论文信息 - Distribution‐free tests for comparing several treatments with a control

Distribution‐free tests for comparing several treatments with a control

Abstract In this paper we propose distribution‐free treatments versus control tests for the one‐ and two‐way classifications. The null distribution properties are shown to be equivalent to those of well‐known statistics for which critical values have been extensively tabled. Asymptotic relative efficiencies with respect to corresponding normal theory competitors are derived and optimal designs for the allocation of experimental units to the treatments and control are obtained.

D. Wolfe | M. Fligner

[1] J. Skillings. On the Null Distribution of Jonckheere's Statistic Used in Two-Way Models for Ordered Alternatives , 1980 .

[2] Robert V. Hogg,et al. On Models and Hypotheses with Restricted Alternatives , 1965 .

[3] Madan L. Puri,et al. SOME DISTRIBUTION-FREE k-SAMPLE RANK TESTS OF HOMOGENEITY AGAINST ORDERED ALTERNATIVES , 1965 .

[4] Robert G. D. Steel,et al. A multiple comparison rank sum test: Treatments versus control. , 1959 .

[5] Robert G. D. Steel,et al. A Multiple Comparison Sign Test: Treatments Versus Control , 1959 .

[6] C. Dunnett. A Multiple Comparison Procedure for Comparing Several Treatments with a Control , 1955 .

[7] Fred C. Andrews,et al. Asymptotic Behavior of Some Rank Tests for Analysis of Variance , 1954 .

[8] W. Kruskal,et al. Use of Ranks in One-Criterion Variance Analysis , 1952 .

[9] H. B. Mann,et al. On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other , 1947 .

[10] D. Wolfe,et al. Testing for ordered alternatives by combining independent distribution-free block statistics , 1977 .

[11] G. A. Mack,et al. k-sample rank tests using pair-specific scoring functions , 1977 .