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Journal of the American Statistical Association Volume 65, 1970 - Issue 329
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Theory and Method

On the Exact Distribution of Pillai's V(s) Criterion

K. C. Sreedharan Pillai Purdue University, USA
&
Kanta Jayachandran Ph.D. Purdue University, USA
Pages 447-454 | Published online: 05 Apr 2012

References

  • Fisher , R. A. 1939 . “The Sampling Distribution of Some Statistics Obtained from Nonlinear Equations,” . Annals Eugenics, London , 9 : 238 – 49 .
  • Girshick , M. A. 1939 . “On the Sampling Theory of the Roots of Determinantal Equations,” . Annals of Mathematical Statistics , 10 : 203 – 24 .
  • Hsu , P. L. 1939 . “On the Distribution of Roots of Certain Determinantal Equations,” . Annals Eugenics, London , 9 : 250 – 8 .
  • Mikhail , M. N. 1965 . “A Comparison of Tests of the Wilks-Lawley Hypothesis in Multivariate Analysis,” . Biometrika , 52 : 149 – 56 .
  • Nanda , D. N. 1948 . “Limiting Distribution of the Root of a Determinantal Equation,” . Annals of Mathematical Statistics , 19 : 340 – 50 .
  • Nanda , D. N. 1950 . “Distribution of the Sum of Roots of a Determinantal Equation under a Condition,” . Annals of Mathematical Statistics , 21 : 432 – 9 .
  • Pillai , K. C. S. 1954 . “On Some Distribution Problems in Multivariate Analysis,” , Institute of Statistics, University of North Carolina . Mimeograph Series No. 88
  • Pillai , K. C. S. 1955 . “Some New Test Criteria in Multivariate Analysis,” . Annals of Mathematical Statistics , 26 : 117 – 21 .
  • Pillai , K. C. S. 1956 . “Some Results Useful in Multivariate Analysis,” . Annals of Mathematical Statistics , 27 : 1106 – 14 .
  • Pillai , K. C. S. 1960 . Statistical Tables for Tests of Multivariate Hypotheses , The Statistical Center, University of the Philippines .
  • Pillai , K. C. S. 1964 . “On the Moments of Elementary Symmetric Functions of the Roots of Two Matrices,” . Annals of Mathematical Statistics , 35 : 1704 – 12 .
  • Jayachandran , K. 1967 . “Power Comparisons of Tests of Two Multivariate Hypotheses Based on Four Criteria,” . Biometrika , 54 : 195 – 210 .
  • Jayachandran , K. August 1967 . “On the Exact Distribution of Pillai's Vs Criterion,” , August , Department of Statistics, Purdue University . Mimeograph Series No. 115
  • Roy , S. N. 1939 . “p-Statistics or Some Generalizations in Analysis of Variance Appropriate to Multivariate Problems,” . Sankyā , 4 : 381 – 96 .

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