| Summary: | 博士 === 國立政治大學 === 心理學系 === 104 === Modeling latent nonlinear effects is a significant issue in the social and behavioral sciences. A variety of approaches have recently been developed for the estimation of nonlinear structural equation modeling. To the best of our knowledge most of these approaches have been developed primarily to estimate interaction and/or quadratic effects of reflectively-measured latent variables, while leaving nonlinear effects of formatively-measured latent variables unaccounted for. The current study implements formatively-measured latent variables into Jöreskog and Yang’s (1996) constrained approach by extending Chen and Cheng’s (2014) research to create a unified set of six generalized nonlinear frameworks, each capable of differentially or collectively modeling the three types of latent nonlinear effects that have arisen in empirical applications (i.e., interaction and/or quadratic effects between reflective latent variables, between formative latent variables, and between reflective and formative latent variables). By preserving the inherent advantage of Chen and Cheng, i.e., the matrix partitioning technique, while at the same time further generalizing its applicability, it is expected that the current framework enhances the potential usefulness of the constrained approach as well as the entire class of product indicator approaches.
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