ciLRx: Likelihood Ratio method of CI estimation

In proportion: Inference on Single Binomial Proportion and Bayesian Computations

Description

Likelihood Ratio method of CI estimation

Usage

ciLRx(x, n, alp)

Arguments

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

Details

Likelihood ratio limits for the given x and n obtained as the solution to the equation in p formed as logarithm of ratio between binomial likelihood at sample proportion and that of over all possible parameters

Value

A dataframe with

x	- Number of successes (positive samples)
LLRx	- Likelihood Ratio Lower limit
ULRx	- Likelihood Ratio Upper Limit
LABB	- Likelihood Ratio Lower Abberation
UABB	- Likelihood Ratio 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 Base methods of CI estimation given x & n: PlotciAllxg, PlotciAllx, PlotciEXx, ciASx, ciAllx, ciBAx, ciEXx, ciLTx, ciSCx, ciTWx, ciWDx

Examples

x=5; n=5; alp=0.05
ciLRx(x,n,alp)

Example output

  x      LLRx      ULRx LABB UABB ZWI
1 5 0.6810021 0.9999591   NO   NO  NO

proportion documentation built on May 1, 2019, 7:54 p.m.