Statistics Corner: Chi-square and related statistics for 2 x 2 contingency tables

Article appearing in Shiken 17.1 (May 2013) pp. 33-40.

Author: James Dean Brown
University of Hawai'i at Manoa

Question:
I used to think that there was only one type of chi-square measure, but more recently, I have become confused by the variety of chi-square measures that exist. Can you explain the difference between a simple chi-square and a (1) likelihood ratio chi-square, (2) a continuity adjusted chi-square, and (3) a Mantel-Haenszel chi-square? Finally, when should each of these statistics be used and what is the differ- ence between a Yates and Pearson correction when used for chi-square data?

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