We published an accompanying paper to illustrate the use of p-value functions:
Infanger D, Schmidt-Trucksäss A. (2019): P value functions: An underused method to present research results and to promote quantitative reasoning. Statistics in Medicine. 38: 4189-4197. doi: 10.1002/sim.8293.
The code and instructions to reproduce all graphics in our paper can be found in the following GitHub repository: https://github.com/DInfanger/pvalue_functions
This is the repository for the R-package pvaluefunctions. The package contains R functions to create graphics of p-value functions, confidence distributions, confidence densities, or the Surprisal value (S-value) (Greenland 2019).
You can install the package directly from CRAN by typing install.packages("pvaluefunctions"). After installation, load it in R using library(pvaluefunctions).
The function depends on the following R packages, which need to be installed beforehand:
Use the command install.packages(c("ggplot2", "scales", "zipfR", "pracma", "gsl")) in R to install those packages.
For more examples and code, see the vignette.
Bender R, Berg G, Zeeb H. (2005): Tutorial: using confidence curves in medical research. Biom J. 47(2): 237-47.
Berrar D (2017): Confidence Curves: an alternative to null hypothesis significance testing for the comparison of classifiers. Mach Learn. 106:911-949.
Fraser D. A. S. (2019): The p-value function and statistical inference. Am Stat. 73:sup1, 135-147.
Greenland S (2019): Valid P-Values Behave Exactly as They Should: Some Misleading Criticisms of P-Values and Their Resolution with S-Values. Am Stat. 73sup1, 106-114.
Infanger D, Schmidt-Trucksäss A. (2019): P value functions: An underused method to present research results and to promote quantitative reasoning. Stat Med. 38, 4189-4197. doi: 10.1002/sim.8293.
Poole C. (1987a): Beyond the confidence interval. Am J Public Health. 77(2): 195-9.
Poole C. (1987b): Confidence intervals exclude nothing. Am J Public Health. 77(4): 492-3.
Rafi Z, Greenland S. (2020): Semantic and cognitive tools to aid statistical science: replace confidence and significance by compatibility and surprise. BMC Med Res Methodol. 20, 244. doi: 10.1186/s12874-020-01105-9.
Rosenthal R, Rubin DB. (1994): The counternull value of an effect size: A new statistic. Psychol Sci. 5(6): 329-34.
Schweder T, Hjort NL. (2016): Confidence, likelihood, probability: statistical inference with confidence distributions. New York, NY: Cambridge University Press.
Xie M, Singh K, Strawderman WE. (2011): Confidence Distributions and a Unifying Framework for Meta-Analysis. J Am Stat Assoc. 106(493): 320-33. doi: 10.1198/jasa.2011.tm09803.
Xie Mg, Singh K. (2013): Confidence distribution, the frequentist distribution estimator of a parameter: A review. Internat Statist Rev. 81(1): 3-39.
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