Comparing several experimental groups with a control in the multivariate case |
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| Authors: | Sohair M. F. Higazi C. Mitchell Dayton |
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| Affiliation: | 1. Dept. of Applied Statistics , University of Tanta , Tanta, Egypt;2. Dept. of Measurement Statistics, and Evaluation , University of Maryland , College Park, MD, 20742 |
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| Abstract: | This paper presents a multivariate extension of Dunnett's test for comparing simultaneously k treatment group means with a single control group mean. A test based on Hotelling T2statistics is presented and approximate critical values are evaluated for the case of equal numbers of observations in each group, for the .05 and .01 levels of significance, for 1 to 5 variates, for 1 to 10 treatment groups, and for varying degrees of freedom. The accuracy of the procedure for generating approximate critical values is assessed via simulation studies conducted for selected cases and an example is presented using real data. |
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| Keywords: | mu1tiple comparisons Dunnett's test multivariate analysis Hotelling T2 |
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