GLOBAL TESTS FOR MULTIPLE BINARY OUTCOMES
GLOBAL TESTS FOR MULTIPLE BINARY OUTCOMES
复制标题
DOI：
10.2307/2532240
复制
发表时间：
1993-12-01
期刊：
影响因子：
1.9
通讯作者：
RYAN, L
中科院分区：
文献类型：
--
作者：
LEFKOPOULOU, M;RYAN, L
应用统计学家经常遇到需要比较两个或两个以上的群体关于一个以上的结果或反应。通常有几种选择，包括通过平均或汇总结果来减少问题的维度，使用Bonferroni或其他调整进行多重比较，或应用基于合适的多变量模型的全局测试。对于正态分布的数据，已经确定的是，全局测试往往比其他程序更敏感。虽然也有人提出了多个二元结果的全局测试，但它们的属性尚未得到很好的研究，也没有在聚类数据的背景下进行广泛的讨论。在本文中，我们推导出一类多个二元结果的准似然得分检验，并表明，这类特殊情况下，对应于其他测试，已提出。我们讨论的扩展，以允许集群数据，并比较结果的简单方法折叠的数据到一个单一的二进制结果，表明存在或不存在的至少一个响应。的渐近相对效率的测试不仅取决于结果之间的相关性，但也对响应概率。虽然基于多变量模型的全局测试通常是推荐的，但我们的研究结果表明，基于折叠数据的测试可以保持惊人的高效率，特别是当感兴趣的结果很少时。几项发育毒性研究的数据说明了我们的结果。
The applied statistician often encounters the need to compare two or more groups with respect to more than one outcome or response. Several options are generally available, including reducing the dimension of the problem by averaging or summarizing the outcomes, using Bonferroni or other adjustments for multiple comparisons, or applying a global test based on a suitable multivariate model. For normally distributed data, it is well established that global tests tend to be significantly more sensitive than other procedures. While global tests have also been proposed for multiple binary outcomes, their properties have not been well studied nor have they been widely discussed in the context of clustered data. In this paper, we derive a class of quasi-likelihood score tests for multiple binary outcomes, and show that special cases of this class correspond to other tests that have been proposed. We discuss extensions to allow for clustered data, and compare the results to the simple approach of collapsing the data to a single binary outcome, indicating the presence or absence of at least one response. The asymptotic relative efficiencies of the tests are shown to depend not only on the correlation between the outcomes, but also on the response probabilities. Although global tests based on a multivariate model are generally recommended, our findings suggest that a test based on the collapsed data can maintain surprisingly high efficiency, especially when the outcomes of interest are rare. Data from several developmental toxicity studies illustrate our results.