The most popular method used to analyze the
multitrait-multimethod (MTMM) matrix has been confirmatory
factor analysis (CFA). The block-diagonal
model, in which trait effects, trait correlations,
method effects, and method correlations are simultaneously
estimated is examined in detail. Analysis
of published data from 18 correlation matrices
showed estimation problems in all but one case.
Simulations were used to show how identification
and specification difficulties may account for these
problems. Even trivial misspecification of a single
parameter can prevent program convergence. These
problems render the CFA block-diagonal approach
to analyzing MTMM data less useful than has generally
been thought. Index terms: construct validity,
covariance structure modeling, factor analysis,
multitrait-multimethod matrix, parameter estimation in
confirmatory factor analysis.
Brannick, Michael T & Spector, Paul E. (1990). Estimation problems in the block-diagonal model of the multitrait-multimethod matrix. Applied Psychological Measurement, 14, 325-339. doi:10.1177/014662169001400401
Brannick, Michael T.; Spector, Paul E..
Estimation problems in the block-diagonal model of the multitrait-multimethod matrix.
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