Bayes Factor Approaches for Testing Interval Null Hypotheses

作者: Richard D. Morey , Jeffrey N. Rouder

DOI: 10.1037/A0024377

关键词:

摘要: Psychological theories are statements of constraint. The role hypothesis testing in psychology is to test whether specific theoretical constraints hold data. Bayesian statistics well suited the task finding supporting evidence for constraint, because it allows comparing 2 hypotheses against each another. One issue that may only approximately rather than exactly, and reason small deviations be trivial or uninteresting. In large-sample limit, these uninteresting, lead rejection a useful this article, we develop several Bayes factor 1-sample tests assessment approximate equality ordinal constraints. tests, null covers interval non-0 but negligible effect sizes around 0. These factors alternatives previously developed factors, which do not allow hypotheses, especially prove researchers who use statistical equivalence testing. To facilitate adoption provide easy-to-use software.

参考文章(56)
J. L. Hodges, E. L. Lehmann, Testing the Approximate Validity of Statistical Hypotheses Journal of the royal statistical society series b-methodological. ,vol. 16, pp. 165- 172 ,(1954) , 10.1007/978-1-4614-1412-4_15
R. Duncan Luce, Eugene Galanter, Robert R. Bush, Handbook of mathematical psychology: I. John Wiley. ,(1963)
Saul A. Teukolsky, William T. Vetterling, William H. Press, Brian P. Flannery, Numerical recipes in C (2nd ed.): the art of scientific computing Cambridge University Press. ,(1992)
John Arthur Swets, David Marvin Green, Signal Detection Theory and Psychophysics ,(1974)
Ward Edwards, Harold Lindman, Leonard J. Savage, Bayesian statistical inference for psychological research. Psychological Review. ,vol. 70, pp. 193- 242 ,(1963) , 10.1037/H0044139
Saul Sternberg, The discovery of processing stages: Extensions of Donders' method Acta Psychologica. ,vol. 30, pp. 276- 315 ,(1969) , 10.1016/0001-6918(69)90055-9
Jeffrey N. Rouder, Paul L. Speckman, Dongchu Sun, Richard D. Morey, Geoffrey Iverson, Bayesian T Tests for Accepting and Rejecting the Null Hypothesis Psychonomic Bulletin & Review. ,vol. 16, pp. 225- 237 ,(2009) , 10.3758/PBR.16.2.225
James O. Berger, Thomas Sellke, Testing a Point Null Hypothesis: The Irreconcilability of P Values and Evidence Journal of the American Statistical Association. ,vol. 82, pp. 112- 122 ,(1987) , 10.1080/01621459.1987.10478397
Harold Jeffreys, An invariant form for the prior probability in estimation problems. Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 186, pp. 453- 461 ,(1946) , 10.1098/RSPA.1946.0056