COMPARING SEVERAL EXPERIMENTAL GROUPS WITH A CONTROL IN THE MULTIVARIATE CASE

COMPARING SEVERAL EXPERIMENTAL GROUPS WITH A CONTROL IN THE MULTIVARIATE CASE
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DOI:
10.1080/03610918408812369
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发表时间:
1984-01-01
影响因子:
0.9
通讯作者:
DAYTON, CM
DAYTON, CM
中科院分区:
数学4区
文献类型:
--
作者:
HIGAZI, SMF;DAYTON, CM

文献摘要

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本文提出了一种多变量扩展Dunnett检验,用于同时比较k个治疗组平均值与单个对照组平均值。提供了基于Hotelling T2统计量的检验,并针对每组中相同数量的观察结果、0.05和0.01显著性水平、1至5个变量、1至10个治疗组和不同自由度评价了近似临界值。通过模拟研究选定的情况下进行评估的准确性生成近似的临界值的程序,并使用真实的数据的例子。
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.