Fisher's "Inverse probability" of 1930

International Statistical Review

Volumn 68, Issue 2, 2000, Pages 155-172

  Aldrich, John ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Confidence intervals; Ezekiel; Fiducial argument; Fisher; Hotelling

Indexed keywords

EID: 0034237931     PISSN: 03067734     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1751-5823.2000.tb00319.x     Document Type: Article

References (74)

1. Aldrich, J. (1997). R.A. Fisher and the Making of Maximum Likelihood 1912-22. Statistical Science, 12, 162-176.
2. Allan, F.E. (1930). A Percentile Table of the Relation between the True and the Observed Correlation Coefficient from a Sample of 4. Proceedings of the Cambridge Philosophical Society, 26, 536-537
3. Barnard, G.A. (1995). Pivotal Models and the Fiducial Argument. International Statistical Review, 63, 309-323.
4. Bartlett, M.S. (1936). The information Available in Small Samples. Proceedings of the Cambridge Philosophical Society, 32, 560-566.
5. Bartlett, M.S. (1984). J.O. Irwin (1898-1982). International Statistical Review, 52, 109-114.
6. Bennett, J.H. (Ed.) (1971-4). Collected Papers of R.A. Fisher, 5 volumes. Adelaide: Adelaide University Press.
7. Bennett, J.H. (1990). Statistical Inference and Analysis: Selected Correspondence of R.A. Fisher. Oxford: Oxford University Press.
8. Box, J.F. (1978). R. A. Fisher: The Life of a Scientist. New York: Wiley.
9. Burnside, W. (1928). Theory of Probability. Cambridge: Cambridge University Press.
10. Clopper C.J. & Pearson, E.S. (1934). The Use of Confidence or Fiducial Limits Illustrated in the Case of the Binomial. Biometrika, 26, 404-413.
11. Darnell, A.C. (1988). Harold Hotelling (1895-1973). Statistical Science, 3, 57-62.
12. Davies, O.L. & Pearson, E.S. (1934). Methods of Estimating from Samples the Population Standard Deviation. Supplement to the Journal of the Royal Statistical Association, 1, 76-93.
13. Du Val, P. (1931). The British Association Meeting, Bristol 1930. Mathematical Gazette, 15, 292.
14. Edwards, A.W.F. (1972). Likelihood: An Account of the Statistical Concept of Likelihood and its Application to Scientific Inference. Cambridge: Cambridge University Press.
15. Edwards, A.W.F. (1995). Fiducial Inference and the Fundamental Theorem of Natural Selection. Biometrics, 51, 799-809.
16. Edwards, A.W.F. (1997). What Did Fisher Mean by 'Inverse Probability' in 1912-22? Statistical Science, 12, 177-184.
17. Edwards, A.W.F. (1999). The Origin of the Concept of Confidence Limits, Chapter 5 of the forthcoming volume edited by H. A. David & A. W. F. Edwards Annotated Readings in the History of Statistics. New York: Springer.
18. Ezekiel, M. (1929). The Application of the Theory of Error to Multiple and Curvilinear Correlation. Journal of the American Statistical Association, Supplement: Proceedings of the American Statistical Association, 24, 99-104.
19. Ezekiel, M. (1930). Methods of Correlation Analysis. New York: Wiley.
20. Ezekiel, M. (1941). Methods of Correlation Analysis, 2nd edition. New York: Wiley.
21. Fisher, R. A. (1912). On an Absolute Criterion for Fitting Frequency Curves. Messenger of Mathematics, 41, 155-160. CP1.
22. Fisher, R.A. (1921). On the 'Probable Error' of a Coefficient of Correlation Deduced from a Small Sample. Metron, 1, 3-32. CP1.
23. Fisher, R.A. (1922a). On the Mathematical Foundations of Theoretical Statistics. Philosophical Transactions of the Royal Society A, 222, 309-368. CP1.
24. Fisher, R.A. (1922b). The Goodness of Fit of Regression Formulae, and the Distribution of Regression Coefficients. Journal of the Royal Statistical Society, 85, 597-612. CP1.
25. Fisher, R.A. (1923). Note on Dr. Burnside's Recent Paper on Errors of Observation. Proceedings of the Cambridge Philosophical Society, 21, 655-658. CP1.
26. Fisher, R.A. (1925a). Statistical Methods for Research Workers, 1st edition 1925; 2nd edition 1928; 4th edition 1932; 6th edition 1936. Edinburgh: Oliver & Boyd.
27. Fisher, R.A. (1925a). Statistical Methods for Research Workers, 1st edition 1925; 2nd edition 1928; 4th edition 1932; 6th edition 1936. Edinburgh: Oliver & Boyd.
28. Fisher, R.A. (1925a). Statistical Methods for Research Workers, 1st edition 1925; 2nd edition 1928; 4th edition 1932; 6th edition 1936. Edinburgh: Oliver & Boyd.
29. Fisher, R.A. (1925a). Statistical Methods for Research Workers, 1st edition 1925; 2nd edition 1928; 4th edition 1932; 6th edition 1936. Edinburgh: Oliver & Boyd.
30. Fisher, R.A. (1925b). Theory of Statistical Estimation. Proceedings of the Cambridge Philosophical Society, 22, 700-725. CP2.
31. Fisher, R.A. (1928). The General Sampling Distribution of the Multiple Correlation Coefficient. Proceedings of the Royal Society A, 121, 654-673. CP2.
32. Fisher, R.A. (1930a). Inverse Probability. Proceedings of the Cambridge Philosophical Society, 26, 528-535. CP2.
33. Fisher, R.A. (1930b). Inverse Probability. Abstract published in Report of the British Association for the Advancement of Science, Bristol, p. 302.
34. Fisher, R.A. (1932). Inverse Probability and the Use of Likelihood. Proceedings of the Cambridge Philosophical Society, 28, 257-261. CP3.
35. Fisher, R.A. (1933). The Concepts of Inverse Probability and Fiducial Probability Referring to Unknown Parameters. Proceedings of the Royal Society A, 139, 343-348. CP3.
36. Fisher, R.A. (1934a). Contribution to the Discussion of Neyman (1934). Journal of the Royal Statistical Society, 97, 614-619.
37. Fisher, R.A. (1934b). Two New Properties of Mathematical Likelihood. Proceedings of the Royal Society A, 144, 285-307. CP3.
38. Fisher, R.A. (1934c). Probability, Likelihood and the Quantity of Information in the Logic of Uncertain Inference. Proceedings of the Royal Society A, 146, 1-8. CP3.
39. Fisher, R.A. (1935a). The Design of Experiments. Edinburgh: Oliver & Boyd.
40. Fisher, R.A. (1935b). The Fiducial Argument in Statistical Inference. Annals of Eugenics, 6, 391-398. CP3.
41. Fisher, R.A. (1936). Uncertain Inference. Proceedings of the American Academy of Arts and Science, 71, 245-258, CP3.
42. Fisher, R.A. (1950a). Contributions to Mathematical Statistics. New York: Wiley.
43. Fisher, R.A. (1950b). Note to 'Inverse Probability' in Fisher (1950a, p. 22.572a). CP2.
44. Fisher, R.A. (1956). Statistical Methods and Scientific Inference. Edinburgh: Oliver & Boyd.
45. Fox, K. A. (1989). Agricultural Economists in the Econometric Revolution: Institutional Background and Leading Figures. Oxford Economic Papers, 41, 53-70.
46. Garwood, F. (1934). Some Applications in Statistics of Fiducial Probability, unpublished London University Ph.D. dissertation.
47. Hacking, I. (1980). The Theory of Probable Inference: Neyman, Peirce and Braithwaite. In Science, Belief and Behaviour, Ed. D.H. Mellor, pp. 141. Cambridge University Press.
48. Haldane, J.B.S. (1932). A Note on Inverse Probability. Proceedings of the Cambridge Philosophical Society, 28, 55-61.
49. Hotelling, H. (1927a). Differential Equations Subject to Error, and Population Estimates. Journal of the American Statistical Association, 22, 283-314.
50. Hotelling, H. (1927b). Review of R.A. Fisher's Statistical Methods for Research Workers. Journal of the American Statistical Association, 22, 411-412.
51. Hotelling, H. (1931a). Recent Improvements in Statistical Inference. Journal of the American Statistical Association, 26, 79-89.
52. Hotelling, H. (1931b). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2, 360-378.
53. Hotelling, H. (1953). New Light on the Correlation Coefficient and its Transforms. Journal of the Royal Statistical Society B, 15, 193-232.
54. Irwin, J.O. (1931). Recent Advances in Mathematical Statistics. Journal of the Royal Statistical Society, 94, 568-578.
55. Irwin, J.O. (1953). Contribution to the Discussion of Hotelling (1953). Journal of the Royal Statistical Society B, 15, 223.
56. Jeffreys, H. (1932). On the Theory of Errors and Least Squares. Proceedings of the Royal Society A, 138, 48-55.
57. Lane, D.A. (1980). Fisher, Jeffreys and the Nature of Probability. In R.A. Fisher: An Appreciation, Eds. S.E. Fienberg & D.V. Hinkley, pp. 148-160. New York: Springer.
58. Maskell, E.J. (1929). Experimental Error: A Survey of Recent Advances in Statistical Method (continued). Journal of Tropical Agriculture, 6, 5-11.
59. Maskell, E.J. (1930). Field Experiments. Journal of Tropical Agriculture, 7, 101-104.
60. Morgan, M.S. (1990). The History of Econometric Ideas. Cambridge: Cambridge University Press.
61. Neyman, J. (1934). On the Two Different Aspects of the Representative Method (with discussion). Journal of the Royal Statistical Society, 97, 558-625.
62. Neyman, J. (1937). Outline of a Theory of Statistical Estimation based on the Classical Theory of Probability. Philosophical Transactions of the Royal Society A, 236, 333-380.
63. Neyman, J. (1941). Fiducial Argument and the Theory of Confidence Intervals. Biometrika, 32, 128-150.
64. Neyman, J. (1952). Lectures and Conferences on Mathematical Statistics and Probability, second edition. Washington: Graduate School USDA.
65. Neyman, J. (1977). Frequentist Probability and Frequentist Statistics. Synthese, 36, 97-131.
66. Reid, C. (1982). Neyman-from Life, New York: Springer.
67. Sheppard, W.F. (1929). The Fit of a Formula for Discrepant Observations. Philosophical Transactions of the Royal Society A, 228, 115-150.
68. Smith, W.L. (1978). Harold Hotelling 1895-1973. Annals of Statistics, 6, 1173-1183.
69. Stone, M. (1983). Fiducial Probability. In Encyclopedia of Statistical Science, volume 3, Eds. S. Kotz & N.L. Johnson, pp. 81-85. New York: Wiley.
70. 'Student' (1908). The Probable Error of a Mean. Biometrika, 6, 1-25.
71. Wilson, E.B. (1927). Probable Inference, the Law of Succession and Statistical Inference. Journal of the American Statistical Association, 22, 209-212.
72. Wilson, E.B. (1929). Probable Error of Correlation Results. Journal of the American Statistical Association, Supplement: Proceedings of the American Statistical Association, 24, 90-93.
73. Working, H. & Hotelling, H. (1929). Applications of the Theory of Error to the Interpretation of Trends. Journal of the American Statistical Association, Supplement: Proceedings of the American Statistical Association, 24, 73-85.
74. Zabell, S. (1992). R.A. Fisher and the Fiducial Argument. Statistical Science, 7, 369-387.