Description Usage Arguments Details Value References See Also Examples

View source: R/201.CoverageProb_BASE_All.R

Coverage Probability of ArcSine method

1 | ```
covpAS(n, alp, a, b, t1, t2)
``` |

`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 |

Evaluation of Wald-type interval for the arcsine transformation of the parameter p using coverage probability, root mean square statistic, and the proportion of proportion lies within the desired level of coverage

A dataframe with

`mcpA` |
ArcSine Coverage Probability |

`micpA ` |
ArcSine 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 |

[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 Basic coverage probability methods: `PlotcovpAS`

,
`PlotcovpAll`

, `PlotcovpBA`

,
`PlotcovpEX`

, `PlotcovpLR`

,
`PlotcovpLT`

, `PlotcovpSC`

,
`PlotcovpTW`

, `PlotcovpWD`

,
`covpAll`

, `covpBA`

,
`covpEX`

, `covpLR`

,
`covpLT`

, `covpSC`

,
`covpTW`

, `covpWD`

1 2 | ```
n= 10; alp=0.05; a=1;b=1; t1=0.93;t2=0.97
covpAS(n,alp,a,b,t1,t2)
``` |

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