lengthEX: Expected length and sum of length of Exact method
In proportion: Inference on Single Binomial Proportion and Bayesian Computations

Description Usage Arguments Details Value References See Also Examples

View source: R/301.Expec_Leng_BASE_All.R

Expected length and sum of length of Exact method

1	lengthEX(n, alp, e, a, b)

`n`	- Number of trials
`alp`	- Alpha value (significance level required)
`e`	- Exact method indicator in [0, 1] 1: Clopper Pearson, 0.5: Mid P The input can also be a range of values between 0 and 1.
`a`	- Beta parameters for hypo "p"
`b`	- Beta parameters for hypo "p"

Evaluation of Confidence interval for p based on inverting equal-tailed binomial tests with null hypothesis H0: p = p0 using sum of length of the n + 1 intervals.

A dataframe with

`sumLen`	The sum of the expected length
`explMean`	The mean of the expected length
`explSD`	The Standard Deviation of the expected length
`explMax`	The max of the expected length
`explLL`	The Lower limit of the expected length calculated using mean - SD
`explUL`	The Upper limit of the expected length calculated using mean + SD

[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

Other Expected length of base methods: PlotexplAS, PlotexplAll, PlotexplBA, PlotexplEX, PlotexplLR, PlotexplLT, PlotexplSC, PlotexplTW, PlotexplWD, PlotlengthAS, PlotlengthAll, PlotlengthBA, PlotlengthEX, PlotlengthLR, PlotlengthLT, PlotlengthSC, PlotlengthTW, PlotlengthWD, lengthAS, lengthAll, lengthBA, lengthLR, lengthLT, lengthSC, lengthTW, lengthWD

## Not run: 
n=5; alp=0.05;e=0.5;a=1;b=1
lengthEX(n,alp,e,a,b)
n=5; alp=0.05;e=1;a=1;b=1 #Clopper-Pearson
lengthEX(n,alp,e,a,b)
n=5; alp=0.05;e=c(0.1,0.5,0.95,1);a=1;b=1 #Range including Mid-p and Clopper-Pearson
lengthEX(n,alp,e,a,b)

## End(Not run)