31
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Nonparametric tests for lattice-ordered alternatives in unreplicated two-factor experiments

&
Pages 307-318 | Received 21 Dec 1996, Published online: 12 Apr 2007

References

  • Agar , J. W. and Brent , S. B. 1978 . An Index of Agreement Between a Hypothesized Partial Order and an Empirical Rank Order . Journal of the American Statistical Association , 73 : 827 – 830 .
  • Agresti , A. 1990 . Categorical Data Analysis , New York : John Wiley and Sons, Inc. .
  • Bain P. T. Test of Hypotheses and Measures of Concordance for Lattice Ordered Means Ph.D. Dissertation. Dept. of Statistics Kanas 1994
  • Barlow , R. E. , Bartholonew , D. J. , Bremner , J. M. and Brunk , H. D. 1972 . Statistical Inference Under Order Restrictions , New York : John Wiley and Sons, Inc. .
  • Chacko , V. J. 1963 . Testing Homogeneity Against Ordered Alternatives . Annals of Mathematical Statistics , 34 : 945 – 956 .
  • De Kroon , J. and Van Der Laan , P. 1981 . Distribution-Free Test Procedures in Two-Way Layouts; A concept of Rank-Interaction . Statistica Neerlandica , 35 : 189 – 213 .
  • Hettmansperger , T. P. 1984 . Statistical Inference Based on Ranks , New York : John Wiley and Sons, Inc. .
  • Jonckheere , A. R. 1954 . A Distribution Free K-Sample Test Against Ordered Alternatives . Biometrika , 41 : 133 – 145 .
  • Lehmann , E. L. 1975 . Nonparametrics: Statistical Methods Based on Ranks , Holden Day, Inc. .
  • Page , E. B. 1963 . Ordered Hypotheses for Multiple Treatments: A Significance Test for Linear Ranks . Journal of the American Statistical Association , 58 : 216 – 230 .
  • Randies , R. and Wolfe , D. 1979 . Introduction to the Theory of Nonparametric Statistics , New York : John Wiley and Sons, Inc. .
  • Robertson , T. , Wright , F. T. and Dykstra , R. L. 1988 . Order Restricted Statistical Inference , New York : John Wiley and Sons, Inc. .
  • Shorack , G. R. 1967 . Testing Against Ordered Alternatives in Model I Analysis of Variance; Normal Theory and Nonparametric . Annals of Mathematical Statistics , 38 : 1740 – 1752 .
  • Terpstra , T. J. 1952 . The Asymptotic Normality and Consistency of Kendall's Test Against Trend, When Ties are Present in one Ranking . Indagationes Math. , 14 : 327 – 333 .
  • Tryon , P. V. and Hettmansperger , T. P. 1973 . A Class of Nonparametric Tests for Homogeneity Against Ordered Alternatives . Annals of Statistics , 1 : 1061 – 1070 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.