36
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

An approximation for the hotelling-lawley trace in the noncentral case

Pages 3169-3183 | Received 01 May 1987, Published online: 27 Jun 2007

References

  • Graybill , F. A . 1983 . Matrices with Applications in Statis¬tics , Belmont: Wadsworth .
  • Guenther , W.C. 1979 . The use of noncentral F approximations for calculation of power and sample size . The American Stat¬istician , 33 : 209 – 210 .
  • Hughes , D.T. and Saw , J.G. 1972 . Approximating percentage points of Hotelling's To 2statistic . Biometrika , 59 : 224 – 226 .
  • Houston . 1984 . International Mathematical and Statistical Library
  • Kshirsager , A. M . 1983 . A Course inLinear Models , New York : Marcel Dekker, Inc .
  • Lauter , J. 1974 . Approximation des Hotelling-schen T2durch die F-Verteilung . Biometrische Zeitschrift , 16 : 191 – 202 .
  • Mardia , K.V. and Zemroch , P. J . 1978 . Tables of the F- and Related Distributions with Algorithms , New York : Academic Press .
  • Magnus , J.R. and Neudecker , H. 1979 . The commutation matrix: Some properties and applications . The Annals of Statistics , 7 : 381 – 394 .
  • McKeon , J, J . 1974 . F approximations to the distribution of Hotelling's To 2 . Biometrika , 6 : 381 – 383 .
  • Muirhead , R. J . 1972 . The asymptotic noncentral distribution of Hotel ling's generalized To 2 . The Annals of Mathematical Statistics , 43 : 1671 – 1677 .
  • Muirhead , R.J. 1982 . Aspects of Multivariate Statistical Theory , New York : Wiley .
  • Olson , C.L. 1973 . A Monte Carlo investigation of the robustness of multivariate analysis of variance , University of Toronto .
  • Olson , C.L. 1974 . Comparative robustness of six tests in multivariate analysis of variance . Journal of the American Statistical Association , 6 : 894 – 898 .
  • Patnaik , P.B. 1949 . The noncentral chi-square and F-distributions and their applications . Biometrika , 36 : 202 – 232 .
  • Pillai , K. C. S and Jayachandran , K. 1967 . Power comparisons of tests of two multivariate hypotheses based on four criteria . Biometrika , 5 : 195 – 210 .
  • Pillai , K.C.S. and Samson , P. 1959 . On Hotel ling's generalization of T2 . Biometrika , 46 : 160 – 168 .
  • Pillai , K.C.S. and Young , D.L. 1971 . On the exact distribution of Hotelling's generalized To 2 . Journal of Multivaritive Analysis , 46 : 90 – 107 .
  • Seber , A. F . 1984 . Multivariate Observations , Newyork : Wiley .
  • Siotani , M. 1971 . An asymptotic expansion of the non-null distribution of Hotelling's generalized T2 -statistic . The Annals of Mathematical Statistics , 42 : 560 – 571 .
  • Tiku , M.L. 1966 . A note on approximating to the noncentral F-distribution . Biometrika , 53 : 606 – 610 .
  • Winer , B. J . 1971 . Statistical Principals in Experimental Design , New York : McGraw-Hill .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.