Proportion Estimation: Difference between revisions
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Proportion estimation is another common task for sample statistics. | |||
<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> | |||
[[Category:Sample Statistics]] | |||
Revision as of 01:58, 16 March 2024
Proportion estimation is another common task for sample statistics.
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \hat{p} = \frac{y}{n} }
where is the number of subjects in the sample with a particular trait, and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n} is the sample size.
We have
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mu_\hat{p} = p, \sigma_\hat{p} = \sqrt{\frac{p (1 - p)}{n}} }
and standard error
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle SE = \sqrt{\frac{\hat{p} (1 - \hat{p})}{n}} }
