conf {conf}

conf: Visualization and Analysis of Statistical Measures of Confidence

Description

Enables:

1. confidence region plots in two-dimensions corresponding to a user given dataset, level of significance, and parametric probability distribution (supported distribution suffixes: cauchy, gamma, invgauss, lnorm, llogis, logis, norm, unif, weibull),

2. coverage simulations (if a point of interest is within or outside of a confidence region boundary) for either random samples drawn from a user-specified parametric distribution or for a user-specified dataset and point of interest,

3. calculating confidence intervals and the associated actual coverage for binomial proportions, and

4. calculating the support values and the probability mass function of the Kaplan-Meier product-limit estimator.

5. plotting the actual coverage function for a randomly right-censored data set with exponential failure times and exponential censoring times.

Request from authors: Please properly cite any use of this package and/or its algorithms, which are detailed in the corresponding publication by Weld et al. (2018) <doi:10.1080/00031305.2018.1564696>, Park and Leemis (2019) <doi:10.1002/sim.8189>, Feng et al. (2022) <doi:10.1007/s00180-021-01183-3>, and Qin et al. (2023) <doi:10.1080/00031305.2022.2070279>. Additionally, we welcome and appreciate your feedback and insights as to how this resource is being leveraged to improve whatever it is you do. Please include your name and academic and/or business affiliation in your correspondence.

Details

This package includes the functions:

• confidence intervals for binomial proportions: binomTest,

• actual coverage calculation for binomial proportions: binomTestCoverage,

• actual coverage plots for binomial proportions: binomTestCoveragePlot,

• ensemble confidence intervals for binomial proportions: binomTestEnsemble,

• minimum root mean square confidence intervals for binomial proportions: binomTestMSE,

• confidence region coverage analysis: coversim,

• confidence region plots: crplot,

• actual coverage plot and table: km.coverage,

• enumeration of Kaplan-Meier product-limit estimator outcomes: km.outcomes,

• probability mass function of the Kaplan-Meier product-limit estimator: km.pmf,

• Kaplan-Meier product-limit estimator support values: km.support, and

• probability mass functions of the Kaplan-Meier product-limit estimator: km.surv.

Vignettes

The CRAN website https://CRAN.R-project.org/package=conf contains links for vignettes on the crplot, coversim, km.outcomes, km.pmf, km.support, and km.surv functions.

Acknowledgments

The lead author thanks The Omar Bradley Fellowship for Research in Mathematics for funding that partially supported this work.

Author(s)

Christopher Weld, Kexin Feng, Hayeon Park, Yuxin Qin, Xingyu Wang, Heather Sasinowska, Larry Leemis

Maintainer: Christopher Weld <[e-mail]>