R. A. Fisher: The founder of modern statistics

Statistical Science

Volumn 7, Issue 1, 1992, Pages 34-48

  Radhakrishna Rao, C ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

Ancillary statistics; Bayes theorem; Confounding; Consistency; Efficiency; F test; Factorial experiments; Fiducial probability; Fisher information; Fisher optimal scores; Likelihood; Local control; Maximum likelihood; Nonparametric tests; Randomization; Regression; Replication; Roots of determinantal equation; Sufficiency

Indexed keywords

EID: 0039048571     PISSN: 08834237     EISSN: None     Source Type: Journal    
DOI: 10.1214/ss/1177011442     Document Type: Article

References (57)

1. AKAHIRA, M. and TAKEUCHI, K. (1981). Asymptotic Efficiency of Statistical Estimators: Concepts of Higher Order Asymptotic Efficiency. Springer, New York.
2. AKAIKE, H. (1973). Information theory and extension of the maximum likelihood principle. In Proceedings, 2nd International Symposium on Information Theory (B. N. Petrov et al., eds.) 267-281. Akademiai Kiado, Budapest.
3. BAHADUR, R. R. (1958). Examples of inconsistency of maximum likelihood estimates. Sankhyā 20 207-210.
4. BAILEY, R. A. (1991). Strata for randomized experiments (with discussion). J. Roy. Statist. Soc. Ser. B 53 27-78.
5. BAILEY, R. A. and ROWLEY, C. A. (1987). Valid randomization. Proc. Roy. Soc. London Ser. A 410 105-124.
6. BARNARD, G. A. (1963). Fisher’s contributions to mathematical statistics. J. Roy. Statist. Soc. Ser. A 126 162-166.
7. BASU, D. (1988). Statistical Information and Likelihood: A Collection of Critical Essays. Lecture Notes in Statist. 45. Springer, New York.
8. BOSE, R. C. and SHRIKANDE, S. S. (1959). On the falsity of Euler conjecture about the non-existence of two orthogonal Latin squares of order 4t + 2. Proc. Nat. Acad. Sci. U.S.A. 45 734-737.
9. COX, D. R. (1958). Some problems connected with statistical inference. Ann. Math. Statist. 29 357-372.
10. COX, D. R. (1978). Foundations of statistical inference: The case for eclecticism. Austral. J. Statist. 20 43-59.
11. DAWID, A. P. (1991). Fisherian inference in likelihood and prequential frames of reference (with discussion). J. Roy. Statist. Soc. Ser. B 53 79-110.
12. ECKART, C. and YOUNG, G. (1936). The approximation of one matrix by another of lower rank. Psychometrika 1 211-218.
13. EFRON, B. (1975). Defining the curvature of a statistical problem, with applications to second order efficiency (with discussion). Ann. Statist. 3 1189-1242.
14. FAIRFIELD SMITH, H. (1936). A discriminant function for plant selection. Annals of Eugenics 7 240-250.
15. FISHER, R. A. (1931). Principles of plot experimentation in relation to the statistical interpretation of the results. In Rothamsted Conferences 13 11-13.
16. FOUTZ, R. V. and SRIVASTAVA, R. C. (1977). The performance of the likelihood ratio test when the model is incorrect. Ann. Statist. 5 1183-1194.
17. GOSH, J. K. and SUBRAMANIAM, K. (1974). Second order efficiency of maximum likelihood estimators. Sankhyā Ser. A 36 325-358.
18. GOWER, J. C. (1990). Fisher’s optimal scores and multiple correspondence analysis. Biometrics 46 947-961.
19. GREELAND, S. (1991). On the logical justification of conditional tests for the two-by-two contingency tables. Amer. Statist. 45 248-251.
20. GREENACRE, M. J. (1984). Theory and Applications of Multiple Correspondence Analysis. Academic, London.
21. GRUNDY, P. M. and HEALY, M. J. R. (1950). Restricted randomization and quasi-latin squares. J. Roy. Statist. Soc. Ser. B 12 286-291.
22. KALLIANPUR, G. and Rao, C. R. (1955). On Fisher’s lower bound to asymptotic variance of a consistent estimate. Sankhyā 16 331-342.
23. MAHALANOBIS, P. C. (1938). Professor Ronald Aylmer Fisher. Sankhyā 4 265-272.
24. MARDIA, K. V. (1972). Statistics of Directional Data. Academic, London.
25. MARTIN, E. S. (1936). A study of an Egyptian series of mandibles with special reference to mathematical methods of sexing. Biometrika 28 149.
26. MATHEN, K. K. (1954). Note on design of experiments and testing the efficiency of drugs having local healing power. Sankhyā 14 175-180.
27. MAUNG, K. (1941). Measurement of association in a contingency table with special reference to pigmentation of hair and eye colour in Scottish school children. Annals of Eugenics 11 189-223.
28. MEHTA, M. L. (1967). Random Matrices and Statistical Theory of Energy Levels. Academic, New York.
29. NEYMAN, J. (1935). Statistical problems in agricultural experimentation. J. Roy. Statist. Soc. Suppl. 2 107-154.
30. NEYMAN, J. (1951). Review of Fisher’s Collected Papers. Scientific Monthly LXii 406-408.
31. NISHI, R. (1988). Maximum likelihood principle and model selection when the true model is unspecified. J. Multivariate Anal. 27 392-403.
32. PEARSON, K. (1900). On the criterion that a given system of deviations from the probable in a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. Philosophical Magazine Series V 157-175.
33. PREECE, D. A. (1990). R. A. Fisher and experimental design: A review. Biometrics 46 925-935.
34. RAO, C. R. (1949). On a class of arrangements. Proc. Edinburgh Math. Soc. (2) 8 119-125.
35. RAO, C. R. (1953). Discriminant function for genetic differentiation and selection. Sankhyā 12 229-246.
36. RAO, C. R. (1955). Theory of the method of estimation by minimum chi-square. Bull. Inst. Internat. Statist. 35 25-32.
37. RAO, C. R. (1959). Expected values of mean squares in the analysis of incomplete block experiments and some comments based on them. Sankhyā 21 327-336.
38. RAO, C. R. (1960). Experimental designs with restricted randomization. Bull. Inst. Internat. Statist. 37 394-404.
39. RAO, C. R. (1961a). Apparent anomolies and irregularities in MLE. Sankhyā Ser. A 24 73-101.
40. RAO, C. R. (1961b). Asymptotic efficiency and limiting information. In Proc. Fourth Berkeley Symp. Math. Statist. Probab. 1 531-546. Univ. California Press, Berkeley.
41. RAO, C. R. (1963). Criteria of estimation in large samples. Sankhyā Ser. A 25 189-206.
42. RAO, C. R. (1964). R. A. Fisher-The architect of multivariate analysis. Biometrics 20 286-300.
43. RAO, C. R. (1965). On discrete distributions arising out of methods of ascertainment. Sankhyā Ser. A 27 311-324.
44. RAO, C. R. (1971). Some aspects of statistical inference in problems of sampling from finite populations. In Foundations of Statistical Inference (V. P. Godambe and D. A. Sprott, eds.) 177-202. Holt, Rinehart and Winston, Toronto.
45. RAO, C. R. (1975). Some problems of sample surveys. Adv. in Appl. Probab. 7 50-61.
46. RAO, C. R. (1984). Discussion on “Present position and potential developments: Some personal views, multivariate analysis” by R. Sibson. J. Roy. Statist. Soc. Ser. A 147 205-207.
47. RAO, C. R. and Wu, Y. (1989). A strongly consistent procedure for model selection in regression problem. Biometrika 76 369-374.
48. RISSANEN, J. (1978). Modeling by shortest data description. Automatica 14 465-471.
49. SAVAGE, L. J. (1981). The Writings of Leonard Jimmie Savage. A Memorial Selection. Amer. Statist. Assoc, and IMS, Hayward, Calif.
50. SCHWARZ, G. (1978). Estimating the dimension of a model. Ann. Statist. 6 461-464.
51. STUDENT (1908). The probable error of a mean. Biometrika 6 1-25.
52. WHITE, H. (1982). Maximum likelihood estimation of misspecified models. Econometrika 50 1-25.
53. WOLFOWITZ, J. (1967). Remarks on the theory of testing of hypotheses. New York Statistician 18 1-3.
54. YATES, F. (1964). Sir Ronald Fisher and the design of experiments. Biometrics 20 307-321.
55. YATES, F. and MATHER, K. (1963). Ronald Aylmer Fisher, 1890-1962. Bibliographic Memoirs of Fellows of the Royal Society of London 9 91-129.
56. YOUDEN, W. J. (1972). Randomization and experimentation. Technometrics 14 13-22.
57. ZHAO, L. C., KRISHNAIAH, P. R. and BAI, Z. D. (1986). On the detection of the number of signals in the presence of white noise. J. Multivariate Anal. 20 1-25.