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Non-normality and heterogeneity in two samplet-test

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References

  1. M. S. Bartlett, “The effect of non-normality on thet-distribution,”Proc. Cam. Phil. Soc., 31, 1935.

  2. M. S. Bartlett, “The information available in small samples,”Proc. Camb. Phil. Soc., 32, 1936.

  3. W. U. Behrens, “Ein beitrag zur fehlerberechnung bei wenigen beobachtungen,”Landwirtsch Jahrbucher, 68, 1929.

  4. G. P. Bhattacharjee, “Effect of non-normality on Stein’s two samplest-test,”Ann. Math. Statist., 36 (1965), 651–663.

    Article  MathSciNet  Google Scholar 

  5. R. A. Fisher, “The fiducial argument in statistical inference,”Ann. Eug., 6, 1935.

  6. A. K. Gayen, “The distribution of student’st in random samples of any size drawn from non-normal universes,”Biometrika, 36 (1949), 353–369.

    MathSciNet  Google Scholar 

  7. A. K. Gayen, “Significance of difference between the means of two non-normal samples,”Biometrika, 37 (1950), 399–408.

    MATH  MathSciNet  Google Scholar 

  8. D. G. C. Gronow, “Test for the significance of the difference between means in two normal populations having unequal variances,”Biometrika, 38 (1951), 252–256.

    MATH  MathSciNet  Google Scholar 

  9. D. G. C. Gronow, “Non-normality in two samplet-test,”Biometrika, 40 (1953), 222–225.

    MATH  MathSciNet  Google Scholar 

  10. J. Gurland, “Note on a paper by Ray and Pitman,”J. R. Statist. Soc., B 24 (1962), 537–538.

    MATH  MathSciNet  Google Scholar 

  11. W. D. Ray and A. E. N. T. Pitman, “An exact distribution of Fisher-Behrens Welch statistic for testing the difference between the means of two normal populations with unknown variances,”J. R. Statist. Soc., B, 23 (1961), 377–384.

    MATH  MathSciNet  Google Scholar 

  12. A. B. L. Srivastava, “Effect of non-normality on the power function oft-test,”Biometrika, 45 (1958), 421–430.

    MathSciNet  Google Scholar 

  13. B. L. Welch, “The significance difference between two means when the population variances are unequal,”Biometrika, 29 (1937), 350–362.

    Google Scholar 

  14. V. Chand, “Distributions related to comparisons of two means and two regression coefficients,”Ann. Math. Statist., 21 (1950), 507–522.

    Article  MathSciNet  Google Scholar 

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Bhattacharjee, G.P. Non-normality and heterogeneity in two samplet-test. Ann Inst Stat Math 20, 239–254 (1968). https://doi.org/10.1007/BF02911638

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