Farrell Patrick J, Park Chul Gyu
School of Mathematics and Statistics, Carleton University, 1125 Colonel By Drive, Ottawa, Ontario, Canada, K1S 5B6.
Biom J. 2007 Aug;49(4):585-98. doi: 10.1002/bimj.200510284.
A likelihood ratio test is proposed for the detection of an ordered group effect on bivariate responses where one response is binary and the other is continuous. The procedure is based on a conditional logistic model for the binary response given the continuous outcome. We also develop a likelihood ratio test for simultaneously determining the goodness of fit of the ordering assumption on both responses. Our approach is motivated by a particular toxicity study application involving laboratory animals that focused on the effect of a food color additive on the development of reticuloendothelial (RE) tumors. A brief discussion on extensions to the methodology introduced here is also given, along with a comparison of the approach with a marginal strategy where the presence of an ordered group effect is assessed independently for each of the two responses.
本文提出了一种似然比检验方法，用于检测二元响应变量和连续响应变量上的有序组效应，其中一个响应变量为二元变量，另一个为连续变量。该方法基于给定连续结果时二元响应的条件逻辑模型。我们还开发了一种似然比检验，用于同时确定两个响应变量上排序假设的拟合优度。我们的方法是由一项涉及实验动物的特定毒性研究应用所推动的，该研究关注一种食用色素添加剂对网状内皮（RE）肿瘤发生发展的影响。本文还简要讨论了此处介绍的方法的扩展，以及该方法与一种边际策略的比较，在边际策略中，分别独立评估两个响应变量中有序组效应的存在情况。
