Bayesian probability of agreement for comparing survival or reliability functions with parametric lifetime regression models

References

• Anderson-Cook, C. M., and C. M. Borror. 2016. The difference between “equivalent” and “not different.” Quality Engineering 28 (3):249–62. doi:10.1080/08982112.2015.1079918.
   Web of Science ®Google Scholar
• Brooks, S. P., and A. Gelman. 1998. General methods for monitoring convergence of iterative simulations. Journal of Computational and Graphical Statistics 7 (4):434–55. doi:10.2307/1390675.
   Web of Science ®Google Scholar
• Casella, G., and E. I. George. 1992. Explaining the Gibbs sampler. The American Statistician 46 (3):167–74. doi:10.2307/2685208.
   Web of Science ®Google Scholar
• Evert, S., and M. B. Baroni. 2013. R zipfr package. https://cran.r-project.org/package=zipfR
   Google Scholar
• Gelman, A., J. B. Carlin, H. S. Stern, D. B. Dunson, A. Vehtari, and D. B. Rubin. 2013. Bayesian data analysis. 3rd ed. London: Chapman and Hall/CRC.
   Google Scholar
• Harrington, D. P., and T. R. Fleming. 1982. A class of rank test procedures for censored survival data. Biometrika 69 (3):553–66. doi:10.1093/biomet/69.3.553.
   Web of Science ®Google Scholar
• Kruschke, J. K. 2011. Bayesian assessment of null values via parameter estimation and model comparison. Perspectives on Psychological Science 6 (3):299–312. doi:10.1177/1745691611406925.
   Web of Science ®Google Scholar
• Meeker, W., L. Escobar, and S. Zayac. 2003. Use of sensitivity analysis to assess the effect of model uncertainty in analyzing accelerated life test data. In Case studies in reliability and maintenance, ed. by W. R. Blischke and D. N. P. Murthy, 135–62. Hoboken, NJ: John Wiley & Sons Inc.
   Google Scholar
• Nelson, W. B. 2009. Accelerated testing: Statistical models, test plans, and data analysis. Vol. 344. Hoboken, NJ: John Wiley & Sons.
   Google Scholar
• Plummer, M. 2013. rjags: Bayesian graphical models using MCMC. R Package Version 3 (10). https://rdrr.io/cran/rjags/
   Google Scholar
• Plummer, M. 2003. JAGS: A program for analysis of Bayesian graphical models using Gibbs sampling. In Proceedings of the 3rd international workshop on distributed statistical computing, vol. 124, No. 125.10, 1–10.
   Google Scholar
• Richter, S. J., and C. Richter. 2002. A method for determining equivalence in industrial applications. Quality Engineering 14 (3):375–80. doi:10.1081/QEN-120001876.
   Google Scholar
• Rigdon, S. E., B. R. Englert, I. A. Lawson, C. M. Borror, D. C. Montgomery, and R. Pan. 2012. Experiments for reliability achievement. Quality Engineering 25 (1):54–72. doi:10.1080/08982112.2013.733611.
   Web of Science ®Google Scholar
• Spiegelhalter, D. J., N. G. Best, B. P. Carlin, and A. Van Der Linde. 2002. Bayesian measures of model complexity and fit. Journal of the Royal Statistical Society: Series B (Statistical Methodology) 64 (4):583–639. doi:10.1111/1467-9868.00353.
   Web of Science ®Google Scholar
• Stevens, N. T., and C. M. Anderson-Cook. 2019. Design and analysis of confirmation experiments. Journal of Quality Technology 51 (2):109–24. doi:10.1080/00224065.2019.1571344.
   Web of Science ®Google Scholar
• Stevens, N. T., and L. Lu. 2020. Comparing Kaplan-Meier curves with the probability of agreement. In preparation. Statistics in Medicine.
   Google Scholar
• Stevens, N. T., S. E. Rigdon, and C. M. Anderson-Cook. 2018. Bayesian probability of predictive agreement for comparing the outcome of two separate regressions. Quality and Reliability Engineering International 34 (6):968–78. doi:10.1002/qre.2284.
   Web of Science ®Google Scholar
• Stevens, N. T., S. E. Rigdon, and C. M. Anderson-Cook. 2020. Bayesian probability of agreement for comparing the similarity of response surfaces. Journal of Quality Technology 52 (1):67–80. doi:10.1080/00224065.2019.1569961.
   Web of Science ®Google Scholar
• Stevens, N. T., S. H. Steiner, and R. J. MacKay. 2017. Assessing agreement between two measurement systems: An alternative to the limits of agreement approach. Statistical Methods in Medical Research 26 (6):2487–504. doi:10.1177/0962280215601133.
   PubMed Web of Science ®Google Scholar
• Stevens, N. T., S. H. Steiner, and R. J. MacKay. 2018. Comparing heteroscedastic measurement systems with the probability of agreement. Statistical Methods in Medical Research 27 (11):3420–35. doi:10.1177/0962280217702540.
   PubMed Web of Science ®Google Scholar
• Szarka, J. L. III, 2014. Equivalence and noninferiority tests for quality, manufacturing and test engineers. Journal of Quality Technology 46 (4):378–80. doi:10.1080/00224065.2014.11917979.
   Google Scholar
• Therneau, T., and T. Lumley. 2013. R survival package. https://cran.r-project.org/package=survival
   Google Scholar
• Therneau, T. M., and S. A. Hamilton. 1997. rhdnase as an example of recurrent event analysis. Statistics in Medicine 16 (18):2029–47. doi:10.1002/(SICI)1097-0258(19970930)16:18<2029::AID-SIM637>3.0.CO;2-H.
   PubMed Web of Science ®Google Scholar
• Walker, E., and A. S. Nowacki. 2011. Understanding equivalence and noninferiority testing. Journal of General Internal Medicine 26 (2):192–6. doi:10.1007/s11606-010-1513-8.
   PubMed Web of Science ®Google Scholar
• Wellek, S. 2010. Testing statistical hypotheses of equivalence and noninferiority. London: Chapman and Hall/CRC.
   Google Scholar