A MODEL SELECTION APPROACH TO THE TWO-PHASE REGRESSION ESTIMATION AND THE HUMAN SENSITIVITY ANALYSIS IN URBAN ECOSYSTEM

From a model selection viewpoint, we propose a new approach to the estimation of two-phase weighted regression functions, setting those models that the change-over points of two-phase regression curves are contained in some divided intervals. The asymptotic distribution of the minimum AIC estimator...

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Bibliographic Details
Published inBehaviormetrika Vol. 10; no. 13; pp. 1 - 18
Main Authors Itoh, Masashi, Noda, Kazuo, Shinada, Yutaka, Tachibana, Naomi
Format Journal Article
LanguageEnglish
Published The Behaviormetric Society 1983
Subjects
human sensitivity
model selection methodological approach
model setting
two-phase regression
urban ecosystem
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Summary:From a model selection viewpoint, we propose a new approach to the estimation of two-phase weighted regression functions, setting those models that the change-over points of two-phase regression curves are contained in some divided intervals. The asymptotic distribution of the minimum AIC estimator with respect to the selected model is obtained, when the regression curves in these models are two-phase lines. Further, we apply these two-phase regression models to the analysis of public sensitivities to their environments on the basis of a sample survey data. In this process, we compare the goodness of the selected two-phase regression model with the goodnesses of other regression models, examining if there exists a change-over point.
ISSN:0385-7417
1349-6964
DOI:10.2333/bhmk.10.13_1