Correct option is D
A. An inferential test used to determine effect size for a chi-square test; the correlation used when both measured variables are dichotomous and nominal: This corresponds to Phi-coefficient (IV). The Phi-coefficient is used when both variables are dichotomous and nominal, typically in chi-square tests.
B. The correlation used when one of its variables is measured on a dichotomous nominal scale and the other is measured on an interval or ratio scale: This corresponds to the Point-biserial correlation coefficient (I). The point-biserial correlation is used when one variable is dichotomous (nominal) and the other is continuous (interval or ratio).
C. A procedure that allows to predict an individual’s score on one variable based on knowing one or more variables: This corresponds to Regression analysis (II). Regression analysis is used to predict the value of one variable based on another (or more) variables.
D. A correlational technique that involves measuring three variables and then statistically removing the effect of the third variable from the correlation of the remaining two variables: This corresponds to Partial correlation (III). Partial correlation is used to understand the relationship between two variables while controlling for the effect of a third variable.
Thus, the correct answer is Option (d) A-IV, B-I, C-II, D-III.