Multitrait by Multisource Matrix

Figure 27.1 shows the model with individual symptom ratings. This model involves three latent trait factors (ADHD-IN, ADHD-HI, and ODD) and four latent source factors (mothers, fathers, teachers, and aides). The model contains 104 manifest variables. This involves 26 manifest variables (symptom ratings) for mothers, 26 for fathers, 26 for teachers, and 26 for aides (each source rates the occurrence of the nine ADHD-IN, nine ADHD-HI, and eight ODD symptoms). Our purpose with this example is to demonstrate how CFA procedures can be used to estimate the convergent and discriminant validity of the individual symptom ratings.

Barbara Byrne (1994, chap. 6) provided guidelines for the use of CFA procedures to model multitrait by multisource matrices. She described how the convergent validity of the traits, the discriminant validity of the traits, and the discriminant validity of the sources can be tested at a macro (matrix) level by the comparison of a series of nested models. These macro tests are conceptually similar to an omnibus F-test where a significant result requires subsequent tests. In a similar manner, positive results from the model tests at the matrix level (e.g., general evidence for convergent validity of the traits, discriminant validity of traits, and discriminant validity of the sources) require an evaluation of the individual parameters in the

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