Nonparametric Predictive Inference for Reproducibility of Basic Nonparametric Tests

References

• Aboalkhair, A. M. 2012. Nonparametric predictive inference for system reliability. PhD thesis, Durham University, Durham, UK. http://www.npi-statistics.com
   Google Scholar
• Altman, D. G., and P. Royston. 2000. What do we mean by validating a prognostic model? Stat. Med., 19, 453–473.
   PubMed Web of Science ®Google Scholar
• Arts, G. R. J., F. P. A. Coolen, and P. van der Laan. 2004. Nonparametric predictive inference in statistical process control. Qual. Technol. Quant. Manage., 1, 201–216.
   Google Scholar
• Arts, G. R. J., and F. P. A. Coolen. 2008. Two nonparametric predictive control charts. J. Stat. Theory Pract., 2, 499–512.
   Google Scholar
• Augustin, T., and F. P. A. Coolen. 2004. Nonparametric predictive inference and interval probability. J. Stat. Plan. Inference, 124, 251–272.
   Web of Science ®Google Scholar
• Begley, C. G., and L. M. Ellis. 2012. Raise standards for preclinical cancer research. Nature, 483, 531–533.
   PubMed Web of Science ®Google Scholar
• Boos, D. D., and L. A. Stefanski. 2011. P-value precision and reproducibility. Am. Stat., 65, 213–221.
   PubMed Web of Science ®Google Scholar
• Coolen, F. P. A. 1998. Low structure imprecise predictive inference for Bayes’ problem. Stat. Prob. Lett., 36, 349–357.
   Web of Science ®Google Scholar
• Coolen, F. P. A. 2006. On nonparametric predictive inference and objective Bayesianism. J. Logic Language Information, 15, 21–47.
   Google Scholar
• Coolen, F. P. A. 2008. On nonparametric predictive inference for Bernoulli quantities with set-valued data. In Soft methods for handling variability and imprecision, ed. D. Dubois, M. Asuncion Lubiana, H. Prade, M. Angeles Gil, P. Grzegorzewski, and O. Hryniewicz, 85–91. Berlin, Germany: Springer.
   Google Scholar
• Coolen, F. P. A. 2011. Nonparametric predictive inference. In International encyclopedia of statistical science, ed. M. Lovric, 968–970. Berlin, Germany: Springer.
   Google Scholar
• Coolen, F. P. A., and M. A. Elsaeiti. 2009. Nonparametric predictive methods for acceptance sampling. J. Stat. Theory Pract., 3, 907–921.
   Google Scholar
• Coolen, F. P. A., M. C. Troffaes, and T. Augustin. 2011. Imprecise probability. In International encyclopedia of statistical science, ed. M. Lovric, 645–648. Berlin, Germany: Springer.
   Google Scholar
• Coolen-Maturi, T., P. Coolen-Schrijner, and F. P. A. Coolen. 2012. Nonparametric predictive inference for binary diagnostic tests. J. Stat. Theory Pract., 6, 665–680.
   Google Scholar
• Coolen-Schrijner, P., T. A. Maturi, and F. P. A. Coolen. 2009. Nonparametric predictive precedence testing for two groups. J. Stat. Theory Pract., 3, 273–287.
   Google Scholar
• De Capitani, L., and D. De Martini. 2010. Reproducibility probability estimation and testing for the Wilcoxon rank-sum test. Rapporto di Ricerca 191, Dipartimento di Metodi Quantitativi per le Scienze Economiche ed Aziendali, Università degli studi di Milano-Bicocca, Milan, Italy.
   Google Scholar
• De Capitani, L., and D. De Martini. 2011. On stochastic orderings of the Wilcoxon rank sum test statistic—With applications to reproducibility probability estimation testing. Stat. Prob. Lett., 81, 937–946.
   Web of Science ®Google Scholar
• De Martini, D. 2008. Reproducibility probability estimation for testing statistical hypotheses. Stat. Prob. Lett., 78, 1056–1061.
   Web of Science ®Google Scholar
• Elkhafifi, F. F., and F. P. A. Coolen. 2012. Nonparametric predictive inference for accuracy of ordinal diagnostic tests. J. Stat. Theory Pract., 6, 681–697.
   Google Scholar
• Elsaeiti, M. A., and F. P. A. Coolen. 2012. A nonparametric predictive approach to sequential acceptance problems. J. Stat. Theory Pract., 6, 383–401.
   Google Scholar
• Gibbons, J. D., and S. Chakraborti. 2011. Nonparametric statistical inference, 5th ed. Boca Raton, FL: Chapman and Hall.
   Google Scholar
• Goodman, S. N. 1992. A comment on replication, p-values and evidence. Stat. Med., 11, 875–879.
   PubMed Web of Science ®Google Scholar
• Hill, B. M. 1968. Posterior distribution of percentiles: Bayes’ theorem for sampling from a population. J. Am. Stat. Assoc., 63, 677–691.
   Web of Science ®Google Scholar
• Hill, B. M. 1988. De Finetti’s theorem, induction, and A(n) or Bayesian nonparametric predictive inference (with discussion). In Bayesian statistics 3, ed. J. M. Bernardo et al., 211–241. New York, NY: Oxford University Press.
   Google Scholar
• Hollander, M., and D. A. Wolfe. 1999. Nonparametric statistical methods, 2nd ed. New York, NY: Wiley.
   Google Scholar
• Killeen, P. R. 2005. An alternative to null-hypothesis significance tests. Psychol. Sci., 16, 345–353.
   PubMed Web of Science ®Google Scholar
• Lawless, J. F., and M. Fredette. 2005. Frequentist prediction intervals and predictive distributions. Biometrika, 92, 529–542.
   Web of Science ®Google Scholar
• Lecoutre, B., M. P. Lecoutre, and J. Poitevineau. 2010. Killeen’s probability of replication and predictive probabilities: How to compute, use, and interpret them. Psychol. Methods, 15, 158–171.
   PubMed Web of Science ®Google Scholar
• Miller, J. 2009. What is the probability of replicating a statistically significant effect? Psychonomic Bull. Rev., 16, 617–640.
   PubMed Web of Science ®Google Scholar
• Posavac, E. J. 2002. Using p values to estimate the probability of a statistically significant replication. Understand. Stat., 1, 101–112.
   Google Scholar
• Senn, S. 2002. Comment on ‘A comment on replication, p-values and evidence’, by S.N. Goodman (Letter to the editor). Stat. Med., 21, 2437–2444. Author’s reply, 2445–2447.
   PubMed Web of Science ®Google Scholar
• Shao, J., and S. C. Chow. 2002. Reproducibility probability in clinical trials. Stat. Med., 21, 1727–1742.
   PubMed Web of Science ®Google Scholar
• Walley, P. 1991. Statistical reasoning with imprecise probabilities. London, UK: Chapman and Hall.
   Google Scholar