Partial hypothesis testing of truncated spline model in nonparametric regression

Imra Atil Husni, I. Nyoman Budiantara*, Ismaini Zain

*Corresponding author for this work

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

Abstract

Nonparametric regression is a method used to analyze the relation between response variables and predictor variables that do not follow a particular pattern. One common approach used in nonparametric regression is truncated spline, because of its high flexibility and good visual interpretation. The study of partial hypothesis testing in nonparametric regression is important in statistical inference. The likelihood ratio test will be used in order to define the test statistic. Theoretical study resulted in a the statistical test for partial hypothesis testing, denoted by Q and following Student's t-distribution with (n-(1+(m+r)h) degrees of freedom.

Original languageEnglish
Title of host publication8th Annual Basic Science International Conference
Subtitle of host publicationCoverage of Basic Sciences toward the World's Sustainability Challenges
EditorsCorina Karim, Rodliyati Azrianingsih, Mauludi Ariesto Pamungkas, Yoga Dwi Jatmiko, Anna Safitri
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735417397
DOIs
Publication statusPublished - 17 Oct 2018
Event8th Annual Basic Science International Conference: Coverage of Basic Sciences toward the World's Sustainability Challanges, BaSIC 2018 - Malang, East Java, Indonesia
Duration: 6 Mar 20187 Mar 2018

Publication series

NameAIP Conference Proceedings
Volume2021
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference8th Annual Basic Science International Conference: Coverage of Basic Sciences toward the World's Sustainability Challanges, BaSIC 2018
Country/TerritoryIndonesia
CityMalang, East Java
Period6/03/187/03/18

Keywords

  • Nonparametric
  • regression
  • variable

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