Open AccessEstimation of Truncated Spline Function in Non-parametric Path Analysis Based on Weighted Least Square (WLS)
Author(s) -
Muhamad Fariq Hidayat,
Rinaldo F. Adji Achmad,
. Solimun
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/546/5/052027
Subject(s) - mathematics , spline (mechanical) , estimator , nonparametric statistics , smoothing spline , parametric statistics , knot (papermaking) , parametric equation , path (computing) , square (algebra) , function (biology) , statistics , geometry , computer science , spline interpolation , evolutionary biology , structural engineering , chemical engineering , engineering , bilinear interpolation , biology , programming language
The purpose of this research is to identify a particular relationship pattern among predictors and response variables where the response variables are multi-response and correlated. Path analysis is one of the appropriate statistical parametric method to estimate the parameter when the curves are known, but in fact the curves is unknown. Nonparametric approach is a suitable method to estimate the unknown curve in Path Analysis. Truncated spline provides a powerful tool for estimating curve in non-parametric path model with the optimal knots will be estimated by using Generalized Cross Validation . Truncated spline estimator is obtained from Weighted Least Square (WLS) technique that depends on polynomial degree and knot.