AN APPROXIMATE LIKELIHOOD RATIO TEST FOR A NORMAL-MEAN VECTOR WITH NONNEGATIVE COMPONENTS WITH APPLICATION TO CLINICAL-TRIALS
成果类型：
Article
署名作者：
TANG, DI; GNECCO, C; GELLER, NL
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.1093/biomet/76.3.577
发表日期：
1989
页码：
577583
关键词：
摘要：
A new multivariate statistic, designed to be sensitive to the alternative hypothesis that a mean vector lies in the positive orthant, rather than to all alternatives or to alternatives on a line (O''Brien, 1984), is proposed. The statistic is shown to approximate the likelihood ratio test statistic for such alternatives (Kudo, 1963; Perlman, 1969). Its null distribution is a special case of the chi-bar-squared distribution, which allows critical values to be obtained. Such a statistic may be used in two-armed clinical trials where we are interested in showing that one treatment is better than another with respect to several responses. As an example, a clinical trial is reanalyzed, with stronger conclusions than had been drawn originally.