A new measure of nominal-ordinal association

A new measure of nominal-ordinal association
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DOI:
10.1080/02664760120011635
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发表时间:
2001-01-01
影响因子:
1.5
通讯作者:
Piccarreta, R
Piccarreta, R
中科院分区:
数学4区
文献类型:
--
作者:
Piccarreta, R

文献摘要

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本文提出了一种新的评价名义型变量与有序分类响应变量之间关联强度的测度。引入一个新的措施是合理的,通过分析的一个措施的名词,序数协会提出的Albersti(1981年),特别是关于一个预测变量的“选择”的问题的特点。基于样本的版本的指数进行了研究,其渐近标准误差和渐近分布。根据Goodman & Kruskal(1963),模拟被认为是评估所确定的渐近近似的充分性。
A new measure for evaluating the strength of the association 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 the 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 & Kruskal (1963).