TY - JOUR
T1 - Estimation of truncated spline in nonlinear structural equation modeling using weighted least squares method
AU - Ruliana,
AU - Budiantara, I. N.
AU - Otok, B. W.
AU - Wibowo, W.
N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2017/10/28
Y1 - 2017/10/28
N2 - Structural equation modeling (SEM) consists of two parts, the measurement model and the structural model. In this paper, we develop a SEM model that the measurement model is linear and the structural model is nonlinear. Structural model explain about relationship between latent variables. Truncated spline is used for modeling the nonlinear relationship between the latent variables. Trought weighted least squares (WLS) method, It is found that estimation of parameter truncated spline in nonlinear SEM for two exogen and an endogen latent variables is resulted by optimizing min γ {Σ - 1 2 ( ω η - Γ ξ κ γ ) 2 } and it gave an estimator γ ^ = ( Γ ′ ξ k Σ - 1 Γ ξ k ) - 1 Γ ′ ξ k Σ - 1 ω η The estimator influenced by the location and some knot points κ 1 and κ 2.
AB - Structural equation modeling (SEM) consists of two parts, the measurement model and the structural model. In this paper, we develop a SEM model that the measurement model is linear and the structural model is nonlinear. Structural model explain about relationship between latent variables. Truncated spline is used for modeling the nonlinear relationship between the latent variables. Trought weighted least squares (WLS) method, It is found that estimation of parameter truncated spline in nonlinear SEM for two exogen and an endogen latent variables is resulted by optimizing min γ {Σ - 1 2 ( ω η - Γ ξ κ γ ) 2 } and it gave an estimator γ ^ = ( Γ ′ ξ k Σ - 1 Γ ξ k ) - 1 Γ ′ ξ k Σ - 1 ω η The estimator influenced by the location and some knot points κ 1 and κ 2.
UR - http://www.scopus.com/inward/record.url?scp=85034574105&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/893/1/012028
DO - 10.1088/1742-6596/893/1/012028
M3 - Conference article
AN - SCOPUS:85034574105
SN - 1742-6588
VL - 893
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012028
T2 - Asian Mathematical Conference 2016, AMC 2016
Y2 - 25 July 2016 through 29 July 2016
ER -