References
- Bartlett, M. S. (1957), “A Comment on D.V. Lindley’s Statistical Paradox,” Biometrika, 44, 533–534. DOI: 10.1093/biomet/44.3-4.533.
- Benjamin, D. J., Berger, J. O., Johannesson, M., Nosek, B. A., Wagenmakers, E.-J., Berk, R. Bollen, K. A., Brembs, B., Brown, L., Camerer, C., et al. (2017), “Redefine Statistical Significance,” in PsyRxiv, available https://psyarxiv.com/mky9j/
- Benjamini, Y. A., and Hochberg, Y. (1995), “Controlling the False Discovery Rate: A Practical and Powerful Approach to Multiple Testing,” Journal of the Royal Statistical Society, Series B, 57, 289–300, available at http://www.math.tau.ac.il/∼ybenja/MyPapers/benjamini_hochberg1995.pdf DOI: 10.1111/j.2517-6161.1995.tb02031.x.
- Berger, J. O., and Delampady, M. (1987), “Testing Precise Hypotheses,” Statistical Science, 2, 317–352. DOI: 10.1214/ss/1177013238.
- Berger, J. O., and Sellke, T. (1987), “Testing A Point Null Hypothesis – the Irreconcilability of P-Values and Evidence,” Journal of the American Statistical Association, 82, 112–122. DOI: 10.2307/2289131.
- Carlin, B. P., and Louis, T. A. (1996), “Identifying Prior Distributions that Produce Specific Decisions, with Application to Monitoring Clinical Trials,” in Bayesian Analysis in Statistics and Econometrics: Essays in Honor of Arnold Zellner, eds. D. Berry, Chaloner and J. Geweke, New York: Wiley, pp. 493–503.
- Colquhoun, D. (1971) Lectures on Biostatistics, London, UK: Oxford University Press, available at http://www.dcscience.net/Lectures\_on\_biostatistics-ocr4.pdf.
- Colquhoun, D. (2014), “An Investigation of the False Discovery Rate and the Misinterpretation of p-values,” Royal Society Open Science, 1, 140216, available http://rsos.royalsocietypublishing.org/content/1/3/140216
- Colquhoun, D. (2015), “The Perils of p-values,” Chalkdust Magazine, available at http://chalkdustmagazine.com/features/the-perils-of-p-values/
- Colquhoun, D. (2016), “The Problem with p-values,” Aeon Magazine, available at https://aeon.co/essays/it-s-time-for-science-to-abandon-the-term-statistically-significant
- Colquhoun, D. (2017), “The Reproducibility of Research and the Misinterpretation of P Values,” Royal Society Open Science, 4, 171085, available at http://rsos.royalsocietypublishing.org/content/4/12/171085.
- Colquhoun, D. (2018), “The False Positive Risk: A Proposal Concerning What to Do About p-values (version 2),” available at https://www.youtube.com/watch?v=jZWgijUnIxI
- Colquhoun, D., and Longstaff, C. (2017), “False Positive Risk Calculator”, available http://fpr-calc.ucl.ac.uk/
- Curtis, M. J., Bond, R. A., Spina, D., Ahluwalia, A., Alexander, S. P. A., Giembycz, M. A., Gilchrist, A., Hoyer, D., Insel, P. A., Izzo, A. A., et al. (2014), “Experimental Design and Analysis and their Reporting: New Guidance for Publication in BJP,” British Pharmacological Society, available at http://onlinelibrary.wiley.com/doi/10.1111/bph.12856/full
- Cushny, A. R., & Peebles, A. R. (1905), “The Action of Optical Isomers: II. Hyoscines,” The Journal of Physiology, 32, 501–510, available at https://physoc.onlinelibrary.wiley.com/doi/abs/10.1113/jphysiol.1905.sp001097 DOI: 10.1113/jphysiol.1905.sp001097.
- Gigerenzer, G., Krauss, S., & Vitouch, O. (2004), “The Null Ritual. What You Always Wanted to Know About Significance Testing but Were Afraid to Ask,” in ed. D. Kaplan, The Sage Handbook of Quantitative Methodology for the Social Sciences, Thousand Oaks, CA: Sage Publishing, pp. 391–408.
- Good, I. J. (1950), Probability and the Weighing of Evidence, London: Charles Griffin and Co. Ltd.
- Goodman, S. N. (1993), “p Values, Hypothesis Tests, and Likelihood: Implications for Epidemiology of a Neglected Historical Debate,” American Journal of Epidemiology, 137, 485–496. DOI: 10.1093/oxfordjournals.aje.a116700.
- Goodman, S. N. (1999a), “Toward Evidence-based Medical Statistics. 1: The P value Fallacy,” Annals of Internal Medicine, 130, 995–1004.
- Goodman, S. N. (1999b), “Toward Evidence-based Medical Statistics. 2: The Bayes Factor,” Annals of Internal Medicine, 130, 1005–1013.
- Lennox, K. (2016), “All About that Bayes: Probability, Statistics, and the Quest to Quantify Uncertainty,” available at https://www.youtube.com/watch?v=eDMGDhyDxuY
- Lindley, D. V. (1957), “A Statistical Paradox,” Biometrika, 44, 187–192. DOI: 10.1093/biomet/44.1-2.187.
- Held, L. (2013), “Reverse-Bayes Analysis of Two Common Misinterpretations of Significance Tests,” Clinical Trials (London, England), 10, 236–242. DOI: 10.1177/1740774512468807.
- Held, L., and Ott, M. (2018), “On p-Values and Bayes Factors,” Annual Review of Statistics and Its Application, 5, 393–419 DOI: 10.1146/annurev-statistics-031017-100307.
- Johnson, V. E. (2013a), “Revised Standards for Statistical Evidence,” Proceedings of the National Academy of Sciences of the United States of America, 110, 19313–19317. DOI: 10.1073/pnas.1313476110.
- Johnson, V. E. (2013b), “Uniformly Most Powerful Bayesian Tests,” The Annals of Statistics, 41, 1716–1741. [2]
- Johnson, V. E. (2018), “Beyond ‘Significance’: Principles and Practice of the Analysis of Credibility,” Royal Society Open Science, 5, 171047, available http://rsos.royalsocietypublishing.org/content/5/1/171047
- Matthews, R. A. J. (2001), “Why Should Clinicians Care About Bayesian Methods?,” Journal of Statistical Planning and Inference, 94, 43–58.
- Sellke, T., Bayarri, M. J., and Berger, J. O. (2001), “Calibration of p Values for Testing Precise Null Hypotheses,” The American Statistician, 55, 62–71. DOI: 10.1198/000313001300339950.
- Senn, S. J. (2015), “Double Jeopardy?: Judge Jeffreys Upholds the Law (Sequel to the Pathetic P-value),” in Error Statistics Philosophy, available at https://errorstatistics.com/2015/05/09/stephen-senn-double-jeopardy-judge-jeffreys-upholds-the-law-guest-post/2017
- Student (1908), “The Probable Error of a Mean,” Biometrika, 6, 1–25.
- Wacholder, S., Chanock, S., Garcia-Closas, M., El, G. L., and Rothman, N. (2004), “Assessing the Probability that a Positive Report is False: An Approach for Molecular Epidemiology Studies,” Journal of the National Cancer Institute, 96, 434–442. DOI: 10.1093/jnci/djh075.
- Wang, J. X., Rogers, L. M., Gross, E. Z., Ryals, A. J., Dokucu, M. E., Brandstatt, K. L., Hermiller, M. S., and Voss, J. L. (2014), “Targeted Enhancement of Cortical-hippocampal Brain Networks and Associative Memory,” Science, 345, 1054–1057. DOI: 10.1126/science.1252900.
- Wasserstein, R. L., and Lazar, N. A. (2016), “The ASA’s Statement on p-Values: Context, Process, and Purpose,” The American Statistician, 70, 129–133. DOI: 10.1080/00031305.2016.1154108.