In a study with a 3 by 2 design, phi and Cramer's phi:
A)are equivalent
B)are equivalent if phi is divided by 2
C)are unrelated
D)are the inverse of one another

Question

Quizplus · Accepted Answer

Phi and Cramer's phi measure the strength of association between two nominal variables, and they are equivalent in a 3 by 2 design where one variable has three categories and the other has two categories. In this case, both measures range from 0 (no association) to 1 (perfect association). Therefore, there is no need to divide phi by 2 to obtain Cramer's phi, they are already equivalent.

In a Study with a 3 by 2 Design, Phi