A Five-Region Hypothesis Test for Exposure-Disease Associations.

Area of Science:

• Epidemiology
• Biostatistics

Background:

• Epidemiologists commonly use the odds ratio (OR) to characterize exposure-disease associations.
• Current methods often present point estimates, p-values, and confidence intervals, which may not fully capture the association's nature.

Purpose of the Study:

• To develop and present a statistical framework for classifying odds ratio parameter space into five distinct regions.
• To provide methods for hypothesis testing, confidence interval estimation, and sample size calculation within this framework.

Main Methods:

• Partitioning the odds ratio parameter space into five mutually exclusive regions: strong protective, weak protective, no association, weak risk, and strong risk.
• Developing tailored statistical methods for hypothesis testing, confidence interval estimation, and power calculations for each region.
• Re-analyzing three published epidemiological studies using the proposed methods.

Main Results:

• The five-region demarcation provides an efficient and informative way to describe exposure-disease associations.
• The methods allow for the clear determination of the presence, absence, direction, and strength of associations.
• Demonstrated utility through re-analysis of existing studies, with R code provided.

Conclusions:

• The proposed five-region methods offer a comprehensive approach to characterizing epidemiological associations.
• These methods enhance the interpretation of odds ratios by providing clear categorization of risk and protective effects.
• Recommended for routine use in the analysis of epidemiologic data.