covpCTW: Coverage Probability of Continuity corrected Wald-T method

In RajeswaranV/proportion: Inference on Single Binomial Proportion and Bayesian Computations

Coverage Probability of Continuity corrected Wald-T method

Description

Coverage Probability of Continuity corrected Wald-T method

Usage

covpCTW(n, alp, c, a, b, t1, t2)

Arguments

n	- Number of trials
alp	- Alpha value (significance level required)
c	- Continiuty correction
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 approximate and continuity corrected method based on a t_approximation of the standardized point estimator using coverage probability, root mean square statistic, and the proportion of proportion lies within the desired level of coverage

Value

A dataframe with

mcpATW	Continuity corrected Wald-T Coverage Probability
micpATW	Continuity corrected Wald-T 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] 1998 Agresti A and Coull BA. Approximate is better than "Exact" for interval estimation of binomial proportions. The American Statistician: 52; 119 - 126.

[2] 1998 Newcombe RG. Two-sided confidence intervals for the single proportion: Comparison of seven methods. Statistics in Medicine: 17; 857 - 872.

[3] 2008 Pires, A.M., Amado, C. Interval Estimators for a Binomial Proportion: Comparison of Twenty Methods. REVSTAT - Statistical Journal, 6, 165-197.

See Also

Other Coverage probability for continuity corrected methods: PlotcovpCAS(), PlotcovpCAll(), PlotcovpCLT(), PlotcovpCSC(), PlotcovpCTW(), PlotcovpCWD(), covpCAS(), covpCAll(), covpCLT(), covpCSC(), covpCWD()

Examples

n= 10; alp=0.05; c=1/(2*n);a=1;b=1; t1=0.93;t2=0.97
covpCTW(n,alp,c,a,b,t1,t2)

RajeswaranV/proportion documentation built on June 17, 2022, 9:11 a.m.