Adji Achmad Rinaldo Fernandes, Solimun, Endang Arisoesilaningsih
The aim of this research is to estimate the spline in Path Analysis-based on Nonparametric Regression using Penalized Weighted Least Square (PWLS) approach. Approach used is Reproducing Kernel Hilbert Space at sobolev space. Nonparametric path analysis model on the equation y1i=f1.1(x1i)+ϵ1i;y2i=f1.2(x1i)+f2.2(y1i)+ϵ2i; i=1,2,..,n Nonparametric Path Analysis which meet the criteria of minimizing PWLS minfw.kW2m[aw.k,bw.k],k=1,2{ (2n)-1(y-f)TΣ-1(y-f)+k=12w=12λw.kaw.kbw.k [fw.k(m)(xi)] 2dxi } is f=Ay with A=T1(T1TU1-1-1T1)-1T1TU1-1-1+V1U1-1-1[I-T1(T1TU1-1-1T1)-1T1TU1-1-1]+T2(T2TU2-1-1T2)-1T2TU2-1-1+V2U2-1-1[I1-T2(T2TU2-1-1T2)-1T2TU2-1-1] © 2017 Author(s).
Statistics Study Program, Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Indonesia; Department of Biology, Faculty of Mathematics and Natural Sciences, Brawijaya University, Indonesia
