Description Usage Arguments Details Value References See Also Examples

View source: R/301.Expec_Leng_BASE_All.R

Expected length and sum of length of Exact method

1 | ```
lengthEX(n, alp, e, a, b)
``` |

`n` |
- Number of trials |

`alp` |
- Alpha value (significance level required) |

`e` |
- Exact method indicator in [0, 1] 1: Clopper Pearson, 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" |

Evaluation of Confidence interval for `p`

based on inverting equal-tailed
binomial tests with null hypothesis *H0: p = p0* using sum of length of the *n + 1* intervals.

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 |

[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 Expected length of base methods: `PlotexplAS`

,
`PlotexplAll`

, `PlotexplBA`

,
`PlotexplEX`

, `PlotexplLR`

,
`PlotexplLT`

, `PlotexplSC`

,
`PlotexplTW`

, `PlotexplWD`

,
`PlotlengthAS`

, `PlotlengthAll`

,
`PlotlengthBA`

, `PlotlengthEX`

,
`PlotlengthLR`

, `PlotlengthLT`

,
`PlotlengthSC`

, `PlotlengthTW`

,
`PlotlengthWD`

, `lengthAS`

,
`lengthAll`

, `lengthBA`

,
`lengthLR`

, `lengthLT`

,
`lengthSC`

, `lengthTW`

,
`lengthWD`

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