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Original Articles

Use of a preliminary test in comparing two sample means

Use of a preliminary test

Pages 163-174 | Received 01 Feb 1980, Published online: 27 Jun 2007

References

  • Aspin , A. A. 1949 . Tables for use in comparisons whose accuracy involves two variances, separately estimated . Biometrika , 36 : 290 – 292 .
  • Cochran , W. G. 1964 . Approximate significance levels of the Behrens-Fisher test . Biometrics , 20 : 191 – 195 .
  • Fisher , R. A. 1935 . The fiducial argument in statistical inference . Ann. Eugen , 6 : 391 – 398 .
  • Gurland , J. and Mccullough , R. S. 1962 . Testing equality of means after a preliminary test of equality of variances . Biometrika , 49 : 403 – 17 .
  • James , G. S. 1959 . The Behrens-Fisher distribution and weighted means . J. R. Statist. Soc , 21 : 73 – 90 .
  • Keselman , H. J. and Rogan , J. C. 1978 . A comparison of the modi-fied-Tukey and Scheffe methods of multiple comparisons for pairwise contrasts . J. Amer. Statist. Assoc , 73 : 47 – 52 .
  • Lauer , G. N. and Han , C. P. 1974 . Power of Cochranás test in the Behrens-Fisher problem . Technometries , 16 : 545 – 549 .
  • Murphy , B. P. 1976 . Comparison of some two sample means tests by simulation . Commun. Statist.-Simula. Computa , 5 ( 1 ) : 23 – 32 .
  • Trickett , W. H. , Welch , B. L. and James , G. S. 1956 . Further critical values for the two means problem . Biometrika , 43 ( 1 ) : 203 – 205 .
  • Welch , B. L. 1937 . The significance of the difference between two means when the population variances are unequal . Bio-metrika , 29 ( 1 ) : 350 – 362 .
  • Welch , B. L. 1949 . Further note on Mrs. Aspinás tables and on certain approximations to the tabled function . Biometrika , 36 ( 1 ) : 293 – 296 .

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