Practical person-fit assessment with the linear FA model: New developments and a comparative study

Identifier:  PC:2540

Handle: https://hdl.handle.net/20.500.11797/PC2540

Authors:  Pere J. Ferrando; Andreu Vigil-Colet; Urbano Lorenzo-Seva

Abstract:
Linear factor analysis (FA) is, possibly, the most widely used model in psychometric applications based on graded-response or more continuous items. However, in these applications consistency at the individual level (person fit) is virtually never assessed. The aim of the present study is to propose a simple and workable approach to routinely assess person fit in FA-based studies. To do so, we first consider five potentially appropriate indices, of which one is a new proposal and the other is a modification of an existing index. Next, the effectiveness of these indices is assessed by using (a) a thorough simulation study that attempts to mimic realistic conditions, and (b) an illustrative example based on real data. Results suggest that the mean-squared lico index and the personal correlation work well in conjunction and can function effectively for detecting different types of inconsistency. Finally future directions and lines of research are discussed.