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Identification of influential cells in the analysis of ordinal square tables
Author(s) -
Poon WaiYin,
Ng SauChun
Publication year - 2002
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1348/000711002760554561
Subject(s) - categorical variable , ordinal data , ordinal regression , contingency table , identification (biology) , mathematics , continuous variable , square (algebra) , statistics , estimation , computer science , data mining , econometrics , botany , geometry , management , economics , biology
For square tables arising from ordinal categorical variables which can be considered as manifestations of underlying continuous variables, it is possible to model the underlying continuous variables in a form that facilitates the comparison of their relative locations and dispersions. An efficient estimation method for such a model is available in the literature and the object of this paper is to develop an influence analysis procedure to accompany the estimation method. The local influence approach is used to obtain the diagnostic measures, and real data sets are analysed to illustrate the practicability of the proposed measures.