How to use χ2 test correctly——the homogeneity test for the data of a multiway table and the implementation of SAS software

Abstract

The purpose of the paper was to introduce the methods for the homogeneity test of odds ratio of a special multiway table （i.e g×2×2 table） and its SAS implementation. In the FREQ procedure of SAS/STAT， five approches for the homogeneity tests of odds ratio were introduced in detail. They were "Breslow-Day test""Breslow-Day-Tarone test""Q test""I2 measurement statistic and its uncertainty limit" and "Zelen΄s exact test". In addition， the approaches for "the homogeneity tests of the relative risk and the difference of the risk rate" were also introduced. Combining two examples， the article introduced the concrete content of the homogeneity test for the odds ratio based on SAS software， explained the output results， and concluded the statistical and professional conclusions.

Keywords

• homogeneity test
• breslow-day test
• breslow-day-tarone test
• q test
• zelen΄s exact test
• i2 measurement statistic