From deeb0db87e804e625578f2b6c1b5d7bda5415143 Mon Sep 17 00:00:00 2001 From: Jacob Bumgarner Date: Wed, 1 May 2024 00:24:03 -0400 Subject: [PATCH] local update --- _quarto.yml | 3 +- about.qmd | 2 +- .../statistics/variance/distributions.png | Bin 0 -> 81610 bytes .../statistics/variance/variance.qmd | 31 ++++++++++++++++++ www/headshot_2023.jpeg | Bin 0 -> 139881 bytes www/headshot_2023.jpg | Bin 472656 -> 0 bytes 6 files changed, 33 insertions(+), 3 deletions(-) create mode 100644 learning_posts/statistics/variance/distributions.png create mode 100644 learning_posts/statistics/variance/variance.qmd create mode 100644 www/headshot_2023.jpeg delete mode 100644 www/headshot_2023.jpg diff --git a/_quarto.yml b/_quarto.yml index b45ae1d..f74a046 100644 --- a/_quarto.yml +++ b/_quarto.yml @@ -55,8 +55,7 @@ website: contents: learning_posts/linear_algebra/* - section: learning_posts/statistics.qmd contents: - - section: learning_posts/statistics/correlation.qmd - contents: 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k|K`YtxWfMjqO=uPN1pZlH@B9r6Bm5>lETHe68ew+KXc?4#sB~S literal 0 HcmV?d00001 diff --git a/learning_posts/statistics/variance/variance.qmd b/learning_posts/statistics/variance/variance.qmd new file mode 100644 index 0000000..aa17db9 --- /dev/null +++ b/learning_posts/statistics/variance/variance.qmd @@ -0,0 +1,31 @@ +--- +title: "Variance" +format: + html: + toc: true +--- + +## Overview + +**Variance** is a quantitative measurement of the *spread* of a set of data +around the mean of the data. + +![Varying Distributions](distributions.png){width=50%} + +In descriptive statistics, variance is used to describe the distribution of a +sample or population. In inferential statistics, variance is a measurement used +to measure the expected variability of a *random variable^a^*. + +:::{.column-margin} + +*^a^Random variables* are functions that map sample spaces (e.g., $\{ H, T \}$ is +the sample space of a coin flip) to a measurable space (e.g., $\{ H: 0, T: 1 +\}$). By definition, a random variable generates values that vary *randomly* +[@wiki:Random_variable; @psu_stat500]. + +::: + +## References +:::{#refs} + +::: \ No newline at end of file diff --git a/www/headshot_2023.jpeg b/www/headshot_2023.jpeg new file mode 100644 index 0000000000000000000000000000000000000000..096f38dcfe48f990b1970d71180408e71b9fd6c8 GIT binary patch literal 139881 zcmbSx1zeQP_wUk3gLDfB!qUxBB8>u)OC#O6bP7mFN-HVSxzdevO1N})cM3|}Mc?|p z_xHb_d+)&W%y-Y6bLO0x^URzl?xyaRkzmpuR^|YJq9T9=005u^un=$oh;W1oKQa*T zeqn4l&OsmmAi-+{_#Xg)9Dwo*0{|5W6o26cgeQOSz%?Ln{gUN@^R**z|H6cDe1RbR zr%nV6#D{%7m7So1K^TiK3B-mHj;rGXTKN$;|`e z6aaDa({k~GcsN0vT!80BR<>qlw9lO#Y;6I6r#8QS+T8zgyw`2vY~*O^2>?6}O!?Dq z#FN1EzwnPRy1#u2WBLPs1OUP~{~nt#?mztle0&E0puzn>hMU6m4(ZQvLPC6p{1+yE z_j?}Td`K+s@PEfn-@-x`y0bu`)xlLC+A0mKV;#v@)7Y*ACa~` zBK?g&;ryl3`V;P7*!dIQAF}Y+$@xK#~M6Nk-T!af9ZtB z4^mhT?=L$a!f`!5#f?G&W9N z5GOn;|6KzBUM2tl_9FnGXaoQd@`vlZFYrEo^?P4~e*G2-o`;j702I0K(MAAqalw1x zC-K{f$SJ3Cq#ZrT^L8fuF0D28i*7k*B`dzQOp 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