From f32fb453a1b255b07814cb62c532dedeee142ab3 Mon Sep 17 00:00:00 2001 From: zleyyij Date: Thu, 25 Jan 2024 13:55:30 -0700 Subject: [PATCH] vault backup: 2024-01-25 13:55:30 --- education/statistics/Sampling.md | 9 +++++---- 1 file changed, 5 insertions(+), 4 deletions(-) diff --git a/education/statistics/Sampling.md b/education/statistics/Sampling.md index e38857f..d3bb8d4 100644 --- a/education/statistics/Sampling.md +++ b/education/statistics/Sampling.md @@ -6,7 +6,7 @@ | Quantitative | A numerical value (7, 8, 9) | | Population | The entire set of existing units that investigators wish to study | | Sample | A portion or subset of the population | -| Parameter | A number that describes a characteristic of a *population* (*10%* of US senators voted for something) | +| Parameter | A number that describes a characteristic of an entire *population* (*10%* of US senators voted for something) | | Statistic | A number that describes a *sample* characteristic (*71%* of Americans feel that ...) | > A global consumer survey reported that 6% of US taxpayers used or owned cryptocurrency in 2020. The US government is interested in knowing if this percentage has increased. The University of Chicago surveys 1,004 taxpayers and finds that 13% have used or owned crypto in the past year (2021) @@ -38,11 +38,12 @@ An ideal sample will represent the whole population. ## Percentages (Ch 20, stat 1040) -The expected value for a sample percentage equals the population percentage. The standard error for that percentage = `(SE_sum/sample_size) * 100%` +The expected value for a sample percentage equals the population percentage. The standard error for that percentage = `(SE_sum/sample_size) * 100%`. -To determine by how much the standard error is affected, if `n` is the sample size, the standard error changes by $\frac{1}{\sqrt{n}}$ +To determine by how much the standard error is affected, if $n$ is the proportion that the population changed by, the standard error will change by $\frac{1}{\sqrt{n}}$. Accuracy in statistics refers to how small the standard error is. A smaller standard error means your data is more accurate. You can use the below equation to find the percentage standard error of a box model that has ones and zeros. the % of ones and zeros should be represented as a proportion (EG: `60% = 0.6`). -$$ \sqrt{\frac{(\%\space of\space 1s)(\%\space of\space 0s)}{num_{draws}}} $$(Ch 21, stat 1040) \ No newline at end of file +$$ \sqrt{\frac{(\%\space of\space 1s)(\%\space of\space 0s)}{num_{draws}}} $$ +If asked \ No newline at end of file