The r family of effect size measures includes:
A) r
B) phi
C) rho
D) eta
E) All of the above.

Question

Quizplus · Accepted Answer

The r family of effect size measures is a group of statistics that estimate the strength of a relationship between variables. They are often used in the context of correlation and regression analyses. Here's a brief overview of each measure:
a) r: Pearson's r is a measure of the linear correlation between two variables, providing a value between -1 and 1. A value of 1 indicates a perfect positive linear relationship, -1 indicates a perfect negative linear relationship, and 0 indicates no linear relationship.
b) phi: The phi coefficient is a measure of association for two binary variables. It is similar to Pearson's r in its interpretation but is specifically used for 2x2 contingency tables.
c) rho: Spearman's rho (also known as Spearman's rank correlation coefficient) is a nonparametric measure of rank correlation. It assesses how well the relationship between two variables can be described using a monotonic function.
d) eta: Eta squared is a measure of effect size for use in ANOVA (Analysis of Variance). It represents the proportion of the total variance in a dependent variable that is associated with the membership of different groups defined by an independent variable.
All of these measures can be considered part of the r family because they are related to Pearson's r in terms of measuring the strength and direction of a relationship between variables.

The R Family of Effect Size Measures Includes