Model Fit Indices for Random Effects Models: Translating Model Fit Ideas from Latent Growth Curve Models

被引:1
作者
Zhang, Ziwei [1 ]
Rohloff, Corissa T. [1 ]
Kohli, Nidhi [1 ,2 ]
机构
[1] Univ Minnesota, Minneapolis, MN 55455 USA
[2] Univ Minnesota, 166 Educ Sci Bldg, 56 East River Rd, Minneapolis, MN 55455 USA
关键词
Latent growth curve model; linear and nonlinear models; overall model fit indices; random effects model; RANDOM COEFFICIENT MODELS; LEARNING-DISABILITIES; STUDENTS;
D O I
10.1080/10705511.2022.2138893
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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 (chi 2), 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.
引用
收藏
页码:822 / 830
页数:9
相关论文
共 32 条
[11]   Nonlinear Growth Curves in Developmental Research [J].
Grimm, Kevin J. ;
Ram, Nilam ;
Hamagami, Fumiaki .
CHILD DEVELOPMENT, 2011, 82 (05) :1357-1371
[12]   Fitting partially nonlinear random coefficient models as SEMs [J].
Harring, Jeffrey R. ;
Cudeck, Robert ;
du Toit, Stephen H. C. .
MULTIVARIATE BEHAVIORAL RESEARCH, 2006, 41 (04) :579-596
[13]   Piecewise latent growth models: beyond modeling linear-linear processes [J].
Harring, Jeffrey R. ;
Strazzeri, Marian M. ;
Blozis, Shelley A. .
BEHAVIOR RESEARCH METHODS, 2021, 53 (02) :593-608
[14]   Fitting correlated residual error structures in nonlinear mixed-effects models using SAS PROC NLMIXED [J].
Harring, Jeffrey R. ;
Blozis, Shelley A. .
BEHAVIOR RESEARCH METHODS, 2014, 46 (02) :372-384
[15]   Cutoff Criteria for Fit Indexes in Covariance Structure Analysis: Conventional Criteria Versus New Alternatives [J].
Hu, Li-tze ;
Bentler, Peter M. .
STRUCTURAL EQUATION MODELING-A MULTIDISCIPLINARY JOURNAL, 1999, 6 (01) :1-55
[16]  
Kline R. B, 2015, Principles and practice of structural equation modeling, V4th
[17]   A Finite Mixture of Nonlinear Random Coefficient Models for Continuous Repeated Measures Data [J].
Kohli, Nidhi ;
Harring, Jeffrey R. ;
Zopluoglu, Cengiz .
PSYCHOMETRIKA, 2016, 81 (03) :851-880
[18]   Longitudinal mathematics development of students with learning disabilities and students without disabilities: A comparison of linear, quadratic, and piecewise linear mixed effects models [J].
Kohli, Nidhi ;
Sullivan, Amanda L. ;
Sadeh, Shanna ;
Zopluoglu, Cengiz .
JOURNAL OF SCHOOL PSYCHOLOGY, 2015, 53 (02) :105-120
[19]   Modeling Growth in Latent Variables Using a Piecewise Function [J].
Kohli, Nidhi ;
Harring, Jeffrey R. .
MULTIVARIATE BEHAVIORAL RESEARCH, 2013, 48 (03) :370-397
[20]   RANDOM-EFFECTS MODELS FOR LONGITUDINAL DATA [J].
LAIRD, NM ;
WARE, JH .
BIOMETRICS, 1982, 38 (04) :963-974