Philosophical or Empirical Incommensurability of Frequentist Versus Bayesian Thinking

Andersson, G. B. (1991). Epidemiology of spinal disorders. In J. Frymoyer (Ed.), The adult spine: Principles and practice (pp. 107-146). New York, NY: Raven Press. Search in Google Scholar

Baggott, J. (2015). Origins: The scientific story of creation. Oxford, UK: Oxford University Press. Search in Google Scholar

Berk, R. A., and Freedman, D. A. (2003). Statistical assumptions as empirical commitments. In T. G. Blomberg and S. Cohen (Eds). Law, punishment, and social control: Essays in honor of Sheldon Messinger (2^nd Ed, pp. 235-254). Aldine de Gruyter. Search in Google Scholar

Boos, N., Rieder, R., Schade, V., Spratt, K. F., Semmer, N., and Aebi, M. (1995). The diagnostic accuracy of magnetic resonance imaging, work perception, and psychosocial factors in identifying symptomatic disc herniations. Spine, 20, 2613-2625. http://dx.doi.org/10.1097/00007632-199512150-0000210.1097/00007632-199512150-00002 Search in Google Scholar

Borenstein, D. G., Wiesel, D. G., and Boden, S. D. (1995). Low back pain-medical diagnosis and comprehensive management (2nd ed.). Philadelphia, PA: WB Saunders. Search in Google Scholar

Box, G. E. P., and Draper, N. R. (1987). Empirical model-building and response surfaces. New York: John Wiley & Sons. Search in Google Scholar

Bradley, M. T., and Brand, A. (2016). Significance testing needs a taxonomy: Or how the Fisher, Neyman-Pearson controversy resulted in the inferential tail wagging the measurement dog. Psychological Reports, 119(2), 487-504. doi: 10.1177/003329411666265910.1177/0033294116662659 Search in Google Scholar

Briggs, W. (2016). Uncertainty: The soul of modeling, probability and statistics. New York: Springer.10.1007/978-3-319-39756-6 Search in Google Scholar

Briggs, W. (2019). Everything wrong with p-values under one roof. In V. Kreinovich, N. N. Thach, N. D. Trung, and D. Van Thanh (Eds.), Beyond traditional probabilistic methods in econometrics (pp. 22-44). Cham, Switzerland: Springer. Search in Google Scholar

Cohen, J. (1994). The earth is round (p <.05). American Psychologist, 49(12), 997-1003. doi: 10.1037/0003-066X.49.12.99710.1037/0003-066X.49.12.997 Search in Google Scholar

Cohen, J. (1997). The earth is round (p < .05). In L. L. Harlow, S. A. Mulaik, and J. H. Steiger (Eds.), What if there were no significance tests? (pp. 21-36). Hillsdale, NJ: Erlbaum. Search in Google Scholar

Frymoyer, J. W. (1988). Epidemiology. In J. W. Frymoyer, and S. L. Gordon (Eds.), New perspectives on low back pain (pp. 19-33) (Symposium, Workshop, Airlie). Chicago, IL: American Academy of Orthopedic Surgeons. Search in Google Scholar

Gillies, D. (2000). Philosophical theories of probability. London: Taylor and Francis. Search in Google Scholar

Godfrey-Smith P. (2003). Theory and reality: An introduction to the philosophy of science. Chicago: The University of Chicago Press.10.7208/chicago/9780226300610.001.0001 Search in Google Scholar

Greenland, S. (2017). Invited commentary: The need for cognitive science in methodology. American Journal of Epidemiology, 186, 639-645. doi: 10.1093/aje/kwx25910.1093/aje/kwx259 Search in Google Scholar

Grice, J. W. (2017). Comment on Locascio’s results blind manuscript evaluation proposal. Basic and Applied Social Psychology, 39(5), 254-255. https://doi.org/10.1080/01973533.2017.135250510.1080/01973533.2017.1352505 Search in Google Scholar

Halsey, L. G., Curran-Everett, D., Vowler, S. L., and Drummond, G. B. (2015). The fickle P value generates irreproducible results. Nature Methods, 12, 179-185. doi:10.1038/nmeth.328810.1038/nmeth.3288 Search in Google Scholar

Hubbard, R. (2016). Corrupt research: The case for reconceptualizing empirical management and social science. Los Angeles, California: Sage Publications. Search in Google Scholar

Hyman, M. (2017). Can ‘results blind manuscript evaluation’ assuage ‘publication bias’? Basic and Applied Social Psychology, 39(5), 247-251. https://doi.org/10.1080/01973533.2017.135058110.1080/01973533.2017.1350581 Search in Google Scholar

Jensen, M. C., Brant-Zawadzki, M. N., Obuchowski, N., Modic, M. T., Malkasian, D., and Ross, J. S. (1994). Magnetic resonance imaging of the lumbar spine in people without back pain. New England Journal of Medicine, 331, 69-73. http://dx.doi.org/10.1056/NEJM19940714331020110.1056/NEJM199407143310201 Search in Google Scholar

Lawrence, R. C., Feseon, D. T., Helmick, C. G., Arnold, L. M., Choi, H., Deyo, R. A., … Wolfe, F. (2008). Estimates of the prevalence of arthritis and other rheumatic conditions in the United States Part II. Arthritis & Rheumatism, 58, 26-35.10.1002/art.23176 Search in Google Scholar

Li, H., Trafimow, D., Wang, T., Wang, C., and Hu, L. (2020). User-friendly computer programs so econometricians can run the a priori procedure. Frontiers in Management and Business, 1(1), 2-6. doi: 10.25082/FMB.2020.01.00210.25082/FMB.2020.01.002 Search in Google Scholar

Kline, R. (2017). Comment on Locascio, results blind science publishing. Basic and Applied Social Psychology, 39(5), 256-257. https://doi.org/10.1080/01973533.2017.135530810.1080/01973533.2017.1355308 Search in Google Scholar

Lakatos, I. (1978). The methodology of scientific research programmes. Cambridge, England: Cambridge University Press.10.1017/CBO9780511621123 Search in Google Scholar

Locascio, J. (2017a). Results blind publishing. Basic and Applied Social Psychology. 39(5), 239-246. https://doi.org/10.1080/01973533.2017.133609310.1080/01973533.2017.1336093 Search in Google Scholar

Locascio, J. (2017b). Rejoinder to responses to “results blind publishing.” Basic and Applied Social Psychology. 39(5), 258-261. https://doi.org/10.1080/01973533.2017.135630510.1080/01973533.2017.1356305 Search in Google Scholar

Marks, M. J. (2017). Commentary on Locascio 2017. Basic and Applied Social Psychology. 39(5), 252--253. https://doi.org/10.1080/01973533.2017.135058010.1080/01973533.2017.1350580 Search in Google Scholar

McShane, B. B., Gal, D., Gelman, A., Robert, C., and Tackett, J. L. (2018). Abandon statistical significance. arXiv preprint arXiv:1709.07588. Search in Google Scholar

Nickerson, R. S. (2000). Null hypothesis significance testing: A review of an old and continuing controversy. Psychological Methods, 5(2), 241-301. doi: I0.1037//1082-989X.S.2.24110.1037/1082-989X.5.2.241 Search in Google Scholar

Open Science Collaboration. (2015). Estimating the reproducibility of psychological science. Science, 349(6251). doi: 10.1126/science.aac471610.1126/science.aac4716 Search in Google Scholar

Popper, K. R. (1983). Realism and the aim of science. London: Routledge. Search in Google Scholar

Stigler, S. M. (1990). The history of statistics: The measurement of uncertainty before 1900. Cambridge, Massachusetts: The Belknap Press of Harvard University Press. Search in Google Scholar

Trafimow, D. (2003). Hypothesis testing and theory evaluation at the boundaries: Surprising insights from Bayes’s theorem. Psychological Review, 110(3), 526-535. doi: 10.1037/0033-295X.110.3.52610.1037/0033-295X.110.3.526 Search in Google Scholar

Trafimow, D. (2006). Using epistemic ratios to evaluate hypotheses: An imprecision penalty for imprecise hypotheses. Genetic, Social, and General Psychology Monographs, 132, 431-462. doi: 10.3200/MONO.132.4.431-46210.3200/MONO.132.4.431-462 Search in Google Scholar

Trafimow, D. (2019a). A frequentist alternative to significance testing, p-values, and confidence intervals. Econometrics, 7(2), 1-14. https://www.mdpi.com/2225-1146/7/2/2610.3390/econometrics7020026 Search in Google Scholar

Trafimow, D. (2019b). A taxonomy of model assumptions on which P is based and implications for added benefit in the sciences. International Journal of Social Research Methodology, 22(6), 571-583. doi: 10.1080/13645579.2019.161059210.1080/13645579.2019.1610592 Search in Google Scholar

Trafimow, D. (2020). Our intellectual children: Kuhnian ants or Feyerabendian questioners? Advances in Educational Research and Evaluation, 1(2), 88-92. doi: 10.25082/AERE.2020.02.00510.25082/AERE.2020.02.005 Search in Google Scholar

Trafimow, D., and Marks, M. (2015). Editorial. Basic and Applied Social Psychology, 37(1), 1-2. http://www.tandfonline.com/doi/full/10.1080/01973533.2015.101299110.1080/01973533.2015.1012991 Search in Google Scholar

Trafimow, D., and Marks, M. (2016). Editorial. Basic and Applied Social Psychology, 38(1), 1-2. doi: 10.1080/01973533.2016.114103010.1080/01973533.2016.1141030 Search in Google Scholar

Trafimow, D., and Trafimow, J. H. (2016). The shocking implications of Bayes’ theorem for diagnosing herniated nucleus pulposus based on MRI scans. Cogent Medicine, 3: 1133270. doi: 10.1080/2331205X.2015.113327010.1080/2331205X.2015.1133270 Search in Google Scholar

Valentine, J. C., Aloe, A. M., and Lau, T. S. (2015). Life after NHST: How to describe your data without “p-ing” everywhere. Basic and Applied Social Psychology, 37(5), 260-273. http://dx.doi.org/10.1080/01973533.2015.106024010.1080/01973533.2015.1060240 Search in Google Scholar

Wasserstein, R. L., and Lazar, N. A. (2016). The ASA’s statement on p-values: context, process, and purpose. The American Statistician, 70(2). doi:10.1080/00031305.2016.115410810.1080/00031305.2016.1154108 Search in Google Scholar

Wei, Z., Wang, T., Trafimow, D., and Talordphop, K. (2020). Extending the a priori procedure to normal Bayes models. International Journal of Intelligent Technologies and Applied Statistics, 13(2), 169-183. doi: 10.6148/IJITAS.202006_13(2).0004 Search in Google Scholar

Ziliak, S. T., and McCloskey, D. N. (2016). The cult of statistical significance: How the standard error costs us jobs, justice, and lives. Ann Arbor, Michigan: The University of Michigan Press. Search in Google Scholar