A Cross-Classified CFA-MTMM Model for Structurally Different and Nonindependent Interchangeable Methods

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2016
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Koch, Tobias
Schultze, Martin
Jeon, Minjeong
Praetorius, Anna-Katharina
Eid, Michael
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Multivariate Behavioral Research. 2016, 51(1), pp. 67-85. ISSN 0027-3171. eISSN 1532-7906. Available under: doi: 10.1080/00273171.2015.1101367
Zusammenfassung

Multirater (multimethod, multisource) studies are increasingly applied in psychology. Eid and colleagues (2008) proposed a multilevel confirmatory factor model for multitrait-multimethod (MTMM) data combining structurally different and multiple independent interchangeable methods (raters). In many studies, however, different interchangeable raters (e.g., peers, subordinates) are asked to rate different targets (students, supervisors), leading to violations of the independence assumption and to cross-classified data structures. In the present work, we extend the ML-CFA-MTMM model by Eid and colleagues (2008) to cross-classified multirater designs. The new C4 model (Cross-Classified CTC[M-1] Combination of Methods) accounts for nonindependent interchangeable raters and enables researchers to explicitly model the interaction between targets and raters as a latent variable. Using a real data application, it is shown how credibility intervals of model parameters and different variance components can be obtained using Bayesian estimation techniques.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
150 Psychologie
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Bayesian analysis, cross-classification, MTMM modeling, structurally different and interchangeable methods
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ISO 690KOCH, Tobias, Martin SCHULTZE, Minjeong JEON, Fridtjof W. NUSSBECK, Anna-Katharina PRAETORIUS, Michael EID, 2016. A Cross-Classified CFA-MTMM Model for Structurally Different and Nonindependent Interchangeable Methods. In: Multivariate Behavioral Research. 2016, 51(1), pp. 67-85. ISSN 0027-3171. eISSN 1532-7906. Available under: doi: 10.1080/00273171.2015.1101367
BibTex
@article{Koch2016Cross-43788,
  year={2016},
  doi={10.1080/00273171.2015.1101367},
  title={A Cross-Classified CFA-MTMM Model for Structurally Different and Nonindependent Interchangeable Methods},
  number={1},
  volume={51},
  issn={0027-3171},
  journal={Multivariate Behavioral Research},
  pages={67--85},
  author={Koch, Tobias and Schultze, Martin and Jeon, Minjeong and Nussbeck, Fridtjof W. and Praetorius, Anna-Katharina and Eid, Michael}
}
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