From d1cc224b445ff12af2349b69799f89431d802b1a Mon Sep 17 00:00:00 2001 From: zleyyij Date: Mon, 29 Jan 2024 14:12:28 -0700 Subject: [PATCH] vault backup: 2024-01-29 14:12:28 --- education/statistics/Sampling.md | 10 +++++++++- 1 file changed, 9 insertions(+), 1 deletion(-) diff --git a/education/statistics/Sampling.md b/education/statistics/Sampling.md index b5b8ad3..2078c21 100644 --- a/education/statistics/Sampling.md +++ b/education/statistics/Sampling.md @@ -67,4 +67,12 @@ $$ \frac{SD_{box}}{\sqrt{num_{draws}}} $$ | $EV_{ave}$ | The expected value for the average of the population | | $SE_{ave}$ | The standard error | ## Confidence Interval -95% confidence means that 95% of the time the interval constructed will capture the parameter, and 95% of the time it will not. \ No newline at end of file +Remember that the *parameter* is the *number* that actually describes the population. +95% confidence means that 95% of the time the interval constructed will capture the parameter, and 95% of the time it will not. + +For any unknown average, the probability histogram of the sample averages will be shaped like the normal curve and centered at the true average with a standard deviation equal to $SE_{ave}$. + +$$ sample_{ave} \pm 2 * se_{ave} $$ +The above equation will give you an interval that you can be 95% confident that the true random will be within that point. + +95% does *not* mean that 95% of the data is in the interval, it just means we are 95% confident that the actual point is going to lie within the range specified. \ No newline at end of file