From 005506111ae9edd6f9134667b7a4ad407e06df22 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Fri, 22 Dec 2023 10:50:12 +0000 Subject: [PATCH] build based on 8ceea8c --- previews/PR316/.documenter-siteinfo.json | 1 + previews/PR316/api/index.html | 429 +++++++++ previews/PR316/assets/boxplot.png | Bin 0 -> 10596 bytes previews/PR316/assets/documenter.js | 889 ++++++++++++++++++ previews/PR316/assets/hist.png | Bin 0 -> 10332 bytes previews/PR316/assets/scatter.png | Bin 0 -> 60819 bytes .../PR316/assets/themes/documenter-dark.css | 7 + .../PR316/assets/themes/documenter-light.css | 9 + previews/PR316/assets/themeswap.js | 84 ++ previews/PR316/assets/warner.js | 52 + previews/PR316/getting_started/index.html | 152 +++ previews/PR316/index.html | 2 + previews/PR316/man/comparisons/index.html | 14 + previews/PR316/man/dataframes/index.html | 102 ++ previews/PR316/man/glm/index.html | 47 + previews/PR316/man/plotting/index.html | 2 + previews/PR316/man/replicate/index.html | 100 ++ previews/PR316/search_index.js | 3 + previews/PR316/siteinfo.js | 1 + 19 files changed, 1894 insertions(+) create mode 100644 previews/PR316/.documenter-siteinfo.json create mode 100644 previews/PR316/api/index.html create mode 100644 previews/PR316/assets/boxplot.png create mode 100644 previews/PR316/assets/documenter.js create mode 100644 previews/PR316/assets/hist.png create mode 100644 previews/PR316/assets/scatter.png create mode 100644 previews/PR316/assets/themes/documenter-dark.css create mode 100644 previews/PR316/assets/themes/documenter-light.css create mode 100644 previews/PR316/assets/themeswap.js create mode 100644 previews/PR316/assets/warner.js create mode 100644 previews/PR316/getting_started/index.html create mode 100644 previews/PR316/index.html create mode 100644 previews/PR316/man/comparisons/index.html create mode 100644 previews/PR316/man/dataframes/index.html create mode 100644 previews/PR316/man/glm/index.html create mode 100644 previews/PR316/man/plotting/index.html create mode 100644 previews/PR316/man/replicate/index.html create mode 100644 previews/PR316/search_index.js create mode 100644 previews/PR316/siteinfo.js diff --git a/previews/PR316/.documenter-siteinfo.json b/previews/PR316/.documenter-siteinfo.json new file mode 100644 index 00000000..afc0aeab --- /dev/null +++ b/previews/PR316/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.9.4","generation_timestamp":"2023-12-22T10:50:09","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/previews/PR316/api/index.html b/previews/PR316/api/index.html new file mode 100644 index 00000000..f3f728c2 --- /dev/null +++ b/previews/PR316/api/index.html @@ -0,0 +1,429 @@ + +API reference · Survey.jl

API

Index

Survey.AbstractSurveyDesign — Type
AbstractSurveyDesign

Supertype for every survey design type.

Note

The data passed to a survey constructor is modified. To avoid this pass a copy of the data instead of the original.

source
Survey.SurveyDesign — Type
SurveyDesign <: AbstractSurveyDesign

General survey design encompassing a simple random, stratified, cluster or multi-stage design.

In the case of cluster sample, the clusters are chosen by simple random sampling. All individuals in one cluster are sampled. The clusters are considered disjoint and nested.

strata and clusters must be given as columns in data.

Arguments:

  • data::AbstractDataFrame: the survey dataset (!this gets modified by the constructor).
  • strata::Union{Nothing, Symbol}=nothing: the stratification variable.
  • clusters::Union{Nothing, Symbol, Vector{Symbol}}=nothing: the clustering variable.
  • weights::Union{Nothing, Symbol}=nothing: the sampling weights.
  • popsize::Union{Nothing, Symbol}=nothing: the (expected) survey population size.
julia> apiclus1 = load_data("apiclus1");
+
+julia> dclus1 = SurveyDesign(apiclus1; clusters=:dnum, weights=:pw)
+SurveyDesign:
+data: 183×44 DataFrame
+strata: none
+cluster: dnum
+    [637, 637, 637  …  448]
+popsize: [507.7049, 507.7049, 507.7049  …  507.7049]
+sampsize: [15, 15, 15  …  15]
+weights: [33.847, 33.847, 33.847  …  33.847]
+allprobs: [0.0295, 0.0295, 0.0295  …  0.0295]
source
Survey.ReplicateDesign — Type
ReplicateDesign <: AbstractSurveyDesign

Survey design obtained by replicating an original design using an inference method like bootweights or jackknifeweights. If replicate weights are available, then they can be used to directly create a ReplicateDesign object.

Constructors

ReplicateDesign{ReplicateType}(
+    data::AbstractDataFrame,
+    replicate_weights::Vector{Symbol};
+    clusters::Union{Nothing,Symbol,Vector{Symbol}} = nothing,
+    strata::Union{Nothing,Symbol} = nothing,
+    popsize::Union{Nothing,Symbol} = nothing,
+    weights::Union{Nothing,Symbol} = nothing
+) where {ReplicateType <: InferenceMethod}
+
+ReplicateDesign{ReplicateType}(
+    data::AbstractDataFrame,
+    replicate_weights::UnitIndex{Int};
+    clusters::Union{Nothing,Symbol,Vector{Symbol}} = nothing,
+    strata::Union{Nothing,Symbol} = nothing,
+    popsize::Union{Nothing,Symbol} = nothing,
+    weights::Union{Nothing,Symbol} = nothing
+) where {ReplicateType <: InferenceMethod}
+
+ReplicateDesign{ReplicateType}(
+    data::AbstractDataFrame,
+    replicate_weights::Regex;
+    clusters::Union{Nothing,Symbol,Vector{Symbol}} = nothing,
+    strata::Union{Nothing,Symbol} = nothing,
+    popsize::Union{Nothing,Symbol} = nothing,
+    weights::Union{Nothing,Symbol} = nothing
+) where {ReplicateType <: InferenceMethod}

Arguments

ReplicateType must be one of the supported inference types; currently the package supports BootstrapReplicates and JackknifeReplicates. The constructor has the same arguments as SurveyDesign. The only additional argument is replicate_weights, which can be of one of the following types.

  • Vector{Symbol}: In this case, each Symbol in the vector should represent a column of data containing the replicate weights.
  • UnitIndex{Int}: For instance, this could be UnitRange(5:10). This will mean that the replicate weights are contained in columns 5 through 10.
  • Regex: In this case, all the columns of data which match this Regex will be treated as the columns containing the replicate weights.

All the columns containing the replicate weights will be renamed to the form replicate_i, where i ranges from 1 to the number of columns containing the replicate weights.

Examples

Here is an example where the bootweights function is used to create a ReplicateDesign{BootstrapReplicates}.

julia> apistrat = load_data("apistrat");
+
+julia> dstrat = SurveyDesign(apistrat; strata=:stype, weights=:pw);
+
+julia> bootstrat = bootweights(dstrat; replicates=1000)     # creating a ReplicateDesign using bootweights
+ReplicateDesign{BootstrapReplicates}:
+data: 200×1044 DataFrame
+strata: stype
+    [E, E, E  …  H]
+cluster: none
+popsize: [4420.9999, 4420.9999, 4420.9999  …  755.0]
+sampsize: [100, 100, 100  …  50]
+weights: [44.21, 44.21, 44.21  …  15.1]
+allprobs: [0.0226, 0.0226, 0.0226  …  0.0662]
+type: bootstrap
+replicates: 1000
+

If the replicate weights are given to us already, then we can directly pass them to the ReplicateDesign constructor. For instance, in the above example, suppose we had the bootstrat data as a CSV file (for this example, we also rename the columns containing the replicate weights to the form r_i).

julia> using CSV;
+
+julia> DataFrames.rename!(bootstrat.data, ["replicate_"*string(index) => "r_"*string(index) for index in 1:1000]);
+
+julia> CSV.write("apistrat_withreplicates.csv", bootstrat.data);
+

We can now pass the replicate weights directly to the ReplicateDesign constructor, either as a Vector{Symbol}, a UnitRange or a Regex.

julia> bootstrat_direct = ReplicateDesign{BootstrapReplicates}(CSV.read("apistrat_withreplicates.csv", DataFrame), [Symbol("r_"*string(replicate)) for replicate in 1:1000]; strata=:stype, weights=:pw)
+ReplicateDesign{BootstrapReplicates}:
+data: 200×1044 DataFrame
+strata: stype
+    [E, E, E  …  H]
+cluster: none
+popsize: [4420.9999, 4420.9999, 4420.9999  …  755.0]
+sampsize: [100, 100, 100  …  50]
+weights: [44.21, 44.21, 44.21  …  15.1]
+allprobs: [0.0226, 0.0226, 0.0226  …  0.0662]
+type: bootstrap
+replicates: 1000
+
+julia> bootstrat_unitrange = ReplicateDesign{BootstrapReplicates}(CSV.read("apistrat_withreplicates.csv", DataFrame), UnitRange(45:1044);strata=:stype, weights=:pw)
+ReplicateDesign{BootstrapReplicates}:
+data: 200×1044 DataFrame
+strata: stype
+    [E, E, E  …  H]
+cluster: none
+popsize: [4420.9999, 4420.9999, 4420.9999  …  755.0]
+sampsize: [100, 100, 100  …  50]
+weights: [44.21, 44.21, 44.21  …  15.1]
+allprobs: [0.0226, 0.0226, 0.0226  …  0.0662]
+type: bootstrap
+replicates: 1000
+
+julia> bootstrat_regex = ReplicateDesign{BootstrapReplicates}(CSV.read("apistrat_withreplicates.csv", DataFrame), r"r_\d";strata=:stype, weights=:pw)
+ReplicateDesign{BootstrapReplicates}:
+data: 200×1044 DataFrame
+strata: stype
+    [E, E, E  …  H]
+cluster: none
+popsize: [4420.9999, 4420.9999, 4420.9999  …  755.0]
+sampsize: [100, 100, 100  …  50]
+weights: [44.21, 44.21, 44.21  …  15.1]
+allprobs: [0.0226, 0.0226, 0.0226  …  0.0662]
+type: bootstrap
+replicates: 1000
+
source
Survey.load_data — Function
load_data(name)

Load a sample dataset as a DataFrame.

All available datasets can be found here.

julia> apisrs = load_data("apisrs")
+200×40 DataFrame
+ Row │ Column1  cds             stype    name             sname                ⋯
+     │ Int64    Int64           String1  String15         String               ⋯
+─────┼──────────────────────────────────────────────────────────────────────────
+   1 │    1039  15739081534155  H        McFarland High   McFarland High       ⋯
+   2 │    1124  19642126066716  E        Stowers (Cecil   Stowers (Cecil B.) E
+   3 │    2868  30664493030640  H        Brea-Olinda Hig  Brea-Olinda High
+   4 │    1273  19644516012744  E        Alameda Element  Alameda Elementary
+   5 │    4926  40688096043293  E        Sunnyside Eleme  Sunnyside Elementary ⋯
+   6 │    2463  19734456014278  E        Los Molinos Ele  Los Molinos Elementa
+   7 │    2031  19647336058200  M        Northridge Midd  Northridge Middle
+   8 │    1736  19647336017271  E        Glassell Park E  Glassell Park Elemen
+  ⋮  │    ⋮           ⋮            ⋮            ⋮                       ⋮      ⋱
+ 194 │    4880  39686766042782  E        Tyler Skills El  Tyler Skills Element ⋯
+ 195 │     993  15636851531987  H        Desert Junior/S  Desert Junior/Senior
+ 196 │     969  15635291534775  H        North High       North High
+ 197 │    1752  19647336017446  E        Hammel Street E  Hammel Street Elemen
+ 198 │    4480  37683386039143  E        Audubon Element  Audubon Elementary   ⋯
+ 199 │    4062  36678196036222  E        Edison Elementa  Edison Elementary
+ 200 │    2683  24657716025621  E        Franklin Elemen  Franklin Elementary
+                                                 36 columns and 185 rows omitted
source
Survey.bootweights — Function

Use bootweights to create replicate weights using Rao-Wu bootstrap. The function accepts a SurveyDesign and returns a ReplicateDesign{BootstrapReplicates} which has additional columns for replicate weights.

The replicate weight for replicate $r$ is computed using the formula $w_{i}(r) = w_i \times \frac{n_h}{n_h - 1} m_{hj}(r)$ for observation $i$ in psu $j$ of stratum $h$.

In the formula above, $w_i$ is the original weight for observation $i$, $n_h$ is the number of psus in stratum $h$, and $m_{hj}(r)$ is the number of psus in stratum $h$ that are selected in replicate $r$.

julia> using Random
+
+julia> apiclus1 = load_data("apiclus1");
+
+julia> dclus1 = SurveyDesign(apiclus1; clusters = :dnum, popsize=:fpc);
+
+julia> bootweights(dclus1; replicates=1000, rng=MersenneTwister(111)) # choose a seed for deterministic results
+ReplicateDesign{BootstrapReplicates}:
+data: 183×1044 DataFrame
+strata: none
+cluster: dnum
+    [61, 61, 61  …  815]
+popsize: [757, 757, 757  …  757]
+sampsize: [15, 15, 15  …  15]
+weights: [50.4667, 50.4667, 50.4667  …  50.4667]
+allprobs: [0.0198, 0.0198, 0.0198  …  0.0198]
+type: bootstrap
+replicates: 1000
+

Reference

pg 385, Section 9.3.3 Bootstrap - Sharon Lohr, Sampling Design and Analysis (2010)

source
Survey.jackknifeweights — Function
jackknifeweights(design::SurveyDesign)

Delete-1 Jackknife algorithm for replication weights from sampling weights. The replicate weights are calculated using the following formula.

\[w_{i(hj)} = +\begin{cases} + w_i\quad\quad &\text{if observation unit }i\text{ is not in stratum }h\\ + 0\quad\quad &\text{if observation unit }i\text{ is in psu }j\text{of stratum }h\\ + \dfrac{n_h}{n_h - 1}w_i \quad\quad &\text{if observation unit }i\text{ is in stratum }h\text{ but not in psu }j\\ +\end{cases}\]

In the above formula, $w_i$ represent the original weights, $w_{i(hj)}$ represent the replicate weights when the $j$th PSU from cluster $h$ is removed, and $n_h$ represents the number of unique PSUs within cluster $h$. Replicate weights are added as columns to design.data, and these columns have names of the form replicate_i, where i ranges from 1 to the number of replicate weight columns.

Examples

julia> using Survey;
+
+julia> apistrat = load_data("apistrat");
+
+julia> dstrat = SurveyDesign(apistrat; strata=:stype, weights=:pw);
+
+julia> rstrat = jackknifeweights(dstrat)
+ReplicateDesign{JackknifeReplicates}:
+data: 200×244 DataFrame
+strata: stype
+    [E, E, E  …  M]
+cluster: none
+popsize: [4420.9999, 4420.9999, 4420.9999  …  1018.0]
+sampsize: [100, 100, 100  …  50]
+weights: [44.21, 44.21, 44.21  …  20.36]
+allprobs: [0.0226, 0.0226, 0.0226  …  0.0491]
+type: jackknife
+replicates: 200
+

Reference

pg 380-382, Section 9.3.2 Jackknife - Sharon Lohr, Sampling Design and Analysis (2010)

source
Survey.standarderror — Function

standarderror(x::Union{Symbol, Vector{Symbol}}, func::Function, design::ReplicateDesign{BootstrapReplicates}, args...; kwargs...)

Compute the standard error of the estimated mean using the bootstrap method.

Arguments

  • x::Union{Symbol, Vector{Symbol}}: Symbol or vector of symbols representing the variable(s) for which the mean is estimated.
  • func::Function: Function used to calculate the mean.
  • design::ReplicateDesign{BootstrapReplicates}: Replicate design object.
  • args...: Additional arguments to be passed to the function.
  • kwargs...: Additional keyword arguments.

Returns

  • df: DataFrame containing the estimated mean and its standard error.

The standard error is calculated using the formula

\[\hat{V}(\hat{\theta}) = \dfrac{1}{R}\sum_{i = 1}^R(\theta_i - \hat{\theta})^2\]

where above $R$ is the number of replicate weights, $\theta_i$ is the estimator computed using the $i$th set of replicate weights, and $\hat{\theta}$ is the estimator computed using the original weights.

Examples

julia> my_mean(df::DataFrame, column, weights) = StatsBase.mean(df[!, column], StatsBase.weights(df[!, weights]));
+
+julia> Survey.standarderror(:api00, my_mean, bclus1)
+1×2 DataFrame
+ Row │ estimator  SE
+     │ Float64    Float64
+─────┼────────────────────
+   1 │   644.169  23.4107
source

standarderror(x::Symbol, func::Function, design::ReplicateDesign{JackknifeReplicates})

Compute standard error of column x for the given func using the Jackknife method. The formula to compute this variance is the following.

\[\hat{V}_{\text{JK}}(\hat{\theta}) = \sum_{h = 1}^H \dfrac{n_h - 1}{n_h}\sum_{j = 1}^{n_h}(\hat{\theta}_{(hj)} - \hat{\theta})^2\]

Above, $\hat{\theta}$ represents the estimator computed using the original weights, and $\hat{\theta_{(hj)}}$ represents the estimator computed from the replicate weights obtained when PSU $j$ from cluster $h$ is removed.

Examples

julia> my_mean(df::DataFrame, column, weights) = StatsBase.mean(df[!, column], StatsBase.weights(df[!, weights]));
+
+julia> Survey.standarderror(:api00, my_mean, rstrat)
+1×2 DataFrame
+ Row │ estimator  SE
+     │ Float64    Float64
+─────┼────────────────────
+   1 │   662.287  9.53613

Reference

pg 380-382, Section 9.3.2 Jackknife - Sharon Lohr, Sampling Design and Analysis (2010)

source
Statistics.mean — Function
mean(var, design)

Estimate the mean of a variable.

julia> apiclus1 = load_data("apiclus1");
+
+julia> dclus1 = SurveyDesign(apiclus1; clusters = :dnum, weights = :pw)
+SurveyDesign:
+data: 183×44 DataFrame
+strata: none
+cluster: dnum
+    [637, 637, 637  …  448]
+popsize: [507.7049, 507.7049, 507.7049  …  507.7049]
+sampsize: [15, 15, 15  …  15]
+weights: [33.847, 33.847, 33.847  …  33.847]
+allprobs: [0.0295, 0.0295, 0.0295  …  0.0295]
+
+julia> mean(:api00, dclus1)
+1×1 DataFrame
+ Row │ mean
+     │ Float64
+─────┼─────────
+   1 │ 644.169
source
mean(x::Symbol, design::ReplicateDesign)

Compute the standard error of the estimated mean using replicate weights.

Arguments

  • x::Symbol: Symbol representing the variable for which the mean is estimated.
  • design::ReplicateDesign: Replicate design object.

Returns

  • df: DataFrame containing the estimated mean and its standard error.

Examples

julia> mean(:api00, bclus1)
+1×2 DataFrame
+ Row │ mean     SE
+     │ Float64  Float64
+─────┼──────────────────
+   1 │ 644.169  23.4107
source

Estimate the mean of a list of variables.

julia> mean([:api00, :enroll], dclus1)
+2×2 DataFrame
+ Row │ names   mean
+     │ String  Float64
+─────┼─────────────────
+   1 │ api00   644.169
+   2 │ enroll  549.716

Use replicate weights to compute the standard error of the estimated means. 

julia> mean([:api00, :enroll], bclus1)
+2×3 DataFrame
+ Row │ names   mean     SE
+     │ String  Float64  Float64
+─────┼──────────────────────────
+   1 │ api00   644.169  23.4107
+   2 │ enroll  549.716  45.7835
source
mean(var, domain, design)

Estimate means of domains.

julia> mean(:api00, :cname, dclus1)
+11×2 DataFrame
+ Row │ mean     cname
+     │ Float64  String
+─────┼──────────────────────
+   1 │ 669.0    Alameda
+   2 │ 472.0    Fresno
+   3 │ 452.5    Kern
+   4 │ 647.267  Los Angeles
+   5 │ 623.25   Mendocino
+   6 │ 519.25   Merced
+   7 │ 710.563  Orange
+   8 │ 709.556  Plumas
+   9 │ 659.436  San Diego
+  10 │ 551.189  San Joaquin
+  11 │ 732.077  Santa Clara

Use the replicate design to compute standard errors of the estimated means. 

julia> mean(:api00, :cname, bclus1)
+11×3 DataFrame
+ Row │ mean     SE            cname
+     │ Float64  Float64       String
+─────┼────────────────────────────────────
+   1 │ 732.077  58.2169       Santa Clara
+   2 │ 659.436   2.66703      San Diego
+   3 │ 519.25    2.28936e-15  Merced
+   4 │ 647.267  47.6233       Los Angeles
+   5 │ 710.563   2.19826e-13  Orange
+   6 │ 472.0     1.13687e-13  Fresno
+   7 │ 709.556   1.26058e-13  Plumas
+   8 │ 669.0     1.27527e-13  Alameda
+   9 │ 551.189   2.18162e-13  San Joaquin
+  10 │ 452.5     0.0          Kern
+  11 │ 623.25    1.09545e-13  Mendocino
source
Survey.total — Function
total(var, design)

Estimate the population total of variable.

julia> apiclus1 = load_data("apiclus1");
+
+julia> dclus1 = SurveyDesign(apiclus1; clusters = :dnum, weights = :pw);
+
+julia> total(:api00, dclus1)
+1×1 DataFrame
+ Row │ total
+     │ Float64
+─────┼───────────
+   1 │ 3.98999e6
source
total(x::Symbol, design::ReplicateDesign)

Compute the standard error of the estimated total using replicate weights.

Arguments

  • x::Symbol: Symbol representing the variable for which the total is estimated.
  • design::ReplicateDesign: Replicate design object.

Returns

  • df: DataFrame containing the estimated total and its standard error.

Examples

julia> total(:api00, bclus1)
+1×2 DataFrame
+ Row │ total      SE
+     │ Float64    Float64
+─────┼──────────────────────
+   1 │ 3.98999e6  9.01611e5
source

Estimate the population total of a list of variables.

julia> total([:api00, :enroll], dclus1)
+2×2 DataFrame
+ Row │ names   total
+     │ String  Float64
+─────┼───────────────────
+   1 │ api00   3.98999e6
+   2 │ enroll  3.40494e6

Use replicate weights to compute the standard error of the estimated means. 

julia> total([:api00, :enroll], bclus1)
+2×3 DataFrame
+ Row │ names   total      SE
+     │ String  Float64    Float64
+─────┼──────────────────────────────
+   1 │ api00   3.98999e6  9.01611e5
+   2 │ enroll  3.40494e6  9.33396e5
source
total(var, domain, design)

Estimate population totals of domains.

julia> total(:api00, :cname, dclus1)
+11×2 DataFrame
+ Row │ total           cname
+     │ Float64         String
+─────┼─────────────────────────────
+   1 │ 249080.0        Alameda
+   2 │  63903.1        Fresno
+   3 │  30631.5        Kern
+   4 │      3.2862e5   Los Angeles
+   5 │  84380.6        Mendocino
+   6 │  70300.2        Merced
+   7 │      3.84807e5  Orange
+   8 │      2.16147e5  Plumas
+   9 │      1.2276e6   San Diego
+  10 │      6.90276e5  San Joaquin
+  11 │      6.44244e5  Santa Clara

Use the replicate design to compute standard errors of the estimated totals. 

julia> total(:api00, :cname, bclus1)
+11×3 DataFrame
+ Row │ total           SE             cname
+     │ Float64         Float64        String
+─────┼────────────────────────────────────────────
+   1 │      6.44244e5      4.2273e5   Santa Clara
+   2 │      1.2276e6       8.62727e5  San Diego
+   3 │  70300.2        71336.3        Merced
+   4 │      3.2862e5       2.93936e5  Los Angeles
+   5 │      3.84807e5      3.88014e5  Orange
+   6 │  63903.1        64781.7        Fresno
+   7 │      2.16147e5      2.12089e5  Plumas
+   8 │ 249080.0            2.49228e5  Alameda
+   9 │      6.90276e5      6.81604e5  San Joaquin
+  10 │  30631.5        30870.3        Kern
+  11 │  84380.6        80215.9        Mendocino
source
Statistics.quantile — Function
quantile(var, design, p; kwargs...)

Estimate quantile of a variable.

Hyndman and Fan compiled a taxonomy of nine algorithms to estimate quantiles. These are implemented in Statistics.quantile, which this function calls. Julia, R and Python-numpy use the same defaults

References:

julia> apisrs = load_data("apisrs");
+
+julia> srs = SurveyDesign(apisrs; weights=:pw); 
+
+julia> quantile(:api00, srs, 0.5)
+1×1 DataFrame
+ Row │ 0.5th percentile
+     │ Float64
+─────┼──────────────────
+   1 │            659.0
source
quantile(x::Symbol, design::ReplicateDesign, p; kwargs...)

Compute the standard error of the estimated quantile using replicate weights.

Arguments

  • x::Symbol: Symbol representing the variable for which the quantile is estimated.
  • design::ReplicateDesign: Replicate design object.
  • p::Real: Quantile value to estimate, ranging from 0 to 1.
  • kwargs...: Additional keyword arguments.

Returns

  • df: DataFrame containing the estimated quantile and its standard error.

Examples

julia> quantile(:api00, bsrs, 0.5)
+1×2 DataFrame
+ Row │ 0.5th percentile  SE
+     │ Float64           Float64
+─────┼───────────────────────────
+   1 │            659.0  14.9764
source
quantile(var, design, p; kwargs...)

Estimate quantiles of a list of variables.

julia> quantile(:enroll, srs, [0.1,0.2,0.5,0.75,0.95])
+5×2 DataFrame
+ Row │ percentile  statistic
+     │ String      Float64
+─────┼───────────────────────
+   1 │ 0.1             245.5
+   2 │ 0.2             317.6
+   3 │ 0.5             453.0
+   4 │ 0.75            668.5
+   5 │ 0.95           1473.1
source

Use replicate weights to compute the standard errors of the estimated quantiles. 

julia> quantile(:enroll, bsrs, [0.1,0.2,0.5,0.75,0.95])
+5×3 DataFrame
+ Row │ percentile  statistic  SE       
+     │ String      Float64    Float64  
+─────┼─────────────────────────────────
+   1 │ 0.1             245.5   20.2964
+   2 │ 0.2             317.6   13.5435
+   3 │ 0.5             453.0   24.9719
+   4 │ 0.75            668.5   34.2487
+   5 │ 0.95           1473.1  142.568
source

quantile(var, domain, design)

Estimate a quantile of domains.

julia> quantile(:api00, :cname, dclus1, 0.5)
+11×2 DataFrame
+ Row │ 0.5th percentile  cname
+     │ Float64           String
+─────┼───────────────────────────────
+   1 │            669.0  Alameda
+   2 │            474.5  Fresno
+   3 │            452.5  Kern
+   4 │            628.0  Los Angeles
+   5 │            616.5  Mendocino
+   6 │            519.5  Merced
+   7 │            717.5  Orange
+   8 │            699.0  Plumas
+   9 │            657.0  San Diego
+  10 │            542.0  San Joaquin
+  11 │            718.0  Santa Clara
source
Survey.ratio — Function
ratio(numerator, denominator, design)

Estimate the ratio of the columns specified in numerator and denominator.

julia> apiclus1 = load_data("apiclus1");
+
+julia> dclus1 = SurveyDesign(apiclus1; clusters = :dnum, weights = :pw);
+
+julia> ratio([:api00, :enroll], dclus1)
+1×1 DataFrame
+ Row │ ratio
+     │ Float64
+─────┼─────────
+   1 │ 1.17182
+
source
ratio(x::Vector{Symbol}, design::ReplicateDesign)

Compute the standard error of the ratio using replicate weights.

Arguments

  • variable_num::Symbol: Symbol representing the numerator variable.
  • variable_den::Symbol: Symbol representing the denominator variable.
  • design::ReplicateDesign: Replicate design object.

Examples

julia> ratio([:api00, :api99], bclus1)
+1×2 DataFrame
+ Row │ estimator  SE         
+     │ Float64    Float64    
+─────┼───────────────────────
+   1 │   1.06127  0.00672259
source
ratio(var, domain, design)

Estimate ratios of domains.

julia> ratio([:api00, :api99], :cname, dclus1)
+11×2 DataFrame
+ Row │ ratio    cname
+     │ Float64  String
+─────┼──────────────────────
+   1 │ 1.09852  Alameda
+   2 │ 1.17779  Fresno
+   3 │ 1.11453  Kern
+   4 │ 1.06307  Los Angeles
+   5 │ 1.00565  Mendocino
+   6 │ 1.08121  Merced
+   7 │ 1.03628  Orange
+   8 │ 1.02127  Plumas
+   9 │ 1.06112  San Diego
+  10 │ 1.07331  San Joaquin
+  11 │ 1.05598  Santa Clara

Use the replicate design to compute standard errors of the estimated means. 

julia> ratio([:api00, :api99], :cname, bclus1)
+11×3 DataFrame
+ Row │ estimator  SE           cname       
+     │ Float64    Float64      String      
+─────┼─────────────────────────────────────
+   1 │   1.05598  0.0189429    Santa Clara
+   2 │   1.06112  0.00979481   San Diego
+   3 │   1.08121  6.85453e-17  Merced
+   4 │   1.06307  0.0257137    Los Angeles
+   5 │   1.03628  0.0          Orange
+   6 │   1.17779  6.27535e-18  Fresno
+   7 │   1.02127  0.0          Plumas
+   8 │   1.09852  2.12683e-16  Alameda
+   9 │   1.07331  2.22045e-16  San Joaquin
+  10 │   1.11453  0.0          Kern
+  11 │   1.00565  0.0          Mendocino
source
GLM.glm — Function
glm(formula::FormulaTerm, design::ReplicateDesign, args...; kwargs...)

Perform generalized linear modeling (GLM) using the survey design with replicates.

Arguments

  • formula: A FormulaTerm specifying the model formula.
  • design: A ReplicateDesign object representing the survey design with replicates.
  • args...: Additional arguments to be passed to the glm function.
  • kwargs...: Additional keyword arguments to be passed to the glm function.

Returns

A DataFrame containing the estimates for model coefficients and their standard errors.

Example

apisrs = load_data("apisrs")
+srs = SurveyDesign(apisrs)
+bsrs = bootweights(srs, replicates = 2000)
+result = glm(@formula(api00 ~ api99), bsrs, Normal())
julia> glm(@formula(api00 ~ api99), bsrs, Normal())
+2×2 DataFrame
+ Row │ estimator  SE        
+     │ Float64    Float64   
+─────┼──────────────────────
+   1 │ 63.2831    9.41231
+   2 │  0.949762  0.0135488
source
Survey.plot — Function
plot(design, x, y; kwargs...)

Scatter plot of survey design variables x and y.

The plot takes into account the frequency weights specified by the user in the design.

julia> using AlgebraOfGraphics
+
+julia> apisrs = load_data("apisrs");
+
+julia> srs = SurveyDesign(apisrs; weights=:pw);
+
+julia> s = plot(srs, :api99, :api00);
+
+julia> save("scatter.png", s)

source
Survey.boxplot — Function
boxplot(design, x, y; kwargs...)

Box plot of survey design variable y grouped by column x.

Weights can be specified by a Symbol using the keyword argument weights.

The keyword arguments are all the arguments that can be passed to mapping in AlgebraOfGraphics.

julia> using AlgebraOfGraphics
+
+julia> apisrs = load_data("apisrs");
+
+julia> srs = SurveyDesign(apisrs; weights=:pw);
+
+julia> bp = boxplot(srs, :stype, :enroll; weights = :pw);
+
+julia> save("boxplot.png", bp)

source
Survey.hist — Function
hist(design, var, bins = freedman_diaconis; normalization = :density, kwargs...)

Histogram plot of a survey design variable given by var.

bins can be an Integer specifying the number of equal-width bins, an AbstractVector specifying the bins intervals, or a Function specifying the function used for calculating the number of bins. The possible functions are sturges and freedman_diaconis.

The normalization can be set to :none, :density, :probability or :pdf. See AlgebraOfGraphics.histogram for more information.

For the complete argument list see Makie.hist.

Note

The weights argument should be a Symbol specifying a design variable.

julia> using AlgebraOfGraphics
+
+julia> apisrs = load_data("apisrs");
+
+julia> srs = SurveyDesign(apisrs; weights=:pw);
+
+julia> h = hist(srs, :enroll);
+
+julia> save("hist.png", h)

source
Survey.sturges — Function
sturges(design::SurveyDesign, var::Symbol)

Calculate the number of bins to use in a histogram using the Sturges rule.

Examples

julia> apisrs = load_data("apisrs");
+
+julia> srs = SurveyDesign(apisrs; weights=:pw);
+
+julia> sturges(srs, :enroll)
+9
source
Survey.freedman_diaconis — Function
freedman_diaconis(design::SurveyDesign, var::Symbol)

Calculate the number of bins to use in a histogram using the Freedman-Diaconis rule.

Examples

julia> apisrs = load_data("apisrs");
+
+julia> srs = SurveyDesign(apisrs; weights=:pw);
+
+julia> freedman_diaconis(srs, :enroll)
+18
source
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+ } else { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + $(this) + .find(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + $(this).siblings("section").slideToggle(); + }); +}); + +$(document).on("click", ".docs-article-toggle-button", function () { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-xmark"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-xmark"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'minisearch'], function($, minisearch) { + +// In general, most search related things will have "search" as a prefix. +// To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +let results = []; +let timer = undefined; + +let data = documenterSearchIndex["docs"].map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; +}); + +// list below is the lunr 2.1.3 list minus the intersect with names(Base) +// (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) +// ideally we'd just filter the original list but it's not available as a variable +const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", +]); + +let index = new minisearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with search results + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + boost: { title: 100 }, + fuzzy: 2, + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + } + + return word ?? null; + }, + tokenize: (string) => string.split(/[\s\-\.]+/), + }, +}); + +index.addAll(data); + +let filters = [...new Set(data.map((x) => x.category))]; +var modal_filters = make_modal_body_filters(filters); +var filter_results = []; + +$(document).on("keyup", ".documenter-search-input", function (event) { + // Adding a debounce to prevent disruptions from super-speed typing! + debounce(() => update_search(filter_results), 300); +}); + +$(document).on("click", ".search-filter", function () { + if ($(this).hasClass("search-filter-selected")) { + $(this).removeClass("search-filter-selected"); + } else { + $(this).addClass("search-filter-selected"); + } + + // Adding a debounce to prevent disruptions from crazy clicking! + debounce(() => get_filters(), 300); +}); + +/** + * A debounce function, takes a function and an optional timeout in milliseconds + * + * @function callback + * @param {number} timeout + */ +function debounce(callback, timeout = 300) { + clearTimeout(timer); + timer = setTimeout(callback, timeout); +} + +/** + * Make/Update the search component + * + * @param {string[]} selected_filters + */ +function update_search(selected_filters = []) { + let initial_search_body = ` +
Type something to get started!
+ `; + + let querystring = $(".documenter-search-input").val(); + + if (querystring.trim()) { + results = index.search(querystring, { + filter: (result) => { + // Filtering results + if (selected_filters.length === 0) { + return result.score >= 1; + } else { + return ( + result.score >= 1 && selected_filters.includes(result.category) + ); + } + }, + }); + + let search_result_container = ``; + let search_divider = `
`; + + if (results.length) { + let links = []; + let count = 0; + let search_results = ""; + + results.forEach(function (result) { + if (result.location) { + // Checking for duplication of results for the same page + if (!links.includes(result.location)) { + search_results += make_search_result(result, querystring); + count++; + } + + links.push(result.location); + } + }); + + let result_count = `
${count} result(s)
`; + + search_result_container = ` +
+ ${modal_filters} + ${search_divider} + ${result_count} +
+ ${search_results} +
+
+ `; + } else { + search_result_container = ` +
+ ${modal_filters} + ${search_divider} +
0 result(s)
+
+
No result found!
+ `; + } + + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(search_result_container); + } else { + filter_results = []; + modal_filters = make_modal_body_filters(filters, filter_results); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(initial_search_body); + } +} + +/** + * Make the modal filter html + * + * @param {string[]} filters + * @param {string[]} selected_filters + * @returns string + */ +function make_modal_body_filters(filters, selected_filters = []) { + let str = ``; + + filters.forEach((val) => { + if (selected_filters.includes(val)) { + str += `${val}`; + } else { + str += `${val}`; + } + }); + + let filter_html = ` +
+ Filters: + ${str} +
+ `; + + return filter_html; +} + +/** + * Make the result component given a minisearch result data object and the value of the search input as queryString. + * To view the result object structure, refer: https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ +function make_search_result(result, querystring) { + let search_divider = `
`; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + + let textindex = new RegExp(`\\b${querystring}\\b`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`\\b${querystring}\\b`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
+
${result.title}
+
${result.category}
+
+

+ ${display_result} +

+
+ ${display_link} +
+ + ${search_divider} + `; + + return result_div; +} + +/** + * Get selected filters, remake the filter html and lastly update the search modal + */ +function get_filters() { + let ele = $(".search-filters .search-filter-selected").get(); + filter_results = ele.map((x) => $(x).text().toLowerCase()); + modal_filters = make_modal_body_filters(filters, filter_results); + update_search(filter_results); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function () { + var settings = $("#documenter-settings"); + $("#documenter-settings-button").click(function () { + settings.toggleClass("is-active"); + }); + // Close the dialog if X is clicked + $("#documenter-settings button.delete").click(function () { + settings.removeClass("is-active"); + }); + // Close dialog if ESC is pressed + $(document).keyup(function (e) { + if (e.keyCode == 27) settings.removeClass("is-active"); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let search_modal_header = ` +
+
+

+ + + + +

+
+
+ +
+
+`; + +let initial_search_body = ` +
Type something to get started!
+`; + +let search_modal_footer = ` +
+ + Ctrl + + / to search + + esc to close +
+`; + +$(document.body).append( + ` + + ` +); + +document.querySelector(".docs-search-query").addEventListener("click", () => { + openModal(); +}); + +document.querySelector(".close-search-modal").addEventListener("click", () => { + closeModal(); +}); + +$(document).on("click", ".search-result-link", function () { + closeModal(); +}); + +document.addEventListener("keydown", (event) => { + if ((event.ctrlKey || event.metaKey) && event.key === "/") { + openModal(); + } else if (event.key === "Escape") { + closeModal(); + } + + return false; +}); + +// Functions to open and close a modal +function openModal() { + let searchModal = document.querySelector("#search-modal"); + + searchModal.classList.add("is-active"); + document.querySelector(".documenter-search-input").focus(); +} + +function closeModal() { + let searchModal = document.querySelector("#search-modal"); + let initial_search_body = ` +
Type something to get started!
+ `; + + searchModal.classList.remove("is-active"); + document.querySelector(".documenter-search-input").blur(); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); +} + +document + .querySelector("#search-modal .modal-background") + .addEventListener("click", () => { + closeModal(); + }); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function () { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button"); + sidebar_button.click(function (ev) { + ev.preventDefault(); + sidebar.toggleClass("visible"); + if (sidebar.hasClass("visible")) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind("click", function (ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass("visible")) { + sidebar.removeClass("visible"); + } + }); +}); + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function () { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css("max-width"), 10); + var L0 = e.width(); + if (L0 > L) { + var h0 = parseInt(e.css("font-size"), 10); + e.css("font-size", (L * h0) / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on("orientationchange", resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function () { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if (typeof active !== "undefined") { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Theme picker setup +$(document).ready(function () { + // onchange callback + $("#documenter-themepicker").change(function themepick_callback(ev) { + var themename = $("#documenter-themepicker option:selected").attr("value"); + if (themename === "auto") { + // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); + window.localStorage.removeItem("documenter-theme"); + } else { + // set_theme(themename); + window.localStorage.setItem("documenter-theme", themename); + } + // We re-use the global function from themeswap.js to actually do the swapping. + set_theme_from_local_storage(); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if (typeof window.localStorage !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if (theme !== null) { + $("#documenter-themepicker option").each(function (i, e) { + e.selected = e.value === theme; + }); + } + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function () { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if ( + typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && + DOCUMENTER_VERSION_SELECTOR_DISABLED + ) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function (x) { + target_href = version_selector_select + .children("option:selected") + .get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if ( + typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && + $("#version-selector > option").length == 0 + ) { + var option = $( + "" + ); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== "undefined") { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function (i, x) { + return x.text; + }); + DOC_VERSIONS.forEach(function (each) { + var version_url = documenterBaseURL + "/../" + each + "/"; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $( + "" + ); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}); + +}) diff --git a/previews/PR316/assets/hist.png b/previews/PR316/assets/hist.png new file mode 100644 index 0000000000000000000000000000000000000000..966d3ea22262c42c541f7e8931a69f7960e4d4e8 GIT binary patch literal 10332 zcmeHtc|4VS*Y|}`M{z2p5<01f5Sgc~qn*l*qrsLrV-hM;hP^k{$%!I$goNUlGG?AO zN-~ACi)7eE#?3a5dwSNT^FHT(-p_sC=iK-Ex!=E@Di}DAT@fDd0_2kGXx1V*4Z`Gc!*8N`Ft8 zXEifz{k&dw1&8sr#eYd=t1w07t``t81J%KZo=O` z-WDMEeVm$yysWIOv~`m(^DlEi3R)0Qx!os4vBikZ?^yc0V z`nLqd$~*C*>c#H8C-13LG{n!TJ(`JCI7h*a@8(GkLtKD@8N-SSEuVl3`~B-(N}io!FiJ5>UN(BU1C2% zL@;HU2H z3eJv}x!qmq+1YMWpI-#b?eE%RmT~4;R@SAVH?eBeKu>GyKE`A<#-V^vW+oCZ$9TVAOHpHM%3RKN5w zFM&o$J=r~oHHWy1NJ|%$h>nU{<_vI2Mjrb* zJRJS-A!OD|X=&+WDW|3hytWFi9v;SN6v4R&85x;R6ywH)t)s+9Q+<8?R1q#@DL-E} z@8ZRaN5gk^G3L)^;&bH>9N4MmZpl}|jeL{@x73UIS`vwDu&nx0SAJ@0>R!W#mL%4^ z=WuIFb93|DMFg=i_2D%=eE7xvy@uxI=KG8jw7o{&QjD}F7*q~%k(P-dSFyKjzFJ#Y zR5V8&f3Pq6TtRAaadAe5%gdYV>gwvYpIeVSY0IZotgYDlpb^5v*Ov z{55>}SMux6(dvKi_V1zm|N1Q$5E!t!1ge~ZH8t;it!JA~iQnuHxq1_#hxr|zF>`PA z$+?Ba#jP=l15a)UYEBeVWMpM?%Z47|CisxIYO(9G9zJ|H*c{EN#V~6jv3$x#oiU8A zFomkpz~vbziP*5MR=&O7VIm5x4fhd*@F2Fv9DsXnlp^8xHPT^*Blote%a6laY>PcK z9Ah7TeBXoN$DXaz^%B(=+LP`aSoiHI=L(!ul+okN*|YOi>=*nJ0I@DjzwXz;r{ZGs z;aT56f6&=Kn3Gmjr5l>GQS#`VWkyz3PrjoelwTs7lfClwfwAuL*9Tk8ifW zdw2gtN_ly?5_#?U!jck?-g57^PY$Dy3FQeO&mls0Zw0q2Tx22~_3+_><$gK2iLtSZ zmo8(8W{xzfZ>dcjNzt*iEdyf z=gys*6w(^cs}+P_eR$Y%5o|k@=g_b)-VXWD(9nK?tQR-RL zAT{C*Ii0px6J?LSN^orB1F7M`K|tAVk80Md&Bkx$fQJU`strE73eFBnWwtM_Cvup> zqNc49${j}RDs-XjjkerGnTnJ&V1Jdu+;&k%Ue%wz`Tv7?{qxGe+K|<0Lt>4l zCAxcf2<2};YLK_onw62{2qO$@4$QR;^$y~;(#bs9Uhx3ZC-q->#>F>lyA7gmyfv@LGo>aYCe^D4kt(G z`oG@peCEuV$ApEhlP6Cu_61B1wZy5pee#-z2=QviDv;++aY$Q`Aj@`GMhS^g0&!c- z>aOmE>)lFvO>JyA;{|OAo~;_Sw>AJ}2IkyXdSw8(-DU?o67={UwXIEI|NgSk)HtV> zM`wXGc|Om~bY(0|I669-2!DA09v(k8i|0Zbeqa&SWai}1yPOjztnennV3RZ46jIqj z7z=Balb5Ft=W-+W^jFwxJ2t5GOm$P)3$;R+9(Z6zTEZtr>RnMa!R<=FrKhJ;Xuh+#9eWZU#){Zqi7sbAlgGR*&-0 z)XTDPbuqiDf%Q9V-N@ob4j!CS%rnig^rK~$w8kECu4XL+eEC^~JyP$5dBuz5<&N6h z5|+M%2x(8%yw5l-@ZERp_p>*k0s5#mub5|~G59NRBRak`(QhdBye~J>;6ezL$O5i< z|Nea@(~6Px{P{H4(3N*yzgmO`X*kQpmV23*Q$AM1BXlPz9lo8a6-rcf`?NGYFiBqQ zV;l1!4Oob{x-b#WEQT{%Qq7u>4&5qmS?bnZ3>N~C=!f6tZY`l?>n5J@Q5)kI9g-@K}G+UX!cJrrt9Xp(f~FytjCr7RJ>hE8{t$8h5eQ=)r#CTu3bl{4eBCi2lUjX{x@gak`UQTI0L_9h z&#HsxUyFKZFMPCz0)$pbc{OOBZK?06HJY<;&@SkWbSR{7J`e=xR3W(<+>G->$j+Hotx3y(i6ZdyGIO?#f!U7i5}8-a(`C(3BqOx*v$H1}r4peE z{*pBE(LRE}oUV6nOAz}%{`3dbxZmh-@?;Bum+rNx&(fi(M)50frVijpB4Od&FB`a! zt2h!5nxpV>@1Qpx^*kPr2N?i^x;Y8l48e)dHviDx-p=R;xJs7RoT}krXzcuEOe?HM z&Z77+q(C)?HAxwrdnjk|P~K{VJW23)eP?@Zh>%eJZbZ+0)Wi1f4wZ|I_xGZ8W~M*yo{YM0j=#d_#XFSa~VDJm+`zqLLiCrA8{6OL04 zQIU=WZ^4=<#cDGle=y9cT@)00C3t9176ZmI(tJ3I(1sF31(AD{m2GB+oLiYIoz;D; 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h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content 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.docs-logo>img.is-5by4{padding-top:80%}html.theme--documenter-dark .image.is-4by3,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3{padding-top:75%}html.theme--documenter-dark .image.is-3by2,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2{padding-top:66.6666%}html.theme--documenter-dark .image.is-5by3,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3{padding-top:60%}html.theme--documenter-dark .image.is-16by9,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9{padding-top:56.25%}html.theme--documenter-dark .image.is-2by1,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-2by1{padding-top:50%}html.theme--documenter-dark .image.is-3by1,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by1{padding-top:33.3333%}html.theme--documenter-dark .image.is-4by5,html.theme--documenter-dark #documenter .docs-sidebar 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+ Maintainer: @highlightjs/core-team + Website: https://highlightjs.org/ + License: see project LICENSE + Touched: 2021 +*/pre code.hljs{display:block;overflow-x:auto;padding:1em}code.hljs{padding:3px 5px}.hljs{background:#F3F3F3;color:#444}.hljs-comment{color:#697070}.hljs-tag,.hljs-punctuation{color:#444a}.hljs-tag .hljs-name,.hljs-tag .hljs-attr{color:#444}.hljs-keyword,.hljs-attribute,.hljs-selector-tag,.hljs-meta .hljs-keyword,.hljs-doctag,.hljs-name{font-weight:bold}.hljs-type,.hljs-string,.hljs-number,.hljs-selector-id,.hljs-selector-class,.hljs-quote,.hljs-template-tag,.hljs-deletion{color:#880000}.hljs-title,.hljs-section{color:#880000;font-weight:bold}.hljs-regexp,.hljs-symbol,.hljs-variable,.hljs-template-variable,.hljs-link,.hljs-selector-attr,.hljs-operator,.hljs-selector-pseudo{color:#ab5656}.hljs-literal{color:#695}.hljs-built_in,.hljs-bullet,.hljs-code,.hljs-addition{color:#397300}.hljs-meta{color:#1f7199}.hljs-meta 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Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", maybeAddWarning); +} else { + maybeAddWarning(); +} diff --git a/previews/PR316/getting_started/index.html b/previews/PR316/getting_started/index.html new file mode 100644 index 00000000..2437fb0f --- /dev/null +++ b/previews/PR316/getting_started/index.html @@ -0,0 +1,152 @@ + +Getting Started · Survey.jl

Installation

The Survey.jl package is registered. Regular Pkg commands can be used for installing the package:

julia> using Pkg
julia> Pkg.add("Survey")    Updating registry at `~/.julia/registries/General.toml`
+   Resolving package versions...
+   Installed Survey ─ v0.2.0
+    Updating `~/work/Survey.jl/Survey.jl/docs/Project.toml`
+  [c1a98b4d] ~ Survey v0.4.0 `~/work/Survey.jl/Survey.jl` ⇒ v0.2.0
+    Updating `~/work/Survey.jl/Survey.jl/docs/Manifest.toml`
+  [c1a98b4d] ~ Survey v0.4.0 `~/work/Survey.jl/Survey.jl` ⇒ v0.2.0
+Precompiling project...
+  ✓ UnPack
+  ✓ RangeArrays
+  ✓ PositiveFactorizations
+  ✓ PkgVersion
+  ✓ Grisu
+  ✓ Inflate
+  ✓ MappedArrays
+  ✓ ProgressMeter
+  ✓ SimpleTraits
+  ✓ CommonSubexpressions
+  ✓ DiffResults
+  ✓ StackViews
+  ✓ PaddedViews
+  ✓ LLVMOpenMP_jll
+  ✓ Imath_jll
+  ✓ IntelOpenMP_jll
+  ✓ JpegTurbo_jll
+  ✓ ArrayInterface
+  ✓ Parameters
+  ✓ DiffRules
+  ✓ QOI
+  ✓ MosaicViews
+  ✓ AxisArrays
+  ✓ MKL_jll
+  ✓ OpenEXR_jll
+  ✓ ArrayInterface → ArrayInterfaceGPUArraysCoreExt
+  ✓ libsixel_jll
+  ✓ ArrayInterface → ArrayInterfaceStaticArraysCoreExt
+  ✓ OpenEXR
+  ✓ FiniteDiff
+  ✓ FiniteDiff → FiniteDiffStaticArraysExt
+  ✓ ForwardDiff
+  ✓ ForwardDiff → ForwardDiffStaticArraysExt
+  ✓ NLSolversBase
+  ✓ LineSearches
+  ✓ Optim
+  ✓ ImageCore
+  ✓ JpegTurbo
+  ✓ Sixel
+  ✓ ImageBase
+  ✓ ImageAxes
+  ✓ PNGFiles
+  ✓ ImageMetadata
+  ✓ Netpbm
+  ✓ TiffImages
+  ✓ Survey
+  46 dependencies successfully precompiled in 58 seconds. 238 already precompiled.
+  1 dependency precompiled but a different version is currently loaded. Restart julia to access the new version
]  add Survey

Tutorial

This tutorial assumes basic knowledge of statistics and survey analysis.

To begin this tutorial, load the package in your workspace:

julia> using Survey

Now load a survey dataset that you want to study. In this tutorial we will be using the Academic Performance Index (API) datasets for Californian schools. The datasets contain information for all schools with at least 100 students and for various probability samples of the data.

julia> apisrs = load_data("apisrs")200×40 DataFrame
+ Row │ Column1  cds             stype    name             sname                ⋯
+     │ Int64    Int64           String1  String15         String               ⋯
+─────┼──────────────────────────────────────────────────────────────────────────
+   1 │    1039  15739081534155  H        McFarland High   McFarland High       ⋯
+   2 │    1124  19642126066716  E        Stowers (Cecil   Stowers (Cecil B.) E
+   3 │    2868  30664493030640  H        Brea-Olinda Hig  Brea-Olinda High
+   4 │    1273  19644516012744  E        Alameda Element  Alameda Elementary
+   5 │    4926  40688096043293  E        Sunnyside Eleme  Sunnyside Elementary ⋯
+   6 │    2463  19734456014278  E        Los Molinos Ele  Los Molinos Elementa
+   7 │    2031  19647336058200  M        Northridge Midd  Northridge Middle
+   8 │    1736  19647336017271  E        Glassell Park E  Glassell Park Elemen
+  ⋮  │    ⋮           ⋮            ⋮            ⋮                       ⋮      ⋱
+ 194 │    4880  39686766042782  E        Tyler Skills El  Tyler Skills Element ⋯
+ 195 │     993  15636851531987  H        Desert Junior/S  Desert Junior/Senior
+ 196 │     969  15635291534775  H        North High       North High
+ 197 │    1752  19647336017446  E        Hammel Street E  Hammel Street Elemen
+ 198 │    4480  37683386039143  E        Audubon Element  Audubon Elementary   ⋯
+ 199 │    4062  36678196036222  E        Edison Elementa  Edison Elementary
+ 200 │    2683  24657716025621  E        Franklin Elemen  Franklin Elementary
+                                                 36 columns and 185 rows omitted

apisrs is a simple random sample of the Academic Performance Index of Californian schools. The load_data function loads it as a DataFrame. You can look at the column names of apisrs to get an idea of what the dataset contains.

julia> names(apisrs)40-element Vector{String}:
+ "Column1"
+ "cds"
+ "stype"
+ "name"
+ "sname"
+ "snum"
+ "dname"
+ "dnum"
+ "cname"
+ "cnum"
+ ⋮
+ "col.grad"
+ "grad.sch"
+ "avg.ed"
+ "full"
+ "emer"
+ "enroll"
+ "api.stu"
+ "pw"
+ "fpc"

Next, build a survey design from your DataFrame:

julia> srs = SurveyDesign(apisrs; weights=:pw)SurveyDesign:
+data: 200×45 DataFrame
+strata: none
+cluster: none
+popsize: [6194.0, 6194.0, 6194.0  …  6194.0]
+sampsize: [200, 200, 200  …  200]
+weights: [30.97, 30.97, 30.97  …  30.97]
+allprobs: [0.0323, 0.0323, 0.0323  …  0.0323]

This is a simple random sample design with weights given by the column :pw of apisrs. You can also create more complex designs such as stratified or cluster sample designs. You can find more information on the complete capabilities of the package in the Manual. The purpose of this tutorial is to show the basic usage of the package. For that, we will stick with a simple random sample.

Now you can analyse your design according to your needs using the functionality provided by the package. For example, you can compute the estimated mean or population total for a given variable. Let's say you want to find the mean Academic Performance Index from the year 1999. If you are only interested in the estimated mean, then you can directly pass your design to the mean function:

julia> mean(:api99, srs)1×1 DataFrame
+ Row │ mean    
+     │ Float64 
+─────┼─────────
+   1 │ 624.685

If you also want to know the standard error of the mean, you need to convert the SurveyDesign to a ReplicateDesign using bootstrapping:

julia> bsrs = bootweights(srs; replicates = 1000)ReplicateDesign{BootstrapReplicates}:
+data: 200×1045 DataFrame
+strata: none
+cluster: none
+popsize: [6194.0, 6194.0, 6194.0  …  6194.0]
+sampsize: [200, 200, 200  …  200]
+weights: [30.97, 30.97, 30.97  …  30.97]
+allprobs: [0.0323, 0.0323, 0.0323  …  0.0323]
+type: bootstrap
+replicates: 1000
julia> mean(:api99, bsrs)1×2 DataFrame
+ Row │ mean     SE      
+     │ Float64  Float64 
+─────┼──────────────────
+   1 │ 624.685  9.84669

You can find the mean of both the 1999 API and 2000 API for a clear comparison between students' performance from one year to another:

julia> mean([:api99, :api00], bsrs)2×3 DataFrame
+ Row │ names   mean     SE      
+     │ String  Float64  Float64 
+─────┼──────────────────────────
+   1 │ api99   624.685  9.84669
+   2 │ api00   656.585  9.5409

The ratio is also appropriate for studying the relationship between the two APIs:

julia> ratio(:api00, :api99, bsrs)ERROR: MethodError: no method matching ratio(::Symbol, ::Symbol, ::ReplicateDesign{BootstrapReplicates})
+
+Closest candidates are:
+  ratio(::Vector{Symbol}, ::Any, ::AbstractSurveyDesign)
+   @ Survey ~/work/Survey.jl/Survey.jl/src/ratio.jl:109

If you're interested in a certain statistic estimated by a specific domain, you can add the domain as the second parameter to your function. Let's say you want to find the estimated total number of students enrolled in schools from each county:

julia> total(:enroll, :cname, bsrs)38×3 DataFrame
+ Row │ total           SE             cname           
+     │ Float64         Float64        String          
+─────┼────────────────────────────────────────────────
+   1 │      1.95823e5  74731.2        Kern
+   2 │ 867129.0            1.36622e5  Los Angeles
+   3 │      1.68786e5  63858.0        Orange
+   4 │   6720.49        6790.49       San Luis Obispo
+   5 │  30319.6        18197.6        San Francisco
+   6 │   6503.7         6481.36       Modoc
+   7 │ 134224.0        46808.0        Alameda
+   8 │  64479.5        39542.0        Solano
+  ⋮  │       ⋮               ⋮               ⋮
+  32 │  32642.4        23541.9        Kings
+  33 │  36203.9        32062.1        Shasta
+  34 │  12171.2        12502.9        Yolo
+  35 │  12976.4        13241.6        Calaveras
+  36 │  39239.0        30181.9        Napa
+  37 │   6410.79        6986.29       Lake
+  38 │  15392.1        15202.2        Merced
+                                       23 rows omitted

Another way to visualize data is through graphs. You can make a histogram to better see the distribution of enrolled students:

julia> hist(srs, :enroll)

The REPL doesn't show the plot. To see it, you need to save it locally.

julia> import AlgebraOfGraphics.save
+
+julia> save("hist.png", h)

diff --git a/previews/PR316/index.html b/previews/PR316/index.html new file mode 100644 index 00000000..bc63f8b3 --- /dev/null +++ b/previews/PR316/index.html @@ -0,0 +1,2 @@ + +Home · Survey.jl

Survey

This package is used to study complex survey data. It aims to provide an efficient computing framework for survey analysis.

Surveys are a standard tool for empirical research in social and behavioral sciences, and also widely used by governments and businesses. To obtain a better representation of a population and more precise estimates, complex surveys use sampling techniques like clustering, stratification, unequal probability selection or a combination of these. Computing population estimates from a survey with corresponding standard errors requires several corrections, weights calibrations and adjustments. A "survey" package automatically applies several of these mathematical techniques and exposes an intuitive API to the user.

Sizes of survey datasets have also been growing with advances in computing power and storage, as well as ease of administering surveys online and over wider geographic areas. This Julia package aims to provide an efficient framework for rapidly growing sizes of survey datasets.

Several software tools are available to study complex surveys[1]. The survey package in R is a widely used open-source package.

Discourse post announcing the package.

Current features

Presently, summary statistics such as mean, total, ratio, and quantile can be estimated for whole of sample as well as subpopulations/domains using this package. Variance estimation for these estimators are performed using Rao-Wu bootstrap[2]. Basic visualisations such a scatter plot, histogram and box plot can also be generated.

The package is built on top of DataFrames.jl and supports a variety of features for data manipulation. Plots are generated using AlgebraOfGraphics.

Plans

We plan for efficient implementations of all the methods in R survey. Features for future releases will include:

  • Proportion and count estimation
  • Variance by Taylor linearization for SurveyDesign
  • Support additional replicate weighting algorithms (BRR, Jackknife, other bootstrap flavors) for ReplicateDesign
  • Better support for more complex survey designs, including more precise estimators for specific designs
  • Post-stratification, raking or calibration, GREG estimation and related methods.
  • Frequency/contingency table analysis, association tests
  • Survival curves and analysis tools
  • Integration with GLM.jl
  • Support for CategoricalsArrays
  • Multivariate analysis, principal components
  • Support for imputing missing data
  • Integration with CRRao.jl

References

diff --git a/previews/PR316/man/comparisons/index.html b/previews/PR316/man/comparisons/index.html new file mode 100644 index 00000000..241bac6f --- /dev/null +++ b/previews/PR316/man/comparisons/index.html @@ -0,0 +1,14 @@ + +Comparison with other survey analysis tools · Survey.jl

Comparison with other survey analysis tools

There are multiple alternatives that offer survey analysis tools, most notably SAS, Stata and R.

R comparison

The inspiration for Survey.jl comes from R. Hence the syntax is in most cases very similar to the syntax in the survey package from R. To showcase this we will use the api datasets found in both R's survey and Survey.jl. See the Tutorial section for more details about the api datesets.

All examples show the R code first, followed by the Julia code.

Loading data

> data(api)
+# all `api` datasets are loaded globally
julia> srs = load_data("apisrs")
+# only one dataset is loaded and stored in a variable

Creating a design

> srs = svydesign(id=~1, data=apisrs, weights=~pw) # simple random sample
+> dstrat = svydesign(id=~1, data=apistrat, strata=~stype, weights=~pw) # stratified
+> clus1 = svydesign(id=~dnum, data=apiclus1, weights=~pw) # clustered (one stage)
julia> srs = SurveyDesign(apisrs; weights=:pw) # simple random sample
+julia> dstrat = SurveyDesign(apistrat; strata=:stype, weights=:pw) # stratified
+julia> clus1 = SurveyDesign(apiclus1; clusters=:dnum, weights=:pw) # clustered (one stage)

Creating a replicate design

> bsrs = as.svrepdesign(srs, type="subbootstrap")
julia> bsrs = bootweights(srs)

Computing the estimated mean

> svymean(~api00, bsrs)
+> svymean(~api99+~api00, bsrs)
julia> mean(:api00, bsrs)
+julia> mean([:api99, :api00], bsrs)

Computing the estimated total

> svytotal(~api00, bsrs)
+> svytotal(~api99+~api00, bsrs)
julia> total(:api00, bsrs)
+julia> total([:api99, :api00], bsrs)

Computing quantiles

> svyquantile(~api00, bsrs, 0.5)
+> svyquantile(~api00, bsrs, c(0.25, 0.5, 0.75))
julia> quantile(:api00, bsrs, 0.5)
+julia> quantile(:api00, bsrs, [0.25, 0.5, 0.75])

Domain estimation

> svyby(~api00, ~cname, bsrs, svymean)
julia> mean(:api00, :cname, bsrs)
diff --git a/previews/PR316/man/dataframes/index.html b/previews/PR316/man/dataframes/index.html new file mode 100644 index 00000000..667ba0da --- /dev/null +++ b/previews/PR316/man/dataframes/index.html @@ -0,0 +1,102 @@ + +DataFrames in Survey · Survey.jl

DataFrames in Survey

The internal structure of a survey design is build upon DataFrames. In fact, the data argument is the only required argument for the constructor, and it must be an AbstractDataFrame.

Data manipulation

The provided DataFrame is altered by the SurveyDesign constructor in order to add columns for frequency and probability weights, sample and population sizes and, if necessary, strata and cluster information.

Notice the change in apisrs:

julia> apisrs = load_data("apisrs")200×40 DataFrame
+ Row │ Column1  cds             stype    name             sname                ⋯
+     │ Int64    Int64           String1  String15         String               ⋯
+─────┼──────────────────────────────────────────────────────────────────────────
+   1 │    1039  15739081534155  H        McFarland High   McFarland High       ⋯
+   2 │    1124  19642126066716  E        Stowers (Cecil   Stowers (Cecil B.) E
+   3 │    2868  30664493030640  H        Brea-Olinda Hig  Brea-Olinda High
+   4 │    1273  19644516012744  E        Alameda Element  Alameda Elementary
+   5 │    4926  40688096043293  E        Sunnyside Eleme  Sunnyside Elementary ⋯
+   6 │    2463  19734456014278  E        Los Molinos Ele  Los Molinos Elementa
+   7 │    2031  19647336058200  M        Northridge Midd  Northridge Middle
+   8 │    1736  19647336017271  E        Glassell Park E  Glassell Park Elemen
+  ⋮  │    ⋮           ⋮            ⋮            ⋮                       ⋮      ⋱
+ 194 │    4880  39686766042782  E        Tyler Skills El  Tyler Skills Element ⋯
+ 195 │     993  15636851531987  H        Desert Junior/S  Desert Junior/Senior
+ 196 │     969  15635291534775  H        North High       North High
+ 197 │    1752  19647336017446  E        Hammel Street E  Hammel Street Elemen
+ 198 │    4480  37683386039143  E        Audubon Element  Audubon Elementary   ⋯
+ 199 │    4062  36678196036222  E        Edison Elementa  Edison Elementary
+ 200 │    2683  24657716025621  E        Franklin Elemen  Franklin Elementary
+                                                 36 columns and 185 rows omitted
julia> names(apisrs)40-element Vector{String}:
+ "Column1"
+ "cds"
+ "stype"
+ "name"
+ "sname"
+ "snum"
+ "dname"
+ "dnum"
+ "cname"
+ "cnum"
+ ⋮
+ "col.grad"
+ "grad.sch"
+ "avg.ed"
+ "full"
+ "emer"
+ "enroll"
+ "api.stu"
+ "pw"
+ "fpc"
julia> srs = SurveyDesign(apisrs; weights=:pw);
julia> apisrs200×45 DataFrame
+ Row │ Column1  cds             stype    name             sname                ⋯
+     │ Int64    Int64           String1  String15         String               ⋯
+─────┼──────────────────────────────────────────────────────────────────────────
+   1 │    1039  15739081534155  H        McFarland High   McFarland High       ⋯
+   2 │    1124  19642126066716  E        Stowers (Cecil   Stowers (Cecil B.) E
+   3 │    2868  30664493030640  H        Brea-Olinda Hig  Brea-Olinda High
+   4 │    1273  19644516012744  E        Alameda Element  Alameda Elementary
+   5 │    4926  40688096043293  E        Sunnyside Eleme  Sunnyside Elementary ⋯
+   6 │    2463  19734456014278  E        Los Molinos Ele  Los Molinos Elementa
+   7 │    2031  19647336058200  M        Northridge Midd  Northridge Middle
+   8 │    1736  19647336017271  E        Glassell Park E  Glassell Park Elemen
+  ⋮  │    ⋮           ⋮            ⋮            ⋮                       ⋮      ⋱
+ 194 │    4880  39686766042782  E        Tyler Skills El  Tyler Skills Element ⋯
+ 195 │     993  15636851531987  H        Desert Junior/S  Desert Junior/Senior
+ 196 │     969  15635291534775  H        North High       North High
+ 197 │    1752  19647336017446  E        Hammel Street E  Hammel Street Elemen
+ 198 │    4480  37683386039143  E        Audubon Element  Audubon Elementary   ⋯
+ 199 │    4062  36678196036222  E        Edison Elementa  Edison Elementary
+ 200 │    2683  24657716025621  E        Franklin Elemen  Franklin Elementary
+                                                 41 columns and 185 rows omitted
julia> names(apisrs)45-element Vector{String}:
+ "Column1"
+ "cds"
+ "stype"
+ "name"
+ "sname"
+ "snum"
+ "dname"
+ "dnum"
+ "cname"
+ "cnum"
+ ⋮
+ "enroll"
+ "api.stu"
+ "pw"
+ "fpc"
+ "false_strata"
+ "false_cluster"
+ "_sampsize"
+ "_popsize"
+ "_allprobs"

Five columns were added:

  • false_strata - only in the case of no stratification

    This column is necessary because when making a ReplicateDesign, the bootweights function uses groupby with a column representing the stratification variable. If there are no strata, there is no such column, so it should be added in order to keep bootweights general.

  • false_cluster - only in the case of no clustering

    The reasoning is the same as in the case of no stratification.

  • _sampsize - sample sizes

  • _popsize - population sizes

    These match the stratification variable:

julia> apistrat = load_data("apistrat");
julia> dstrat = SurveyDesign(apistrat; strata=:stype, weights=:pw);
julia> apistrat[:, [:stype, :_sampsize, :_popsize]]200×3 DataFrame
+ Row │ stype    _sampsize  _popsize 
+     │ String1  Int64      Float64  
+─────┼──────────────────────────────
+   1 │ E              100    4421.0
+   2 │ E              100    4421.0
+   3 │ E              100    4421.0
+   4 │ E              100    4421.0
+   5 │ E              100    4421.0
+   6 │ E              100    4421.0
+   7 │ E              100    4421.0
+   8 │ E              100    4421.0
+  ⋮  │    ⋮         ⋮         ⋮
+ 194 │ E              100    4421.0
+ 195 │ E              100    4421.0
+ 196 │ E              100    4421.0
+ 197 │ H               50     755.0
+ 198 │ M               50    1018.0
+ 199 │ E              100    4421.0
+ 200 │ H               50     755.0
+                    185 rows omitted
  • _allprobs - probability weights

No column was added for frequency weights because the column passed through the weights argument is used by other functions, hence there is no need to add a new column. If weights is not specified, then a column called _weights is added.

diff --git a/previews/PR316/man/glm/index.html b/previews/PR316/man/glm/index.html new file mode 100644 index 00000000..26a250fd --- /dev/null +++ b/previews/PR316/man/glm/index.html @@ -0,0 +1,47 @@ + +Generalised linear models · Survey.jl

Generalized Linear Models in Survey

The glm() function in the Julia Survey package is used to fit generalized linear models (GLMs) to survey data. It incorporates survey design information, such as sampling weights, stratification, and clustering, to produce valid estimates and standard errors that account for the type of survey design.

As of June 2023, the GLM.jl documentation lists the supported distribution families and their link functions as:

Bernoulli (LogitLink)
+Binomial (LogitLink)
+Gamma (InverseLink)
+InverseGaussian (InverseSquareLink)
+NegativeBinomial (NegativeBinomialLink, often used with LogLink)
+Normal (IdentityLink)
+Poisson (LogLink)

Refer to the GLM.jl documentation for more information about the GLM package.

Fitting a GLM to a Survey Design object

You can fit a GLM to a Survey Design object the same way you would fit it to a regular data frame. The only difference is that you need to specify the survey design object as the second argument to the glm() function.

using Survey
+apisrs = load_data("apisrs") 
+
+# Simple random sample survey
+srs = SurveyDesign(apisrs, weights = :pw) 
+
+# Survey stratified by stype
+dstrat = SurveyDesign(apistrat, strata = :stype, weights = :pw) 
+
+# Survey clustered by dnum
+dclus1 = SurveyDesign(apiclus1, clusters = :dnum, weights = :pw)

Once you have the survey design object, you can fit a GLM using the glm() function. Specify the formula for the model and the distribution family.

The glm() function supports all distribution families supported by GLM.jl, i.e. Bernoulli, Binomial, Gamma, Geometric, InverseGaussian, NegativeBinomial, Normal, and Poisson.

For example, to fit a GLM with a Bernoulli distribution and a Logit link function to the srs survey design object we created above:

formula = @formula(api00 ~ api99)
+my_glm = glm(formula, srs, family = Normal())
+
+# View the coefficients and standard errors
+my_glm.Coefficients
+my_glm.SE

Examples

The examples below use the api datasets, which contain survey data collected about California schools. The datasets are included in the Survey.jl package and can be loaded by calling load_data("name_of_dataset").

A school being eligible for the awards program (awards) is a binary outcome (0 or 1). Let's assume it follows a Bernoulli distribution. Suppose we want to predict awards based on the percentage of students eligible for subsidized meals (meals) and the percentage of English Language Learners (ell). We can fit this GLM using the code below:

using Survey
+apisrs = load_data("apisrs")
+srs = SurveyDesign(apisrs, weights = :pw) 
+
+# Convert yes/no to 1/0
+apisrs.awards = ifelse.(apisrs.awards .== "Yes", 1, 0)
+
+# Fit the model
+model = glm(@formula(awards ~ meals + ell), apisrs, Bernoulli(), LogitLink())

Let us assume that the number of students tested (api_stu) follows a Poisson distribution, which models the number of successes out of a fixed number of trials. Suppose we want to predict the number of students tested based on the percentage of students eligible for subsidized meals (meals) and the percentage of English Language Learners (ell). We can fit this GLM using the code below:

using Survey
+apisrs = load_data("apisrs")
+srs = SurveyDesign(apisrs, weights = :pw) 
+
+# Rename api.stu to api_stu
+rename!(apisrs, Symbol("api.stu") => :api_stu)
+
+# Fit the model
+model = glm(@formula(api_stu ~ meals + ell), apisrs, Poisson(), LogLink())

Let us assume that the average parental education level (avg_ed) follows a Gamma distribution, which is suitable for modeling continuous, positive-valued variables with a skewed distribution. Suppose we want to predict the average parental education level based on the percentage of students eligible for subsidized meals (meals) and the percentage of English Language Learners (ell). We can fit this GLM using the code below:

using Survey
+apisrs = load_data("apisrs")
+srs = SurveyDesign(apisrs, weights = :pw) 
+
+# Rename api.stu to api_stu
+rename!(apisrs, Symbol("avg.ed") => :avg_ed)
+
+# Fit the model
+model = glm(@formula(avg_ed  ~ meals + ell), apisrs, Gamma(), InverseLink())
diff --git a/previews/PR316/man/plotting/index.html b/previews/PR316/man/plotting/index.html new file mode 100644 index 00000000..ae77bb70 --- /dev/null +++ b/previews/PR316/man/plotting/index.html @@ -0,0 +1,2 @@ + +Plotting · Survey.jl

Plotting

Survey uses AlgebraOfGraphics for plotting. All plotting functions support a variable number of keyword arguments (through kwargs...) that are passed internally to corresponding AlgebraOfGraphics functions. See the source code for details: plot, hist, boxplot. This means that all functionality provided by AlgebraOfGraphics is supported in Survey.

Specific functionality might need to be imported from AlgebraOfGraphics. Moreover, in order to choose the preferred Makie backend you must explicitly use it:

using AlgebraOfGraphics, CairoMakie
diff --git a/previews/PR316/man/replicate/index.html b/previews/PR316/man/replicate/index.html new file mode 100644 index 00000000..a5cab626 --- /dev/null +++ b/previews/PR316/man/replicate/index.html @@ -0,0 +1,100 @@ + +Replicate weights · Survey.jl

Replicate weights

Replicate weights are a method for estimating the standard errors of survey statistics in complex sample designs.

The basic idea behind replicate weights is to create multiple versions of the original sample weights, each with small, randomly generated perturbations. The multiple versions of the sample weights are then used to calculate the survey statistic of interest, such as the mean or total, on multiple replicate samples. The variance of the survey statistic is then estimated by computing the variance across the replicate samples.

Currently, the Rao-Wu bootstrap[1] and the Jackknife [2] are the only methods in the package for generating replicate weights. In the future, the package will support additional types of inference methods, which will be passed when creating a ReplicateDesign object.

The bootweights function of the package can be used to generate a ReplicateDesign using the Rao-Wu bootstrap method from a SurveyDesign. For example: 

julia> using Survey
julia> apistrat = load_data("apistrat")200×40 DataFrame
+ Row │ Column1  cds             stype    name             sname                ⋯
+     │ Int64    Int64           String1  String15         String               ⋯
+─────┼──────────────────────────────────────────────────────────────────────────
+   1 │       1  19647336097927  E        Open Magnet: Ce  Open Magnet: Center  ⋯
+   2 │       2  19647336016018  E        Belvedere Eleme  Belvedere Elementary
+   3 │       3  19648816021505  E        Altadena Elemen  Altadena Elementary
+   4 │       4  19647336019285  E        Soto Street Ele  Soto Street Elementa
+   5 │       5  56739406115430  E        Walnut Canyon E  Walnut Canyon Elemen ⋯
+   6 │       6  56726036084917  E        Atherwood Eleme  Atherwood Elementary
+   7 │       7  56726036055800  E        Township Elemen  Township Elementary
+   8 │       8  15633216109078  E        Thorner (Dr. Ju  Thorner (Dr. Juliet)
+  ⋮  │    ⋮           ⋮            ⋮            ⋮                         ⋮    ⋱
+ 194 │     194  19650526022933  E        Emperor Element  Emperor Elementary   ⋯
+ 195 │     195   1612426001572  E        Alvarado Elemen  Alvarado Elementary
+ 196 │     196  19647336018568  E        One Hundred Twe  One Hundred Twelfth
+ 197 │     197  33670333331600  H        Corona Senior H  Corona Senior High
+ 198 │     198   4755076003164  M        Sycamore Middle  Sycamore Middle      ⋯
+ 199 │     199  56724626055016  E        Larsen (Ansgar)  Larsen (Ansgar) Elem
+ 200 │     200  31669513134657  H        Lincoln High (C  Lincoln High (Char)
+                                                 36 columns and 185 rows omitted
julia> dstrat = SurveyDesign(apistrat; strata=:stype, weights=:pw)SurveyDesign:
+data: 200×44 DataFrame
+strata: stype
+    [E, E, E  …  H]
+cluster: none
+popsize: [4420.9999, 4420.9999, 4420.9999  …  755.0]
+sampsize: [100, 100, 100  …  50]
+weights: [44.21, 44.21, 44.21  …  15.1]
+allprobs: [0.0226, 0.0226, 0.0226  …  0.0662]
julia> bstrat = bootweights(dstrat; replicates = 10)ReplicateDesign{BootstrapReplicates}:
+data: 200×54 DataFrame
+strata: stype
+    [E, E, E  …  H]
+cluster: none
+popsize: [4420.9999, 4420.9999, 4420.9999  …  755.0]
+sampsize: [100, 100, 100  …  50]
+weights: [44.21, 44.21, 44.21  …  15.1]
+allprobs: [0.0226, 0.0226, 0.0226  …  0.0662]
+type: bootstrap
+replicates: 10

The jackknifeweights function of the package can be used to generate a ReplicateDesign using the Jackknife method from a SurveyDesign. For example: 

julia> using Survey
julia> apistrat = load_data("apistrat")200×40 DataFrame
+ Row │ Column1  cds             stype    name             sname                ⋯
+     │ Int64    Int64           String1  String15         String               ⋯
+─────┼──────────────────────────────────────────────────────────────────────────
+   1 │       1  19647336097927  E        Open Magnet: Ce  Open Magnet: Center  ⋯
+   2 │       2  19647336016018  E        Belvedere Eleme  Belvedere Elementary
+   3 │       3  19648816021505  E        Altadena Elemen  Altadena Elementary
+   4 │       4  19647336019285  E        Soto Street Ele  Soto Street Elementa
+   5 │       5  56739406115430  E        Walnut Canyon E  Walnut Canyon Elemen ⋯
+   6 │       6  56726036084917  E        Atherwood Eleme  Atherwood Elementary
+   7 │       7  56726036055800  E        Township Elemen  Township Elementary
+   8 │       8  15633216109078  E        Thorner (Dr. Ju  Thorner (Dr. Juliet)
+  ⋮  │    ⋮           ⋮            ⋮            ⋮                         ⋮    ⋱
+ 194 │     194  19650526022933  E        Emperor Element  Emperor Elementary   ⋯
+ 195 │     195   1612426001572  E        Alvarado Elemen  Alvarado Elementary
+ 196 │     196  19647336018568  E        One Hundred Twe  One Hundred Twelfth
+ 197 │     197  33670333331600  H        Corona Senior H  Corona Senior High
+ 198 │     198   4755076003164  M        Sycamore Middle  Sycamore Middle      ⋯
+ 199 │     199  56724626055016  E        Larsen (Ansgar)  Larsen (Ansgar) Elem
+ 200 │     200  31669513134657  H        Lincoln High (C  Lincoln High (Char)
+                                                 36 columns and 185 rows omitted
julia> dstrat = SurveyDesign(apistrat; strata=:stype, weights=:pw)SurveyDesign:
+data: 200×44 DataFrame
+strata: stype
+    [E, E, E  …  H]
+cluster: none
+popsize: [4420.9999, 4420.9999, 4420.9999  …  755.0]
+sampsize: [100, 100, 100  …  50]
+weights: [44.21, 44.21, 44.21  …  15.1]
+allprobs: [0.0226, 0.0226, 0.0226  …  0.0662]
julia> bstrat = jackknifeweights(dstrat; replicates = 10)ERROR: MethodError: no method matching jackknifeweights(::SurveyDesign; replicates::Int64)
+
+Closest candidates are:
+  jackknifeweights(::SurveyDesign) got unsupported keyword argument "replicates"
+   @ Survey ~/work/Survey.jl/Survey.jl/src/jackknife.jl:42

For each replicate, the DataFrame of ReplicateDesign has an additional column. The name of the column is replicate_ followed by the replicate number. 

julia> names(bstrat.data)54-element Vector{String}:
+ "Column1"
+ "cds"
+ "stype"
+ "name"
+ "sname"
+ "snum"
+ "dname"
+ "dnum"
+ "cname"
+ "cnum"
+ ⋮
+ "replicate_2"
+ "replicate_3"
+ "replicate_4"
+ "replicate_5"
+ "replicate_6"
+ "replicate_7"
+ "replicate_8"
+ "replicate_9"
+ "replicate_10"

replicate_1, replicate_2, replicate_3, replicate_4, replicate_5, replicate_6, replicate_7, replicate_8, replicate_9, replicate_10, are the replicate weight columns.

While a SurveyDesign can be used to estimate a statistics. For example: 

julia> mean(:api00, dstrat)1×1 DataFrame
+ Row │ mean    
+     │ Float64 
+─────┼─────────
+   1 │ 662.287

The ReplicateDesign can be used to compute the standard error of the statistic. For example: 

julia> mean(:api00, bstrat)1×2 DataFrame
+ Row │ mean     SE      
+     │ Float64  Float64 
+─────┼──────────────────
+   1 │ 662.287  11.2546

For each replicate weight, the statistic is calculated using it instead of the weight. The standard deviation of those statistics is the standard error of the estimate.

References

diff --git a/previews/PR316/search_index.js b/previews/PR316/search_index.js new file mode 100644 index 00000000..6a6c1f13 --- /dev/null +++ b/previews/PR316/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"man/plotting/#Plotting","page":"Plotting","title":"Plotting","text":"","category":"section"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"Survey uses AlgebraOfGraphics for plotting. All plotting functions support a variable number of keyword arguments (through kwargs...) that are passed internally to corresponding AlgebraOfGraphics functions. See the source code for details: plot, hist, boxplot. This means that all functionality provided by AlgebraOfGraphics is supported in Survey.","category":"page"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"Specific functionality might need to be imported from AlgebraOfGraphics. Moreover, in order to choose the preferred Makie backend you must explicitly use it:","category":"page"},{"location":"man/plotting/","page":"Plotting","title":"Plotting","text":"using AlgebraOfGraphics, CairoMakie","category":"page"},{"location":"man/replicate/#Replicate-weights","page":"Replicate weights","title":"Replicate weights","text":"","category":"section"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"Replicate weights are a method for estimating the standard errors of survey statistics in complex sample designs.","category":"page"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"The basic idea behind replicate weights is to create multiple versions of the original sample weights, each with small, randomly generated perturbations. The multiple versions of the sample weights are then used to calculate the survey statistic of interest, such as the mean or total, on multiple replicate samples. The variance of the survey statistic is then estimated by computing the variance across the replicate samples.","category":"page"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"Currently, the Rao-Wu bootstrap[1] and the Jackknife [2] are the only methods in the package for generating replicate weights. In the future, the package will support additional types of inference methods, which will be passed when creating a ReplicateDesign object.","category":"page"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"The bootweights function of the package can be used to generate a ReplicateDesign using the Rao-Wu bootstrap method from a SurveyDesign. For example: ","category":"page"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"using Survey\napistrat = load_data(\"apistrat\")\ndstrat = SurveyDesign(apistrat; strata=:stype, weights=:pw)\nbstrat = bootweights(dstrat; replicates = 10)","category":"page"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"The jackknifeweights function of the package can be used to generate a ReplicateDesign using the Jackknife method from a SurveyDesign. For example: ","category":"page"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"using Survey\napistrat = load_data(\"apistrat\")\ndstrat = SurveyDesign(apistrat; strata=:stype, weights=:pw)\nbstrat = jackknifeweights(dstrat; replicates = 10)","category":"page"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"For each replicate, the DataFrame of ReplicateDesign has an additional column. The name of the column is replicate_ followed by the replicate number. ","category":"page"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"names(bstrat.data)","category":"page"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"replicate_1, replicate_2, replicate_3, replicate_4, replicate_5, replicate_6, replicate_7, replicate_8, replicate_9, replicate_10, are the replicate weight columns. ","category":"page"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"While a SurveyDesign can be used to estimate a statistics. For example: ","category":"page"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"mean(:api00, dstrat)","category":"page"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"The ReplicateDesign can be used to compute the standard error of the statistic. For example: ","category":"page"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"mean(:api00, bstrat)","category":"page"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"For each replicate weight, the statistic is calculated using it instead of the weight. The standard deviation of those statistics is the standard error of the estimate. ","category":"page"},{"location":"man/replicate/#References","page":"Replicate weights","title":"References","text":"","category":"section"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"[1]: Rust, Keith F., and J. N. K. Rao. \"Variance estimation for complex surveys using replication techniques.\" Statistical methods in medical research 5.3 (1996): 283-310.","category":"page"},{"location":"man/replicate/","page":"Replicate weights","title":"Replicate weights","text":"[2]: Miller, Rupert G. “The Jackknife–A Review.” Biometrika 61, no. 1 (1974): 1–15. https://doi.org/10.2307/2334280.","category":"page"},{"location":"api/#API","page":"API reference","title":"API","text":"","category":"section"},{"location":"api/#Index","page":"API reference","title":"Index","text":"","category":"section"},{"location":"api/","page":"API reference","title":"API reference","text":"Module = [Survey]\nOrder = [:type, :function]\nPrivate = false","category":"page"},{"location":"api/","page":"API reference","title":"API reference","text":"AbstractSurveyDesign\nSurveyDesign\nReplicateDesign\nBootstrapReplicates\nJackknifeReplicates\nload_data\nbootweights\njackknifeweights\nSurvey.standarderror\nmean\ntotal\nquantile\nratio\nglm\nplot\nboxplot\nhist\nSurvey.sturges\nSurvey.freedman_diaconis","category":"page"},{"location":"api/#Survey.AbstractSurveyDesign","page":"API reference","title":"Survey.AbstractSurveyDesign","text":"AbstractSurveyDesign\n\nSupertype for every survey design type. \n\nnote: Note\nThe data passed to a survey constructor is modified. To avoid this pass a copy of the data instead of the original.\n\n\n\n\n\n","category":"type"},{"location":"api/#Survey.SurveyDesign","page":"API reference","title":"Survey.SurveyDesign","text":"SurveyDesign <: AbstractSurveyDesign\n\nGeneral survey design encompassing a simple random, stratified, cluster or multi-stage design.\n\nIn the case of cluster sample, the clusters are chosen by simple random sampling. All individuals in one cluster are sampled. The clusters are considered disjoint and nested.\n\nstrata and clusters must be given as columns in data.\n\nArguments:\n\ndata::AbstractDataFrame: the survey dataset (!this gets modified by the constructor).\nstrata::Union{Nothing, Symbol}=nothing: the stratification variable.\nclusters::Union{Nothing, Symbol, Vector{Symbol}}=nothing: the clustering variable.\nweights::Union{Nothing, Symbol}=nothing: the sampling weights.\npopsize::Union{Nothing, Symbol}=nothing: the (expected) survey population size.\n\njulia> apiclus1 = load_data(\"apiclus1\");\n\njulia> dclus1 = SurveyDesign(apiclus1; clusters=:dnum, weights=:pw)\nSurveyDesign:\ndata: 183×44 DataFrame\nstrata: none\ncluster: dnum\n [637, 637, 637 … 448]\npopsize: [507.7049, 507.7049, 507.7049 … 507.7049]\nsampsize: [15, 15, 15 … 15]\nweights: [33.847, 33.847, 33.847 … 33.847]\nallprobs: [0.0295, 0.0295, 0.0295 … 0.0295]\n\n\n\n\n\n","category":"type"},{"location":"api/#Survey.ReplicateDesign","page":"API reference","title":"Survey.ReplicateDesign","text":"ReplicateDesign <: AbstractSurveyDesign\n\nSurvey design obtained by replicating an original design using an inference method like bootweights or jackknifeweights. If replicate weights are available, then they can be used to directly create a ReplicateDesign object.\n\nConstructors\n\nReplicateDesign{ReplicateType}(\n data::AbstractDataFrame,\n replicate_weights::Vector{Symbol};\n clusters::Union{Nothing,Symbol,Vector{Symbol}} = nothing,\n strata::Union{Nothing,Symbol} = nothing,\n popsize::Union{Nothing,Symbol} = nothing,\n weights::Union{Nothing,Symbol} = nothing\n) where {ReplicateType <: InferenceMethod}\n\nReplicateDesign{ReplicateType}(\n data::AbstractDataFrame,\n replicate_weights::UnitIndex{Int};\n clusters::Union{Nothing,Symbol,Vector{Symbol}} = nothing,\n strata::Union{Nothing,Symbol} = nothing,\n popsize::Union{Nothing,Symbol} = nothing,\n weights::Union{Nothing,Symbol} = nothing\n) where {ReplicateType <: InferenceMethod}\n\nReplicateDesign{ReplicateType}(\n data::AbstractDataFrame,\n replicate_weights::Regex;\n clusters::Union{Nothing,Symbol,Vector{Symbol}} = nothing,\n strata::Union{Nothing,Symbol} = nothing,\n popsize::Union{Nothing,Symbol} = nothing,\n weights::Union{Nothing,Symbol} = nothing\n) where {ReplicateType <: InferenceMethod}\n\nArguments\n\nReplicateType must be one of the supported inference types; currently the package supports BootstrapReplicates and JackknifeReplicates. The constructor has the same arguments as SurveyDesign. The only additional argument is replicate_weights, which can be of one of the following types.\n\nVector{Symbol}: In this case, each Symbol in the vector should represent a column of data containing the replicate weights.\nUnitIndex{Int}: For instance, this could be UnitRange(5:10). This will mean that the replicate weights are contained in columns 5 through 10.\nRegex: In this case, all the columns of data which match this Regex will be treated as the columns containing the replicate weights.\n\nAll the columns containing the replicate weights will be renamed to the form replicate_i, where i ranges from 1 to the number of columns containing the replicate weights.\n\nExamples\n\nHere is an example where the bootweights function is used to create a ReplicateDesign{BootstrapReplicates}.\n\njulia> apistrat = load_data(\"apistrat\");\n\njulia> dstrat = SurveyDesign(apistrat; strata=:stype, weights=:pw);\n\njulia> bootstrat = bootweights(dstrat; replicates=1000) # creating a ReplicateDesign using bootweights\nReplicateDesign{BootstrapReplicates}:\ndata: 200×1044 DataFrame\nstrata: stype\n [E, E, E … H]\ncluster: none\npopsize: [4420.9999, 4420.9999, 4420.9999 … 755.0]\nsampsize: [100, 100, 100 … 50]\nweights: [44.21, 44.21, 44.21 … 15.1]\nallprobs: [0.0226, 0.0226, 0.0226 … 0.0662]\ntype: bootstrap\nreplicates: 1000\n\n\nIf the replicate weights are given to us already, then we can directly pass them to the ReplicateDesign constructor. For instance, in the above example, suppose we had the bootstrat data as a CSV file (for this example, we also rename the columns containing the replicate weights to the form r_i).\n\njulia> using CSV;\n\njulia> DataFrames.rename!(bootstrat.data, [\"replicate_\"*string(index) => \"r_\"*string(index) for index in 1:1000]);\n\njulia> CSV.write(\"apistrat_withreplicates.csv\", bootstrat.data);\n\n\nWe can now pass the replicate weights directly to the ReplicateDesign constructor, either as a Vector{Symbol}, a UnitRange or a Regex.\n\njulia> bootstrat_direct = ReplicateDesign{BootstrapReplicates}(CSV.read(\"apistrat_withreplicates.csv\", DataFrame), [Symbol(\"r_\"*string(replicate)) for replicate in 1:1000]; strata=:stype, weights=:pw)\nReplicateDesign{BootstrapReplicates}:\ndata: 200×1044 DataFrame\nstrata: stype\n [E, E, E … H]\ncluster: none\npopsize: [4420.9999, 4420.9999, 4420.9999 … 755.0]\nsampsize: [100, 100, 100 … 50]\nweights: [44.21, 44.21, 44.21 … 15.1]\nallprobs: [0.0226, 0.0226, 0.0226 … 0.0662]\ntype: bootstrap\nreplicates: 1000\n\njulia> bootstrat_unitrange = ReplicateDesign{BootstrapReplicates}(CSV.read(\"apistrat_withreplicates.csv\", DataFrame), UnitRange(45:1044);strata=:stype, weights=:pw)\nReplicateDesign{BootstrapReplicates}:\ndata: 200×1044 DataFrame\nstrata: stype\n [E, E, E … H]\ncluster: none\npopsize: [4420.9999, 4420.9999, 4420.9999 … 755.0]\nsampsize: [100, 100, 100 … 50]\nweights: [44.21, 44.21, 44.21 … 15.1]\nallprobs: [0.0226, 0.0226, 0.0226 … 0.0662]\ntype: bootstrap\nreplicates: 1000\n\njulia> bootstrat_regex = ReplicateDesign{BootstrapReplicates}(CSV.read(\"apistrat_withreplicates.csv\", DataFrame), r\"r_\\d\";strata=:stype, weights=:pw)\nReplicateDesign{BootstrapReplicates}:\ndata: 200×1044 DataFrame\nstrata: stype\n [E, E, E … H]\ncluster: none\npopsize: [4420.9999, 4420.9999, 4420.9999 … 755.0]\nsampsize: [100, 100, 100 … 50]\nweights: [44.21, 44.21, 44.21 … 15.1]\nallprobs: [0.0226, 0.0226, 0.0226 … 0.0662]\ntype: bootstrap\nreplicates: 1000\n\n\n\n\n\n\n","category":"type"},{"location":"api/#Survey.BootstrapReplicates","page":"API reference","title":"Survey.BootstrapReplicates","text":"BootstrapReplicates <: InferenceMethod\n\nType for the bootstrap replicates method. For more details, see bootweights.\n\n\n\n\n\n","category":"type"},{"location":"api/#Survey.JackknifeReplicates","page":"API reference","title":"Survey.JackknifeReplicates","text":"JackknifeReplicates <: InferenceMethod\n\nType for the Jackknife replicates method. For more details, see jackknifeweights.\n\n\n\n\n\n","category":"type"},{"location":"api/#Survey.load_data","page":"API reference","title":"Survey.load_data","text":"load_data(name)\n\nLoad a sample dataset as a DataFrame.\n\nAll available datasets can be found here.\n\njulia> apisrs = load_data(\"apisrs\")\n200×40 DataFrame\n Row │ Column1 cds stype name sname ⋯\n │ Int64 Int64 String1 String15 String ⋯\n─────┼──────────────────────────────────────────────────────────────────────────\n 1 │ 1039 15739081534155 H McFarland High McFarland High ⋯\n 2 │ 1124 19642126066716 E Stowers (Cecil Stowers (Cecil B.) E\n 3 │ 2868 30664493030640 H Brea-Olinda Hig Brea-Olinda High\n 4 │ 1273 19644516012744 E Alameda Element Alameda Elementary\n 5 │ 4926 40688096043293 E Sunnyside Eleme Sunnyside Elementary ⋯\n 6 │ 2463 19734456014278 E Los Molinos Ele Los Molinos Elementa\n 7 │ 2031 19647336058200 M Northridge Midd Northridge Middle\n 8 │ 1736 19647336017271 E Glassell Park E Glassell Park Elemen\n ⋮ │ ⋮ ⋮ ⋮ ⋮ ⋮ ⋱\n 194 │ 4880 39686766042782 E Tyler Skills El Tyler Skills Element ⋯\n 195 │ 993 15636851531987 H Desert Junior/S Desert Junior/Senior\n 196 │ 969 15635291534775 H North High North High\n 197 │ 1752 19647336017446 E Hammel Street E Hammel Street Elemen\n 198 │ 4480 37683386039143 E Audubon Element Audubon Elementary ⋯\n 199 │ 4062 36678196036222 E Edison Elementa Edison Elementary\n 200 │ 2683 24657716025621 E Franklin Elemen Franklin Elementary\n 36 columns and 185 rows omitted\n\n\n\n\n\n","category":"function"},{"location":"api/#Survey.bootweights","page":"API reference","title":"Survey.bootweights","text":"Use bootweights to create replicate weights using Rao-Wu bootstrap. The function accepts a SurveyDesign and returns a ReplicateDesign{BootstrapReplicates} which has additional columns for replicate weights. \n\nThe replicate weight for replicate r is computed using the formula w_i(r) = w_i times fracn_hn_h - 1 m_hj(r) for observation i in psu j of stratum h. \n\nIn the formula above, w_i is the original weight for observation i, n_h is the number of psus in stratum h, and m_hj(r) is the number of psus in stratum h that are selected in replicate r.\n\njulia> using Random\n\njulia> apiclus1 = load_data(\"apiclus1\");\n\njulia> dclus1 = SurveyDesign(apiclus1; clusters = :dnum, popsize=:fpc);\n\njulia> bootweights(dclus1; replicates=1000, rng=MersenneTwister(111)) # choose a seed for deterministic results\nReplicateDesign{BootstrapReplicates}:\ndata: 183×1044 DataFrame\nstrata: none\ncluster: dnum\n [61, 61, 61 … 815]\npopsize: [757, 757, 757 … 757]\nsampsize: [15, 15, 15 … 15]\nweights: [50.4667, 50.4667, 50.4667 … 50.4667]\nallprobs: [0.0198, 0.0198, 0.0198 … 0.0198]\ntype: bootstrap\nreplicates: 1000\n\n\nReference\n\npg 385, Section 9.3.3 Bootstrap - Sharon Lohr, Sampling Design and Analysis (2010)\n\n\n\n\n\n","category":"function"},{"location":"api/#Survey.jackknifeweights","page":"API reference","title":"Survey.jackknifeweights","text":"jackknifeweights(design::SurveyDesign)\n\nDelete-1 Jackknife algorithm for replication weights from sampling weights. The replicate weights are calculated using the following formula.\n\nw_i(hj) =\nbegincases\n w_iquadquad textif observation unit itext is not in stratum h\n 0quadquad textif observation unit itext is in psu jtextof stratum h\n dfracn_hn_h - 1w_i quadquad textif observation unit itext is in stratum htext but not in psu j\nendcases\n\nIn the above formula, w_i represent the original weights, w_i(hj) represent the replicate weights when the jth PSU from cluster h is removed, and n_h represents the number of unique PSUs within cluster h. Replicate weights are added as columns to design.data, and these columns have names of the form replicate_i, where i ranges from 1 to the number of replicate weight columns.\n\nExamples\n\njulia> using Survey;\n\njulia> apistrat = load_data(\"apistrat\");\n\njulia> dstrat = SurveyDesign(apistrat; strata=:stype, weights=:pw);\n\njulia> rstrat = jackknifeweights(dstrat)\nReplicateDesign{JackknifeReplicates}:\ndata: 200×244 DataFrame\nstrata: stype\n [E, E, E … M]\ncluster: none\npopsize: [4420.9999, 4420.9999, 4420.9999 … 1018.0]\nsampsize: [100, 100, 100 … 50]\nweights: [44.21, 44.21, 44.21 … 20.36]\nallprobs: [0.0226, 0.0226, 0.0226 … 0.0491]\ntype: jackknife\nreplicates: 200\n\n\nReference\n\npg 380-382, Section 9.3.2 Jackknife - Sharon Lohr, Sampling Design and Analysis (2010)\n\n\n\n\n\n","category":"function"},{"location":"api/#Survey.standarderror","page":"API reference","title":"Survey.standarderror","text":"standarderror(x::Union{Symbol, Vector{Symbol}}, func::Function, design::ReplicateDesign{BootstrapReplicates}, args...; kwargs...)\n\nCompute the standard error of the estimated mean using the bootstrap method.\n\nArguments\n\nx::Union{Symbol, Vector{Symbol}}: Symbol or vector of symbols representing the variable(s) for which the mean is estimated.\nfunc::Function: Function used to calculate the mean.\ndesign::ReplicateDesign{BootstrapReplicates}: Replicate design object.\nargs...: Additional arguments to be passed to the function.\nkwargs...: Additional keyword arguments.\n\nReturns\n\ndf: DataFrame containing the estimated mean and its standard error.\n\nThe standard error is calculated using the formula\n\nhatV(hattheta) = dfrac1Rsum_i = 1^R(theta_i - hattheta)^2\n\nwhere above R is the number of replicate weights, theta_i is the estimator computed using the ith set of replicate weights, and hattheta is the estimator computed using the original weights.\n\nExamples\n\njulia> my_mean(df::DataFrame, column, weights) = StatsBase.mean(df[!, column], StatsBase.weights(df[!, weights]));\n\njulia> Survey.standarderror(:api00, my_mean, bclus1)\n1×2 DataFrame\n Row │ estimator SE\n │ Float64 Float64\n─────┼────────────────────\n 1 │ 644.169 23.4107\n\n\n\n\n\nstandarderror(x::Symbol, func::Function, design::ReplicateDesign{JackknifeReplicates})\n\nCompute standard error of column x for the given func using the Jackknife method. The formula to compute this variance is the following.\n\nhatV_textJK(hattheta) = sum_h = 1^H dfracn_h - 1n_hsum_j = 1^n_h(hattheta_(hj) - hattheta)^2\n\nAbove, hattheta represents the estimator computed using the original weights, and hattheta_(hj) represents the estimator computed from the replicate weights obtained when PSU j from cluster h is removed.\n\nExamples\n\njulia> my_mean(df::DataFrame, column, weights) = StatsBase.mean(df[!, column], StatsBase.weights(df[!, weights]));\n\njulia> Survey.standarderror(:api00, my_mean, rstrat)\n1×2 DataFrame\n Row │ estimator SE\n │ Float64 Float64\n─────┼────────────────────\n 1 │ 662.287 9.53613\n\nReference\n\npg 380-382, Section 9.3.2 Jackknife - Sharon Lohr, Sampling Design and Analysis (2010)\n\n\n\n\n\n","category":"function"},{"location":"api/#Statistics.mean","page":"API reference","title":"Statistics.mean","text":"mean(var, design)\n\nEstimate the mean of a variable.\n\njulia> apiclus1 = load_data(\"apiclus1\");\n\njulia> dclus1 = SurveyDesign(apiclus1; clusters = :dnum, weights = :pw)\nSurveyDesign:\ndata: 183×44 DataFrame\nstrata: none\ncluster: dnum\n [637, 637, 637 … 448]\npopsize: [507.7049, 507.7049, 507.7049 … 507.7049]\nsampsize: [15, 15, 15 … 15]\nweights: [33.847, 33.847, 33.847 … 33.847]\nallprobs: [0.0295, 0.0295, 0.0295 … 0.0295]\n\njulia> mean(:api00, dclus1)\n1×1 DataFrame\n Row │ mean\n │ Float64\n─────┼─────────\n 1 │ 644.169 \n\n\n\n\n\nmean(x::Symbol, design::ReplicateDesign)\n\nCompute the standard error of the estimated mean using replicate weights.\n\nArguments\n\nx::Symbol: Symbol representing the variable for which the mean is estimated.\ndesign::ReplicateDesign: Replicate design object.\n\nReturns\n\ndf: DataFrame containing the estimated mean and its standard error.\n\nExamples\n\njulia> mean(:api00, bclus1)\n1×2 DataFrame\n Row │ mean SE\n │ Float64 Float64\n─────┼──────────────────\n 1 │ 644.169 23.4107\n\n\n\n\n\nEstimate the mean of a list of variables.\n\njulia> mean([:api00, :enroll], dclus1)\n2×2 DataFrame\n Row │ names mean\n │ String Float64\n─────┼─────────────────\n 1 │ api00 644.169\n 2 │ enroll 549.716\n\nUse replicate weights to compute the standard error of the estimated means. \n\njulia> mean([:api00, :enroll], bclus1)\n2×3 DataFrame\n Row │ names mean SE\n │ String Float64 Float64\n─────┼──────────────────────────\n 1 │ api00 644.169 23.4107\n 2 │ enroll 549.716 45.7835 \n\n\n\n\n\nmean(var, domain, design)\n\nEstimate means of domains.\n\njulia> mean(:api00, :cname, dclus1)\n11×2 DataFrame\n Row │ mean cname\n │ Float64 String\n─────┼──────────────────────\n 1 │ 669.0 Alameda\n 2 │ 472.0 Fresno\n 3 │ 452.5 Kern\n 4 │ 647.267 Los Angeles\n 5 │ 623.25 Mendocino\n 6 │ 519.25 Merced\n 7 │ 710.563 Orange\n 8 │ 709.556 Plumas\n 9 │ 659.436 San Diego\n 10 │ 551.189 San Joaquin\n 11 │ 732.077 Santa Clara\n\nUse the replicate design to compute standard errors of the estimated means. \n\njulia> mean(:api00, :cname, bclus1)\n11×3 DataFrame\n Row │ mean SE cname\n │ Float64 Float64 String\n─────┼────────────────────────────────────\n 1 │ 732.077 58.2169 Santa Clara\n 2 │ 659.436 2.66703 San Diego\n 3 │ 519.25 2.28936e-15 Merced\n 4 │ 647.267 47.6233 Los Angeles\n 5 │ 710.563 2.19826e-13 Orange\n 6 │ 472.0 1.13687e-13 Fresno\n 7 │ 709.556 1.26058e-13 Plumas\n 8 │ 669.0 1.27527e-13 Alameda\n 9 │ 551.189 2.18162e-13 San Joaquin\n 10 │ 452.5 0.0 Kern\n 11 │ 623.25 1.09545e-13 Mendocino\n\n\n\n\n\n","category":"function"},{"location":"api/#Survey.total","page":"API reference","title":"Survey.total","text":"total(var, design)\n\nEstimate the population total of variable.\n\njulia> apiclus1 = load_data(\"apiclus1\");\n\njulia> dclus1 = SurveyDesign(apiclus1; clusters = :dnum, weights = :pw);\n\njulia> total(:api00, dclus1)\n1×1 DataFrame\n Row │ total\n │ Float64\n─────┼───────────\n 1 │ 3.98999e6\n\n\n\n\n\ntotal(x::Symbol, design::ReplicateDesign)\n\nCompute the standard error of the estimated total using replicate weights.\n\nArguments\n\nx::Symbol: Symbol representing the variable for which the total is estimated.\ndesign::ReplicateDesign: Replicate design object.\n\nReturns\n\ndf: DataFrame containing the estimated total and its standard error.\n\nExamples\n\njulia> total(:api00, bclus1)\n1×2 DataFrame\n Row │ total SE\n │ Float64 Float64\n─────┼──────────────────────\n 1 │ 3.98999e6 9.01611e5\n\n\n\n\n\nEstimate the population total of a list of variables.\n\njulia> total([:api00, :enroll], dclus1)\n2×2 DataFrame\n Row │ names total\n │ String Float64\n─────┼───────────────────\n 1 │ api00 3.98999e6\n 2 │ enroll 3.40494e6\n\nUse replicate weights to compute the standard error of the estimated means. \n\njulia> total([:api00, :enroll], bclus1)\n2×3 DataFrame\n Row │ names total SE\n │ String Float64 Float64\n─────┼──────────────────────────────\n 1 │ api00 3.98999e6 9.01611e5\n 2 │ enroll 3.40494e6 9.33396e5 \n\n\n\n\n\ntotal(var, domain, design)\n\nEstimate population totals of domains.\n\njulia> total(:api00, :cname, dclus1)\n11×2 DataFrame\n Row │ total cname\n │ Float64 String\n─────┼─────────────────────────────\n 1 │ 249080.0 Alameda\n 2 │ 63903.1 Fresno\n 3 │ 30631.5 Kern\n 4 │ 3.2862e5 Los Angeles\n 5 │ 84380.6 Mendocino\n 6 │ 70300.2 Merced\n 7 │ 3.84807e5 Orange\n 8 │ 2.16147e5 Plumas\n 9 │ 1.2276e6 San Diego\n 10 │ 6.90276e5 San Joaquin\n 11 │ 6.44244e5 Santa Clara\n\nUse the replicate design to compute standard errors of the estimated totals. \n\njulia> total(:api00, :cname, bclus1)\n11×3 DataFrame\n Row │ total SE cname\n │ Float64 Float64 String\n─────┼────────────────────────────────────────────\n 1 │ 6.44244e5 4.2273e5 Santa Clara\n 2 │ 1.2276e6 8.62727e5 San Diego\n 3 │ 70300.2 71336.3 Merced\n 4 │ 3.2862e5 2.93936e5 Los Angeles\n 5 │ 3.84807e5 3.88014e5 Orange\n 6 │ 63903.1 64781.7 Fresno\n 7 │ 2.16147e5 2.12089e5 Plumas\n 8 │ 249080.0 2.49228e5 Alameda\n 9 │ 6.90276e5 6.81604e5 San Joaquin\n 10 │ 30631.5 30870.3 Kern\n 11 │ 84380.6 80215.9 Mendocino\n\n\n\n\n\n","category":"function"},{"location":"api/#Statistics.quantile","page":"API reference","title":"Statistics.quantile","text":"quantile(var, design, p; kwargs...)\n\nEstimate quantile of a variable.\n\nHyndman and Fan compiled a taxonomy of nine algorithms to estimate quantiles. These are implemented in Statistics.quantile, which this function calls. Julia, R and Python-numpy use the same defaults\n\nReferences:\n\nHyndman, R.J and Fan, Y. (1996) \"Sample Quantiles in Statistical Packages\", The American Statistician, Vol. 50, No. 4, pp. 361-365.\nQuantiles on wikipedia\nComplex Surveys: a guide to analysis using R, Section 2.4.1 and Appendix C.4.\n\njulia> apisrs = load_data(\"apisrs\");\n\njulia> srs = SurveyDesign(apisrs; weights=:pw); \n\njulia> quantile(:api00, srs, 0.5)\n1×1 DataFrame\n Row │ 0.5th percentile\n │ Float64\n─────┼──────────────────\n 1 │ 659.0\n\n\n\n\n\nquantile(x::Symbol, design::ReplicateDesign, p; kwargs...)\n\nCompute the standard error of the estimated quantile using replicate weights.\n\nArguments\n\nx::Symbol: Symbol representing the variable for which the quantile is estimated.\ndesign::ReplicateDesign: Replicate design object.\np::Real: Quantile value to estimate, ranging from 0 to 1.\nkwargs...: Additional keyword arguments.\n\nReturns\n\ndf: DataFrame containing the estimated quantile and its standard error.\n\nExamples\n\njulia> quantile(:api00, bsrs, 0.5)\n1×2 DataFrame\n Row │ 0.5th percentile SE\n │ Float64 Float64\n─────┼───────────────────────────\n 1 │ 659.0 14.9764\n\n\n\n\n\nquantile(var, design, p; kwargs...)\n\nEstimate quantiles of a list of variables.\n\njulia> quantile(:enroll, srs, [0.1,0.2,0.5,0.75,0.95])\n5×2 DataFrame\n Row │ percentile statistic\n │ String Float64\n─────┼───────────────────────\n 1 │ 0.1 245.5\n 2 │ 0.2 317.6\n 3 │ 0.5 453.0\n 4 │ 0.75 668.5\n 5 │ 0.95 1473.1\n\n\n\n\n\nUse replicate weights to compute the standard errors of the estimated quantiles. \n\njulia> quantile(:enroll, bsrs, [0.1,0.2,0.5,0.75,0.95])\n5×3 DataFrame\n Row │ percentile statistic SE \n │ String Float64 Float64 \n─────┼─────────────────────────────────\n 1 │ 0.1 245.5 20.2964\n 2 │ 0.2 317.6 13.5435\n 3 │ 0.5 453.0 24.9719\n 4 │ 0.75 668.5 34.2487\n 5 │ 0.95 1473.1 142.568\n\n\n\n\n\nquantile(var, domain, design)\n\nEstimate a quantile of domains.\n\njulia> quantile(:api00, :cname, dclus1, 0.5)\n11×2 DataFrame\n Row │ 0.5th percentile cname\n │ Float64 String\n─────┼───────────────────────────────\n 1 │ 669.0 Alameda\n 2 │ 474.5 Fresno\n 3 │ 452.5 Kern\n 4 │ 628.0 Los Angeles\n 5 │ 616.5 Mendocino\n 6 │ 519.5 Merced\n 7 │ 717.5 Orange\n 8 │ 699.0 Plumas\n 9 │ 657.0 San Diego\n 10 │ 542.0 San Joaquin\n 11 │ 718.0 Santa Clara\n\n\n\n\n\n","category":"function"},{"location":"api/#Survey.ratio","page":"API reference","title":"Survey.ratio","text":"ratio(numerator, denominator, design)\n\nEstimate the ratio of the columns specified in numerator and denominator.\n\njulia> apiclus1 = load_data(\"apiclus1\");\n\njulia> dclus1 = SurveyDesign(apiclus1; clusters = :dnum, weights = :pw);\n\njulia> ratio([:api00, :enroll], dclus1)\n1×1 DataFrame\n Row │ ratio\n │ Float64\n─────┼─────────\n 1 │ 1.17182\n\n\n\n\n\n\nratio(x::Vector{Symbol}, design::ReplicateDesign)\n\nCompute the standard error of the ratio using replicate weights.\n\nArguments\n\nvariable_num::Symbol: Symbol representing the numerator variable.\nvariable_den::Symbol: Symbol representing the denominator variable.\ndesign::ReplicateDesign: Replicate design object.\n\nExamples\n\njulia> ratio([:api00, :api99], bclus1)\n1×2 DataFrame\n Row │ estimator SE \n │ Float64 Float64 \n─────┼───────────────────────\n 1 │ 1.06127 0.00672259\n\n\n\n\n\nratio(var, domain, design)\n\nEstimate ratios of domains.\n\njulia> ratio([:api00, :api99], :cname, dclus1)\n11×2 DataFrame\n Row │ ratio cname\n │ Float64 String\n─────┼──────────────────────\n 1 │ 1.09852 Alameda\n 2 │ 1.17779 Fresno\n 3 │ 1.11453 Kern\n 4 │ 1.06307 Los Angeles\n 5 │ 1.00565 Mendocino\n 6 │ 1.08121 Merced\n 7 │ 1.03628 Orange\n 8 │ 1.02127 Plumas\n 9 │ 1.06112 San Diego\n 10 │ 1.07331 San Joaquin\n 11 │ 1.05598 Santa Clara\n\nUse the replicate design to compute standard errors of the estimated means. \n\njulia> ratio([:api00, :api99], :cname, bclus1)\n11×3 DataFrame\n Row │ estimator SE cname \n │ Float64 Float64 String \n─────┼─────────────────────────────────────\n 1 │ 1.05598 0.0189429 Santa Clara\n 2 │ 1.06112 0.00979481 San Diego\n 3 │ 1.08121 6.85453e-17 Merced\n 4 │ 1.06307 0.0257137 Los Angeles\n 5 │ 1.03628 0.0 Orange\n 6 │ 1.17779 6.27535e-18 Fresno\n 7 │ 1.02127 0.0 Plumas\n 8 │ 1.09852 2.12683e-16 Alameda\n 9 │ 1.07331 2.22045e-16 San Joaquin\n 10 │ 1.11453 0.0 Kern\n 11 │ 1.00565 0.0 Mendocino\n\n\n\n\n\n","category":"function"},{"location":"api/#GLM.glm","page":"API reference","title":"GLM.glm","text":"glm(formula::FormulaTerm, design::ReplicateDesign, args...; kwargs...)\n\nPerform generalized linear modeling (GLM) using the survey design with replicates.\n\nArguments\n\nformula: A FormulaTerm specifying the model formula.\ndesign: A ReplicateDesign object representing the survey design with replicates.\nargs...: Additional arguments to be passed to the glm function.\nkwargs...: Additional keyword arguments to be passed to the glm function.\n\nReturns\n\nA DataFrame containing the estimates for model coefficients and their standard errors.\n\nExample\n\napisrs = load_data(\"apisrs\")\nsrs = SurveyDesign(apisrs)\nbsrs = bootweights(srs, replicates = 2000)\nresult = glm(@formula(api00 ~ api99), bsrs, Normal())\n\njulia> glm(@formula(api00 ~ api99), bsrs, Normal())\n2×2 DataFrame\n Row │ estimator SE \n │ Float64 Float64 \n─────┼──────────────────────\n 1 │ 63.2831 9.41231\n 2 │ 0.949762 0.0135488\n\n\n\n\n\n","category":"function"},{"location":"api/#Survey.plot","page":"API reference","title":"Survey.plot","text":"plot(design, x, y; kwargs...)\n\nScatter plot of survey design variables x and y.\n\nThe plot takes into account the frequency weights specified by the user in the design.\n\njulia> using AlgebraOfGraphics\n\njulia> apisrs = load_data(\"apisrs\");\n\njulia> srs = SurveyDesign(apisrs; weights=:pw);\n\njulia> s = plot(srs, :api99, :api00);\n\njulia> save(\"scatter.png\", s)\n\n(Image: )\n\n\n\n\n\n","category":"function"},{"location":"api/#Survey.boxplot","page":"API reference","title":"Survey.boxplot","text":"boxplot(design, x, y; kwargs...)\n\nBox plot of survey design variable y grouped by column x.\n\nWeights can be specified by a Symbol using the keyword argument weights.\n\nThe keyword arguments are all the arguments that can be passed to mapping in AlgebraOfGraphics.\n\njulia> using AlgebraOfGraphics\n\njulia> apisrs = load_data(\"apisrs\");\n\njulia> srs = SurveyDesign(apisrs; weights=:pw);\n\njulia> bp = boxplot(srs, :stype, :enroll; weights = :pw);\n\njulia> save(\"boxplot.png\", bp)\n\n(Image: )\n\n\n\n\n\n","category":"function"},{"location":"api/#Survey.hist","page":"API reference","title":"Survey.hist","text":"hist(design, var, bins = freedman_diaconis; normalization = :density, kwargs...)\n\nHistogram plot of a survey design variable given by var.\n\nbins can be an Integer specifying the number of equal-width bins, an AbstractVector specifying the bins intervals, or a Function specifying the function used for calculating the number of bins. The possible functions are sturges and freedman_diaconis.\n\nThe normalization can be set to :none, :density, :probability or :pdf. See AlgebraOfGraphics.histogram for more information.\n\nFor the complete argument list see Makie.hist.\n\nnote: Note\nThe weights argument should be a Symbol specifying a design variable.\n\njulia> using AlgebraOfGraphics\n\njulia> apisrs = load_data(\"apisrs\");\n\njulia> srs = SurveyDesign(apisrs; weights=:pw);\n\njulia> h = hist(srs, :enroll);\n\njulia> save(\"hist.png\", h)\n\n(Image: )\n\n\n\n\n\n","category":"function"},{"location":"api/#Survey.sturges","page":"API reference","title":"Survey.sturges","text":"sturges(design::SurveyDesign, var::Symbol)\n\nCalculate the number of bins to use in a histogram using the Sturges rule.\n\nExamples\n\njulia> apisrs = load_data(\"apisrs\");\n\njulia> srs = SurveyDesign(apisrs; weights=:pw);\n\njulia> sturges(srs, :enroll)\n9\n\n\n\n\n\n","category":"function"},{"location":"api/#Survey.freedman_diaconis","page":"API reference","title":"Survey.freedman_diaconis","text":"freedman_diaconis(design::SurveyDesign, var::Symbol)\n\nCalculate the number of bins to use in a histogram using the Freedman-Diaconis rule.\n\nExamples\n\njulia> apisrs = load_data(\"apisrs\");\n\njulia> srs = SurveyDesign(apisrs; weights=:pw);\n\njulia> freedman_diaconis(srs, :enroll)\n18\n\n\n\n\n\n","category":"function"},{"location":"man/glm/#Generalized-Linear-Models-in-Survey","page":"Generalised linear models","title":"Generalized Linear Models in Survey","text":"","category":"section"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"The glm() function in the Julia Survey package is used to fit generalized linear models (GLMs) to survey data. It incorporates survey design information, such as sampling weights, stratification, and clustering, to produce valid estimates and standard errors that account for the type of survey design.","category":"page"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"As of June 2023, the GLM.jl documentation lists the supported distribution families and their link functions as:","category":"page"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"Bernoulli (LogitLink)\nBinomial (LogitLink)\nGamma (InverseLink)\nInverseGaussian (InverseSquareLink)\nNegativeBinomial (NegativeBinomialLink, often used with LogLink)\nNormal (IdentityLink)\nPoisson (LogLink)","category":"page"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"Refer to the GLM.jl documentation for more information about the GLM package.","category":"page"},{"location":"man/glm/#Fitting-a-GLM-to-a-Survey-Design-object","page":"Generalised linear models","title":"Fitting a GLM to a Survey Design object","text":"","category":"section"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"You can fit a GLM to a Survey Design object the same way you would fit it to a regular data frame. The only difference is that you need to specify the survey design object as the second argument to the glm() function.","category":"page"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"using Survey\napisrs = load_data(\"apisrs\") \n\n# Simple random sample survey\nsrs = SurveyDesign(apisrs, weights = :pw) \n\n# Survey stratified by stype\ndstrat = SurveyDesign(apistrat, strata = :stype, weights = :pw) \n\n# Survey clustered by dnum\ndclus1 = SurveyDesign(apiclus1, clusters = :dnum, weights = :pw) ","category":"page"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"Once you have the survey design object, you can fit a GLM using the glm() function. Specify the formula for the model and the distribution family. ","category":"page"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"The glm() function supports all distribution families supported by GLM.jl, i.e. Bernoulli, Binomial, Gamma, Geometric, InverseGaussian, NegativeBinomial, Normal, and Poisson. ","category":"page"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"For example, to fit a GLM with a Bernoulli distribution and a Logit link function to the srs survey design object we created above:","category":"page"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"formula = @formula(api00 ~ api99)\nmy_glm = glm(formula, srs, family = Normal())\n\n# View the coefficients and standard errors\nmy_glm.Coefficients\nmy_glm.SE","category":"page"},{"location":"man/glm/#Examples","page":"Generalised linear models","title":"Examples","text":"","category":"section"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"The examples below use the api datasets, which contain survey data collected about California schools. The datasets are included in the Survey.jl package and can be loaded by calling load_data(\"name_of_dataset\").","category":"page"},{"location":"man/glm/#Bernoulli-with-Logit-Link","page":"Generalised linear models","title":"Bernoulli with Logit Link","text":"","category":"section"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"A school being eligible for the awards program (awards) is a binary outcome (0 or 1). Let's assume it follows a Bernoulli distribution. Suppose we want to predict awards based on the percentage of students eligible for subsidized meals (meals) and the percentage of English Language Learners (ell). We can fit this GLM using the code below:","category":"page"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"using Survey\napisrs = load_data(\"apisrs\")\nsrs = SurveyDesign(apisrs, weights = :pw) \n\n# Convert yes/no to 1/0\napisrs.awards = ifelse.(apisrs.awards .== \"Yes\", 1, 0)\n\n# Fit the model\nmodel = glm(@formula(awards ~ meals + ell), apisrs, Bernoulli(), LogitLink())","category":"page"},{"location":"man/glm/#Poisson-with-Log-Link","page":"Generalised linear models","title":"Poisson with Log Link","text":"","category":"section"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"Let us assume that the number of students tested (api_stu) follows a Poisson distribution, which models the number of successes out of a fixed number of trials. Suppose we want to predict the number of students tested based on the percentage of students eligible for subsidized meals (meals) and the percentage of English Language Learners (ell). We can fit this GLM using the code below:","category":"page"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"using Survey\napisrs = load_data(\"apisrs\")\nsrs = SurveyDesign(apisrs, weights = :pw) \n\n# Rename api.stu to api_stu\nrename!(apisrs, Symbol(\"api.stu\") => :api_stu)\n\n# Fit the model\nmodel = glm(@formula(api_stu ~ meals + ell), apisrs, Poisson(), LogLink())","category":"page"},{"location":"man/glm/#Gamma-with-Inverse-Link","page":"Generalised linear models","title":"Gamma with Inverse Link","text":"","category":"section"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"Let us assume that the average parental education level (avg_ed) follows a Gamma distribution, which is suitable for modeling continuous, positive-valued variables with a skewed distribution. Suppose we want to predict the average parental education level based on the percentage of students eligible for subsidized meals (meals) and the percentage of English Language Learners (ell). We can fit this GLM using the code below:","category":"page"},{"location":"man/glm/","page":"Generalised linear models","title":"Generalised linear models","text":"using Survey\napisrs = load_data(\"apisrs\")\nsrs = SurveyDesign(apisrs, weights = :pw) \n\n# Rename api.stu to api_stu\nrename!(apisrs, Symbol(\"avg.ed\") => :avg_ed)\n\n# Fit the model\nmodel = glm(@formula(avg_ed ~ meals + ell), apisrs, Gamma(), InverseLink())","category":"page"},{"location":"getting_started/#Installation","page":"Getting Started","title":"Installation","text":"","category":"section"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"The Survey.jl package is registered. Regular Pkg commands can be used for installing the package:","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"using Pkg\n\nPkg.add(\"Survey\")","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"] add Survey","category":"page"},{"location":"getting_started/#Tutorial","page":"Getting Started","title":"Tutorial","text":"","category":"section"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"This tutorial assumes basic knowledge of statistics and survey analysis.","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"To begin this tutorial, load the package in your workspace:","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"using Survey","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"Now load a survey dataset that you want to study. In this tutorial we will be using the Academic Performance Index (API) datasets for Californian schools. The datasets contain information for all schools with at least 100 students and for various probability samples of the data.","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"apisrs = load_data(\"apisrs\")","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"apisrs is a simple random sample of the Academic Performance Index of Californian schools. The load_data function loads it as a DataFrame. You can look at the column names of apisrs to get an idea of what the dataset contains.","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"names(apisrs)","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"Next, build a survey design from your DataFrame:","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"srs = SurveyDesign(apisrs; weights=:pw)","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"This is a simple random sample design with weights given by the column :pw of apisrs. You can also create more complex designs such as stratified or cluster sample designs. You can find more information on the complete capabilities of the package in the Manual. The purpose of this tutorial is to show the basic usage of the package. For that, we will stick with a simple random sample.","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"Now you can analyse your design according to your needs using the functionality provided by the package. For example, you can compute the estimated mean or population total for a given variable. Let's say you want to find the mean Academic Performance Index from the year 1999. If you are only interested in the estimated mean, then you can directly pass your design to the mean function:","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"mean(:api99, srs)","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"If you also want to know the standard error of the mean, you need to convert the SurveyDesign to a ReplicateDesign using bootstrapping:","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"bsrs = bootweights(srs; replicates = 1000)\nmean(:api99, bsrs)","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"You can find the mean of both the 1999 API and 2000 API for a clear comparison between students' performance from one year to another:","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"mean([:api99, :api00], bsrs)","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"The ratio is also appropriate for studying the relationship between the two APIs:","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"ratio(:api00, :api99, bsrs)","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"If you're interested in a certain statistic estimated by a specific domain, you can add the domain as the second parameter to your function. Let's say you want to find the estimated total number of students enrolled in schools from each county:","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"total(:enroll, :cname, bsrs)","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"Another way to visualize data is through graphs. You can make a histogram to better see the distribution of enrolled students:","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"# !!!THIS NEEDS TO MATCH THE EXAMPLE IN THE DOCSTRING OF `hist`","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"julia> hist(srs, :enroll)","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"The REPL doesn't show the plot. To see it, you need to save it locally.","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"julia> import AlgebraOfGraphics.save\n\njulia> save(\"hist.png\", h)","category":"page"},{"location":"getting_started/","page":"Getting Started","title":"Getting Started","text":"(Image: )","category":"page"},{"location":"man/comparisons/#Comparison-with-other-survey-analysis-tools","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"","category":"section"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"There are multiple alternatives that offer survey analysis tools, most notably SAS, Stata and R.","category":"page"},{"location":"man/comparisons/#R-comparison","page":"Comparison with other survey analysis tools","title":"R comparison","text":"","category":"section"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"The inspiration for Survey.jl comes from R. Hence the syntax is in most cases very similar to the syntax in the survey package from R. To showcase this we will use the api datasets found in both R's survey and Survey.jl. See the Tutorial section for more details about the api datesets.","category":"page"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"All examples show the R code first, followed by the Julia code.","category":"page"},{"location":"man/comparisons/#Loading-data","page":"Comparison with other survey analysis tools","title":"Loading data","text":"","category":"section"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"> data(api)\n# all `api` datasets are loaded globally","category":"page"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"julia> srs = load_data(\"apisrs\")\n# only one dataset is loaded and stored in a variable","category":"page"},{"location":"man/comparisons/#Creating-a-design","page":"Comparison with other survey analysis tools","title":"Creating a design","text":"","category":"section"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"> srs = svydesign(id=~1, data=apisrs, weights=~pw) # simple random sample\n> dstrat = svydesign(id=~1, data=apistrat, strata=~stype, weights=~pw) # stratified\n> clus1 = svydesign(id=~dnum, data=apiclus1, weights=~pw) # clustered (one stage)","category":"page"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"julia> srs = SurveyDesign(apisrs; weights=:pw) # simple random sample\njulia> dstrat = SurveyDesign(apistrat; strata=:stype, weights=:pw) # stratified\njulia> clus1 = SurveyDesign(apiclus1; clusters=:dnum, weights=:pw) # clustered (one stage)","category":"page"},{"location":"man/comparisons/#Creating-a-replicate-design","page":"Comparison with other survey analysis tools","title":"Creating a replicate design","text":"","category":"section"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"> bsrs = as.svrepdesign(srs, type=\"subbootstrap\")","category":"page"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"julia> bsrs = bootweights(srs)","category":"page"},{"location":"man/comparisons/#Computing-the-estimated-mean","page":"Comparison with other survey analysis tools","title":"Computing the estimated mean","text":"","category":"section"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"> svymean(~api00, bsrs)\n> svymean(~api99+~api00, bsrs)","category":"page"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"julia> mean(:api00, bsrs)\njulia> mean([:api99, :api00], bsrs)","category":"page"},{"location":"man/comparisons/#Computing-the-estimated-total","page":"Comparison with other survey analysis tools","title":"Computing the estimated total","text":"","category":"section"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"> svytotal(~api00, bsrs)\n> svytotal(~api99+~api00, bsrs)","category":"page"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"julia> total(:api00, bsrs)\njulia> total([:api99, :api00], bsrs)","category":"page"},{"location":"man/comparisons/#Computing-quantiles","page":"Comparison with other survey analysis tools","title":"Computing quantiles","text":"","category":"section"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"> svyquantile(~api00, bsrs, 0.5)\n> svyquantile(~api00, bsrs, c(0.25, 0.5, 0.75))","category":"page"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"julia> quantile(:api00, bsrs, 0.5)\njulia> quantile(:api00, bsrs, [0.25, 0.5, 0.75])","category":"page"},{"location":"man/comparisons/#Domain-estimation","page":"Comparison with other survey analysis tools","title":"Domain estimation","text":"","category":"section"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"> svyby(~api00, ~cname, bsrs, svymean)","category":"page"},{"location":"man/comparisons/","page":"Comparison with other survey analysis tools","title":"Comparison with other survey analysis tools","text":"julia> mean(:api00, :cname, bsrs)","category":"page"},{"location":"","page":"Home","title":"Home","text":"CurrentModule = Survey","category":"page"},{"location":"#Survey","page":"Home","title":"Survey","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"This package is used to study complex survey data. It aims to provide an efficient computing framework for survey analysis.","category":"page"},{"location":"","page":"Home","title":"Home","text":"Surveys are a standard tool for empirical research in social and behavioral sciences, and also widely used by governments and businesses. To obtain a better representation of a population and more precise estimates, complex surveys use sampling techniques like clustering, stratification, unequal probability selection or a combination of these. Computing population estimates from a survey with corresponding standard errors requires several corrections, weights calibrations and adjustments. A \"survey\" package automatically applies several of these mathematical techniques and exposes an intuitive API to the user.","category":"page"},{"location":"","page":"Home","title":"Home","text":"Sizes of survey datasets have also been growing with advances in computing power and storage, as well as ease of administering surveys online and over wider geographic areas. This Julia package aims to provide an efficient framework for rapidly growing sizes of survey datasets.","category":"page"},{"location":"","page":"Home","title":"Home","text":"Several software tools are available to study complex surveys[1]. The survey package in R is a widely used open-source package.","category":"page"},{"location":"","page":"Home","title":"Home","text":"Discourse post announcing the package.","category":"page"},{"location":"#Current-features","page":"Home","title":"Current features","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Presently, summary statistics such as mean, total, ratio, and quantile can be estimated for whole of sample as well as subpopulations/domains using this package. Variance estimation for these estimators are performed using Rao-Wu bootstrap[2]. Basic visualisations such a scatter plot, histogram and box plot can also be generated. ","category":"page"},{"location":"","page":"Home","title":"Home","text":"The package is built on top of DataFrames.jl and supports a variety of features for data manipulation. Plots are generated using AlgebraOfGraphics.","category":"page"},{"location":"#Plans","page":"Home","title":"Plans","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"We plan for efficient implementations of all the methods in R survey. Features for future releases will include:","category":"page"},{"location":"","page":"Home","title":"Home","text":"Proportion and count estimation\nVariance by Taylor linearization for SurveyDesign\nSupport additional replicate weighting algorithms (BRR, Jackknife, other bootstrap flavors) for ReplicateDesign\nBetter support for more complex survey designs, including more precise estimators for specific designs\nPost-stratification, raking or calibration, GREG estimation and related methods.\nFrequency/contingency table analysis, association tests\nSurvival curves and analysis tools\nIntegration with GLM.jl\nSupport for CategoricalsArrays\nMultivariate analysis, principal components \nSupport for imputing missing data\nIntegration with CRRao.jl ","category":"page"},{"location":"#References","page":"Home","title":"References","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"[1]: Comprehensive list of survey analysis software.","category":"page"},{"location":"","page":"Home","title":"Home","text":"[2]: Rust, Keith F., and J. N. K. Rao. \"Variance estimation for complex surveys using replication techniques.\", Statistical methods in medical research 5.3 (1996): 283-310.","category":"page"},{"location":"man/dataframes/#manual","page":"DataFrames in Survey","title":"DataFrames in Survey","text":"","category":"section"},{"location":"man/dataframes/","page":"DataFrames in Survey","title":"DataFrames in Survey","text":"The internal structure of a survey design is build upon DataFrames. In fact, the data argument is the only required argument for the constructor, and it must be an AbstractDataFrame.","category":"page"},{"location":"man/dataframes/#Data-manipulation","page":"DataFrames in Survey","title":"Data manipulation","text":"","category":"section"},{"location":"man/dataframes/","page":"DataFrames in Survey","title":"DataFrames in Survey","text":"The provided DataFrame is altered by the SurveyDesign constructor in order to add columns for frequency and probability weights, sample and population sizes and, if necessary, strata and cluster information.","category":"page"},{"location":"man/dataframes/","page":"DataFrames in Survey","title":"DataFrames in Survey","text":"Notice the change in apisrs:","category":"page"},{"location":"man/dataframes/","page":"DataFrames in Survey","title":"DataFrames in Survey","text":"using Survey","category":"page"},{"location":"man/dataframes/","page":"DataFrames in Survey","title":"DataFrames in Survey","text":"apisrs = load_data(\"apisrs\")\nnames(apisrs)\nsrs = SurveyDesign(apisrs; weights=:pw);\napisrs\nnames(apisrs)","category":"page"},{"location":"man/dataframes/","page":"DataFrames in Survey","title":"DataFrames in Survey","text":"Five columns were added:","category":"page"},{"location":"man/dataframes/","page":"DataFrames in Survey","title":"DataFrames in Survey","text":"false_strata - only in the case of no stratification\nThis column is necessary because when making a ReplicateDesign, the bootweights function uses groupby with a column representing the stratification variable. If there are no strata, there is no such column, so it should be added in order to keep bootweights general.\nfalse_cluster - only in the case of no clustering\nThe reasoning is the same as in the case of no stratification.\n_sampsize - sample sizes\n_popsize - population sizes\nThese match the stratification variable:","category":"page"},{"location":"man/dataframes/","page":"DataFrames in Survey","title":"DataFrames in Survey","text":"apistrat = load_data(\"apistrat\");\ndstrat = SurveyDesign(apistrat; strata=:stype, weights=:pw);\napistrat[:, [:stype, :_sampsize, :_popsize]]","category":"page"},{"location":"man/dataframes/","page":"DataFrames in Survey","title":"DataFrames in Survey","text":"_allprobs - probability weights","category":"page"},{"location":"man/dataframes/","page":"DataFrames in Survey","title":"DataFrames in Survey","text":"No column was added for frequency weights because the column passed through the weights argument is used by other functions, hence there is no need to add a new column. If weights is not specified, then a column called _weights is added.","category":"page"}] +} diff --git a/previews/PR316/siteinfo.js b/previews/PR316/siteinfo.js new file mode 100644 index 00000000..0c977d43 --- /dev/null +++ b/previews/PR316/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "previews/PR316";