Abstract
The sensitivity of the chi-square test (Chap. 38), and the odds ratio test (Chap. 44) for testing cross-tabs is limited, and, not entirely, accurate, if the values in one or more cells is smaller than 5. The log likelihood ratio test may be an adequate alternative with generally better sensitivity, and, so, it must be absolutely considered. It is lovely to use it, if your traditional test can not reject the null hypothesis of your study with a p-value a bit larger than 0.05. Your chance is big, that a log likelihood ratio test will end-up producing a p-value just under 0.05.
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Cleophas, T.J., Zwinderman, A.H. (2016). Log Likelihood Ratio Tests for the Best Precision. In: Clinical Data Analysis on a Pocket Calculator. Springer, Cham. https://doi.org/10.1007/978-3-319-27104-0_46
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DOI: https://doi.org/10.1007/978-3-319-27104-0_46
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