uncond:
Calculates an unconditional true profile likelihood confidence interval.
Description
uncond gives a two-sided true profile likelihood confidence interval
for the difference of two dependent proportions.
It is built by the solution of an inequality. Data are assumed to
be of a fourfold table, which contains the number of concordance
and the number of discordance of two dependent methods.
Usage
uncond(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
Details
The true profile likelihood confidence interval has as lower limit
the minimum of the solutions for the inequality of the maximum likelihood
function and the quantile of the normal distribution. The upper limit is
defined as the maximum solution of this inequality.
References
Newcombe, R.G. (1998). Improved confidence intervals for the difference between binomial proportions based on paired data. Statistics in Medicine 17. 2635-2650.