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Binomial proportion confidence interval

In statistics, a binomial proportion confidence interval is a confidence interval for the probability of success calculated from the outcome of a series of success–failure experiments (Bernoulli trials). In other words, a binomial proportion confidence interval is an interval estimate of a success probability p {\displaystyle p} when only the number of…

Standards, Wilson score interval & Problems with using a normal approximation or "Wald interval"

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Overview

Problems with using a normal approximation or "Wald interval"

Standard error of a proportion estimation when using weighted data

Wilson score interval

Jeffreys interval

Clopper–Pearson interval

Agresti–Coull interval

Arcsine transformation

Ta transform

Rule of three — for when no successes are observed

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Binomial proportion confidence interval

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Avg. degree1.97
Density0.027778
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Binomial proportion confidence interval

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Binomial proportion confidence interval → confidence interval for the probability of success calculated from the outcome of a series of success, interval estimate of a success probability p

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Important terminology

displaystyle interval alpha confidence binomial left right 1- distribution hat tfrac wilson frac proportion probability normal successes sqrt mathsf trials

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SubjectPredicateObjectConfidenceSrc
Binomial proportion confidence intervalis aconfidence interval for the probability of success calculated from the outcome of a series of success0.90text
Binomial proportion confidence intervalis ainterval estimate of a success probability p0.90text
the Clopperinstance ofpoint out that exact methods0.80text
95instance ofthe actual coverage is not equal to the nominal level0.80text

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