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Some Problems Connected with Statistical Inference

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Cox, D. R.·1958·The Annals of Mathematical Statistics
DOI 10.1214/aoms/1177706618
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  • The problem of forking paths may be avoided altogether if researchers and their readers condition reported p values on the analytical path that is actually followed in that particular sample rather than on the two potential paths that might be followed in hypothetical replications.

    “the problem of forking paths may be avoided altogether if researchers and their readers condition reported p values on the analytical path that is actually followed in that particular sample rather than on the two potential paths that might be followed in hypothetical replications”

    From Does preregistration improve the credibility of research findings? (2020) · cites this paper as Cox, 1958, p. 359-361

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  1. [1][1] F. J. AnscomBE, "Contribution to the discussion of a paper by F. N. David and N. L. Johnson" J.R. Stat. Soc., B, Vol. 18, (1956), pp. 24–27. -
  2. [2][2] F. J. AnscomBE, "Dependence of the fiducial argument on the sampling rule", Biometrika, Vol. 44 (1957), pp. 464–469. -
  3. [3][3] R. R. BAHADUR AND L. J. SAvAGE, "The non-existence of certain statistical procedures in non-parametric problems", Ann. Math. Stat., Vol. 27 (1956), pp. 1115-1122. -
  4. [4][4] G. A. BArNArD, "The meaning of a significance level", Biometrika, Vol. 34 (1947), pp. 179-182. -
  5. [5][5] G. A. BARNArD, "Statistical inference", J.R. Stat. Soc., Suppl., Vol. 11 (1949), pp. 115-139. -
  6. [6][6] M. S. BARTLETT, "A note on the interpretation of quasi-sufficiency", Biometrika, Vol. 31 (1939), pp. 391–392. -
  7. [7][7] M. S. BArTLETT, "Comment on Sir Ronald Fisher's paper", J.R. Stat. Soc., B, Vol. 18 (1956), pp. 295–296. -
  8. [8][8] H. CHERNoFF, "A property of some type of A regions", Ann. Math. Stat., Vol. 22 (1951), pp. 472–474. -
  9. [9][9] M. A. CREAsy, "Limits for the ratio of means", J.R. Stat. Soc., B, Vol. 16 (1954), pp. 186-194. -
  10. [10][10] R. A. FisHER, "The logic of inductive inference", J.R. Stat. Soc., Vol. 98 (1935), pp. 39-54. -
  11. [11][11] R. A. FisHER, 'Statistical methods and scientific induction", J.R. Stat. Soc., B, Vol. 17 (1955), 69–78. -
  12. [12][12] R. A. FisíER, "On a test of significance in Pearson's Biometrika Table No. 11", J.R. Stat. Soc., B, Vol. 18 (1956), pp. 56–60. -
  13. [14][14] W. HoEFFDING, '"The role of assumptions in statistical decisions", Proc. 3rd Berkeley Symp., Vol. 1 (1955), pp. 105–114. -
  14. [15][15] S. KARLIN AND H. RuBIN, "Theory of decision procedures for distributions with monotone likelihood ratio", Ann. Math. Stat., Vol. 27 (1956), pp. 272–299. 16. y, a a , nn 1m. Stat. Assn. Vol. 50 (1955), pp. 946–967. -
  15. [17][17] H. JEFFREys, The theory of probability. Oxford, 2nd ed., 1946. - [19] D. V. LINDLEy, "A statistical paradox", Biometrika, Vol. 44 (1957), pp. 187-192. 19. I ss n n st mation, II, Sankhya, Vol. 15 (1955), pp. 219–236. - [20] J. G. MauLdoN, "Pivotal quantities for Wishart's and related distributions and a paradox in fiducial theory", J.R. Stat. Soc., B, Vol. 17 (1955), pp. 79–85. - [21] J. NEyMAN, "Note on an article by Sir Ronald Fisher", J.R. Stat. Soc., B, Vol. 18 (1956), pp. 288–294. - [22] J. NErmAN, "Outline of a theory of statistical estimation based on the classical theory of probability", Phil. Trans. Roy. Soc., A, Vol. 236 (1937), pp. 333–380. - [24] E. S. PEArsoN, "Statistical concepts in their relation to reality", J.R. Stat. Soc. B, Vol. 17 (1955), pp. 204–207. - [23] A. R. G. OwEN, "Ancillary statistics and fiducial distributions", Sankhya, Vol. 9, (1948), pp. 1–18.. - [25] J. PRzYBorowsKI AND J. WILENsKI, "Homogeneity of results in testing samples from Poisson series", Biometrika, Vol. 31 (1939), pp. 313–323. - [26] C. STEIN, "A property of some tests of composite hypotheses", Ann. Math. Stat., Vol. 22 (1951), pp. 475–476. - [28] J. W. TukEy, "Some examples with fiducial relevance", Ann. Math. Stat., Vol. 28 (1957), pp. 687–695. - [27] J. W. TukEy, "Fiducial inference", unpublished lectures. - [29] B. L. WELcH, "On confidence limits and sufficiency with particular reference to parameters of location", Ann. Math. Stat., Vol. 10 (1939), pp. 58–69. - [30] B. L. WELcí, "Generalisation of Student's problem", Biometrika, Vol. 34 (1947), pp. 28-35. - [31] B. L. WELcH, "Note on some criticisms made by Sir Ronald Fisher", J.R. Stat. Soc., B, Vol. 18 (1956), pp. 297–302.

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Authors
Cox, D. R.
Corresponding author
Cox, D. R.
Venue
The Annals of Mathematical Statistics
Publisher
Institute of Mathematical Statistics
Published
1958-06
Volume
29
Issue
2
Pages
357-372
ISSN
0003-4851 (ISSN-L)
DOI
10.1214/aoms/1177706618
OpenAlex
W3023006322
Cited by
536
References
0
Citations by year
2026: 4 · 2025: 14 · 2024: 18 · 2023: 17 · 2022: 18 · 2021: 14 · 2020: 14 · 2019: 10 · 2018: 32 · 2017: 19 · 2016: 16 · 2015: 9 · 2014: 27 · 2013: 15 · 2012: 13
FWCI
7.17
Type
journal article
Language
en
Open access
Locations
  • The Annals of Mathematical Statistics (publishedVersion)
  • Project Euclid (Cornell University) (submittedVersion)
Topics
  • Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
Keywords
statistical inference

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