Partial Asymmetry Measures for Square Contingency Tables

Autor:	Takuma Ishihara, Kouji Yamamoto, Kouji Tahata, Sadao Tomizawa
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	categorical data Kullback–Leibler information minimum variance nominal category Shannon entropy Mathematics QA1-939
Zdroj:	Symmetry, Vol 14, Iss 9, p 1936 (2022)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym14091936
Popis:	In square contingency table analysis, we consider a partial measure that represents the degree of departure from symmetry for each of several pairs. It may be useful to pool the values of the measure into a single summary measure of partial asymmetry. We show that the estimator of partial measures is asymptotically mutually independent for a large sample size. The present paper proposes a symmetry measure in the class of weighted averages that is different from previous studies. The proposed measure is an approximation of the measure in the class of weighted averages that has the smallest variance.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/d8c606e552b84744aee9f9c8fc8df15b Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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