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Volumn 11, Issue 1, 1996, Pages 20-34

R. A. Fisher and multivariate analysis

Author keywords

Correlation coefficient; Discriminant analysis; Geometric method; Multiple correlation

Indexed keywords


EID: 0010071412     PISSN: 08834237     EISSN: None     Source Type: Journal    
DOI: 10.1214/ss/1032209662     Document Type: Article
Times cited : (32)

References (58)
  • 3
    • 0001497505 scopus 로고
    • Estimating linear restrictions on regression coefficients for multivariate distributions
    • Anderson, T. W. (1951a). Estimating linear restrictions on regression coefficients for multivariate distributions. Ann. Math. Statist. 22 327-351.
    • (1951) Ann. Math. Statist. , vol.22 , pp. 327-351
    • Anderson, T.W.1
  • 4
    • 0001893585 scopus 로고
    • Classification by multivariate analysis
    • Anderson, T. W. (1951b). Classification by multivariate analysis. Psychometrika 16 31-50.
    • (1951) Psychometrika , vol.16 , pp. 31-50
    • Anderson, T.W.1
  • 8
    • 25444439520 scopus 로고
    • On the exact distribution of D2-statistic
    • 2-statistic. Sankhya 2 143-154.
    • (1936) Sankhya , vol.2 , pp. 143-154
    • Bose, R.C.1
  • 9
    • 0009396834 scopus 로고
    • The distribution of the stu-dentized D2-statistic
    • 2-statistic. Sankhya 4 19-38.
    • (1938) Sankhya , vol.4 , pp. 19-38
    • Bose, R.C.1    Roy, S.N.2
  • 11
    • 0000783733 scopus 로고
    • The distribution of quadratic forms in a normal system, with applications to the analysis of variance
    • Cochran, W. G. (1934). The distribution of quadratic forms in a normal system, with applications to the analysis of variance. Proceedings of the Cambridge Philosophical Society 30 178-191.
    • (1934) Proceedings of the Cambridge Philosophical Society , vol.30 , pp. 178-191
    • Cochran, W.G.1
  • 12
    • 0001676864 scopus 로고
    • On an absolute criterion for fitting frequency curves
    • Fisher, R. a. (1912). On an absolute criterion for fitting frequency curves. Messenger of Mathematics 41 155-160.
    • (1912) Messenger of Mathematics , vol.41 , pp. 155-160
    • Fisher, R.A.1
  • 13
    • 0001165055 scopus 로고
    • Frequency distribution of the values of the correlation coefficient in samples from an indefinitely large population
    • Fisher, R. a. (1915). Frequency distribution of the values of the correlation coefficient in samples from an indefinitely large population. Biometrika 10 507-521.
    • (1915) Biometrika , vol.10 , pp. 507-521
    • Fisher, R.A.1
  • 14
    • 0001259556 scopus 로고
    • A mathematical examination of the methods of determining the accuracy of an observation by the mean error, and the mean square error
    • Fisher, R. a. (1920). A mathematical examination of the methods of determining the accuracy of an observation by the mean error, and the mean square error Monthly Notices of the Royal Astronomical Society 80 758-770.
    • (1920) Monthly Notices of the Royal Astronomical Society , vol.80 , pp. 758-770
    • Fisher, R.A.1
  • 15
    • 0002532939 scopus 로고
    • On the “probable error” of a coefficient of correlation deduced from a small sample
    • Fisher, R. a. (1921). On the “probable error” of a coefficient of correlation deduced from a small sample. Metron 1 3-32.
    • (1921) Metron , vol.1 , pp. 3-32
    • Fisher, R.A.1
  • 16
    • 0001385178 scopus 로고
    • The goodness of fit of regression formulae, and the distribution of regression coefficients
    • Fisher, R. a. (1922). The goodness of fit of regression formulae, and the distribution of regression coefficients. J. Roy. Statist. Soc. 85 597-612.
    • (1922) J. Roy. Statist. Soc. , vol.85 , pp. 597-612
    • Fisher, R.A.1
  • 17
    • 0040481048 scopus 로고
    • The distribution of the partial correlation coefficient
    • Fisher, R. a. (1924a). The distribution of the partial correlation coefficient. Metron 3 329-332.
    • (1924) Metron , vol.3 , pp. 329-332
    • Fisher, R.A.1
  • 18
    • 0002107716 scopus 로고
    • The influence of rainfall on the yield of wheat at Rothamsted
    • Fisher, R. a. (1924b). The influence of rainfall on the yield of wheat at Rothamsted. Philos. Trans. Roy. Soc. London Ser. B 213 89-142.
    • (1924) Philos. Trans. Roy. Soc. London Ser. B , vol.213 , pp. 89-142
    • Fisher, R.A.1
  • 19
    • 0002233478 scopus 로고
    • Application of “Student’s” distribution
    • FISHER, R. A. (1925). Application of “Student’s” distribution. Metron 5 90-104.
    • (1925) Metron , vol.5 , pp. 90-104
    • Fisher, R.A.1
  • 20
    • 0001727379 scopus 로고
    • The general sampling distribution of the multiple correlation coefficient
    • FISHER, R. A. (1928). The general sampling distribution of the multiple correlation coefficient. Proc. Roy. Soc. London Ser. A 121 654-673.
    • (1928) Proc. Roy. Soc. London Ser. A , vol.121 , pp. 654-673
    • Fisher, R.A.1
  • 21
    • 0000764772 scopus 로고
    • The use of multiple measurements in taxonomic problems
    • FISHER, R. A. (1936). The use of multiple measurements in taxonomic problems. Annals of Eugenics 7 179-188.
    • (1936) Annals of Eugenics , vol.7 , pp. 179-188
    • Fisher, R.A.1
  • 22
    • 0001474381 scopus 로고
    • The statistical utilization of multiple measurements
    • FISHER, R. A. (1938). The statistical utilization of multiple measurements. Annals of Eugenics 8 376-386.
    • (1938) Annals of Eugenics , vol.8 , pp. 376-386
    • Fisher, R.A.1
  • 23
    • 0039601031 scopus 로고
    • The sampling distribution of some statistics obtained from nonlinear equations
    • FISHER, R. A. (1939). The sampling distribution of some statistics obtained from nonlinear equations. Annals of Eugenics 9 238-249.
    • (1939) Annals of Eugenics , vol.9 , pp. 238-249
    • Fisher, R.A.1
  • 24
    • 0001573189 scopus 로고
    • The precision of discriminant functions
    • FISHER, R. A. (1940). The precision of discriminant functions. Annals of Eugenics 10 422-429.
    • (1940) Annals of Eugenics , vol.10 , pp. 422-429
    • Fisher, R.A.1
  • 26
    • 3843084806 scopus 로고
    • The simultaneous distribution of correlation coefficients
    • FISHER, R. A. (1962). The simultaneous distribution of correlation coefficients. Sankhya Ser. A. 24 1-8.
    • (1962) Sankhya Ser. A. , vol.24 , pp. 1-8
    • Fisher, R.A.1
  • 28
    • 0000793351 scopus 로고
    • On the sampling theory of roots of de-terminantal equations
    • GIRSHICK, M. A. (1939). On the sampling theory of roots of de-terminantal equations. Ann. Math. Statist. 10 203-224.
    • (1939) Ann. Math. Statist. , vol.10 , pp. 203-224
    • Girshick, M.A.1
  • 29
    • 84977689144 scopus 로고
    • Die Genauigkeit der Formel von Peters zur Berechnung des wahrscheinlichen Beobachtungsfehlers directer Beobachtungen gleicher Genauigkeit. Astronom
    • Helmert, F. R. (1876a). Die Genauigkeit der Formel von Peters zur Berechnung des wahrscheinlichen Beobachtungsfehlers directer Beobachtungen gleicher Genauigkeit. Astronom. Nachr. 88 113-132.
    • (1876) Nachr , vol.88 , pp. 113-132
    • Helmert, F.R.1
  • 30
    • 0346583344 scopus 로고
    • Über die Wahrscheinlichkeit der Potenzsummen der Beobachtungsfehler und über einige damit im Zusammenhange stehende Fragen
    • Helmert, F. R. (1876b). Über die Wahrscheinlichkeit der Potenzsummen der Beobachtungsfehler und über einige damit im Zusammenhange stehende Fragen. Zeitschrift für Mathematik und Physik 21 192-218.
    • (1876) Zeitschrift für Mathematik Und Physik , vol.21 , pp. 192-218
    • Helmert, F.R.1
  • 31
    • 0001038967 scopus 로고
    • The generalization of Student’s ratio
    • Hotelling, H. (1931). The generalization of Student’s ratio. Ann. Math. Statist. 2 360-378.
    • (1931) Ann. Math. Statist. , vol.2 , pp. 360-378
    • Hotelling, H.1
  • 32
    • 0000098440 scopus 로고
    • On the distribution roots of certain determi-nantal equations
    • Hsu, P. L. (1939). On the distribution roots of certain determi-nantal equations. Annals of Eugenics 9 250-258.
    • (1939) Annals of Eugenics , vol.9 , pp. 250-258
    • Hsu, P.L.1
  • 33
    • 25444517297 scopus 로고
    • On the problem of rank and the limiting distribution of Fisher’s test function
    • Hsu, P. L. (1941). On the problem of rank and the limiting distribution of Fisher’s test function. Annals of Eugenics 11 39-41.
    • (1941) Annals of Eugenics , vol.11 , pp. 39-41
    • Hsu, P.L.1
  • 34
    • 24044551443 scopus 로고
    • Mathematical theorems involved in the analysis of variance
    • Irwin, J. O. (1931). Mathematical theorems involved in the analysis of variance. J. Roy. Statist. Soc. 94 284-300.
    • (1931) J. Roy. Statist. Soc. , vol.94 , pp. 284-300
    • Irwin, J.O.1
  • 35
    • 58149508609 scopus 로고
    • On the independence of the constituent items in the analysis of variance
    • Irwin, J. O. (1934). On the independence of the constituent items in the analysis of variance. J. Roy. Statist. Soc. Suppl. 1 236-251.
    • (1934) J. Roy. Statist. Soc. Suppl. , vol.1 , pp. 236-251
    • Irwin, J.O.1
  • 36
    • 84948086880 scopus 로고
    • Helmert’s distribution
    • Kruskal, W. H. (1946). Helmert’s distribution. Amer. Math. Monthly 53 435-438.
    • (1946) Amer. Math. Monthly , vol.53 , pp. 435-438
    • Kruskal, W.H.1
  • 37
    • 85037895558 scopus 로고
    • Review of “Forerunners of the Pearson X2” by H. O. Lancaster
    • 2” by H. O. Lancaster. Math. Rev. 36 916.
    • (1968) Math. Rev. , vol.36 , pp. 916
    • Kruskal, W.H.1
  • 40
    • 34447518018 scopus 로고
    • On the distribution of characteristic roots of normal second-moment matrices
    • Mööd, A. M. (1951). On the distribution of characteristic roots of normal second-moment matrices. Ann. Math. Statist. 22 266-273.
    • (1951) Ann. Math. Statist. , vol.22 , pp. 266-273
    • Mööd, A.M.1
  • 41
    • 0041620408 scopus 로고
    • Studies in the history of probability and statistics. XX. Some early correspondence between W. S. Gossett, R. A. Fisher and Karl Pearson, with notes and comments
    • Pearson, E. S. (1968). Studies in the history of probability and statistics. XX. Some early correspondence between W. S. Gossett, R. A. Fisher and Karl Pearson, with notes and comments. Biometrika 55 445-467.
    • (1968) Biometrika , vol.55 , pp. 445-467
    • Pearson, E.S.1
  • 42
    • 0000629279 scopus 로고
    • Mathematical contributions to the theory of evolution. III. Regression, heredity and panmixia
    • Pearson, K. (1896). Mathematical contributions to the theory of evolution. III. Regression, heredity and panmixia. Philos. Trans. Roy. Soc. London Ser. A 187 253-318.
    • (1896) Philos. Trans. Roy. Soc. London Ser. A , vol.187 , pp. 253-318
    • Pearson, K.1
  • 43
    • 0001454867 scopus 로고
    • On the criterion that a given system of derivations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling
    • Pearson, k. (1900). On the criterion that a given system of derivations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Series 5 50 157-175.
    • (1900) The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Series , vol.5 , Issue.50 , pp. 157-175
    • Pearson, K.1
  • 44
    • 0013003236 scopus 로고
    • On the distribution of the standard deviations of small samples. Appendix I to papers by “Student” and R. A. Fisher
    • Peakson, K. (1915). On the distribution of the standard deviations of small samples. Appendix I to papers by “Student” and R. A. Fisher. Biometrika 10 522-529.
    • (1915) Biometrika , vol.10 , pp. 522-529
    • Peakson, K.1
  • 46
    • 0039048571 scopus 로고
    • R. A. Fisher: The founder of modern statistics
    • Rao, C. R. (1992). R. A. Fisher: the founder of modern statistics. Statist. Sci. 7 34-48.
    • (1992) Statist. Sci. , vol.7 , pp. 34-48
    • Rao, C.R.1
  • 47
    • 0041611607 scopus 로고
    • P-statistics or some generalisations in analysis of variance appropriate to multivariate problems
    • Roy, S. N. (1939). p-statistics or some generalisations in analysis of variance appropriate to multivariate problems. Sankhya 4 381-396.
    • (1939) Sankhya , vol.4 , pp. 381-396
    • Roy, S.N.1
  • 48
    • 0007280722 scopus 로고
    • On rereading R. A. Fisher
    • Savage, L. J. (1976). On rereading R. A. Fisher. Ann. Statist. 4 441-500.
    • (1976) Ann. Statist. , vol.4 , pp. 441-500
    • Savage, L.J.1
  • 49
    • 0012960233 scopus 로고
    • On the probable error of the correlation coefficient to a second approximation
    • Soper, H. E. (1913). On the probable error of the correlation coefficient to a second approximation. Biometrika 9 91-115.
    • (1913) Biometrika , vol.9 , pp. 91-115
    • Soper, H.E.1
  • 50
    • 0001546571 scopus 로고
    • On the distribution of the correlation coefficient in small samples. Appendix II to the papers of “Student” and R. A. Fisher. A co-operative study
    • Soper, H. E., Young, A. W., Cave, B. M., Lee, A. and Pearson, K. (1917). On the distribution of the correlation coefficient in small samples. Appendix II to the papers of “Student” and R. A. Fisher. A co-operative study. Biometrika 11 328-413.
    • (1917) Biometrika , vol.11 , pp. 328-413
    • Soper, H.E.1    Young, A.W.2    Cave, B.M.3    Lee, A.4    Pearson, K.5
  • 52
    • 0345399126 scopus 로고
    • The probable error of a mean
    • Student (1908a). The probable error of a mean. Biometrika 6 1-25.
    • (1908) Biometrika , vol.6 , pp. 1-25
  • 53
    • 0012950031 scopus 로고
    • Probable error of a correlation coefficient
    • Student (1908b). Probable error of a correlation coefficient. Biometrika 6 302-310.
    • (1908) Biometrika , vol.6 , pp. 302-310
  • 55
    • 0002125597 scopus 로고
    • The generalized product moment distribution in samples from a normal multivariate population
    • Wishart, J. (1928). The generalized product moment distribution in samples from a normal multivariate population. Biometrika 20A 32-52.
    • (1928) Biometrika , vol.20A , pp. 32-52
    • Wishart, J.1
  • 56
    • 84868064742 scopus 로고
    • Statistics in agricultural research
    • Wishart, J. (1934). Statistics in agricultural research. J. Roy. Statist. Soc. Suppl. 1 26-51.
    • (1934) J. Roy. Statist. Soc. Suppl. , vol.1 , pp. 26-51
    • Wishart, J.1
  • 57
    • 0242386138 scopus 로고
    • Proofs of the distribution law of the second order moment statistics
    • Wishart, J. (1948). Proofs of the distribution law of the second order moment statistics. Biometrika 35 55-57.
    • (1948) Biometrika , vol.35 , pp. 55-57
    • Wishart, J.1
  • 58
    • 0000382824 scopus 로고
    • On the theory of correlation
    • Yule, G. U. (1897). On the theory of correlation. J. Roy. Statist. Soc. 60 812-854.
    • (1897) J. Roy. Statist. Soc. , vol.60 , pp. 812-854
    • Yule, G.U.1


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