covpBA: Coverage Probability of Bayesian method

In proportion: Inference on Single Binomial Proportion and Bayesian Computations

Description

Coverage Probability of Bayesian method

Usage

covpBA(n, alp, a, b, t1, t2, a1, a2)

Arguments

n	- Number of trials
alp	- Alpha value (significance level required)
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
a1	- Beta Prior Parameters for Bayesian estimation
a2	- Beta Prior Parameters for Bayesian estimation

Details

Evaluation of Bayesian Highest Probability Density (HPD) and two tailed intervals using coverage probability, root mean square statistic, and the proportion of proportion lies within the desired level of coverage for the Beta - Binomial conjugate prior model for the probability of success p.

Value

A dataframe with

method	Both Quantile and HPD method results are returned
MeanCP	Coverage Probability
MinCP	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

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, covpEX, covpLR, covpLT, covpSC, covpTW, covpWD

Examples

## Not run: 
n= 10; alp=0.05; a=1;b=1; t1=0.93;t2=0.97;a1=1;a2=1
covpBA(n,alp,a,b,t1,t2,a1,a2)

## End(Not run)

Example output

    Method    MeanCP     MinCP     RMSE_N     RMSE_M   RMSE_MI     tol
1 Quantile 0.9505852 0.0000000 0.06709085 0.06708830 0.9529497 57.2400
2      HPD 0.9499163 0.8888213 0.02799052 0.02799839 0.9503286  0.4468

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