Chi-squared, Yule’s Q and likelihood ratios in tabular audiology data

Anwar, Muhammad Naveed; Oakes, Michael Philip and McGarry, Ken (2011). Chi-squared, Yule’s Q and likelihood ratios in tabular audiology data. In: Ao, Sio-Iong and Gelman, Len eds. Electrical Engineering and Applied Computing. Lecture Notes in Electrical Engineering (90). Springer, pp. 365–376.



In this chapter, we have used the chi-squared test and Yule’s Q measure to discover associations in tables of patient audiology data. These records are examples of heterogeneous medical records, since they contain audiograms, textual notes and typical relational fields. In our first experiment we used the chi-squared measure to discover associations between the different fields of audiology data such as patient gender and patient age with diagnosis and the type of hearing aid worn. Then, in our second experiment we used Yule’s Q to discover the strength and direction of the significant associations found by the chi-squared measure. Finally, we examined the likelihood ratio used in Bayesian evidence evaluation. We discuss our findings in the context of producing an audiology decision support system.

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