Longitudinal Measurement (Non)Invariance in Latent Constructs

Author(s):  
Heinz Leitgöb ◽  
Daniel Seddig ◽  
Peter Schmidt ◽  
Edward Sosu ◽  
Eldad Davidov

The chapter discusses the basic principles and core problems of latent variable panel modelling, with a focus on the specification of error structures and (the evaluation of) longitudinal measurement invariance. We address alternative specifications of autocorrelative error structures, and demonstrate how to decompose the indicators’ residual variances into indicator-specific and random error components. Furthermore, besides describing the conventional global testing strategy for measurement (non)invariance, we contribute to the literature by integrating theoretical and analytical elements not yet extensively discussed outside the respective disciplines. We (i) introduce response shift theory as viable theoretical basis for the occurrence of noninvariance across time; (ii) provide a detailed description of model and scale identification strategies, accompanied by a critical reflection of their potential to adequately detect noninvariant parameters; and (iii) discuss the concepts of partial and approximate measurement invariance as well as the decomposition of response shifts and true change as different strategies of how to deal with measurement noninvariance.

2021 ◽  
pp. 003329412110360
Author(s):  
Qingsong Tan ◽  
Jilin Zou ◽  
Feng Kong

The 5-item Gratitude Questionnaire (GQ-5) is one of the most commonly used instruments to measure dispositional gratitude in adolescents. The purpose of this study was to verify the longitudinal measurement invariance (LMI) and gender measurement invariance (GMI) of the GQ-5 that was administered to an adolescent sample twice over the course of 18 months ( N = 669). Single-group confirmatory factor analysis (CFA) was adopted to examine the LMI and multiple-group CFA was conducted to assess the GMI. The results showed that the GQ-5 had strong invariance (i.e., equality of factor patterns, loadings, and intercepts) across time and gender. Validation of latent factor mean differences showed that females had higher gratitude scores than males. In addition, the GQ-5 exhibited good internal consistency indices across time and a moderate stability coefficient was also found across an 18-month time interval in adolescents. In summary, our study showed that LMI and GMI of the GQ-5 are satisfactory and the GQ-5 is a reliable instrument for measuring gratitude in adolescents.


Assessment ◽  
2016 ◽  
Vol 24 (3) ◽  
pp. 337-345 ◽  
Author(s):  
Pei-Chen Wu

This study explored the longitudinal measurement invariance in the Beck Depression Inventory–II (BDI-II) in early adolescents (junior high school students). The participants were 730 early adolescents (330 boys and 400 girls), who were followed up over 3 years (in six waves). To reduce the size of longitudinal model and verify the stability of the findings, the Fall and Spring series data sets were analyzed separately. Each series includes three waves of data with about 1-year apart. It was found that the three-factor model (Negative Attitude, Performance Difficulty, and Somatic Elements) best fitted the data. Results of both data sets provided support for the longitudinal measurement invariance (threshold invariance) of the three-factor model, suggesting that the BDI-II measured the same construct over 3 years. The study also examined the category function of the BDI-II on the basis of the pattern of threshold estimates. Finally, the implications of the findings on the continuing use of the BDI-II are discussed.


Assessment ◽  
2019 ◽  
Vol 28 (1) ◽  
pp. 277-294
Author(s):  
Gerard Flens ◽  
Niels Smits ◽  
Caroline B. Terwee ◽  
Liv Pijck ◽  
Philip Spinhoven ◽  
...  

We investigated longitudinal measurement invariance in the Dutch–Flemish PROMIS adult v1.0 item banks for Depression and Anxiety using two clinical samples with mood and anxiety disorders ( n = 640 and n = 528, respectively). Factor analysis was used to evaluate whether the item banks were sufficiently unidimensional at two test-occasions and whether the measured constructs remained the same over time. The results indicated that the item banks were sufficiently unidimensional, but the thresholds and residual variances of the constructs changed over time. However, using tentative rules of thumb, these invariance violations did not substantially affect the endorsement of a specific response category of a specific item at a specific test-occasion. Furthermore, the impact on the mean latent change scores of the item banks remained below the proposed cutoff value for substantial bias. These findings suggest that the invariance violations lacked practical significance for test-users, meaning that the item banks provide sufficiently invariant latent factor scores for use in clinical practice.


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