J. Japan Statist. Soc., Vol. 31 (No. 1), pp. 53-65, 2001

Conservative Tendency of the Crude Odds Ratio

Masayuki Doi, Tadashi Nakamura and Eiji Yamamoto

Abstract. A crude odds ratio can differ from stratum-specific odds ratios conducted for controlling a potential confounder. In this paper, a contour method is proposed to prove conservative tendency of the crude odds ratio when the risk factor is independent of the exposure and the two stratum-specific odds ratios are common. The argument is also referred in the case when the risk factor is dependent on the exposure.

Key words and phrases: confounding, contingency tables, contour, epidemiology, odds ratio, stratification

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