Abstract #300367


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JSM 2002 Abstract #300367
Activity Number: 162
Type: Invited
Date/Time: Tuesday, August 13, 2002 : 8:30 AM to 10:20 AM
Sponsor: WNAR
Abstract - #300367
Title: Wavelet Estimation of Deterministic Trend
Author(s): Todd Ogden*+
Affiliation(s): Columbia University
Address: PH18W 622 168th Street, New York, New York, 10032, USA
Keywords: wavelets ; nonparametric regression ; functional data analysis
Abstract:

The model considered here is that each series of observations consists of a deterministic trend component, plus a random "session effect," plus random noise. The primary goals of the analysis are to use data from several sessions to estimate the overall trend component and to model the behavior of the session effects. By first transforming the original data to the wavelet domain, the question of estimating trend can be treated one coefficient at a time as a problem of estimating a mean of several random variables, each of which may include random session effects. Modeling the behavior of random effects is aided by studying the deviations of the wavelet coefficients from their estimated means. The motivating example for this talk consists of data from a psychological study in which the error in judgment of the collinearity of line segments for various angles is recorded.


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Revised March 2002