Proportion Estimation: Difference between revisions

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Proportion estimation is another common task for sample statistics.


We have sample proportion
<math>
\hat{p} = \frac{y}{n}
</math>
where <math>y</math> is the number of subjects in the sample with a
particular trait, and <math>n</math> is the sample size.
We have
<math>
\mu_\hat{p} = p, \sigma_\hat{p} = \sqrt{\frac{p (1 - p)}{n}}
</math>
and standard error
<math>
SE = \sqrt{\frac{\hat{p} (1 - \hat{p})}{n}}
</math>
= Wilson-Adjusted CI for p =
''Correcting'' the sample proportion narrows the confidence interval. We
do this with the '''Wilson-Adjusted estimate''' for <math>p</math>
<math>
\widetilde{p}
</math>
[[Category:Sample Statistics]]

Revision as of 02:01, 16 March 2024