Smoothing Spline Estimator in Nonparametric Regression (Application: Poverty in Papua Province)

Abstract

Three estimates were obtained in estimating the regression curve, namely estimation of parametric regression, nonparametric regression and semiparametric regression. The most popular nonparametric regression option is smoothing spline. The advantage of smoothing spline is that it can use variable data at certain sub intervals, so this model needs to find its own data estimation. Smoothing Spline allows characters to function smoothly. In everyday life, data patterns are often found to change at certain sub-intervals, one of which is poverty data in Papua Province. Papua Province is ranked first in the percentage of poor people in Indonesia. The best nonparametric Smoothing Spline regression model for the poverty model in Papua Province with a generalized cross validation (GCV) value of 92.77 and R=99.99%.