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Examining Differences of Invariance Alignment in the Mplus Software and the R Package Sirt

Abstract
Invariance alignment (IA) is a multivariate statistical technique to compare the means and standard deviations of a factor variable in a one-dimensional factor model across multiple groups. To date the IA method is most frequently estimated using the commercial Mplus software. IA has also been implemented in the R package sirt. In this article the performance of IA in the software packages Mplus and R are compared. It is argued and empirically shown in a simulation study and an empirical example that differences between software packages are primarily the cause of different identification constraints in IA. With a change of the identification constraint employing an argument in the IA function in sirt Mplus and sirt resulted in comparable performance. Moreover in line with previous work the simulation study also highlighted that the tuning parameter ε = 0.001 in IA is preferable to ε = 0.01 . Furthermore an empirical example raises the question of whether IA in its current implementations behaves as expected in the case of many groups.
Authors
Alexander Robitzsch Alexander Robitzsch: IPN–Leibniz Institute for Science and Mathematics Education Olshausenstraße 62 24118 Kiel Germany
Keywords
invariance alignment ; confirmatory factor analysis ; measurement invariance ; statistical software (search for similar items in EconPapers)
Rank
0.49
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Factor Model
Series
Mathematics 2024 vol. 12 issue 5 1-16
Time Added
2024/03/11 03:46
Total Downloads
0
Year Published
2024
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