Partial Hypothesis Testing of Truncated Spline Model in Nonparametric Regression

被引：0

作者：

Husni, Imra Atil ^{[1
,2
]}

Budiantara, I. Nyoman ^{[1
]}

Zain, Ismaini ^{[1
]}

机构：

[1] Sepuluh Nopember Inst Technol, Fac Math Computat & Data Sci, Departmen Stat, Surabaya 60111, East Java, Indonesia

[2] Stat East Nusa Tenggara Prov, Kupang, Indonesia

来源：

8TH ANNUAL BASIC SCIENCE INTERNATIONAL CONFERENCE: COVERAGE OF BASIC SCIENCES TOWARD THE WORLD'S SUSTAINABILITY CHALLANGES | 2018年 / 2021卷

关键词：

Nonparametric; regression; variable;

D O I：

10.1063/1.5062798

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：8

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