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Outliers and Patterns of Outliers in Contingency Tables with Algebraic Statistics
Author(s) -
RAPALLO FABIO
Publication year - 2012
Publication title -
scandinavian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.359
H-Index - 65
eISSN - 1467-9469
pISSN - 0303-6898
DOI - 10.1111/j.1467-9469.2012.00790.x
Subject(s) - outlier , contingency table , mathematics , statistics , goodness of fit , algebraic number , anomaly detection , econometrics , data mining , computer science , mathematical analysis
. In this paper, we provide a definition of pattern of outliers in contingency tables within a model‐based framework. In particular, we make use of log‐linear models and exact goodness‐of‐fit tests to specify the notions of outlier and pattern of outliers. The language and some techniques from Algebraic Statistics are essential tools to make the definition clear and easily applicable. We also analyse several numerical examples to show how to use our definitions.