Goodness of Fit Measures and Model Selection in a Fuzzy Least Squares Regression Analysis
Abstract
Market researches and opinion polls usually include customers’ responses as verbal labels of sets with vague and uncertain borders. Recently we generalized the estimation procedure of a simple regression model with triangular fuzzy numbers, into the space of which Diamond introduced a metrics, to the case of a multivariate model with an asymmetric intercept also fuzzy. In this paper we show under what conditions the sum of squares of the de-pendent variable can be decomposed in exactly the same way as the classical OLS estimation and we propose a fuzzy version of the coefficient of determination, which takes into account the corresponding freedom degrees. Furthermore we introduce a stepwise procedure designed not only to include only one inde-pendent variable at a time, but also to eliminate in each iteration that variable whose explanatory contribution is subrogated by the combination of the other ones included after it was.
Autore Pugliese
Tutti gli autori
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CAMPOBASSO F.
Titolo volume/Rivista
Non Disponibile
Anno di pubblicazione
2013
ISSN
1860-949X
ISBN
978-3-642-35637-7
Numero di citazioni Wos
2
Ultimo Aggiornamento Citazioni
Non Disponibile
Numero di citazioni Scopus
2
Ultimo Aggiornamento Citazioni
Non Disponibile
Settori ERC
Non Disponibile
Codici ASJC
Non Disponibile
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