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Journal of the American Statistical Association Volume 66, 1971 - Issue 336
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Theory and Method

Power Function of the F-Test Under Non-Normal Situations

M. L. Tiku Department of Applied Mathematics, McMaster University, Hamilton, Ontario, Canada
Pages 913-916 | Published online: 05 Apr 2012

References

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  • Johnson , N. L. 1951 . “The Effect of Non-Normality on the Power Function of the F-Test in the Analysis of Variance,” . Biometrika , 38 June : 43 – 57 .
  • Donaldson , T. S. 1968 . “Robustness of the F-Test to Errors of Both Kinds and the Correlation between the Numerator and Denominator of the F-Ratio,” . Journal of the American Statistical Association , 63 June : 660 – 7 .
  • Gayen , A. K. 1950 . “The Distribution of the Variance Ratio in Random Samples of Any Size from Non-Normal Universes,” . Biometrika , 37 December : 236 – 55 .
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  • Hack , H. R. B. 1958 . “An Empirical Investigation into the Distribution of the F-Ratio in Samples from Two Non-Normal Populations,” . Biometrika , 45 June : 260 – 5 .
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  • Pearson , Karl . 1919 . Tables of the Incomplete β-Function , London : Cambridge University Press .
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  • Soper , H. E. 1919 . “The Numerical Evaluation of the Incomplete β-Function,” , London : Cambridge University Press . Tracts of computers, No. VI
  • Srivastava , A. B. L. 1959 . “Effect of Non-Normality on the Power of the Analysis of Variance Test,” . Biometrika , 46 June : 114 – 22 .
  • Tang , P. C. 1938 . “Power of the F-Test in Terms of Non-Central F-Distribution,” 126 – 49 . Statistics Research Memoirs, No. 2
  • Scheffé , H. 1967 . The Analysis of Variance , New York : John Wiley & Sons, Inc., New York .
  • Tiku , M. L. 1964 . “Approximating the General Non-Normal Variance-Ratio Sampling Distributions.” . Biometrika , 51 June : 83 – 95 .
  • Tiku , M. L. 1964 . “A Laguerre Product Series Expansion of the Distribution of Variance-Ratios in Two-Way-Classification,” . Journal of Indian Society of Agricultural Statistics , 16 December : 304 – 16 .
  • Tiku , M. L. 1965 . “Laguerre Series Forms of Non-Central x2 and F Distributions,” . Biometrika , 52 December : 415 – 27 .
  • Tiku , M. L. 1967 . “Tables of the Power of the F-Test,” . Journal of the American Statistical Association , 62 June : 525 – 39 .
  • Tiku , M. L. 1966 . “A Note on Approximating to the Non-Central F Distribution,” . Biometrika , 53 December : 606 – 10 .

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