proportion (version 2.0.0)

lengthCAS: Expected Length summary of continuity corrected ArcSine method

Description

Expected Length summary of continuity corrected ArcSine method

Usage

lengthCAS(n, alp, c, a, b)

Arguments

n

- Number of trials

alp

- Alpha value (significance level required)

c

- Continuity correction

a

- Beta parameters for hypo "p"

b

- Beta parameters for hypo "p"

Value

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

Details

Evaluation of continuity corrected Wald-type interval for the arcsine transformation of the parameter p using sum of length of the \(n + 1\) intervals

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 Expected length of continuity corrected methods: PlotexplCAS, PlotexplCAll, PlotexplCLT, PlotexplCSC, PlotexplCTW, PlotexplCWD, PlotlengthCAS, PlotlengthCAll, PlotlengthCLT, PlotlengthCSC, PlotlengthCTW, PlotlengthCWD, lengthCAll, lengthCLT, lengthCSC, lengthCTW, lengthCWD

Examples

n= 10; alp=0.05; c=1/(2*n);a=1;b=1;
lengthCAS(n,alp,c,a,b)