proportion (version 2.0.0)

ciCLT: Continuity corrected Logit Wald method of CI estimation

Description

Continuity corrected Logit Wald method of CI estimation

Usage

ciCLT(n, alp, c)

Arguments

n

- Number of trials

alp

- Alpha value (significance level required)

c

- Continuity correction

Value

A dataframe with

x

Number of successes (positive samples)

LCLT

Logit Wald Lower limit

UCLT

Logit Wald Upper Limit

LABB

Logit Wald Lower Abberation

UABB

Logit Wald Upper Abberation

ZWI

Zero Width Interval

Details

Wald-type interval for the logit transformation of the parameter p using the test statistic \((abs(L(phat)-L(p))-c)/SE\) where \(c > 0\) is a constant for continuity correction and \(L(y) = log(y/1-y)\) for all \(x = 0, 1, 2 ..n\). Boundary modifications when \(x = 0\) or \(x = n\) using Exact method values.

References

[1] 1998 Agresti A and Coull BA. Approximate is better than "Exact" for interval estimation of binomial proportions. The American Statistician: 52; 119 - 126.

[2] 1998 Newcombe RG. Two-sided confidence intervals for the single proportion: Comparison of seven methods. Statistics in Medicine: 17; 857 - 872.

[3] 2008 Pires, A.M., Amado, C. Interval Estimators for a Binomial Proportion: Comparison of Twenty Methods. REVSTAT - Statistical Journal, 6, 165-197.

See Also

prop.test and binom.test for equivalent base Stats R functionality, binom.confint provides similar functionality for 11 methods, wald2ci which provides multiple functions for CI calculation , binom.blaker.limits which calculates Blaker CI which is not covered here and propCI which provides similar functionality.

Other Continuity correction methods of CI estimation: PlotciCAS, PlotciCAllg, PlotciCAll, PlotciCLT, PlotciCSC, PlotciCTW, PlotciCWD, ciCAS, ciCAll, ciCSC, ciCTW, ciCWD

Examples

n=5; alp=0.05;c=1/(2*n)
ciCLT(n,alp,c)