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Original Articles

A Semiparametric Approach to Modeling Nonlinear Relations Among Latent Variables

Pages 513-535 | Published online: 19 Nov 2009

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Steven M. Boker, Timo von Oertzen, Joshua N. Pritikin, Michael D. Hunter, Timothy R. Brick, Andreas M. Brandmaier & Michael C. Neale. (2023) Products of Variables in Structural Equation Models. Structural Equation Modeling: A Multidisciplinary Journal 30:5, pages 708-718.
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Scott Monroe. (2018) Contributions to Estimation of Polychoric Correlations. Multivariate Behavioral Research 53:2, pages 247-266.
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Axel Mayer, Nora Umbach, Barbara Flunger & Augustin Kelava. (2017) Effect Analysis Using Nonlinear Structural Equation Mixture Modeling. Structural Equation Modeling: A Multidisciplinary Journal 24:4, pages 556-570.
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Johanna M. de Kort, Conor V. Dolan, Gitta H. Lubke & Dylan Molenaar. (2017) Studying the Strength of Prediction Using Indirect Mixture Modeling: Nonlinear Latent Regression with Heteroskedastic Residuals. Structural Equation Modeling: A Multidisciplinary Journal 24:2, pages 301-313.
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Axel Mayer, Lisa Dietzfelbinger, Yves Rosseel & Rolf Steyer. (2016) The EffectLiteR Approach for Analyzing Average and Conditional Effects. Multivariate Behavioral Research 51:2-3, pages 374-391.
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Steffen Nestler. (2015) A Specification Error Test That Uses Instrumental Variables to Detect Latent Quadratic and Latent Interaction Effects. Structural Equation Modeling: A Multidisciplinary Journal 22:4, pages 542-551.
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Holger Brandt & Andreas G. Klein. (2015) A Heterogeneous Growth Curve Model for Nonnormal Data. Multivariate Behavioral Research 50:4, pages 416-435.
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Jolynn Pek & R. Philip Chalmers. (2015) Diagnosing Nonlinearity With Confidence Envelopes for a Semiparametric Approach to Modeling Bivariate Nonlinear Relations Among Latent Variables. Structural Equation Modeling: A Multidisciplinary Journal 22:2, pages 288-293.
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Sonya K. Sterba. (2014) Fitting Nonlinear Latent Growth Curve Models With Individually Varying Time Points. Structural Equation Modeling: A Multidisciplinary Journal 21:4, pages 630-647.
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Augustin Kelava, Benjamin Nagengast & Holger Brandt. (2014) A Nonlinear Structural Equation Mixture Modeling Approach for Nonnormally Distributed Latent Predictor Variables. Structural Equation Modeling: A Multidisciplinary Journal 21:3, pages 468-481.
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Shu-Ping Chen & Chung-Ping Cheng. (2014) Model Specification for Latent Interactive and Quadratic Effects in Matrix Form. Structural Equation Modeling: A Multidisciplinary Journal 21:1, pages 94-101.
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SonyaK. Sterba. (2013) Understanding Linkages Among Mixture Models. Multivariate Behavioral Research 48:6, pages 775-815.
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Augustin Kelava & Benjamin Nagengast. (2012) A Bayesian Model For The Estimation Of Latent Interaction And Quadratic Effects When Latent Variables Are Non-Normally Distributed. Multivariate Behavioral Research 47:5, pages 717-742.
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DanielJ. Bauer, RuthE. Baldasaro & NishaC. Gottfredson. (2012) Diagnostic Procedures for Detecting Nonlinear Relationships Between Latent Variables. Structural Equation Modeling: A Multidisciplinary Journal 19:2, pages 157-177.
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Dylan Molenaar, ConorV. Dolan & Han L.J. van der Maas. (2011) Modeling Ability Differentiation in the Second-Order Factor Model. Structural Equation Modeling: A Multidisciplinary Journal 18:4, pages 578-594.
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Jolynn Pek, Diane Losardo & DanielJ. Bauer. (2011) Confidence Intervals for a Semiparametric Approach to Modeling Nonlinear Relations among Latent Variables. Structural Equation Modeling: A Multidisciplinary Journal 18:4, pages 537-553.
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M. Grace-Anne Jackman, WalterL. Leite & DavidJ. Cochrane. (2011) Estimating Latent Variable Interactions with the Unconstrained Approach: A Comparison of Methods to Form Product Indicators for Large, Unequal Numbers of Items. Structural Equation Modeling: A Multidisciplinary Journal 18:2, pages 274-288.
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Ab Mooijaart & PeterM. Bentler. (2010) An Alternative Approach for Nonlinear Latent Variable Models. Structural Equation Modeling: A Multidisciplinary Journal 17:3, pages 357-373.
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Jolynn Pek, SonyaK. Sterba, BethanyE. Kok & DanielJ. Bauer. (2009) Estimating and Visualizing Nonlinear Relations Among Latent Variables: A Semiparametric Approach. Multivariate Behavioral Research 44:4, pages 407-436.
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DanielJ. Bauer. (2007) Observations on the Use of Growth Mixture Models in Psychological Research. Multivariate Behavioral Research 42:4, pages 757-786.
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Sik-Yum Lee, Xin-Yuan Song & Nian-Sheng Tang. (2007) Bayesian Methods for Analyzing Structural Equation Models With Covariates, Interaction, and Quadratic Latent Variables. Structural Equation Modeling: A Multidisciplinary Journal 14:3, pages 404-434.
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Johan Lyhagen. (2007) Estimating Nonlinear Structural Models: EMM and the Kenny–Judd Model. Structural Equation Modeling: A Multidisciplinary Journal 14:3, pages 391-403.
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