Finding invariance when noninvariance is found: An illustrative example of conducting partial measurement invariance testing with the automation of the factor‐ratio test and list‐and‐delete procedure

Author(s):  
Bryn Hammack‐Brown ◽  
Julia A. Fulmore ◽  
Greggory L. Keiffer ◽  
Kim Nimon
2011 ◽  
Vol 72 (3) ◽  
pp. 469-492 ◽  
Author(s):  
Eun Sook Kim ◽  
Myeongsun Yoon ◽  
Taehun Lee

Multiple-indicators multiple-causes (MIMIC) modeling is often used to test a latent group mean difference while assuming the equivalence of factor loadings and intercepts over groups. However, this study demonstrated that MIMIC was insensitive to the presence of factor loading noninvariance, which implies that factor loading invariance should be tested through other measurement invariance testing techniques. MIMIC modeling is also used for measurement invariance testing by allowing a direct path from a grouping covariate to each observed variable. This simulation study with both continuous and categorical variables investigated the performance of MIMIC in detecting noninvariant variables under various study conditions and showed that the likelihood ratio test of MIMIC with Oort adjustment not only controlled Type I error rates below the nominal level but also maintained high power across study conditions.


2016 ◽  
Vol 32 (4) ◽  
pp. 265-272 ◽  
Author(s):  
Mohsen Joshanloo ◽  
Ali Bakhshi

Abstract. This study investigated the factor structure and measurement invariance of the Mroczek and Kolarz’s scales of positive and negative affect in Iran (N = 2,391) and the USA (N = 2,154), and across gender groups. The two-factor model of affect was supported across the groups. The results of measurement invariance testing confirmed full metric and partial scalar invariance of the scales across cultural groups, and full metric and full scalar invariance across gender groups. The results of latent mean analysis revealed that Iranians scored lower on positive affect and higher on negative affect than Americans. The analyses also showed that American men scored significantly lower than American women on negative affect. The significance and implications of the results are discussed.


2017 ◽  
Vol 33 (4) ◽  
pp. 297-313 ◽  
Author(s):  
T. E. Virtanen ◽  
P. Moreira ◽  
H. Ulvseth ◽  
H. Andersson ◽  
S. Tetler ◽  
...  

The promotion of students’ engagement with school is an internationally acknowledged challenge in education. There is a need to examine the structure of the concept of student engagement and to discover the best practices for fostering it across societies. That is why the cross-cultural invariance testing of students’ engagement measures is highly needed. This study aimed, first, to find the reduced set of theoretically valid items to represent students’ affective and cognitive engagement forming the Brief-SEI (brief version of the Student Engagement Instrument; SEI). The second aim was to test the measurement invariance of the Brief-SEI across three countries (Denmark, Finland, and Portugal). A total of 4,437 seventh-grade students completed the SEI questionnaires in the three countries. The analyses revealed that of the total 33 original instrument items, 15 items indicated acceptable psychometric properties of the Brief-SEI. With these 15 items, cross-national factorial validity and invariances across genders and students with different levels of academic performance (samples from Finland and Portugal) were demonstrated. This article discusses the utility of the Brief-SEI in cross-cultural research and its applicability in different national school contexts.


Author(s):  
Lihua Xu

Scale development is an important step in empirical research. This chapter describes the common procedures to follow in scale development with essential factor analytical methods. The concept of measurement invariance, the importance of its testing prior to group comparisons, and testing procedures are discussed. Single-group, multi-group, and hierarchical confirmatory factor analytical methods and associated decision making are described. Procedural steps in scale development and measurement invariance testing are illustrated at length using a real dataset in stereotype threat and principals' leadership style in the United States.


PLoS ONE ◽  
2019 ◽  
Vol 14 (12) ◽  
pp. e0226223 ◽  
Author(s):  
Laura Mezquita ◽  
Adrian J. Bravo ◽  
Julien Morizot ◽  
Angelina Pilatti ◽  
Matthew R. Pearson ◽  
...  

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