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Theory and Method

A Distribution-Free Rank Test for Ordered Alternatives in Randomized Complete Block Designs

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Pages 212-217 | Received 01 Aug 1982, Published online: 12 Mar 2012

References

  • Barlow , R. E. , Bartholomew , D. J. , Bremner , J. M. and Brunk , H. D. 1972 . Statistical Inference Under Order Restrictions , London : John Wiley .
  • Hollander , M. 1967 . “Rank Tests for Randomized Blocks When the Alternatives Have a Prior Ordering,” . Annals of Mathematical Statistics , 38 : 867 – 877 .
  • Jonckheere , A. R. 1954 . “A Test of Significance for the Relation Between m Rankings and k Ranked Categories,” . British Journal of Statistical Psychology , 7 : 93 – 100 .
  • Lehmann , E. L. 1951 . “Consistency and Unbiasedness of Certain Nonparametric Tests,” . Annals of Mathematical Statistics , 22 : 165 – 179 .
  • Odeh , R. E. 1977 . “The Exact Distribution of Page's L-Statistic in the Two-Way Layout,” . Communications in Statistics , 6 : 49 – 62 . Ser. B
  • Page , E. B. 1963 . “Ordered Hypotheses for Multiple Treatments: A Significance Test for Linear Ranks,” . Journal of the American Statistical Association , 58 : 216 – 230 .
  • Puri , M. L. 1965 . “Some Distribution-free k-Sample Rank Tests of Homogeneity Against Ordered Alternatives,” . Communications on Pure and Applied Mathematics , 18 : 51 – 63 .
  • Randles , R. H. and Wolfe , D. A. 1979 . Introduction to the Theory of Nonparametric Statistics , New York : John Wiley .
  • Skillings , J. H. and Wolfe , D. A. 1978 . “Distribution-Free Tests for Ordered Alternatives in a Randomized Block Design,” . Journal of the American Statistical Association , 73 : 427 – 431 .

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