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Activity Number: 527
Type: Topic Contributed
Date/Time: Wednesday, August 12, 2015 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract #315775
Title: Nonparametric Analysis of Covariance in Partial Linear Models with Factor-by-Curve Interactions
Author(s): Li-Shan Huang*
Companies: National Tsing Hua University
Keywords: local polynomial ; curve fitting ; F-test ; ANOVA decomposition
Abstract:

We develop nonparametric analysis of covariance tools for a partial linear model that include a factor-by-curve interaction. In other words, the model allows for possible nonlinear covariate effects which can have different shapes in different factor levels. Semiparametric F-tests are proposed to testing the significance of the factor-by-curve interaction, i.e., testing equality or parallelism of multiple regression curves. We demonstrate the testing procedures and their properties over simulated data. This is a joint work with Weiqiao Hong and Wenhsiung Nien.


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