ciAS: ArcSine method of CI estimation

In RajeswaranV/proportion: Inference on Single Binomial Proportion and Bayesian Computations

ArcSine method of CI estimation

Description

ArcSine method of CI estimation

Usage

ciAS(n, alp)

Arguments

n	- Number of trials
alp	- Alpha value (significance level required)

Details

Wald-type interval for all x = 0, 1, 2 ..n using the arcsine transformation of the parameter p; that is based on the normal approximation for sin-1(p). Calculates the Confidence Interval of n given alp along with lower and upper abberation.

Value

A dataframe with

x	- Number of successes (positive samples)
LAS	- ArcSine Lower limit
UAS	- ArcSine Upper Limit
LABB	- ArcSine Lower Abberation
UABB	- ArcSine Upper Abberation
ZWI	- Zero Width Interval

References

[1] 1993 Vollset SE. Confidence intervals for a binomial proportion. Statistics in Medicine: 12; 809 - 824.

[2] 1998 Agresti A and Coull BA. Approximate is better than "Exact" for interval estimation of binomial proportions. The American Statistician: 52; 119 - 126.

[3] 1998 Newcombe RG. Two-sided confidence intervals for the single proportion: Comparison of seven methods. Statistics in Medicine: 17; 857 - 872.

[4] 2001 Brown LD, Cai TT and DasGupta A. Interval estimation for a binomial proportion. Statistical Science: 16; 101 - 133.

[5] 2002 Pan W. Approximate confidence intervals for one proportion and difference of two proportions Computational Statistics and Data Analysis 40, 128, 143-157.

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

[7] 2014 Martin Andres, A. and Alvarez Hernandez, M. Two-tailed asymptotic inferences for a proportion. Journal of Applied Statistics, 41, 7, 1516-1529

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 Basic methods of CI estimation: PlotciAS(), PlotciAllg(), PlotciAll(), PlotciBA(), PlotciEX(), PlotciLR(), PlotciLT(), PlotciSC(), PlotciTW(), PlotciWD(), ciAll(), ciBA(), ciEX(), ciLR(), ciLT(), ciSC(), ciTW(), ciWD()

Examples

n=5; alp=0.05
ciAS(n,alp)

RajeswaranV/proportion documentation built on June 17, 2022, 9:11 a.m.