Non-normality and heterogeneity in two samplet-test

  • G. P. Bhattacharjee


Frequency Function Hypergeometric Series Tail Area Fiducial Distribution Edgeworth Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    M. S. Bartlett, “The effect of non-normality on thet-distribution,”Proc. Cam. Phil. Soc., 31, 1935.Google Scholar
  2. [2]
    M. S. Bartlett, “The information available in small samples,”Proc. Camb. Phil. Soc., 32, 1936.Google Scholar
  3. [3]
    W. U. Behrens, “Ein beitrag zur fehlerberechnung bei wenigen beobachtungen,”Landwirtsch Jahrbucher, 68, 1929.Google Scholar
  4. [4]
    G. P. Bhattacharjee, “Effect of non-normality on Stein’s two samplest-test,”Ann. Math. Statist., 36 (1965), 651–663.CrossRefMathSciNetGoogle Scholar
  5. [5]
    R. A. Fisher, “The fiducial argument in statistical inference,”Ann. Eug., 6, 1935.Google Scholar
  6. [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.MathSciNetGoogle Scholar
  7. [7]
    A. K. Gayen, “Significance of difference between the means of two non-normal samples,”Biometrika, 37 (1950), 399–408.MATHMathSciNetGoogle Scholar
  8. [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.MATHMathSciNetGoogle Scholar
  9. [9]
    D. G. C. Gronow, “Non-normality in two samplet-test,”Biometrika, 40 (1953), 222–225.MATHMathSciNetGoogle Scholar
  10. [10]
    J. Gurland, “Note on a paper by Ray and Pitman,”J. R. Statist. Soc., B 24 (1962), 537–538.MATHMathSciNetGoogle Scholar
  11. [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.MATHMathSciNetGoogle Scholar
  12. [12]
    A. B. L. Srivastava, “Effect of non-normality on the power function oft-test,”Biometrika, 45 (1958), 421–430.MathSciNetGoogle Scholar
  13. [13]
    B. L. Welch, “The significance difference between two means when the population variances are unequal,”Biometrika, 29 (1937), 350–362.Google Scholar
  14. [14]
    V. Chand, “Distributions related to comparisons of two means and two regression coefficients,”Ann. Math. Statist., 21 (1950), 507–522.CrossRefMathSciNetGoogle Scholar

Copyright information

© The Institute of Statistical Mathematics 1968

Authors and Affiliations

  • G. P. Bhattacharjee
    • 1
  1. 1.Department of MathematicsIndian Institute of TechnologyKharagpur

Personalised recommendations