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Journal of the American Statistical Association Volume 70, 1975 - Issue 350
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Theory and Method

On Independence of Sample Mean and Translation Invariant Statistics of Samples from Multivariate Normal Populations

J. P. Basu Lockheed Electronics Co., Aerospace Systems Division, Houston, Tex., 77058, USA
,
P. L. Odell University of Texas at Dallas, Richardson, Tex., 75080, USA
,
T. O. Lewis Department of Mathematics, Texas Tech University, Lubbock, Tex., 79409, USA
&
A. Kinderman Department of Statistics, Carnegie-Mellon University, Pittsburgh, Pa., 15213, USA
Pages 480-481 | Received 01 Feb 1973, Published online: 06 Apr 2012

References

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  • Basu , J. P. , Odell , P. O. , Lewis , T. O. and Odell , P. L. 1974 . “Effect of Intraclass Correlation Among Training Samples on the Misclassification Procedure of Bayes Procedures,” . Pattern Recognition , 6 ( 1 ) : 13 – 16 .
  • Basu , J. P. “On the Effect of Intraclass Correlation on Two Tests Concerning Dispersion Matrix of a Normal Population,” . Annals of Statistics , in press
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  • Hajek , J. 1958 . “On the Distribution of Some Statistics in the Presence of Intraclass Correlation,” . In Selected Translations in Mathematical Statistics and Probability , Vol. 2 , 75 – 9 . American Mathematical Society .
  • Halperin , M. 1951 . “Normal Regression Theory in the Presence of Intraclass Correlation,” . Annals of Mathematical Statistics , 22 December : 573 – 80 .
  • Hogg , R. V. 1960 . “Certain Uncorrelated Statistics,” . Journal of the American Statistical Association , 55 June : 265 – 7 .
  • Lehmann , E. L. 1959 . Testing Statistical Hypothesis , New York : John Wiley and Sons, Inc. .
  • Lukacs , E. and Laha , R. G. 1964 . Applications of Characteristics Functions , New York : Hafner Press .
  • Olkin , I. “Testing and Estimation for Structures Which Are Circularly Symmetric in Block,” . Proceedings of the Symposium on Multivariate Analysis . Dalhousie , Nova Scotia . pp. 183 – 95 .
  • Walsh , J. E. 1947 . “Concerning the Effect of Intraclass Correlation on Certain Significance Tests,” . Annals of Mathematical Statistics , 18 March : 88 – 96 .

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