Structural equation modeling (SEM) based on covariant (CBSEM), in defining a structural model which assumes that it is linear, can be modified to the form of nonlinear structural model that is called the spline truncated SEM ωη = Γξκγ+ξ, for the γ is vector of parameter and a particular matrix Γξκ which contains factor scores of exogenous latent variable and knot point. To test the hypothesis of H0: υ′j γ = 0 against H0: υ′j γ ≠ 0, for a vector line υ′j in which the element j is 1 and the other is 0, by using likelihood ratio test (LRT), is obtained the statistical test of hypothesis namely (Formula presented) distributed by t with independent degree s2. Area of rejection H0 for this hypothesis fulfills the equation of P(T < -K**)=α/2 or P(T > K**)=α/2 for a constant K**.

Original languageEnglish
Pages (from-to)3775-3786
Number of pages12
JournalGlobal Journal of Pure and Applied Mathematics
Issue number4
Publication statusPublished - 2016


  • Critical region
  • Nonlinear SEM
  • Partially statistical test
  • Spline truncated


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