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Volumn 32, Issue 2, 2017, Pages 313-329

J. B. S. Haldane's contribution to the bayes factor hypothesis test

Author keywords

Evidence; History of statistics; Induction; Sir Harold Jeffreys

Indexed keywords


EID: 85019143022     PISSN: 08834237     EISSN: None     Source Type: Journal    
DOI: 10.1214/16-STS599     Document Type: Article
Times cited : (84)

References (78)
  • 1
    • 29444451857 scopus 로고    scopus 로고
    • The statistical education of Harold Jeffreys
    • ALDRICH, J. (2005). The statistical education of Harold Jeffreys. Int. Stat. Rev. 73 289-307.
    • (2005) Int. Stat. Rev , vol.73 , pp. 289-307
    • Aldrich, J.1
  • 2
    • 25444479716 scopus 로고    scopus 로고
    • A conversation with I
    • MR1437124
    • BANKS, D. L. (1996). A conversation with I. J. Good. Statist. Sci. 11 1-19. MR1437124
    • (1996) J. Good. Statist. Sci , vol.11 , pp. 1-19
    • Banks, D.L.1
  • 3
    • 84888422572 scopus 로고
    • The Bayesian controversy in statistical inference
    • BARNARD, G. A. (1967). The Bayesian controversy in statistical inference. J. Inst. Actuar. 93 229-269.
    • (1967) J. Inst. Actuar , vol.93 , pp. 229-269
    • Barnard, G.A.1
  • 4
    • 84868213569 scopus 로고    scopus 로고
    • Criteria for Bayesian model choice with application to variable selection
    • MR3015035
    • BAYARRI, M. J., BERGER, J. O., FORTE, A. and GARCíADONATO, G. (2012). Criteria for Bayesian model choice with application to variable selection. Ann. Statist. 40 1550-1577. MR3015035
    • (2012) Ann. Statist , vol.40 , pp. 1550-1577
    • Bayarri, M.J.1    Berger, J.O.2    Forte, A.3    Garcíadonato, G.4
  • 6
    • 69249244539 scopus 로고    scopus 로고
    • Bayes factors
    • 2nd ed. (S. Kotz, N. Balakrishnan, C. Read, B. Vidakovic and N. L. Johnson, eds.). Wiley, Hoboken, NJ
    • BERGER, J. O. (2006). Bayes factors. In Encyclopedia of Statistical Sciences, Vol. 1, 2nd ed. (S. Kotz, N. Balakrishnan, C. Read, B. Vidakovic and N. L. Johnson, eds.) 378-386. Wiley, Hoboken, NJ.
    • (2006) In Encyclopedia of Statistical Sciences , vol.1 , pp. 378-386
    • Berger, J.O.1
  • 7
    • 29444450125 scopus 로고
    • On the relation between induction and probability (Part I)
    • BROAD, C. D. (1918). On the relation between induction and probability (Part I). Mind 27 389-404.
    • (1918) Mind , vol.27 , pp. 389-404
    • Broad, C.D.1
  • 8
    • 0004061821 scopus 로고
    • B. S. Haldane. Coward-McCann, Inc., New York
    • CLARK, R. W. (1968). JBS: The Life and Work of J. B. S. Haldane. Coward-McCann, Inc., New York.
    • (1968) JBS: The Life and Work of J
    • Clark, R.W.1
  • 9
    • 0026478415 scopus 로고
    • Centennial: JBS Haldane, 1892-1964
    • CROW, J. F. (1992). Centennial: JBS Haldane, 1892-1964. Genetics 130 1.
    • (1992) Genetics , vol.130 , pp. 1
    • Crow, J.F.1
  • 10
    • 85019084517 scopus 로고    scopus 로고
    • Wing patterning genes and coevolution of Müllerian mimicry in Heliconius butterflies: Support from phylogeography, co-phylogeny and divergence times
    • (in press)
    • CUTHILL, J. H. and CHARLESTON, M. (in press). Wing patterning genes and coevolution of Müllerian mimicry in Heliconius butterflies: Support from phylogeography, co-phylogeny and divergence times. Evolution.
    • Evolution
    • Cuthill, J.H.1    Charleston, M.2
  • 11
    • 85175261271 scopus 로고    scopus 로고
    • Using Bayes to get the most out of nonsignificant results
    • DIENES, Z. (2014). Using Bayes to get the most out of nonsignificant results. Front. Psychol. 5, 781.
    • (2014) Front. Psychol , vol.5 , pp. 781
    • Dienes, Z.1
  • 12
    • 0038926278 scopus 로고
    • The history of likelihood
    • MR0353514
    • EDWARDS, A. W. F. (1974). The history of likelihood. Int. Stat. Rev. 42 9-15. MR0353514
    • (1974) Int. Stat. Rev , vol.42 , pp. 9-15
    • Edwards, A.W.F.1
  • 13
    • 84867122371 scopus 로고    scopus 로고
    • When did Bayesian inference become 'Bayesian'?
    • MR2227361
    • FIENBERG, S. E. (2006). When did Bayesian inference become 'Bayesian'? Bayesian Anal. 1 1-40. MR2227361
    • (2006) Bayesian Anal , vol.1 , pp. 1-40
    • Fienberg, S.E.1
  • 14
    • 0000231619 scopus 로고
    • Inverse probability and the use of likelihood
    • FISHER, R. A. (1932). Inverse probability and the use of likelihood. Math. Proc. Cambridge Philos. Soc. 28 257-261.
    • (1932) Math. Proc. Cambridge Philos. Soc , vol.28 , pp. 257-261
    • Fisher, R.A.1
  • 15
    • 0002291031 scopus 로고
    • Probability likelihood and quantity of information in the logic of uncertain inference
    • FISHER, R. A. (1934). Probability likelihood and quantity of information in the logic of uncertain inference. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 146 1-8.
    • (1934) Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci , vol.146 , pp. 1-8
    • Fisher, R.A.1
  • 16
    • 84961290415 scopus 로고    scopus 로고
    • Powerexpected-posterior priors for variable selection in Gaussian linear models
    • MR3420898
    • FOUSKAKIS, D., NTZOUFRAS, I. andDRAPER, D. (2015). Powerexpected-posterior priors for variable selection in Gaussian linear models. Bayesian Anal. 10 75-107. MR3420898
    • (2015) Bayesian Anal , vol.10 , pp. 75-107
    • Fouskakis, D.1    Ntzoufras, I.2    Draper, D.3
  • 17
    • 26844520999 scopus 로고
    • Significance tests in parallel and in series
    • MR0103560
    • GOOD, I. J. (1958). Significance tests in parallel and in series. J. Amer. Statist. Assoc. 53 799-813. MR0103560
    • (1958) J. Amer. Statist. Assoc , vol.53 , pp. 799-813
    • Good, I.J.1
  • 18
    • 85042569492 scopus 로고
    • Studies in the history of probability and statistics XXXVII. A. M. Turing's statistical work in World War II
    • MR0548210
    • GOOD, I. J. (1979). Studies in the history of probability and statistics. XXXVII. A. M. Turing's statistical work in World War II. Biometrika 66 393-396. MR0548210
    • (1979) Biometrika , vol.66 , pp. 393-396
    • Good, I.J.1
  • 20
    • 84972494130 scopus 로고
    • The interface between statistics and philosophy of science
    • MR0996411
    • GOOD, I. J. (1988). The interface between statistics and philosophy of science. Statist. Sci. 3 386-412. MR0996411
    • (1988) Statist. Sci , vol.3 , pp. 386-412
    • Good, I.J.1
  • 21
    • 84931951943 scopus 로고
    • The probable errors of calculated linkage values, and the most accurate method of determining gametic from certain zygotic series
    • HALDANE, J. B. S. (1919). The probable errors of calculated linkage values, and the most accurate method of determining gametic from certain zygotic series. J. Genet. 8 291-297.
    • (1919) J. Genet , vol.8 , pp. 291-297
    • Haldane, J.B.S.1
  • 24
    • 0007228520 scopus 로고
    • 2, used as a test of goodness of fit, when expectations are small
    • MR0478438
    • 2, used as a test of goodness of fit, when expectations are small. Biometrika 29 133-143. MR0478438
    • (1937) Biometrika , vol.29 , pp. 133-143
    • Haldane, J.B.S.1
  • 25
    • 0343866546 scopus 로고
    • The approximate normalization of a class of frequency distributions
    • HALDANE, J. B. S. (1938). The approximate normalization of a class of frequency distributions. Biometrika 29 392-404.
    • (1938) Biometrika , vol.29 , pp. 392-404
    • Haldane, J.B.S.1
  • 26
    • 77956980697 scopus 로고
    • On a method of estimating frequencies
    • MR0019900
    • HALDANE, J. B. S. (1945). On a method of estimating frequencies. Biometrika 33 222-225. MR0019900
    • (1945) Biometrika , vol.33 , pp. 222-225
    • Haldane, J.B.S.1
  • 27
    • 0009095401 scopus 로고
    • The precision of observed values of small frequencies
    • HALDANE, J. B. S. (1948). The precision of observed values of small frequencies. Biometrika 35 297-300.
    • (1948) Biometrika , vol.35 , pp. 297-300
    • Haldane, J.B.S.1
  • 28
    • 84950221714 scopus 로고
    • A class of efficient estimates of a parameter
    • MR0088845
    • HALDANE, J. B. S. (1951). A class of efficient estimates of a parameter. Bull. Inst. Internat. Statist. 23 231-248. MR0088845
    • (1951) Bull. Inst. Internat. Statist , vol.23 , pp. 231-248
    • Haldane, J.B.S.1
  • 29
    • 0013916355 scopus 로고
    • An autobiography in brief
    • HALDANE, J. B. S. (1966). An autobiography in brief. Perspect. Biol. Med. 9 476-481.
    • (1966) Perspect. Biol. Med , vol.9 , pp. 476-481
    • Haldane, J.B.S.1
  • 30
    • 0001316449 scopus 로고
    • A simple exact test for birth-order effect
    • HALDANE, J. B. S. and SMITH, C. A. B. (1947). A simple exact test for birth-order effect. Ann. Eugen. 14 117-124.
    • (1947) Ann. Eugen , vol.14 , pp. 117-124
    • Haldane, J.B.S.1    Smith, C.A.B.2
  • 33
    • 84924855535 scopus 로고    scopus 로고
    • Two-sample Bayesian nonparametric hypothesis testing
    • MR3420884
    • HOLMES, C. C., CARON, F., GRIFFIN, J. E. and STEPHENS, D. A. (2015). Two-sample Bayesian nonparametric hypothesis testing. Bayesian Anal. 10 297-320. MR3420884
    • (2015) Bayesian Anal , vol.10 , pp. 297-320
    • Holmes, C.C.1    Caron, F.2    Griffin, J.E.3    Stephens, D.A.4
  • 35
    • 0004237126 scopus 로고
    • 1st ed Cambridge Univ. Press, Cambridge
    • JEFFREYS, H. (1931). Scientific Inference, 1st ed. Cambridge Univ. Press, Cambridge.
    • (1931) Scientific Inference
    • Jeffreys, H.1
  • 36
    • 29444453075 scopus 로고
    • On the prior probability in the theory of sampling
    • JEFFREYS, H. (1933). On the prior probability in the theory of sampling. Math. Proc. Cambridge Philos. Soc. 29 83-87.
    • (1933) Math. Proc. Cambridge Philos. Soc , vol.29 , pp. 83-87
    • Jeffreys, H.1
  • 37
    • 33846432342 scopus 로고
    • Some tests of significance, treated by the theory of probability
    • JEFFREYS, H. (1935). Some tests of significance, treated by the theory of probability. Math. Proc. Cambridge Philos. Soc. 31 203-222.
    • (1935) Math. Proc. Cambridge Philos. Soc , vol.31 , pp. 203-222
    • Jeffreys, H.1
  • 40
    • 0003414592 scopus 로고
    • Oxford Univ. Press, Oxford. MR0000924
    • JEFFREYS, H. (1939). Theory of Probability. Oxford Univ. Press, Oxford. MR0000924
    • (1939) Theory of Probability
    • Jeffreys, H.1
  • 41
    • 77958399571 scopus 로고
    • Probability theory in geophysics
    • MR0434330
    • JEFFREYS, H. (1977). Probability theory in geophysics. IMA J. Appl. Math. 19 87-96. MR0434330
    • (1977) IMA J. Appl. Math , vol.19 , pp. 87-96
    • Jeffreys, H.1
  • 43
    • 77955144534 scopus 로고    scopus 로고
    • Comment: The importance of Jeffreys's legacy
    • MR2655844
    • KASS, R. E. (2009). Comment: The importance of Jeffreys's legacy. Statist. Sci. 24 179-182. MR2655844
    • (2009) Statist. Sci , vol.24 , pp. 179-182
    • Kass, R.E.1
  • 45
    • 3743063423 scopus 로고
    • Studies in the history of probability and statistics: XI Daniel Bernoulli on maximum likelihood
    • KENDALL, M. G., BERNOULLI, D., ALLEN, C. G. and EULER, L. (1961). Studies in the history of probability and statistics: XI. Daniel Bernoulli on maximum likelihood. Biometrika 48.
    • (1961) Biometrika , pp. 48
    • Kendall, M.G.1    Bernoulli, D.2    Allen, C.G.3    Euler, L.4
  • 46
    • 85019088028 scopus 로고    scopus 로고
    • John Burdon Sanderson Haldane (1892-1964) polymath beneath the firedamp: The story of JBS Haldane
    • LAI, D. C. (1998). John Burdon Sanderson Haldane (1892-1964) polymath beneath the firedamp: The story of JBS Haldane. Bull. Anesth. History 16 3-7.
    • (1998) Bull. Anesth. History , vol.16 , pp. 3-7
    • Lai, D.C.1
  • 48
    • 84924435573 scopus 로고
    • Fisher, Jeffreys, and the nature of probability
    • In R. A. Fisher: An Appreciation. Springer, New York. MR0578901
    • LANE, D. A. (1980). Fisher, Jeffreys, and the nature of probability. In R. A. Fisher: An Appreciation. Lecture Notes in Statist. 1 148-160. Springer, New York. MR0578901
    • (1980) Lecture Notes in Statist , vol.1 , pp. 148-160
    • Lane, D.A.1
  • 49
    • 84896498688 scopus 로고    scopus 로고
    • Neutron star masses and radii from quiescent low-mass X-ray binaries
    • LATTIMER, J. M. and STEINER, A. W. (2014). Neutron star masses and radii from quiescent low-mass X-ray binaries. Astrophys. J. 784, 123.
    • (2014) Astrophys. J , vol.784 , pp. 123
    • Lattimer, J.M.1    Steiner, A.W.2
  • 50
    • 0001495274 scopus 로고
    • Binomial sampling schemes and the concept of information
    • MR0087273
    • LINDLEY, D. V. (1957). Binomial sampling schemes and the concept of information. Biometrika 44 179-186. MR0087273
    • (1957) Biometrika , vol.44 , pp. 179-186
    • Lindley, D.V.1
  • 51
    • 77955138551 scopus 로고    scopus 로고
    • Comment [MR2655841]
    • MR2655845
    • LINDLEY, D. (2009). Comment [MR2655841]. Statist. Sci. 24 183-184. MR2655845
    • (2009) Statist. Sci , vol.24 , pp. 183-184
    • Lindley, D.1
  • 52
    • 84940056135 scopus 로고    scopus 로고
    • Harold Jeffreys's default Bayes factor hypothesis tests: Explanation, extension, and application in psychology
    • MR3506022
    • LY, A., VERHAGEN, J. andWAGENMAKERS, E.-J. (2016). Harold Jeffreys's default Bayes factor hypothesis tests: Explanation, extension, and application in psychology. J. Math. Psych. 72 19-32. MR3506022
    • (2016) J. Math. Psych , vol.72 , pp. 19-32
    • Ly, A.1    Verhagen, J.2    Wagenmakers, E.-J.3
  • 53
    • 84999064725 scopus 로고    scopus 로고
    • Bayesian approach to disentangling technical and environmental productivity
    • MALIKOV, E., KUMBHAKAR, S. C. and TSIONAS, E. G. (2015). Bayesian approach to disentangling technical and environmental productivity. Econometrics 3 443-465.
    • (2015) Econometrics , vol.3 , pp. 443-465
    • Malikov, E.1    Kumbhakar, S.C.2    Tsionas, E.G.3
  • 54
    • 84924432931 scopus 로고
    • On a problem concerning probabilities
    • OSTROGRADSKI, M. V. (1848). On a problem concerning probabilities. St. Petersburg Acad. Sci. 6 321-346.
    • (1848) St. Petersburg Acad. Sci , vol.6 , pp. 321-346
    • Ostrogradski, M.V.1
  • 56
    • 0001631314 scopus 로고
    • The probability of induction
    • PEIRCE, C. S. (1878). The probability of induction. Pop. Sci. Mon. 12 705-718.
    • (1878) Pop. Sci. Mon , vol.12 , pp. 705-718
    • Peirce, C.S.1
  • 57
    • 0005131980 scopus 로고
    • John Burdon Sanderson Haldan 1892-1964
    • PIRIE, N. W. (1966). John Burdon Sanderson Haldane. 1892-1964. Biogr. Mem. Fellows R. Soc. 12 219-249.
    • (1966) Biogr. Mem. Fellows R. Soc , vol.12 , pp. 219-249
    • Pirie, N.W.1
  • 59
    • 84940776975 scopus 로고    scopus 로고
    • The expected demise of the Bayes factor
    • MR3506023
    • ROBERT, C. P. (2016). The expected demise of the Bayes factor. J. Math. Psych. 72 33-37. MR3506023
    • (2016) J. Math. Psych , vol.72 , pp. 33-37
    • Robert, C.P.1
  • 60
    • 77955125911 scopus 로고    scopus 로고
    • Harold Jeffreys' s theory of probability revisited
    • MR2655841
    • ROBERT, C., CHOPIN, N. and ROUSSEAU, J. (2009). Harold Jeffreys' s theory of probability revisited. Statist. Sci. 24 141-172. MR2655841
    • (2009) Statist. Sci , vol.24 , pp. 141-172
    • Robert, C.1    Chopin, N.2    Rousseau, J.3
  • 61
    • 85019138921 scopus 로고
    • A centenary reassessment of JBS Haldane, 1892-1964
    • SARKAR, S. (1992). A centenary reassessment of JBS Haldane, 1892-1964. BioScience 42 777-785.
    • (1992) BioScience , vol.42 , pp. 777-785
    • Sarkar, S.1
  • 63
    • 77955165423 scopus 로고    scopus 로고
    • Comment on 'Harold Jeffreys's theory of probability revisited'
    • SENN, S. (2009). Comment on 'Harold Jeffreys's theory of probability revisited'. Statist. Sci. 24 185-186.
    • (2009) Statist. Sci , vol.24 , pp. 185-186
    • Senn, S.1
  • 65
    • 84931412414 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for high-dimensional posterior consistency under g-priors
    • MR3420818
    • SPARKS, D. K., KHARE, K. and GHOSH, M. (2015). Necessary and sufficient conditions for high-dimensional posterior consistency under g-priors. Bayesian Anal. 10 627-664. MR3420818
    • (2015) Bayesian Anal , vol.10 , pp. 627-664
    • Sparks, D.K.1    Khare, K.2    Ghosh, M.3
  • 67
    • 84924471439 scopus 로고
    • Summation of a compound series, and its application to a problem in probabilities
    • TERROT, C. (1853). Summation of a compound series, and its application to a problem in probabilities. Trans. R. Soc. Edinb. 20 541-545.
    • (1853) Trans. R. Soc. Edinb , vol.20 , pp. 541-545
    • Terrot, C.1
  • 72
    • 0002548890 scopus 로고
    • JBS Haldane
    • WHITE, M. J. D. (1965). JBS Haldane. Genetics 52 1.
    • (1965) Genetics , vol.52 , pp. 1
    • White, M.J.D.1
  • 73
    • 3843089238 scopus 로고
    • On some aspects of the theory of probability
    • WRINCH, D. and JEFFREYS, H. (1919). On some aspects of the theory of probability. Philos. Mag. 38 715-731.
    • (1919) Philos. Mag , vol.38 , pp. 715-731
    • Wrinch, D.1    Jeffreys, H.2
  • 74
    • 0010081152 scopus 로고
    • On certain fundamental principles of scientific inquiry
    • WRINCH, D. and JEFFREYS, H. (1921). On certain fundamental principles of scientific inquiry. Philos. Mag. 42 369-390.
    • (1921) Philos. Mag , vol.42 , pp. 369-390
    • Wrinch, D.1    Jeffreys, H.2
  • 75
    • 84971224299 scopus 로고
    • On certain fundamental principles of scientific inquiry (second paper)
    • WRINCH, D. and JEFFREYS, H. (1923). On certain fundamental principles of scientific inquiry (second paper). Philos. Mag. 45 368-374.
    • (1923) Philos. Mag , vol.45 , pp. 368-374
    • Wrinch, D.1    Jeffreys, H.2
  • 77
    • 0000861078 scopus 로고
    • The rule of succession
    • ZABELL, S. (1989). The rule of succession. Erkenntnis 31 283-321.
    • (1989) Erkenntnis , vol.31 , pp. 283-321
    • Zabell, S.1
  • 78
    • 84863817768 scopus 로고    scopus 로고
    • Commentary on Alan M. Turing: The applications of probability to cryptography
    • ZABELL, S. (2012). Commentary on Alan M. Turing: The applications of probability to cryptography. Cryptologia 36 191-214.
    • (2012) Cryptologia , vol.36 , pp. 191-214
    • Zabell, S.1


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