Variables Definitions

1. T-value (t-value): The T-value is a statistical measure that indicates the number of standard deviations a data point is from the mean. It is often obtained from hypothesis tests comparing sample means.
2. Degrees of Freedom (df): Degrees of freedom represent the number of values in the final calculation of a statistic that are free to vary. It is a critical parameter, especially in T-tests, and is essential for estimating population parameters.
3. 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.
4. Effect Size Correlation (r): Effect size correlation (r) represents the correlation between two variables. It is commonly used as a measure of the strength and direction of a relationship between variables.

Conversion Formula

The conversion process involves the following formulas:

Cohen's d:

Effect Size Correlation (r):

Note: (d) and (r) are positive if the mean difference is in the predicted direction.

Formula Reference