Factor Analysis with Ordered Categorical Indicators and Measurement of Self-Efficacy in Physical Activity Contexts: A Substantive-Methodological Synergy

Factor analysis of ordered categorical indicators in kinesiology is pervasive. However, some assumptions made regarding the indicators within methods commonly used in this research may increase analytic errors. Methods that relax these assumptions have been available for decades, but uptake has been slow. Therefore, the methodological focus of this tutorial was factor analysis of ordered categorical indicators. Self-efficacy has been one of the most important psychosocial constructs in physical activity research for decades. Unfortunately, sub-optimal practices in constructing self-efficacy scales in physical activity contexts are frequently observed and decrease validity for scores produced from responses to these instruments. Guidelines for constructing self-efficacy scales have been available for decades, but adherence remains inconsistent. Therefore, the substantive focus of this tutorial was measurement of self-efficacy in physical activity contexts. The synergy within this tutorial was factor analysis of simulated ordered categorical responses to self-efficacy indicators. Annotated files from Mplus and R are provided.

Automated summary

Factor analysis of ordered categorical indicators in kinesiology is a common practice, but certain assumptions made in commonly used methods may lead to analytical errors. Although methods that relax these assumptions have been available for a long time, their adoption has been slow. This tutorial focuses on the methodological aspects of factor analysis of ordered categorical indicators, while also addressing the measurement of self-efficacy in physical activity contexts. The tutorial provides annotated files from Mplus and R for analyzing simulated ordered categorical responses to self-efficacy indicators.