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Journal of the American Statistical Association Volume 73, 1978 - Issue 362
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Theory and Method

The Exact Distribution of Bartlett's Test Statistic for Homogeneity of Variances with Unequal Sample Sizes

Min-Te Chao Bell Laboratories, Holmdel, NJ, 07733, USA
&
Ronald E. Glaser Department of Mathematics, University of California, Davis, CA, 95616, USA
Pages 422-426 | Received 01 Jun 1977, Published online: 05 Apr 2012

References

  • Barnes , E. W. 1899 . “The Theory of the Gamma Function,” . Messenger of Mathematics , 29 : 64 – 128 .
  • Bartlett , M. S. “Properties of Sufficiency and Statistical Tests,” . Proceedings of the Royal Society of London, Ser. A . Vol. 160 , pp. 268 – 282 .
  • Box , G. E.P. 1949 . “A General Distribution Theory for a Class of Likelihood Criteria,” . Biometrika , 36 : 317 – 346 .
  • Box , G. E.P. 1953 . “Non-Normality and Tests on Variances,” . Biometrika , 40 : 318 – 335 .
  • Brown , George W. 1939 . “On the Power of the L 1 Test for Equality of Several Variances,” . Annals of Mathematical Statistics , 10 : 119 – 128 .
  • Glaser , Ronald E. 1974 . “The Ratio of the Geometric Mean to the Arithmetic Mean for a Random Sample from a Gamma Distribution,” , Department of Mathematical Sciences, Johns Hopkins University . Technical Report No. 190
  • Glaser , Ronald E. 1976a . “The Ratio of the Geometric Mean to the Arithmetic Mean for a Random Sample from a Gamma Distribution,” . Journal of the American Statistical Association , 71 : 480 – 487 .
  • Glaser , Ronald E. 1976b . “Exact Critical Values for Bartlett's Test for Homogeneity of Variances,” . Journal of the American Statistical Association , 71 : 488 – 490 .
  • Hardy , G. H. , Littlewood , J. E. and Pólya , G. 1952 . Inequalities , Cambridge , , England : Cambridge University Press .
  • Hartley , H. O. 1940 . “Testing the Homogeneity of a Set of Variances,” . Biometrika , 31 : 249 – 255 .
  • Parzen , Emanuel . 1960 . Modern Probability Theory and Its Applications , New York : John Wiley & Sons .
  • Pearson , E. S. and Hartley , H. O. 1966 . Biometrika Tables for Statisticians, , 3rd ed. , Vol. 1 , Cambridge , , England : Cambridge University Press .
  • Pitman , E. J.G. “The ‘Closest’ Estimates of Statistical Parameters,” . Proceedings of the Cambridge Philosophical Society . Vol. 33 , pp. 212 – 222 .
  • Pitman , E. J.G. 1939 . “Tests of Hypotheses Concerning Location and Scale Parameters,” . Biometrika , 31 : 200 – 215 .
  • Thompson , Catherine M. and Merrington , Maxine . 1946 . “Tables for Testing the Homogeneity of a Set of Estimated Variances,” . Biometrika , 33 : 296 – 304 .

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