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Data-Centric Statistical Inference Using R and Tidyverse

Virtual Sampling Using Different Shovels

Understand how varying sample sizes affect the precision of proportion estimates by conducting virtual sampling with different shovel sizes. Learn to generate and compare histograms of replicated samples and measure variation using standard deviation, enhancing your grasp of sampling variation and statistical inference.

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Now, instead of just one shovel, say we have three choices of shovels to extract a sample of balls with shovels of size 25, 50, and 100.

Three shovels to extract three different sample sizes
Three shovels to extract three different sample sizes

If our goal is still to estimate the proportion of the bowl’s balls that are red, which shovel will we choose? In our experience, most people will choose the largest shovel with 100 slots because it’ll yield the best guess of the proportion of the bowl’s balls that are red. Let’s define some criteria for best in this lesson.

Using our newly developed tools for virtual sampling, let’s take a closer look at the effect of having ...