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On nonparametricT-method of multiple, comparisons for randomized blocks

  • Pranab Kumar Sen
Article

Summary

Some nonparametric generalizations of Tukey’s [9]T-method of multiple comparisons are considered for randomized blocks and the allied efficiency results are studied. For this, the distribution theory of aligned rank order statistics developed in [6], [7] is extended for multiple comparisons along the lines of [5] which deals with one-way layouts.

Keywords

Equality Sign Paired Difference Simultaneous Test Distribution Free Test Rank Order Test 
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.

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References

  1. [1]
    H. Chernoff and I. R. Savage, “Asymptotic normality and efficiency of certain nonparametric tests,”Ann. Math. Statist., 29 (1958), 972–994.MathSciNetGoogle Scholar
  2. [2]
    M. Hollander, “An asymptotically distribution-free multiple comparison procedure-treatments versus control,”Ann. Math. Statist., 37 (1966), 735–738.MathSciNetMATHGoogle Scholar
  3. [3]
    P. Nemenyi, “Distribtion free multiple comparisons” (unpublished Ph.D. thesis), Princeton Univ., 1963.Google Scholar
  4. [4]
    M. L. Puri and P. K. Sen, “On some optimum nonparametric procedures in two-way layouts”,Amer. Statist. Ass., 62 (1967), 1214–1229.CrossRefMathSciNetMATHGoogle Scholar
  5. [5]
    P. K. Sen, “On nonparametric, simultaneous confidence regions, and tests for the one criterion analysis of variance problem,”Ann. Inst. Statist., Math., 18 (1966), 319–336.MathSciNetMATHGoogle Scholar
  6. [6]
    P. K. Sen., “On some nonparametric, generalizations of Wilks’ tests forH M H VC andH MVC, I,”Ann. Inst. Statist. Math., 19 (1967), 451–471.MathSciNetCrossRefMATHGoogle Scholar
  7. [7]
    P. K. Sen, “On, a class of aligned rank order tests in two-way layputs,”Ann. Math. Statist., 39 (1968), 1115–1124.MathSciNetMATHGoogle Scholar
  8. [8]
    R. G. D. Steel, “Treatments versus control multiple comparison sign test,”J. Amer. Statist. Ass., 54 (1959), 767–775.CrossRefMathSciNetMATHGoogle Scholar
  9. [9]
    J. W. Tukey, “The problem of multiple comparisons,” Unpublished manuscript, Princeton Univ., 1953.Google Scholar
  10. [10]
    S. S. Wilks,Math. Statist, John Wiley & Sons Inc., New York, 1963.Google Scholar

Copyright information

© The Institute of Statistical Mathematics 1969

Authors and Affiliations

  • Pranab Kumar Sen
    • 1
  1. 1.University of North CarolinaChapel Hill

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