Multimethod Factor Analysis: A Reformulation

Abstract

A method is proposed for the evaluation of the degree to which trait measures show stability across diverse methods of measurement. Each mono method block is separately factored and orthogonally rotated so that only one trait measure is highly loaded on a given dimension. The component score intercorrelation matrix is computed implicitly, and this matrix is re-factored and rotated by varimax. The technique is illustrated using multitrait-multimethod matrices from personality assessment, which yield trait-specific factors. By reversing the procedure and separately factoring monotrait-heteromethod blocks followed by the re-factoring of implicit component scores, it is demonstrated that method factors may be isolated.

A leadership self-efficacy taxonomy and its relation to effective leadership

“…The conventional approach to canonical correlation does not involve rotation of the canonical loadings. Our use of rotation in conjunction with canonical correlation analysis was informed by Jackson's (1975) approach, and served to alleviate the serious interpretational difficulties that are often encountered in canonical correlation analysis (see Tabachnick & Fidell, 2001).…”

Latent Variable Path Modeling with Partial Least Squares

“…The problem of generalizing Hotelling's (1935) Canonical Correlation model to more than two sets of variables has attracted many scholars, starting with Vinograde (1950) and Steel (1951); the first viable methods were developed by Horst (1961Horst ( , 1965 and Carroll (1963); extensive discussions can be found with Browne (1980), Conger (1971), Golding and Seidman (1974), Jackson (1969Jackson ( , 1975Jackson ( , 1977, Kettenring (1971) Kristof and Wingersky (1971), McDonald (1968McDonald ( , 1970, McKeon (1966), Pruzek, Lehrer and Kim (1979), Rindskopf and Rose (1985), Rozeboom (1965), Saporta (1978), and van de Geer (1984). For reviews, see Skinner (1977Skinner ( , 1978 and Lohmoller (1977).…”

Personnel Selection and Classification Systems

“…The approach is an ingenious application of Bayesian statistics that promises to shed new light on the long held assumption that validity results are situation specific. In passing, we should also note that several recent articles (128, 172,179,274) have appeared discussing multitrait-multimethod techniques, path analytic procedures, and factor analytic strategies as means of develop ing systematic generalizations about predictor and criterion constructs across different settings.…”