Currently there are two main CFA approaches to model multitrait by multimethod matrices: the correlated trait-correlated method and the correlated uniqueness approaches (Lance et al., 2002). Lance et al. (2002) indicated that the correlated trait-correlated method approach is the better choice and "that the correlated uniqueness model be invoked only as a last analytic resort" (p. 241) when the correlated trait-correlated method approach fails (e.g., inadmissible solutions). We thus use the correlated trait-correlated method approach for this discussion (see also Eid et al., 2003).
For our example with ADHD-IN, ADHD-HI, and ODD, let us assume the use of multiple sources (mothers, fathers, teachers, and teachers' aides) rather than multiple methods. Later in the chapter we discuss the complexities associated with using multiple methods (e.g., interviews, rating scales, direct observations) to measure multiple traits. Let us also assume that each source completes the same ADHD-IN, ADHD-HI, and ODD rating scale. Here the mothers and fathers are instructed to rate the children's behavior in the home, while the teachers and aides are instructed to rate the children's behavior in the classroom. Because our example uses multiple sources and a single method (same rating scale), we refer to this example as a multitrait by multisource matrix to make a distinction between sources and methods, although the more common name is multitrait by multimethod (Campbell & Fiske, 1959).
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