Random Model Discrepancy: Interpretations and Technicalities (A Rejoinder).

In this rejoinder we discuss the following aspects of our approach to model discrepancy: the interpretations of the two populations and adventitious error, the choice of inverse Wishart distribution, the perceived danger of justifying a model with bad fit, the relationship among our new approach, Chen's (J R Stat Soc Ser B, 41:235-248, 1979) approach and the existing RMSEA-based approach, and the Pitman drift assumption.