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High Leverage Points and Outliers in Generalized Linear Models for Ordinal Data

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Pardo Llorente, María del Carmen (2010) High Leverage Points and Outliers in Generalized Linear Models for Ordinal Data. In Advances in Data Analysis. Statistics for Industry and Technology . Birkhauser Boston, Boston, pp. 67-80. ISBN 978-0-8176-4798-8

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Official URL: http://link.springer.com/chapter/10.1007%2F978-0-8176-4799-5_7#


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Abstract

A generalized hat matrix based on Φ-divergences is proposed to determine how much influence or leverage each data value can have on each fitted value to a generalized linear model for ordinal data. After studying for evidence of points where the data value has high leverage on the fitted value, if such influential points are present, we must still determine whether they have had any adverse effects on the fit. To evaluate it we propose a new family of residuals based on Φ-divergences. All the diagnostic measures are illustrated through the analysis of real data.


Item Type:Book Section
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Conference: 12th International Symposium on Applied Stochastic Models and Data Analysis Location: Chania, Greece Date: MAY 29-JUN 01, 2007

Uncontrolled Keywords:Generalized linear models; Ordinal multinomial data; Minimum Φ-divergence estimation; Hat matrix; Leverage; Points outliers
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:17481
Deposited On:18 Dec 2012 09:28
Last Modified:22 Apr 2016 07:43

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