The procedures of carrying out factorial invariance to validate a construct were well developed to ensure the reliability of the construct that can be used across groups for comparison and analysis, yet mainly restricted to the frequentist approach. This motivates an update to incorporate the growing Bayesian approach for carrying out the Bayesian…

This paper presents heuristic explanations of factor scores, structure coefficients, and communality coefficients. Common misconceptions regarding these topics are clarified. In addition, (a) the regression (b) Bartlett, (c) Anderson-Rubin, and (d) Thompson methods for calculating factor scores are reviewed. Syntax necessary to execute all four…

Bi-factor analysis is a form of confirmatory factor analysis originally introduced by Holzinger and Swineford ("Psychometrika" 47:41-54, 1937). The bi-factor model has a general factor, a number of group factors, and an explicit bi-factor structure. Jennrich and Bentler ("Psychometrika" 76:537-549, 2011) introduced an exploratory form of bi-factor…

Using the example of responses from civil engineering students at a very highly ranked participating university, this guide demonstrates the importance of comparative data when using student questionnaire data for undergraduate academic program review. It also emphasizes the advantage of using factor structures for better questionnaire-based…

The scores of handicapped students taking tests such as the Scholastic Aptitude Test (SAT) or the Graduate Record Examinations are flagged so that admissions officers will be aware that they were achieved under special circumstances. A series of studies was initiated to determine whether special administrations of such tests are comparable to…