An assumption for a significance test of the correlation coefficient is that in the populations,
A)the variance of each variable is the same.
B)the variance of the deviation scores for each variable is the same.
C)the variance of each variable is the same at each point of the other variable.
D)the variance of the squared deviations of each variable is the same at each point of the distribution of the squared deviations of the other variable.

Question

Quizplus · Accepted Answer

The assumption for a significance test of the correlation coefficient is that the variance of each variable is the same at each point of the other variable. This means that the relationship between the two variables should be consistent across the entire range of values of the other variable. Option A is incorrect because it assumes equal variances between the two variables, but not necessarily at each point in the other variable. Option B refers to the variance of the deviation scores, which may not be relevant to assessing the significance of the correlation coefficient. Option D refers to the distribution of squared deviations, which is not a relevant consideration for the correlation coefficient.

An Assumption for a Significance Test of the Correlation Coefficient