ESTIMATORS AND TESTS IN THE ANALYSIS OF MULTIPLE NONINDEPENDENT 2X2 TABLES WITH PARTIALLY MISSING OBSERVATIONS
ESTIMATORS AND TESTS IN THE ANALYSIS OF MULTIPLE NONINDEPENDENT 2X2 TABLES WITH PARTIALLY MISSING OBSERVATIONS
复制标题
DOI：
10.2307/2531864
复制
发表时间：
1988-06-01
期刊：
影响因子：
1.9
通讯作者：
WEI, LJ
中科院分区：
文献类型：
--
作者：
LACHIN, JM;WEI, LJ
我们提出了两个独立组的K变量二进制测量的分析方法，其中一些观察可能是不完整的，如在比较试验中的K重复测量的情况下。对于K2. 2片，设θ =（θ 1，...，θ K）是关联参数的向量，其中θ k是关联的度量，其是每个组（i = 1，2; k = 1，...，K），如对数比值比或对数相对风险。估计的渐近分布. cxa.θ的=（.cxa..θ 1，.，. cxa..θ K）的值。在假设θ k = θ k的情况下，对于所有k，我们描述最大有效线性估计器.θ的的公共参数θ。对θ的对比度检验提供了一个测试的同质性Ha：θ k = θ l，对于所有的k ≠。L.然后，我们提出了聚集体缔合Hb：θ的最大有效检验。= θ o，其中θ o是给定值。结果表明，聚集缔合Hb的检验与均匀性Ha的初步检验是渐近独立的。这些方法将Gart（1962，Biometrics 18，601-610）、Cochran（1954，Biometrics 10，417-451）、Mantel-Haenszel（1959，Journal of the National Cancer Institute 22，719-748）和Radhakrishna（1965，Biometrics 21，86-98）检验的有效估计推广到非独立表。该方法说明了与国家合作胆囊结石研究中获得的肝活检组织的重复形态学评价的分析。
We present methods for the analysis of a K-variate binary measure for two independent groups where some observations may be incomplete, as in the case of K repeated measures in a comparative trial. For the K 2 .times. 2 tablets, let .theta.= (.theta.1, ..., .theta.K) be a vector of association parameters where .theta.k is a measure of association that is continuous function of the probabilities .pi.ik in each group (i = 1, 2; k = 1,...,K), such as the log odds ratio or log relative risk. The asymptotic distribution of the estimates .cxa..theta. = (.cxa..theta.1,...,.cxa..theta.K) is derived. Under the assumption that .theta.k = .theta. for all k, we describe the maximally efficient linear estimator .cxa..theta. of the common parameter .theta.. Tests of contrasts on the .theta. are presented which provide a test of homogeneity Ha: .theta.k = .theta.l for all k .noteq. l. We then present maximally efficient tests of aggregate association Hb:.theta. = .theta.o, where .theta.o is a given value. It is shown that the test of aggregate association Hb is asymptotically independent of the preliminary test of homogeneity Ha. These methods generalize the efficient estimators of Gart (1962, Biometrics 18, 601-610), and the Cochran (1954, Biometrics 10, 417-451), Mantel-Haenszel (1959, Journal of the National Cancer Institute 22, 719-748), and Radhakrishna (1965, Biometrics 21, 86-98) tests to nonindependent tables. The methods are illustrated with an analysis of repeated morphologic evaluations of liver biopsies obtained in the National Cooperative Gallstone Study.