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: learning_posts/statistics/correlation/* + - learning_posts/statistics/variance/variance.qmd format: html: diff --git a/about.qmd b/about.qmd index 93ccbdd..368b6c5 100644 --- a/about.qmd +++ b/about.qmd @@ -1,6 +1,6 @@ --- pagetitle: "About" -image: www/headshot_2023.jpg +image: www/headshot_2023.jpeg about: template: trestles image-shape: round diff --git a/learning_posts/statistics/variance/distributions.png b/learning_posts/statistics/variance/distributions.png new file mode 100644 index 0000000..b0272f4 Binary files /dev/null and b/learning_posts/statistics/variance/distributions.png differ 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 0000000..096f38d Binary files /dev/null and b/www/headshot_2023.jpeg differ diff --git a/www/headshot_2023.jpg b/www/headshot_2023.jpg deleted file mode 100644 index 39295ce..0000000 Binary files a/www/headshot_2023.jpg and /dev/null differ