From 65c152e2d13e0260b92ed20c5b4926200cb75033 Mon Sep 17 00:00:00 2001 From: zleyyij Date: Thu, 25 Jan 2024 14:10:30 -0700 Subject: [PATCH] vault backup: 2024-01-25 14:10:30 --- education/statistics/Sampling.md | 12 +++++++++--- 1 file changed, 9 insertions(+), 3 deletions(-) diff --git a/education/statistics/Sampling.md b/education/statistics/Sampling.md index 4abebee..f06ee5d 100644 --- a/education/statistics/Sampling.md +++ b/education/statistics/Sampling.md @@ -53,7 +53,13 @@ If asked if an observed % is reasonable, you can calculate the z score, and if t ## Sampling Distributions (Ch 23, stat 1040) -Take a sample, find the average, plot it and repeat. After many many samples, the empirical probability histogram for sample averages -looks like the theoretical probability -histogram. +Take a sample, find the average, plot it and repeat. After many many samples, the *observed* probability histogram for sample averages looks like the *predicted* probability histogram. +As with $SE_\%$, as the sample size increase, the standard error decreases. + +The central limit theorem still applies here, so the probability histogram for the average of the draws *follows the normal curve* with a large number of draws, even if the contents of the box do not. + +| Term | Definition | +| ---- | ---- | +| $EV_{ave}$ | The expected value for the average | +| $SE_{ave}$ | The standard error |