Calculates a Wilson confidence interval

Description

wilson gives a two-sided Wilson confidence interval for the difference of two dependent proportions. There is no continuity correction performed. Data are assumed to be of a fourfold table, which contains the numbers of concordance and the numbers of discordance of two dependent methods.

Usage

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wilson(a, b, c, d, n, alpha)

Arguments

a

first number of concordant paires as described above

b

first number of discordant paires as described above

c

second number of discordant paires as described above

d

second number of concordant paires as described above

n

number of observed objects

alpha

type I error; between zero and one

Value

A list with class '"htest"' containing the following components:

conf.int

a confidence interval for the difference in proportions

estimate

estimated difference in proportions

Author(s)

Daniela Wenzel, Antonia Zapf

References

Newcombe, R.G. (1998). Improved confidence intervals for the difference between binomial proportions based on paired data. Statistics in Medicine 17. 2635-2650.

Examples

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# a=10, b=15, c=5, d=20, n=50, type I error is 0.05
conf.int=wilson(10,15,5,20,50,0.05)