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Volumn 5, Issue , 2018, Pages 393-419

On p-Values and Bayes Factors

Author keywords

Bayes factor; Evidence; Minimum Bayes factor; Objective Bayes; p value; Sample size

Indexed keywords


EID: 85040814901     PISSN: 23268298     EISSN: 2326831X     Source Type: Journal    
DOI: 10.1146/annurev-statistics-031017-100307     Document Type: Article
Times cited : (219)

References (56)
  • 1
    • 84971324051 scopus 로고    scopus 로고
    • Rejection odds and rejection ratios: A proposal for statistical practice in testing hypotheses
    • Bayarri MJ, Benjamin DJ, Berger JO, Sellke TM. 2016. Rejection odds and rejection ratios: A proposal for statistical practice in testing hypotheses. J. Math. Psychol. 72: 90-103
    • (2016) J. Math. Psychol. , vol.72 , pp. 90-103
    • Bayarri, M.J.1    Benjamin, D.J.2    Berger, J.O.3    Sellke, T.M.4
  • 2
    • 84868213569 scopus 로고    scopus 로고
    • Criteria for Bayesian model choice with application to variable selection
    • Bayarri MJ, Berger JO, Forte A, Garca-Donato G. 2012. Criteria for Bayesian model choice with application to variable selection. Ann. Stat. 40: 1550-77
    • (2012) Ann. Stat. , vol.40 , pp. 1550-1577
    • Bayarri, M.J.1    Berger, J.O.2    Forte, A.3    Garca-Donato, G.4
  • 4
    • 84867176040 scopus 로고    scopus 로고
    • The case for objective Bayesian analysis
    • Berger J. 2006. The case for objective Bayesian analysis. Bayesian Anal. 1: 385-402
    • (2006) Bayesian Anal. , vol.1 , pp. 385-402
    • Berger, J.1
  • 5
    • 84950900304 scopus 로고
    • Testing a point null hypothesis: The irreconcilability of P values and evidence (with discussion)
    • Berger JO, Sellke T. 1987. Testing a point null hypothesis: The irreconcilability of P values and evidence (with discussion). J. Am. Stat. Assoc. 82: 112-39
    • (1987) J. Am. Stat. Assoc. , vol.82 , pp. 112-139
    • Berger, J.O.1    Sellke, T.2
  • 7
    • 85042912369 scopus 로고    scopus 로고
    • P-Values are not what they're cracked up to be
    • Berry DA. 2016. p-Values are not what they're cracked up to be. Am. Stat. 70. http: //www. Tandfonline. com/doi/full/10. 1080/00031305. 2016. 1154108
    • (2016) Am. Stat. , pp. 70
    • Berry, D.A.1
  • 9
    • 84921386393 scopus 로고
    • Reconciling Bayesian and frequentist evidence in the one-sided testing problem
    • Casella G, Berger RL. 1987. Reconciling Bayesian and frequentist evidence in the one-sided testing problem. J. Am. Stat. Assoc. 82: 106-11
    • (1987) J. Am. Stat. Assoc. , vol.82 , pp. 106-111
    • Casella, G.1    Berger, R.L.2
  • 12
    • 0010827738 scopus 로고
    • The limiting distribution of the likelihood ratio statistic under a class of local alternatives
    • Davidson RR, Lever WE. 1970. The limiting distribution of the likelihood ratio statistic under a class of local alternatives. Sankhya Ser. A 32: 209-24
    • (1970) Sankhya Ser. A , vol.32 , pp. 209-224
    • Davidson, R.R.1    Lever, W.E.2
  • 13
    • 0033482298 scopus 로고    scopus 로고
    • A note on information seldom reported via the P value
    • Donahue RMJ. 1999. A note on information seldom reported via the P value. Am. Stat. 53: 303-6
    • (1999) Am. Stat. , vol.53 , pp. 303-306
    • Donahue, R.M.J.1
  • 14
    • 26444433586 scopus 로고
    • Bayesian statistical inference for psychological research
    • Edwards W, Lindman H, Savage LJ. 1963. Bayesian statistical inference for psychological research. Psychol. Rev. 70: 193-242
    • (1963) Psychol. Rev. , vol.70 , pp. 193-242
    • Edwards, W.1    Lindman, H.2    Savage, L.J.3
  • 15
    • 84983042426 scopus 로고
    • Edinburgh: Oliver & Boyd. 13th ed. Good IJ. 1950. Probability and the Weighing of Evidence. London: Griffin
    • Fisher RA. 1958. Statistical Methods for Research Workers. Edinburgh: Oliver & Boyd. 13th ed. Good IJ. 1950. Probability and the Weighing of Evidence. London: Griffin
    • (1958) Statistical Methods for Research Workers
    • Fisher, R.A.1
  • 16
    • 0033564491 scopus 로고    scopus 로고
    • Toward evidence-based medical statistics. 1: The p value fallacy
    • Goodman SN. 1999a. Toward evidence-based medical statistics. 1: The p value fallacy. Ann. Intern. Med. 130: 995-1004
    • (1999) Ann. Intern. Med. , vol.130 , pp. 995-1004
    • Goodman, S.N.1
  • 17
    • 0033564152 scopus 로고    scopus 로고
    • Toward evidence-based medical statistics. 2: The Bayes factor
    • Goodman SN. 1999b. Toward evidence-based medical statistics. 2: The Bayes factor. Ann. Intern. Med. 130: 1005-13
    • (1999) Ann. Intern. Med. , vol.130 , pp. 1005-1013
    • Goodman, S.N.1
  • 18
    • 77951018654 scopus 로고    scopus 로고
    • P value
    • ed. P Armitage, TColton. Chichester, UK: Wiley. 2nd ed
    • Goodman SN. 2005. P value. In Encyclopedia of Biostatistics, ed. P Armitage, TColton, pp. 3921-25. Chichester, UK: Wiley. 2nd ed.
    • (2005) Encyclopedia of Biostatistics , pp. 3921-3925
    • Goodman, S.N.1
  • 19
    • 45749100408 scopus 로고    scopus 로고
    • A dirty dozen: Twelve p-value misconceptions
    • Goodman SN. 2008. A dirty dozen: Twelve p-value misconceptions. Semin. Hematol. 45: 135-40
    • (2008) Semin. Hematol. , vol.45 , pp. 135-140
    • Goodman, S.N.1
  • 20
    • 84973161318 scopus 로고    scopus 로고
    • Aligning statistical and scientific reasoning
    • Goodman SN. 2016. Aligning statistical and scientific reasoning. Science 352: 1180-81
    • (2016) Science , vol.352 , pp. 1180-1181
    • Goodman, S.N.1
  • 21
    • 84871776347 scopus 로고    scopus 로고
    • Living with p values: Resurrecting a Bayesian perspective on frequentist statistics
    • Greenland S, Poole C. 2013. Living with p values: resurrecting a Bayesian perspective on frequentist statistics. Epidemiology 24: 62-68
    • (2013) Epidemiology , vol.24 , pp. 62-68
    • Greenland, S.1    Poole, C.2
  • 22
    • 84971612122 scopus 로고    scopus 로고
    • Statistical tests, p values, confidence intervals, and power: A guide to misinterpretations
    • Greenland S, Senn SJ, Rothman KJ, Carlin JB, Poole C, et al. 2016. Statistical tests, p values, confidence intervals, and power: A guide to misinterpretations. Eur. J. Epidemiol. 31: 337-50
    • (2016) Eur. J. Epidemiol. , vol.31 , pp. 337-350
    • Greenland, S.1    Senn, S.J.2    Rothman, K.J.3    Carlin, J.B.4    Poole, C.5
  • 23
    • 77950982475 scopus 로고    scopus 로고
    • A nomogram for p values
    • Held L. 2010. A nomogram for p values. BMC Med. Res. Methodol. 10: 21
    • (2010) BMC Med. Res. Methodol. , vol.10 , pp. 21
    • Held, L.1
  • 24
    • 84984706616 scopus 로고    scopus 로고
    • Objective Bayesian model selection for Cox regression
    • Held L, Gravestock I, Sabanés Bové D. 2016. Objective Bayesian model selection for Cox regression. Stat. Med. 35: 5376-90
    • (2016) Stat. Med. , vol.35 , pp. 5376-5390
    • Held, L.1    Gravestock, I.2    Sabanés Bové, D.3
  • 25
    • 84996497586 scopus 로고    scopus 로고
    • How the maximal evidence of p-values against point null hypotheses depends on sample size
    • Held L, Ott M. 2016. How the maximal evidence of p-values against point null hypotheses depends on sample size. Am. Stat. 70: 335-41
    • (2016) Am. Stat. , vol.70 , pp. 335-341
    • Held, L.1    Ott, M.2
  • 26
    • 84930895045 scopus 로고    scopus 로고
    • Approximate Bayesian model selection with the deviance statistic
    • Held L, Sabanés BovéD, Gravestock I. 2015. Approximate Bayesian model selection with the deviance statistic. Stat. Sci. 30: 242-57
    • (2015) Stat. Sci. , vol.30 , pp. 242-257
    • Held, L.1    BovéD, S.2    Gravestock, I.3
  • 27
    • 58149327271 scopus 로고    scopus 로고
    • Bayesian model selection using test statistics
    • Hu J, Johnson VE. 2009. Bayesian model selection using test statistics. J. R. Stat. Soc. B 71: 143-58
    • (2009) J. R. Stat. Soc. B , vol.71 , pp. 143-158
    • Hu, J.1    Johnson, V.E.2
  • 28
    • 0030950122 scopus 로고    scopus 로고
    • The behavior of the p-value when the alternative hypothesis is true
    • Hung HMJ, O'Neill RT, Bauer P, Kohne K. 1997. The behavior of the p-value when the alternative hypothesis is true. Biometrics 53: 11-22
    • (1997) Biometrics , vol.53 , pp. 11-22
    • Hung, H.M.J.1    O'Neill, R.T.2    Bauer, P.3    Kohne, K.4
  • 29
    • 0003414592 scopus 로고
    • Oxford, UK: Oxford Univ. Press. 3rd ed.
    • Jeffreys H. 1961. Theory of Probability. Oxford, UK: Oxford Univ. Press. 3rd ed.
    • (1961) Theory of Probability
    • Jeffreys, H.1
  • 30
    • 28044457646 scopus 로고    scopus 로고
    • Bayes factors based on test statistics
    • Johnson VE. 2005. Bayes factors based on test statistics. J. R. Stat. Soc. B 67: 689-701
    • (2005) J. R. Stat. Soc. B , vol.67 , pp. 689-701
    • Johnson, V.E.1
  • 31
    • 43749095435 scopus 로고    scopus 로고
    • Properties of Bayes factors based on test statistics
    • Johnson VE. 2008. Properties of Bayes factors based on test statistics. Scand. J. Stat. 35: 354-68
    • (2008) Scand. J. Stat. , vol.35 , pp. 354-368
    • Johnson, V.E.1
  • 32
    • 85043487070 scopus 로고    scopus 로고
    • Comments on the "ASA Statement on Statistical Significance and P-values" and marginally significant p-values
    • Johnson VE. 2016. Comments on the "ASA Statement on Statistical Significance and P-values" and marginally significant p-values. Am. Stat. 70. http: //www. Tandfonline. com/doi/full/10. 1080/ 00031305. 2016. 1154108
    • (2016) Am. Stat. , pp. 70
    • Johnson, V.E.1
  • 33
    • 77949534191 scopus 로고    scopus 로고
    • On the use of non-local prior densities in Bayesian hypothesis tests
    • Johnson VE, Rossell D. 2010. On the use of non-local prior densities in Bayesian hypothesis tests. J. R. Stat. Soc. B 72: 143-70
    • (2010) J. R. Stat. Soc. B , vol.72 , pp. 143-170
    • Johnson, V.E.1    Rossell, D.2
  • 38
    • 0000810338 scopus 로고
    • A statistical paradox
    • Lindley DV. 1957. A statistical paradox. Biometrika 44: 187-92
    • (1957) Biometrika , vol.44 , pp. 187-192
    • Lindley, D.V.1
  • 39
    • 85019199861 scopus 로고    scopus 로고
    • Three insights from a Bayesian interpretation of the one-sided p value
    • MarsmanM, Wagenmakers E-J. 2017. Three insights from a Bayesian interpretation of the one-sided p value. Educ. Psychol. Meas. 77: 529-39
    • (2017) Educ. Psychol. Meas. , vol.77 , pp. 529-539
    • Marsman, M.1    Wagenmakers, E.-J.2
  • 44
    • 0001689602 scopus 로고
    • The effect of sample size on the meaning of significance tests
    • Royall RM. 1986. The effect of sample size on the meaning of significance tests. Am. Stat. 40: 313-15
    • (1986) Am. Stat. , vol.40 , pp. 313-315
    • Royall, R.M.1
  • 45
    • 0035630521 scopus 로고    scopus 로고
    • Calibration of p values for testing precise null hypotheses
    • Sellke T, Bayarri MJ, Berger JO. 2001. Calibration of p values for testing precise null hypotheses. Am. Stat 55: 62-71
    • (2001) Am. Stat , vol.55 , pp. 62-71
    • Sellke, T.1    Bayarri, M.J.2    Berger, J.O.3
  • 47
    • 70349303959 scopus 로고    scopus 로고
    • Bayesian statistical methods for genetic association studies
    • Stephens M, Balding DJ. 2009. Bayesian statistical methods for genetic association studies. Nat. Rev. Genet. 10: 681-90
    • (2009) Nat. Rev. Genet. , vol.10 , pp. 681-690
    • Stephens, M.1    Balding, D.J.2
  • 49
    • 0001793787 scopus 로고
    • We need both exploratory and confirmatory
    • Tukey JW. 1980. We need both exploratory and confirmatory. Am. Stat. 34: 23-25
    • (1980) Am. Stat. , vol.34 , pp. 23-25
    • Tukey, J.W.1
  • 50
    • 0000591974 scopus 로고
    • A logic of probability, with application to the foundations of statistics (with discussion and a reply by the author)
    • Vovk VG. 1993. A logic of probability, with application to the foundations of statistics (with discussion and a reply by the author). J. R. Stat. Soc. B 55: 317-51
    • (1993) J. R. Stat. Soc. B , vol.55 , pp. 317-351
    • Vovk, V.G.1
  • 51
    • 37349085481 scopus 로고    scopus 로고
    • A practical solution to the pervasive problems of p values
    • Wagenmakers E-J. 2007. A practical solution to the pervasive problems of p values. Psychon. Bull. Rev. 14: 779-804
    • (2007) Psychon. Bull. Rev. , vol.14 , pp. 779-804
    • Wagenmakers, E.-J.1
  • 52
    • 66049114148 scopus 로고    scopus 로고
    • Bayes factors for genome-wide association studies: Comparison with p-values
    • Wakefield J. 2009. Bayes factors for genome-wide association studies: comparison with p-values. Genet. Epidemiol. 33: 79-86
    • (2009) Genet. Epidemiol. , vol.33 , pp. 79-86
    • Wakefield, J.1
  • 53
    • 34547509358 scopus 로고    scopus 로고
    • Adaptive Bayesian criteria in variable selection for generalized linear models
    • Wang X, George EI. 2007. Adaptive Bayesian criteria in variable selection for generalized linear models. Stat. Sin. 17: 667-90
    • (2007) Stat. Sin. , vol.17 , pp. 667-690
    • Wang, X.1    George, E.I.2
  • 54
    • 84976291730 scopus 로고    scopus 로고
    • The ASA's statement on p-values: Context, process, and purpose
    • Wasserstein RL, Lazar NA. 2016. The ASA's statement on p-values: context, process, and purpose. Am. Stat. 70: 129-33
    • (2016) Am. Stat. , vol.70 , pp. 129-133
    • Wasserstein, R.L.1    Lazar, N.A.2
  • 55
    • 55349145280 scopus 로고    scopus 로고
    • Bayesian hypothesis tests using nonparametric statistics
    • Yuan Y, Johnson VE. 2008. Bayesian hypothesis tests using nonparametric statistics. Stat. Sin. 18: 1185-200
    • (2008) Stat. Sin. , vol.18 , pp. 1185-1200
    • Yuan, Y.1    Johnson, V.E.2
  • 56
    • 0002817906 scopus 로고
    • On assessing prior distributions and Bayesian regression analysis with g-prior distributions
    • ed. PK Goel, A Zellner, Amsterdam: North-Holland
    • Zellner A. 1986. On assessing prior distributions and Bayesian regression analysis with g-prior distributions. In Bayesian Inference and Decision Techniques: Essays in Honor of Bruno de Finetti, ed. PK Goel, A Zellner, pp. 233-43. Amsterdam: North-Holland
    • (1986) Bayesian Inference and Decision Techniques: Essays in Honor of Bruno de Finetti , pp. 233-243
    • Zellner, A.1


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