covpEX: Coverage Probability of Exact method

In proportion: Inference on Single Binomial Proportion and Bayesian Computations

Description

Coverage Probability of Exact method

Usage

covpEX(n, alp, e, a, b, t1, t2)

Arguments

n	- Number of trials
alp	- Alpha value (significance level required)
e	- Exact method indicator (1:Clop-Pear,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"
t1	- Lower tolerance limit to check the spread of coverage Probability
t2	- Upper tolerance limit to check the spread of coverage Probability

Details

Evaluation of Confidence interval for p based on inverting equal-tailed binomial tests with null hypothesis H0: p = p0 using coverage probability, root mean square statistic, and the proportion of proportion lies within the desired level of coverage.

Value

A dataframe with

mcpEX	Exact Coverage Probability
micpEX	Exact minimum coverage probability
RMSE_N	Root Mean Square Error from nominal size
RMSE_M	Root Mean Square Error for Coverage Probability
RMSE_MI	Root Mean Square Error for minimum coverage probability
tol	Required tolerance for coverage probability
e	- Exact method input

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

Other Basic coverage probability methods: PlotcovpAS, PlotcovpAll, PlotcovpBA, PlotcovpEX, PlotcovpLR, PlotcovpLT, PlotcovpSC, PlotcovpTW, PlotcovpWD, covpAS, covpAll, covpBA, covpLR, covpLT, covpSC, covpTW, covpWD

Examples

## Not run: 
n= 10; alp=0.05; e=0.5; a=1;b=1; t1=0.93;t2=0.97 # Mid-p
covpEX(n,alp,e,a,b,t1,t2)
n= 10; alp=0.05; e=1; a=1;b=1; t1=0.93;t2=0.97 #Clop-Pear
covpEX(n,alp,e,a,b,t1,t2)
n=5; alp=0.05;
e=c(0.1,0.5,0.95,1) #Range including Mid-p and Clopper-Pearson
a=1;b=1; t1=0.93;t2=0.97
covpEX(n,alp,e,a,b,t1,t2)

## End(Not run)

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