메뉴 건너뛰기




Volumn 72, Issue , 2016, Pages 19-32

Harold Jeffreys's default Bayes factor hypothesis tests: Explanation, extension, and application in psychology

Author keywords

Bayes factors; Harold Jeffreys; Model selection

Indexed keywords


EID: 84940056135     PISSN: 00222496     EISSN: 10960880     Source Type: Journal    
DOI: 10.1016/j.jmp.2015.06.004     Document Type: Article
Times cited : (288)

References (72)
  • 2
    • 0002339335 scopus 로고
    • Graphs in statistical analysis
    • Anscombe F.J. Graphs in statistical analysis. The American Statistician 1973, 27(1):17-21.
    • (1973) The American Statistician , vol.27 , Issue.1 , pp. 17-21
    • Anscombe, F.J.1
  • 3
    • 0000609589 scopus 로고
    • A comment on D. V. Lindley's statistical paradox
    • Bartlett M.S. A comment on D. V. Lindley's statistical paradox. Biometrika 1957, 44:533-534.
    • (1957) Biometrika , vol.44 , pp. 533-534
    • Bartlett, M.S.1
  • 4
    • 84868213569 scopus 로고    scopus 로고
    • Criteria for Bayesian model choice with application to variable selection
    • Bayarri M., Berger J., Forte A., García-Donato G. Criteria for Bayesian model choice with application to variable selection. The Annals of statistics 2012, 40(3):1550-1577.
    • (2012) The Annals of statistics , vol.40 , Issue.3 , pp. 1550-1577
    • Bayarri, M.1    Berger, J.2    Forte, A.3    García-Donato, G.4
  • 6
    • 69249244539 scopus 로고    scopus 로고
    • Bayes factors
    • Wiley, Hoboken, NJ, S. Kotz, N. Balakrishnan, C. Read, B. Vidakovic, N.L. Johnson (Eds.)
    • Berger J.O. Bayes factors. Encyclopedia of statistical sciences, Vol. 1 2006, 378-386. Wiley, Hoboken, NJ. 2nd ed. S. Kotz, N. Balakrishnan, C. Read, B. Vidakovic, N.L. Johnson (Eds.).
    • (2006) Encyclopedia of statistical sciences , vol.1 , pp. 378-386
    • Berger, J.O.1
  • 7
    • 84946647285 scopus 로고
    • Some difficulties of interpretation encountered in the application of the chi-square test
    • Berkson J. Some difficulties of interpretation encountered in the application of the chi-square test. Journal of the American Statistical Association 1938, 33:526-536.
    • (1938) Journal of the American Statistical Association , vol.33 , pp. 526-536
    • Berkson, J.1
  • 11
    • 0000769831 scopus 로고
    • The weighted likelihood ratio, sharp hypotheses about chances, the order of a Markov chain
    • Dickey J.M., Lientz B.P. The weighted likelihood ratio, sharp hypotheses about chances, the order of a Markov chain. The Annals of Mathematical Statistics 1970, 41:214-226.
    • (1970) The Annals of Mathematical Statistics , vol.41 , pp. 214-226
    • Dickey, J.M.1    Lientz, B.P.2
  • 12
    • 26444433586 scopus 로고
    • Bayesian statistical inference for psychological research
    • Edwards W., Lindman H., Savage L.J. Bayesian statistical inference for psychological research. Psychological Review 1963, 70:193-242.
    • (1963) Psychological Review , vol.70 , pp. 193-242
    • Edwards, W.1    Lindman, H.2    Savage, L.J.3
  • 14
    • 77955156515 scopus 로고
    • The contributions of Sir Harold Jeffreys to Bayesian inference
    • North-Holland, Amsterdam, A. Zellner, Kadane, B. Joseph (Eds.)
    • Geisser S. The contributions of Sir Harold Jeffreys to Bayesian inference. Bayesian analysis in econometrics and statistics: essays in Honor of Harold Jeffreys 1980, 13-20. North-Holland, Amsterdam. A. Zellner, Kadane, B. Joseph (Eds.).
    • (1980) Bayesian analysis in econometrics and statistics: essays in Honor of Harold Jeffreys , pp. 13-20
    • Geisser, S.1
  • 16
    • 84898923419 scopus 로고    scopus 로고
    • Evil genius? How dishonesty can lead to greater creativity
    • Gino F., Wiltermuth S.S. Evil genius? How dishonesty can lead to greater creativity. Psychological Science 2014, 4:973-981.
    • (2014) Psychological Science , vol.4 , pp. 973-981
    • Gino, F.1    Wiltermuth, S.S.2
  • 17
    • 77955137746 scopus 로고
    • The contributions of Jeffreys to Bayesian statistics
    • North-Holland Publishing Company, Amsterdam, The Netherlands, A. Zellner (Ed.)
    • Good I.J. The contributions of Jeffreys to Bayesian statistics. Bayesian analysis in econometrics and statistics: essays in Honor of Harold Jeffreys 1980, 21-34. North-Holland Publishing Company, Amsterdam, The Netherlands. A. Zellner (Ed.).
    • (1980) Bayesian analysis in econometrics and statistics: essays in Honor of Harold Jeffreys , pp. 21-34
    • Good, I.J.1
  • 19
    • 84902917025 scopus 로고
    • Sir Harold Jeffreys: Recollections of a student
    • Huzurbazar V.S. Sir Harold Jeffreys: Recollections of a student. Chance 1991, 4(2):18-21.
    • (1991) Chance , vol.4 , Issue.2 , pp. 18-21
    • Huzurbazar, V.S.1
  • 23
    • 33846432342 scopus 로고
    • Some tests of significance, treated by the theory of probability
    • Jeffreys H. Some tests of significance, treated by the theory of probability. Proceedings of the Cambridge Philosophical Society 1935, 31(2):203-222.
    • (1935) Proceedings of the Cambridge Philosophical Society , vol.31 , Issue.2 , pp. 203-222
    • Jeffreys, H.1
  • 25
  • 27
  • 28
    • 0004237126 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • Jeffreys H. Scientific inference 1973, Cambridge University Press, Cambridge, UK. 3 ed.
    • (1973) Scientific inference
    • Jeffreys, H.1
  • 32
    • 30544434873 scopus 로고    scopus 로고
    • Inequality constrained analysis of variance: a Bayesian approach
    • Klugkist I., Laudy O., Hoijtink H. Inequality constrained analysis of variance: a Bayesian approach. Psychological Methods 2005, 10(4):477.
    • (2005) Psychological Methods , vol.10 , Issue.4 , pp. 477
    • Klugkist, I.1    Laudy, O.2    Hoijtink, H.3
  • 34
    • 0031514994 scopus 로고    scopus 로고
    • Estimating Bayes factors via posterior simulation with the Laplace-Metropolis estimator
    • Lewis S.M., Raftery A.E. Estimating Bayes factors via posterior simulation with the Laplace-Metropolis estimator. Journal of the American Statistical Association 1997, 92(438):648-655.
    • (1997) Journal of the American Statistical Association , vol.92 , Issue.438 , pp. 648-655
    • Lewis, S.M.1    Raftery, A.E.2
  • 36
    • 0000810338 scopus 로고
    • A statistical paradox
    • Lindley D.V. A statistical paradox. Biometrika 1957, 44:187-192.
    • (1957) Biometrika , vol.44 , pp. 187-192
    • Lindley, D.V.1
  • 37
    • 77955140171 scopus 로고
    • Jeffreys's contribution to modern statistical thought
    • North-Holland Publishing Company, Amsterdam, The Netherlands, A. Zellner (Ed.)
    • Lindley D.V. Jeffreys's contribution to modern statistical thought. Bayesian analysis in econometrics and statistics: essays in Honor of Harold Jeffreys 1980, 35-39. North-Holland Publishing Company, Amsterdam, The Netherlands. A. Zellner (Ed.).
    • (1980) Bayesian analysis in econometrics and statistics: essays in Honor of Harold Jeffreys , pp. 35-39
    • Lindley, D.V.1
  • 38
    • 10544230229 scopus 로고
    • Sir Harold Jeffreys
    • 21
    • Lindley D.V. Sir Harold Jeffreys. Chance 1991, 4(2):10-14. 21.
    • (1991) Chance , vol.4 , Issue.2 , pp. 10-14
    • Lindley, D.V.1
  • 39
    • 56549109467 scopus 로고    scopus 로고
    • Bayes factors: Prior sensitivity and model generalizability
    • Liu C.C., Aitkin M. Bayes factors: Prior sensitivity and model generalizability. Journal of Mathematical Psychology 2008, 52:362-375.
    • (2008) Journal of Mathematical Psychology , vol.52 , pp. 362-375
    • Liu, C.C.1    Aitkin, M.2
  • 42
    • 10844233575 scopus 로고
    • The associative basis of the creative process
    • Mednick S. The associative basis of the creative process. Psychological Review 1962, 69(3):220-232.
    • (1962) Psychological Review , vol.69 , Issue.3 , pp. 220-232
    • Mednick, S.1
  • 43
    • 84902327584 scopus 로고    scopus 로고
    • Simple relation between Bayesian order-restricted and point-null hypothesis tests
    • Morey R.D., Wagenmakers E.-J. Simple relation between Bayesian order-restricted and point-null hypothesis tests. Statistics & Probability Letters 2014, 92:121-124.
    • (2014) Statistics & Probability Letters , vol.92 , pp. 121-124
    • Morey, R.D.1    Wagenmakers, E.-J.2
  • 44
    • 84892477849 scopus 로고    scopus 로고
    • Bayes factors for testing inequality constrained hypotheses: Issues with prior specification
    • Mulder J. Bayes factors for testing inequality constrained hypotheses: Issues with prior specification. British Journal of Mathematical and Statistical Psychology 2014, 67(1):153-171.
    • (2014) British Journal of Mathematical and Statistical Psychology , vol.67 , Issue.1 , pp. 153-171
    • Mulder, J.1
  • 45
    • 84971280722 scopus 로고    scopus 로고
    • Bayes factors for testing order-constrained hypotheses on correlations
    • Mulder J. Bayes factors for testing order-constrained hypotheses on correlations. Journal of Mathematical Psychology 2016, 72:104-115.
    • (2016) Journal of Mathematical Psychology , vol.72 , pp. 104-115
    • Mulder, J.1
  • 46
    • 71649110692 scopus 로고    scopus 로고
    • Equality and inequality constrained multivariate linear models: objective model selection using constrained posterior priors
    • Mulder J., Hoijtink H., Klugkist I. Equality and inequality constrained multivariate linear models: objective model selection using constrained posterior priors. Journal of Statistical Planning and Inference 2010, 140(4):887-906.
    • (2010) Journal of Statistical Planning and Inference , vol.140 , Issue.4 , pp. 887-906
    • Mulder, J.1    Hoijtink, H.2    Klugkist, I.3
  • 47
    • 0038172395 scopus 로고    scopus 로고
    • Tutorial on maximum likelihood estimation
    • Myung I.J. Tutorial on maximum likelihood estimation. Journal of Mathematical Psychology 2003, 47:90-100.
    • (2003) Journal of Mathematical Psychology , vol.47 , pp. 90-100
    • Myung, I.J.1
  • 49
    • 0003016813 scopus 로고    scopus 로고
    • Applying Occam's razor in modeling cognition: A Bayesian approach
    • Myung I.J., Pitt M.A. Applying Occam's razor in modeling cognition: A Bayesian approach. Psychonomic Bulletin & Review 1997, 4(1):79-95.
    • (1997) Psychonomic Bulletin & Review , vol.4 , Issue.1 , pp. 79-95
    • Myung, I.J.1    Pitt, M.A.2
  • 52
    • 84902304763 scopus 로고    scopus 로고
    • Objective Bayes factors for informative hypotheses: Completing" the informative hypothesis and "splitting" the Bayes factor
    • Springer Verlag, New York, H. Hoijtink, I. Klugkist, P.A. Boelen (Eds.)
    • Pericchi L.R., Liu G., Torres D. Objective Bayes factors for informative hypotheses: Completing" the informative hypothesis and "splitting" the Bayes factor. Bayesian evaluation of informative hypotheses 2008, 131-154. Springer Verlag, New York. H. Hoijtink, I. Klugkist, P.A. Boelen (Eds.).
    • (2008) Bayesian evaluation of informative hypotheses , pp. 131-154
    • Pericchi, L.R.1    Liu, G.2    Torres, D.3
  • 56
    • 77955165423 scopus 로고    scopus 로고
    • Comment
    • Senn S. Comment. Statistical Science 2009, 24(2):185-186.
    • (2009) Statistical Science , vol.24 , Issue.2 , pp. 185-186
    • Senn, S.1
  • 57
    • 84872401435 scopus 로고    scopus 로고
    • Tall claims? Sense and nonsense about the importance of height of US presidents
    • Stulp G., Buunk A.P., Verhulst S., Pollet T.V. Tall claims? Sense and nonsense about the importance of height of US presidents. The Leadership Quarterly 2013, 24(1):159-171.
    • (2013) The Leadership Quarterly , vol.24 , Issue.1 , pp. 159-171
    • Stulp, G.1    Buunk, A.P.2    Verhulst, S.3    Pollet, T.V.4
  • 58
    • 84902927068 scopus 로고
    • Harold Jeffreys: Some reminiscences
    • 26
    • Swirles B. Harold Jeffreys: Some reminiscences. Chance 1991, 4(2):22-23. 26.
    • (1991) Chance , vol.4 , Issue.2 , pp. 22-23
    • Swirles, B.1
  • 59
    • 84861190153 scopus 로고    scopus 로고
    • Catching up faster by switching sooner: A predictive approach to adaptive estimation with an application to the AIC-BIC dilemma
    • van Erven T., Grünwald P., de Rooij S. Catching up faster by switching sooner: A predictive approach to adaptive estimation with an application to the AIC-BIC dilemma. Journal of the Royal Statistical Society B 2012, 74:361-417.
    • (2012) Journal of the Royal Statistical Society B , vol.74 , pp. 361-417
    • van Erven, T.1    Grünwald, P.2    de Rooij, S.3
  • 60
    • 78149409945 scopus 로고    scopus 로고
    • Prior sensitivity in theory testing: An apologia for the Bayes factor
    • Vanpaemel W. Prior sensitivity in theory testing: An apologia for the Bayes factor. Journal of Mathematical Psychology 2010, 54:491-498.
    • (2010) Journal of Mathematical Psychology , vol.54 , pp. 491-498
    • Vanpaemel, W.1
  • 62
    • 84971338180 scopus 로고    scopus 로고
    • Another statistical paradox, or why intervals cannot be used for model comparison.
    • (submitted for publication).
    • Wagenmakers, E.-J., Lee, M. D., Rouder, J. N., & Morey, R. D. (2014). Another statistical paradox, or why intervals cannot be used for model comparison. (submitted for publication).
    • (2014)
    • Wagenmakers, E.-J.1    Lee, M.D.2    Rouder, J.N.3    Morey, R.D.4
  • 63
    • 77649192250 scopus 로고    scopus 로고
    • Bayesian hypothesis testing for psychologists: A tutorial on the Savage-Dickey method
    • Wagenmakers E.-J., Lodewyckx T., Kuriyal H., Grasman R. Bayesian hypothesis testing for psychologists: A tutorial on the Savage-Dickey method. Cognitive Psychology 2010, 60:158-189.
    • (2010) Cognitive Psychology , vol.60 , pp. 158-189
    • Wagenmakers, E.-J.1    Lodewyckx, T.2    Kuriyal, H.3    Grasman, R.4
  • 64
    • 84971275687 scopus 로고    scopus 로고
    • How to quantify the evidence for the absence of a correlation
    • Behavior Research Methods, (in press).
    • Wagenmakers, E.-J., Verhagen, A.J., & Ly, A. How to quantify the evidence for the absence of a correlation. Behavior Research Methods, (in press).
    • Wagenmakers, E.-J.1    Verhagen, A.J.2    Ly, A.3
  • 66
    • 34548864456 scopus 로고    scopus 로고
    • Model selection: Theoretical developments and applications [Special issue]
    • Wagenmakers E.-J., Waldorp L. Model selection: Theoretical developments and applications [Special issue]. Journal of Mathematical Psychology 2006, 50(2).
    • (2006) Journal of Mathematical Psychology , vol.50 , Issue.2
    • Wagenmakers, E.-J.1    Waldorp, L.2
  • 68
    • 74849098212 scopus 로고    scopus 로고
    • How to quantify support for and against the null hypothesis: A flexible WinBUGS implementation of a default Bayesian t test
    • Wetzels R., Raaijmakers J.G., Jakab E., Wagenmakers E.-J. How to quantify support for and against the null hypothesis: A flexible WinBUGS implementation of a default Bayesian t test. Psychonomic Bulletin & Review 2009, 16(4):752-760.
    • (2009) Psychonomic Bulletin & Review , vol.16 , Issue.4 , pp. 752-760
    • Wetzels, R.1    Raaijmakers, J.G.2    Jakab, E.3    Wagenmakers, E.-J.4
  • 69
    • 0010081152 scopus 로고
    • On certain fundamental principles of scientific inquiry
    • Wrinch D., Jeffreys H. On certain fundamental principles of scientific inquiry. Philosophical Magazine 1921, 42:369-390.
    • (1921) Philosophical Magazine , vol.42 , pp. 369-390
    • Wrinch, D.1    Jeffreys, H.2
  • 72
    • 0039026915 scopus 로고
    • Posterior odds ratios for selected regression hypotheses
    • Springer, J.M. Bernardo, M.H. DeGroot, D.V. Lindley, A.F. Smith (Eds.)
    • Zellner A., Siow A. Posterior odds ratios for selected regression hypotheses. Bayesian statistics: proceedings of the first international meeting held in Valencia, vol.~1 1980, 585-603. Springer. J.M. Bernardo, M.H. DeGroot, D.V. Lindley, A.F. Smith (Eds.).
    • (1980) Bayesian statistics: proceedings of the first international meeting held in Valencia , vol.1 , pp. 585-603
    • Zellner, A.1    Siow, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.