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The comparison of transient responses to stimuli

Published online by Cambridge University Press:  14 July 2016

Murray A. Cameron
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Abstract

In some experiments an ‘observation' is a time series and the ‘treatments' are stimuli which elicit changes in the nature of the time series for only a short period. One approach to analysing data from such experiments is presented here. Tests are given for detecting responses in such experiments, and for comparing responses elicited under different treatment regimes. The tests are based on frequency-domain estimates of the prediction variance for stationary time series. If several stimuli are applied within each observed time series at regular intervals, then the method of analysis may be designed so that the estimates of the different responses are orthogonal and most of the calculations can be performed using standard analysis of variance programs.

Keywords

ANALYSIS OF POWERFOURIER METHODSTIME SERIESTRANSIENTS
Type
Part 3—Hypothesis Testing and Distribution Theory for Time Series
Information
Journal of Applied Probability , Volume 23 , Issue A: Essays in Time Series and Allied Processes , 1986 , pp. 159 - 172
Copyright
Copyright © 1986 Applied Probability Trust 

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