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Hansen, Spencer; Rice, Ken

Coherent tests for interval null hypotheses. (English) Zbl 07699829

Am. Stat. 77, No. 1, 20-28 (2023).

Cited in 2 Documents

MSC:

62-XX Statistics

Keywords:

Bayesian methods; decision theory; foundational issues; testing
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Full Text: DOI

References:

[1] Barnett, V., Comparative Statistical Inference, 522) (1999), Chichester: Wiley, Chichester · Zbl 0928.62001
[2] Bayarri, M. J.; Berger, J. O., “The Interplay of Bayesian and Frequentist Analysis, Statistical Science, 19, 58-80 (2004) · Zbl 1062.62001 · doi:10.1214/088342304000000116
[3] Benjamini, Y.; De Veaux, R.; Efron, B.; Evans, S.; Glickman, M.; Graubard, B. I.; He, X.; Meng, X. L.; Reid, N.; Stigler, S. M.; Vardeman, S. B.; Wikle, C. K.; Wright, T.; Young, L. J.; Kafader, K., “ASA President’s Task Force Statement on Statistical Significance and Replicability,”, Annals of Applied Statistics, 15, 1084-1085 (2021) · Zbl 1478.62008
[4] Bickel, D. R.; Patriota, A. G., “Self-Consistent Confidence Sets and Tests of Composite Hypothesis Applicable to Restricted Parameters, Bernoulli, 25, 47-74 (2019) · Zbl 1512.62030 · doi:10.3150/17-BEJ942
[5] Butler, J. S.; Jones, P., “Theoretical and Empirical Distributions of the p value, Metron, 76, 1-30 (2018) · Zbl 1416.62040 · doi:10.1007/s40300-017-0130-2
[6] Casella, G.; Berger, R. L., Statistical Inference (2002), Pacific Grove, CA: Duxury, Pacific Grove, CA
[7] da Silva, G. M.; Esteves, L. G.; Fossaluza, V.; Izbicki, R.; Wechsler, S., “A Bayesian Decision-Theoretic Approach to Logically-Consistent Hypothesis Testing, Entropy, 17, 6534-6559 (2015) · Zbl 1338.62029 · doi:10.3390/e17106534
[8] Esteves, L. G.; Izbicki, R.; Stern, J. M.; Stern, R. B., “The Logical Consistency of Simultaneous Agnostic Hypothesis Tests, Entropy, 18, 1-22 (2016) · doi:10.3390/e18070256
[9] Fossaluza, V.; Izbicki, R.; da Silva, G. M.; Esteves, L. G., “Coherent Hypothesis Testing, The American Statistician, 71, 242-248 (2017) · Zbl 07687907 · doi:10.1080/00031305.2016.1237893
[10] Gabriel, K. R., “Simultaneous Test Procedures—Some Theory of Multiple Comparisons, The Annals of Mathematical Statistics, 40, 224-250 (1969) · Zbl 0198.23602 · doi:10.1214/aoms/1177697819
[11] Grandhi, A.; Guo, W.; Romano, J. P., “Control of Directional Errors in Fixed Sequence Multiple Testing, Statistica Sinica, 29, 1047-1064 (2019) · Zbl 1426.62217 · doi:10.5705/ss.202017.0072
[12] Hubbard, R.; Bayarri, M. J., “Confusion Over Measures of Evidence (p’s) versus Errors (α’s) in Classical Statistical Testing, The American Statistician, 57, 171-178 (2003) · doi:10.1198/0003130031856
[13] Hwang, J. T.; Casella, G.; Robert, C.; Wells, M. T.; Farrell, R. H., “Estimation of Accuracy in Testing, The Annals of Statistics, 20, 490-509 (1992) · Zbl 0761.62022 · doi:10.1214/aos/1176348534
[14] Izbicki, R.; Esteves, L. G., “Logical Consistency in Simultaneous Statistical Test Procedures, Logic Journal of the IGPL, 23, 732-758 (2015) · Zbl 1405.62105 · doi:10.1093/jigpal/jzv027
[15] Kim, J. H.; Robinson, A. P., “Interval-based Hypothesis Testing and its Applications to Economics and Finance, Econometrics, 7, 21 (2019) · doi:10.3390/econometrics7020021
[16] Krakauer, C.; Rice, K., “Discussion of ‘Testing by Betting: A Strategy for Statistical and Scientific Communication’ by Glenn Shafer, Journal of the Royal Statistical Society, Series A, 184, 452-453 (2021) · doi:10.1111/rssa.12660
[17] Lindley, D. V., “Theory and Practice of Bayesian Statistics, Journal of the Royal Statistical Society, Series D, 32, 1-11 (1983) · doi:10.2307/2987587
[18] Lindley, D. V., “The Philosophy of Statistics, Journal of the Royal Statistical Society, Series D, 49, 293-337 (2000) · doi:10.1111/1467-9884.00238
[19] Murphy, K.; Myors, B., “Testing the Hypothesis that Treatments have Negligible Effects: Minimum-Effect Tests in the General Linear Model, Journal of Applied Psychology, 84, 234-248 (1999) · doi:10.1037/0021-9010.84.2.234
[20] Neyman, J., First Course in Probability and Statistics (1950), New York: Henry Holt and Company, New York · Zbl 0054.05603
[21] Parmigiani, G.; Inoue, L., Decision Theory: Principles and Approaches (2009), Chichester: Wiley, Chichester · Zbl 1178.62004
[22] Patriota, A. G., “A Classical Measure of Evidence for General Null Hypotheses, Fuzzy Sets and Systems, 223, 74-78 (2013) · Zbl 1314.62068 · doi:10.1016/j.fss.2013.03.007
[23] Pereira, C. A. D. B.; Stern, J. M., “Evidence and Credibility: Full Bayesian Significance Test for Precise Hypothesis, Entropy, 1, 99-110 (1999) · Zbl 0993.62028 · doi:10.3390/e1040099
[24] Peskun, P. H., “Two-Tailed p-values and Coherent Measures of Evidence, The American Statistician, 74, 80-86 (2020) · Zbl 07593659 · doi:10.1080/00031305.2018.1475304
[25] Rafi, Z.; Greenland, S., “Semantic and Cognitive Tools to Aid Statistical Science: Replace Confidence and Significance by Compatibility and Surprise, BMC Medical Research Methodology, 20, 1 (2020) · doi:10.1186/s12874-020-01105-9
[26] Rice, K., “A Decision-Theoretic Formulation of Fisher’s Approach to Testing, The American Statistician, 64, 345-349 (2010) · Zbl 1217.62005 · doi:10.1198/tast.2010.09060
[27] Rice, K.; Bonnett, T.; Krakauer, C., “Knowing the Signs: A Direct and Generalizable Motivation of Two-sided Tests, Journal of the Royal Statistical Society, Series A, 183, 411-430 (2020) · doi:10.1111/rssa.12496
[28] Schervish, M. J., “P Values: What they are and what they are not, The American Statistician, 50, 203-206 (1996) · doi:10.2307/2684655
[29] Spiegelhalter, D.; Rice, K., “Bayesian Statistics, Scholarpedia, 4, 5230 (2009) · doi:10.4249/scholarpedia.5230
[30] Stephens, M., “False Discovery Rates: A New Deal, Biostatistics, 18, 275-294 (2017)
[31] Stern, J. M.; De Braganca Pereira, C. A., “Bayesian Epistemic Values: Focus on Surprise, Measure Probability!, Logic Journal of IGPL, 22, 236-254 (2014) · Zbl 1309.62057 · doi:10.1093/jigpal/jzt023
[32] Wakefield, J., Bayesian and Frequentist Regression Methods (2013), New York: Springer, New York · Zbl 1281.62014
[33] Wald, A., “An Essentially Complete Class of Admissible Decision Functions, The Annals of Mathematical Statistics, 18, 549-555 (1947) · Zbl 0029.30604 · doi:10.1214/aoms/1177730345
[34] Wasserstein, R. L.; Lazar, N. A., “The ASA’s Statement on p-values: Context, Process, and Purpose, The American Statistician, 70, 129-133 (2016) · Zbl 07665862 · doi:10.1080/00031305.2016.1154108
[35] Weber, R.; Popova, L., “Testing Equivalence in Communication Research: Theory and Application, Communication Methods and Measures, 6, 190-213 (2012) · doi:10.1080/19312458.2012.703834
[36] Zhang, Z.; Zhang, B., “A Likelihood Paradigm for Clinical Trials, Journal of Statistical Theory and Practice, 7, 155-177 (2013) · Zbl 1425.62010 · doi:10.1080/15598608.2013.771545
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