Description Usage Arguments Details Value References See Also Examples

View source: R/103.ConfidenceIntervals_BASE_n_x.R

Bayesian method of CI estimation with Beta prior distribution

1 | ```
ciBAx(x, n, alp, a, b)
``` |

`x` |
- Number of sucess |

`n` |
- Number of trials |

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

`a` |
- Shape parameter 1 for prior Beta distribution in Bayesian model. Can also be a vector of length n+1 priors. |

`b` |
- Shape parameter 2 for prior Beta distribution in Bayesian model. Can also be a vector of length n+1 priors. |

Highest Probability Density (HPD) and two tailed intervals are
provided for the given `x`

and `n`

. based on the conjugate prior *β(a, b)*
for the probability of success `p`

of the binomial distribution so that the
posterior is *β(x + a, n - x + b)*.

A dataframe with

`x ` |
- Number of successes (positive samples) |

`LBAQx ` |
- Lower limits of Quantile based intervals |

`UBAQx ` |
- Upper limits of Quantile based intervals |

`LBAHx ` |
- Lower limits of HPD intervals |

`UBAHx ` |
- Upper limits of HPD intervals |

[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

`prop.test and binom.test`

for equivalent base Stats R functionality,
`binom.confint`

provides similar functionality for 11 methods,
`wald2ci`

which provides multiple functions for CI calculation ,
`binom.blaker.limits`

which calculates Blaker CI which is not covered here and
`propCI`

which provides similar functionality.

Other Base methods of CI estimation given x & n: `PlotciAllxg`

,
`PlotciAllx`

, `PlotciEXx`

,
`ciASx`

, `ciAllx`

,
`ciEXx`

, `ciLRx`

,
`ciLTx`

, `ciSCx`

,
`ciTWx`

, `ciWDx`

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