Introduction

Cohen's d:

Cohen's d is a standardized measure of effect size that quantifies the difference between two group means in terms of standard deviations. It is widely used in statistical analysis, especially in the comparison of means between two groups.

Cohen's d provides a standardized metric that allows researchers to compare effect sizes across different studies or experiments. A larger Cohen's d indicates a larger effect size.

Odds Ratio (OR):

The odds ratio is a measure of the association between exposure and outcome in epidemiological and statistical studies, particularly those involving binary outcomes. The odds ratio is defined as the ratio of the odds of an event occurring in one group to the odds of it occurring in another group.

This article introduces a conversion tool that allows users to convert the odds ratio to Cohen's d, providing a standardized measure of the effect size.

Variables Definitions

  1. Odds Ratio: The odds ratio is a measure of the association between exposure and outcome in epidemiological studies. It represents the odds of an event occurring in one group compared to the odds of it occurring in another group.
  2. Cohen's d: Cohen's d is a standardized measure of the effect size that represents the difference between two group means in standard deviation units. It provides a common scale for comparing effect sizes across different studies or experiments.

Conversion Formula

The conversion from odds ratio to Cohen's (d) is performed using the following formula:

Cohen's d

Where:

  • ln is the natural logarithm function.
  • π is the mathematical constant representing the ratio of a circle's circumference to its diameter.

Formula Reference - Sánchez-Meca et al.