A simple testing procedure control versus k treatments for one-sided ordered alternatives, with application in toxicology

A simple testing procedure “control versus k treatments” for one-sided ordered alternatives for univariate, continuous variables is given. With a simulation study both the first kind risk a and the power behaviour under several distributions, expected value profiles, sample sizes and a levels are shown.

[1]  Ludwig A. Hothorn,et al.  Robustness Study on Williams‐ and Shirley‐Procedure, with Application in Toxicology , 1989 .

[2]  L. Hothorn.  A simple statistical procedure for testing tumour rates in animal carcinogenicity experiments. , 1989, Archives of toxicology. Supplement. = Archiv fur Toxikologie. Supplement.

[3]  D. Krewski,et al.  Statistical Methods in Cancer Research: Volume III: The Design and Analysis of Long-Term Animal Experiments , 1987 .

[4]  Williams Da,et al.  A note on Shirley's nonparametric test for comparing several dose levels with a zero-dose control , 1986 .

[5]  S. Holm.  A Simple Sequentially Rejective Multiple Test Procedure , 1979 .

[6]  Allen I. Fleishman.  A method for simulating non-normal distributions , 1978 .

[7]  Philip H. Ramsey.  Power Differences between Pairwise Multiple Comparisons , 1978 .

[8]  K. Gabriel,et al.  On closed testing procedures with special reference to ordered analysis of variance , 1976 .

[9]  R. E. Odeh,et al.  Algorithm AS 70: The Percentage Points of the Normal Distribution , 1974 .

[10]  Williams Da,et al.  The comparison of several dose levels with a zero dose control. , 1972 .

[11]  D. A. Williams,et al.  A test for differences between treatment means when several dose levels are compared with a zero dose control. , 1971, Biometrics.

[12]  Charles W. Dunnett,et al.  New tables for multiple comparisons with a control. , 1964 .

[13]  George Marsaglia,et al.  A fast procedure for generating exponential random variables , 1964, CACM.

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

[15]  A. R. Jonckheere,et al.  A DISTRIBUTION-FREE k-SAMPLE TEST AGAINST ORDERED ALTERNATIVES , 1954 .