
Accession Number : ADA191189
Title : On Hotelling's Approach to Testing for a Nonlinear Parameter in Regression.
Descriptive Note : Technical rept.,
Corporate Author : STANFORD UNIV CA DEPT OF STATISTICS
Personal Author(s) : Knowles, Mark ; Siegmund, David
PDF Url : ADA191189
Report Date : Jan 1988
Pagination or Media Count : 25
Abstract : The method suggested by Hotelling (1939) to test for a nonlinear parameter in a regression model is reviewed. Using the method of Weyl (1939), we derive a simple expression for the volume of a tube about a two dimensional manifold with boundary embedded in the unit sphere in I delta R sub n. Applications to testing for a single harmonic of undetermined frequency and phase and to testing for a changepoint in linear regression are discussed. Keywords: Differential geometry.
Descriptors : *REGRESSION ANALYSIS, *STATISTICAL TESTS, *NONLINEAR ANALYSIS, DIFFERENTIAL GEOMETRY, LINEAR REGRESSION ANALYSIS, MATHEMATICAL MODELS, NONLINEAR SYSTEMS, SPHERES, TEST AND EVALUATION, TEST METHODS, TWO DIMENSIONAL, PARAMETERS
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE