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Theory & Methods: A Perturbation Approach to Outlier Detection in Two‐Way Contingency Tables
Author(s) -
Lee Andy H.,
Yick John S.
Publication year - 1999
Publication title -
australian and new zealand journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 1369-1473
DOI - 10.1111/1467-842x.00085
Subject(s) - contingency table , mathematics , outlier , perturbation (astronomy) , contingency , statistics , econometrics , physics , quantum mechanics , linguistics , philosophy
In order to identify outliers in contingency tables, we evaluate the derivatives of the perturbation‐formed surface of the Pearson goodness‐of‐fit statistic. The resulting diagnostics are shown to be less susceptible to masking and swamping problems than residual‐based measures. A Monte Carlo study further confirms the effectiveness of the proposed diagnostics.