PEMODELAN INDEKS PEMBANGUNAN MANUSIA DI INDONESIA MENGGUNAKAN REGRESI NONPARAMETRIK ADITIF SPLINE SMOOTHING DENGAN ESTIMATOR PENALIZED

Abstract

The Human Development Index (HDI) in Indonesia currently ranks 121 out of 187 countries and Indonesia is in 6th position out of 10 ASEAN countries, where the quality of human resources in Indonesia is still low. This research is HDI modeling using nonparametric regression additive spline smoothing with penalized estimator. The data used is secondary data obtained from BPS (2019). This data includes the Human Development Index (IPM), Life Expectancy (UHH), Expected Length of Schooling (HLS), Average Length of Schooling (RLS), and Adjusted Per capita Expenditure (PPD) in 2019. Spline smoothing method with penalized estimator can be obtained from this research is one optimal knot point using generalized cross validation criteria, then the application of a nonparametric regression model additive spline smoothing with a penalized estimator on HDI data in Indonesia which has an MSE of 0,002623 and an Rsquare of 99,98