JSM 2004 - Toronto

Abstract #301352

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Activity Number: 276
Type: Contributed
Date/Time: Tuesday, August 10, 2004 : 2:00 PM to 3:50 PM
Sponsor: General Methodology
Abstract - #301352
Title: Comparison of Orthogonal and Oblique Factor Analysis Rotations in Factor Recovery
Author(s): Holmes Finch*+
Companies: Ball State University
Address: Dept. of Educational Psychology, Muncie, IN, 47306,
Keywords: factor analysis ; orthogonal rotation ; oblique rotation ; factor recovery
Abstract:

Factor analysis (FA) is a popular methodological approach for reducing dimensionality in a set of data and understanding latent factors expressed in manifest variables. Interpretation of FA solutions involves the use of factor loadings, which indicate the nature of the relationship between observed variables and the latent traits that they ostensibly measure. To make these factors more interpretable, the loadings are transformed using a process known as rotation. There are two general approaches to factor loading rotation, orthogonal and oblique, with the latter allowing for correlated factors and the former not. Practitioners will find a variety of recommendations as to which type of rotation to use when. The goal of the current study is to compare the performance of oblique and orthogonal rotations in terms of factor recovery, with principal axis factoring. Previous research with nonlinear factor analysis indicates that they might perform very similarly, regardless of the between factors correlation. A Monte Carlo simulation is used, manipulating the number of variables, sample size, level of correlation among factors, and the number of factors.

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