# ciTWx: Wald-T method of CI estimation In proportion: Inference on Single Binomial Proportion and Bayesian Computations

## Description

Wald-T method of CI estimation

## Usage

 1 ciTWx(x, n, alp) 

## Arguments

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

## Details

An approximate method based on a t_approximation of the standardized point estimator for the given x and n; that is the point estimator divided by its estimated standard error. Essential boundary modification is when x = 0 or n,

\hat{p}=\frac{(x+2)}{(n+4)}{phat=(x+2)/(n+4)}

## Value

A dataframe with

 x Number of successes (positive samples) LTWx  Wald-T Lower limit UTWx  Wald-T Upper Limit LABB  Wald-T Lower Abberation UABB  Wald-T Upper Abberation ZWI  Zero Width Interval

## References

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

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

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

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

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

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

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

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, ciLRx, ciLTx, ciSCx, ciWDx
 1 2 x=5; n=5; alp=0.05 ciTWx(x,n,alp)