Sample size planning for testing significance of curves. Issue 11 (17th August 2016)

• Record Type: Journal Article
• Authors: Gao, Hsiao-Hsian; Huang, Li-Shan
• Is Part Of: Journal of applied statistics. Volume 43:Issue 11(2016)
• Page Start: 2019
• Page End: 2028
• Publication Date: 2016-08-17
• Subjects: ANOVA decomposition -- effect size -- local linear regression -- nonparametric F-test -- partially linear model -- R-squared; 62G08 -- 62J10; Statistics -- Periodicals; 519.5
• DOI: 10.1080/02664763.2015.1126238
• Languages: English
• ISSNs: 0266-4763

Abstract

ABSTRACT: Smoothing methods for curve estimation have received considerable attention in statistics with a wide range of applications. However, to our knowledge, sample size planning for testing significance of curves has not been discussed in the literature. This paper focuses on sample size calculations for nonparametric regression and partially linear models based on local linear estimators. We describe explicit procedures for sample size calculations based on non- and semi-parametric F -tests. Data examples are provided to demonstrate the use of the procedures.