Quantitative Psychology by L. Andries van der Ark Marie Wiberg Steven A. Culpepper Jeffrey A. Douglas & Wen-Chung Wang

Author:L. Andries van der Ark, Marie Wiberg, Steven A. Culpepper, Jeffrey A. Douglas & Wen-Chung Wang
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(2)

However, there are two additional UBs on β j3 that can be derived from β j13 and β j23:

Are all three UBs on β j3 needed? And if not, then which one(s) should be used?

Recall that the UB on β j3 was derived from

Because this expression can also be manipulated into a UB for β j1 or β j2, the form of a UB on β j3 implies UBs on β j1 and β j2. Chiu and Köhn (2016) showed that the UB on β j3 in Eq. (2) that was derived from the highest-order interaction term is the least UB and, therefore, is the only one required and to be used.

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