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On the distributions of the hotelling’ST2-statistics

  • Minoru Siotani
Article

Keywords

Beta Function Frequency Function Multivariate Normal Distribution Linear Hypothesis Incomplete Beta Function 

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References

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    Hotelling, H. and Frankel, I.. R., “Transformation of statistics to simplify their distribution,”Ann. Math. Slat., Vol. 9, pp. 87–96.Google Scholar
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    Hotelling, H., Multivariate quality control, illustrated by the air testing of sample bombsights,Selected Techniques of Statistical Analysis, edited by Eisenhart, Hastay and Wallis, Chap. 3, McGraw-Hill, New York, 1947.Google Scholar
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    Hotelling, H., “A generalizedT measure of multivariate dispersion,”abstract,Amn. Math. Slat., Vol. 18 (1947), p. 298.Google Scholar
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    Hotelling, H, “A generalized T test and measure of multivariate dispersion,”Proceedings of the Second Berkely Symposium on Mathematical Statistics and Probability, edited by J. Neyman, University of California Press, 1951, pp. 23–41.Google Scholar
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    James, G.S., “The comparison of several groups of observations when the ratios of the population variances are unknown,”Biometrika, Vol. 38, (1951), pp. 324–329.MathSciNetCrossRefGoogle Scholar
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    James, G. S., “Tests of linear hypotheses in univariate and multivariate analysis when the ratios of the population variances are unknown,”Biomelrica, Vol. 41 (1954), pp. 19–43.MathSciNetMATHGoogle Scholar
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    Pearson, K., (editor),Tables of the Incomplete Beta Function, Biometrika Office, London, 1948.MATHGoogle Scholar
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    Siotani, M., “On the distribution of the Hotelling’s T2-statistics”The Proceedings of the Institute of Statistical Mathematics, (in Japanese), Vol. 4, No. 1, (1956), pp. 33–42.MathSciNetGoogle Scholar

Copyright information

© The Institute of Statistical Mathematics, Tokyo 1956

Authors and Affiliations

  • Minoru Siotani
    • 1
  1. 1.The Institute of Statistical MathematicsJapan

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