Please use this identifier to cite or link to this item:
doi:10.22028/D291-41176
Title: | Scaling Metric Measurement Invariance Models |
Author(s): | Klopp, Eric Klößner, Stefan |
Language: | English |
Title: | Methodology |
Volume: | 19 |
Issue: | 3 |
Pages: | 192-227 |
Publisher/Platform: | European Association of Methodology |
Year of Publication: | 2023 |
Free key words: | metric measurement invariance partial measurement invariance scaling methods referent indicator equivalence |
DDC notations: | 330 Economics 370 Education |
Publikation type: | Journal Article |
Abstract: | This paper aims at clarifying the questions regarding the effects of the scaling method on the discrepancy function of the metric measurement invariance model. We provide examples and a formal account showing that neither the choice of the scaling method in general nor the choice of a particular referent indicator affects the value of the discrepancy function. Thus, the test statistic is not affected by the scaling method, either. The results rely on an appropriate application of the scaling restrictions, which can be phrased as a simple rule: "Apply the scaling restriction in one group only!" We develop formulas to calculate the degrees of freedom of χ²-difference tests comparing metric models to the corresponding configural model. Our findings show that it is impossible to test the invariance of the estimated loading of exactly one indicator, because metric MI models aimed at doing so are actually equivalent to the configural model. |
DOI of the first publication: | 10.5964/meth.10177 |
URL of the first publication: | https://doi.org/10.5964/meth.10177 |
Link to this record: | urn:nbn:de:bsz:291--ds-411760 hdl:20.500.11880/36946 http://dx.doi.org/10.22028/D291-41176 |
ISSN: | 1614-2241 |
Date of registration: | 24-Nov-2023 |
Description of the related object: | Supplementary Materials |
Related object: | https://doi.org/10.17605/OSF.IO/7QKTH |
Faculty: | HW - Fakultät für Empirische Humanwissenschaften und Wirtschaftswissenschaft |
Department: | HW - Bildungswissenschaften HW - Wirtschaftswissenschaft |
Professorship: | HW - Prof. Dr. Robin Stark HW - Keiner Professur zugeordnet |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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10177-Article-105511-2-10-20230928.pdf | 733,9 kB | Adobe PDF | View/Open |
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