Simultaneous hypothesis testing of spline truncated model in nonlinear structural equation modeling (SEM)

Ruliana; I.N. Budiantara; B.W. Otok; W. Wibowo

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Simultaneous hypothesis testing of spline truncated model in nonlinear structural equation modeling (SEM)

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Ruliana, I.N. Budiantara, B.W. Otok, W. Wibowo

2016 Journal of Theoretical and Applied Information Technology Vol. 89 Issue 2 Article Cited by 4 SDG 16

Abstract

Model of spline truncated in structural equation modeling (SEM) is a nonlinear structural model of SEM that measures a nonlinear relationship between the latent variables. This report was developed a hypothesis testing for the parameter of spline truncated model in nonlinear SEM using likelihood ratio test (LRT). To test hypothesis H0:C′γ = τ versus H0:C′γ ≠ τ in spline truncated model of nonlinear SEM for matrix C, vector parameter γ and a constant vector τ, is discovered that a statistical testing is in form of (Formula presented) which has a distribution F(d1,d2), and rejects H0 in which W values are quite large. © 2005 - 2016 JATIT & LLS. All rights reserved.

Affiliations

Department of Statistics, Faculty of Mathematics and Natural Sciences, Sepuluh Nopember Institute of Technology (ITS), Surabaya, Indonesia; Department of Mathematics, Faculty and Natural Sciences, State University of Makassar (UNM), Makassar, Indonesia

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