Multiple regression approach to analyzing contingency tables: Post hoc and planned comparison procedures
Multiple regression approach to analyzing contingency tables: Post hoc and planned comparison procedures
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DOI：
10.1080/00220973.1995.9943797
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发表时间：
1995-09-01
影响因子：
2.2
通讯作者：
Schumacker, RE
中科院分区：
文献类型：
--
作者：
Beasley, TM;Schumacker, RE
提出了用于解释卡方列联表测试结果的事后和计划比较程序，目前在大多数标准教科书中没有讨论。提出了一种计划比较程序，通过基于回归的方法创建单自由度对比，简化了划分列联表的繁琐过程。重要的是，这些事后方法通过报告每个单元格对总体卡方统计量的贡献百分比（相对贡献）和两个因素共享的方差百分比（绝对贡献）来补充标准化残差的分析。这两种方法都可以很容易地合并到现有的统计软件包中，例如 SAS 或 SPSS。还提供了百分比贡献法与更常见的标准化残差法的等效性以及典型应用的示例。
Post hoc and planned comparison procedures for interpreting chi-square contingency-table test results, not currently discussed in most standard textbooks, are presented, A planned comparison procedure that simplifies the tedious process of partitioning a contingency table by creating single-degree-of-freedom contrasts through a regression-based approach is proposed. Importantly, these post hoc methods supplement the analysis of standardized residuals by reporting the percentage contribution for each cell to the overall chi-square statistic (relative contribution) and to the percentage of variance shared by the two factors (absolute contribution). Both methods can be readily incorporated into existing statistical packages such as SAS or SPSS, The equivalence of the percentage contribution method to the more common standardized residual method is also presented along with an example of a typical application.