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In this paper, we explain the reasons behind constraint interaction, which isthe phenomenon that the results of testing equality constraints may dependheavily on the scaling method used. We find that the scaling methods interferewith the testing procedures because scaling methods determine whichtransformations of population quantities model parameters actually estimate. Wetherefore also develop rules on how to correctly interpret estimates of modelparameters under alternative scaling methods.

Explaining Constraint Interaction: How to Interpret Estimated Model Parameters under Alternative Scaling Methods