Bayesian estimation of log odds ratios over two-way contingency tables with intraclass correlated cells
Bayesian estimation of log odds ratios over two-way contingency tables with intraclass correlated cells
复制标题
具有类内相关单元的双向列联表的对数比值比的贝叶斯估计
DOI：
10.1080/02664763.2013.810196
复制
发表时间：
2013
影响因子：
1.5
通讯作者：
H. Demirhan
中科院分区：
文献类型：
--
作者：
H. Demirhan
在这篇文章中，提出了一种贝叶斯方法估计的对数比值比和组内相关的双向列联表，包括组内相关的细胞。所需的对数优势比的似然函数，并确定先验结构进行了讨论。对数比值比和组内相关性的假设检验使用后验模拟概述。由于所提出的方法不包括渐近理论，它是有用的估计和假设检验的对数比值比在某些组内相关模式的存在。一个家庭的健康状况和限制数据集进行了分析，通过使用所提出的方法，以找出组内相关性的估计和假设检验的对数优势比的影响。虽然组内相关性是小的数据集，我们得到，即使是小的组内相关性可以显着影响的估计和测试结果，我们的方法是有用的估计和测试的对数比值比在组内相关性的存在。
In this article, a Bayesian approach is proposed for the estimation of log odds ratios and intraclass correlations over a two-way contingency table, including intraclass correlated cells. Required likelihood functions of log odds ratios are obtained, and determination of prior structures is discussed. Hypothesis testing for log odds ratios and intraclass correlations by using the posterior simulations is outlined. Because the proposed approach includes no asymptotic theory, it is useful for the estimation and hypothesis testing of log odds ratios in the presence of certain intraclass correlation patterns. A family health status and limitations data set is analyzed by using the proposed approach in order to figure out the impact of intraclass correlations on the estimates and hypothesis tests of log odds ratios. Although intraclass correlations are small in the data set, we obtain that even small intraclass correlations can significantly affect the estimates and test results, and our approach is useful for the estimation and testing of log odds ratios in the presence of intraclass correlations.