Testing for Association via Automated Order Selection

  • Jeffrey D. Hart
Part of the Springer Series in Statistics book series (SSS)

Abstract

The tests in Chapter 6 assumed a fixed smoothing parameter. In Chapters 7 and 8 we will discuss tests based on data-driven smoothing parameters. The current chapter deals with testing the “no-effect” hypothesis, and Chapter 8 treats more general parametric hypotheses. The methodology proposed in Chapter 7 makes use of an orthogonal series representation for r. In principle any series representation could be used, but for now we consider only trigonometric series. This is done for the sake of clarity and to make the ideas less abstract. Section 7.8 discusses the use of other types of orthogonal series.

Keywords

Regression Function Fourier Coefficient Order Selection Piecewise Smooth Function Standard Normal Random Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Jeffrey D. Hart
    • 1
  1. 1.Department of StatisticsTexas A&M UniversityCollege StationUSA

Personalised recommendations