TY - JOUR
T1 - Model Fit Indices for Random Effects Models
T2 - Translating Model Fit Ideas from Latent Growth Curve Models
AU - Zhang, Ziwei
AU - Rohloff, Corissa T
AU - Kohli, Nidhi
N1 - Publisher Copyright:
© 2022 Taylor & Francis Group, LLC.
PY - 2023
Y1 - 2023
N2 - The latent growth curve modeling (LGM) and random effects modeling (REM) frameworks are analytically and empirically equivalent for intrinsically linear models and used interchangeably for intrinsically nonlinear models. However, while LGM provides overall model fit indices, REM does not. Overall model fit indices are useful because they evaluate how well a specified model fits data. This paper proposes to translate model fit concepts from LGM to REM to help researchers compute overall model fit indices, including the model chi-square ((Formula presented.)), comparative fit index (CFI), root mean squared error of approximation (RMSEA), and standardized root mean squared residual (SRMR). Three empirical examples were used as illustrations.
AB - The latent growth curve modeling (LGM) and random effects modeling (REM) frameworks are analytically and empirically equivalent for intrinsically linear models and used interchangeably for intrinsically nonlinear models. However, while LGM provides overall model fit indices, REM does not. Overall model fit indices are useful because they evaluate how well a specified model fits data. This paper proposes to translate model fit concepts from LGM to REM to help researchers compute overall model fit indices, including the model chi-square ((Formula presented.)), comparative fit index (CFI), root mean squared error of approximation (RMSEA), and standardized root mean squared residual (SRMR). Three empirical examples were used as illustrations.
KW - Latent growth curve model
KW - linear and nonlinear models
KW - overall model fit indices
KW - random effects model
UR - http://www.scopus.com/inward/record.url?scp=85142395246&partnerID=8YFLogxK
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U2 - 10.1080/10705511.2022.2138893
DO - 10.1080/10705511.2022.2138893
M3 - Article
AN - SCOPUS:85142395246
SN - 1070-5511
VL - 30
SP - 822
EP - 830
JO - Structural Equation Modeling
JF - Structural Equation Modeling
IS - 5
ER -