Bi-response Spline Smoothing Estimator for Modelling the Percentage of Poor Population and Human Development Index in Papua Province

Dyah Putri Rahmawati, I. Nyoman Budiantara*, Dedy Dwi Prastyo, Made Ayu Dwi Octavanny

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

The percentage of the poor population (PPP) and the Human Development Index (HDI) are important indicators to measure the success of a country's development. Papua is the province with the highest PPP and the lowest HDI in Indonesia. Therefore, these two indicators in Papua require special attention and appropriate methods, especially when analyzed with other variables as predictors. One of the predictor variables that affect PPP and HDI is the School Participation Rate (SPR). The bi-response Spline Smoothing estimator is applied to this data because there is a correlation between PPP and HDI and the relationship patterns between the two responses with SPR are unknown. The Model estimation is done by applying the Penalized Weighted Least Square method. The best model for PPP and HDI in Papua is a model with a minimum GCV value 8.4554, this model gives R2=97.63% and MSE= 7.0153. The validation of this model produces MAPE value of 6.57%. These empirical results indicate that the bi-response Spline Smoothing is suitable for modelling the PPP and HDI simultaneously in Papua Province.

Original languageEnglish
Title of host publicationInternational Conference on Mathematics, Computational Sciences and Statistics 2020
EditorsCicik Alfiniyah, Fatmawati, Windarto
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735440739
DOIs
Publication statusPublished - 26 Feb 2021
EventInternational Conference on Mathematics, Computational Sciences and Statistics 2020, ICoMCoS 2020 - Surabaya, Indonesia
Duration: 29 Sept 2020 → …

Publication series

NameAIP Conference Proceedings
Volume2329
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Mathematics, Computational Sciences and Statistics 2020, ICoMCoS 2020
Country/TerritoryIndonesia
CitySurabaya
Period29/09/20 → …

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