A new measure for evaluating the strengthness of the asso- ciation between a nominal variable and an ordered categorical response variable is introduced. The introduction of a new measure is justified by analysing the characteristics of a measure of nominal-ordinal association proposed by Agresti (1981), especially with respect to the problem of the "choice" of a predictive variable. The sample-based version of the index is studied, and its asymptotic standard error and asymptotic distribution are derived. Simulations are considered to evaluate the adequacy of the asymptotic approximation determined, following Goodman and Kruskal (1963).

A new measure of nominal-ordinal association

Piccarreta, R
2001

Abstract

A new measure for evaluating the strengthness of the asso- ciation between a nominal variable and an ordered categorical response variable is introduced. The introduction of a new measure is justified by analysing the characteristics of a measure of nominal-ordinal association proposed by Agresti (1981), especially with respect to the problem of the "choice" of a predictive variable. The sample-based version of the index is studied, and its asymptotic standard error and asymptotic distribution are derived. Simulations are considered to evaluate the adequacy of the asymptotic approximation determined, following Goodman and Kruskal (1963).
2001
Piccarreta, R
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11565/51542
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