A bivariate index vector for measuring departure from double symmetry in square contingency tables

Research output: Contribution to journalArticle

Abstract

For square contingency tables, a double symmetry model having a matrix structure that combines both symmetry and point symmetry was proposed. Also, an index which represents the degree of departure from double symmetry was proposed. However, this index cannot simultaneously characterize the degree of departure from symmetry and the degree of departure from point symmetry. For measuring the degree of departure from double symmetry, the present paper proposes a bivariate index vector that can simultaneously characterize the degree of departure from symmetry and the degree of departure from point symmetry.

Original languageEnglish
Pages (from-to)519-529
Number of pages11
JournalAdvances in Data Analysis and Classification
Volume13
Issue number2
DOIs
Publication statusPublished - 1 Jun 2019

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Contingency Table
Symmetry

Keywords

  • Confidence region
  • Double symmetry
  • Index vector
  • Visualization

Cite this

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title = "A bivariate index vector for measuring departure from double symmetry in square contingency tables",
abstract = "For square contingency tables, a double symmetry model having a matrix structure that combines both symmetry and point symmetry was proposed. Also, an index which represents the degree of departure from double symmetry was proposed. However, this index cannot simultaneously characterize the degree of departure from symmetry and the degree of departure from point symmetry. For measuring the degree of departure from double symmetry, the present paper proposes a bivariate index vector that can simultaneously characterize the degree of departure from symmetry and the degree of departure from point symmetry.",
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AB - For square contingency tables, a double symmetry model having a matrix structure that combines both symmetry and point symmetry was proposed. Also, an index which represents the degree of departure from double symmetry was proposed. However, this index cannot simultaneously characterize the degree of departure from symmetry and the degree of departure from point symmetry. For measuring the degree of departure from double symmetry, the present paper proposes a bivariate index vector that can simultaneously characterize the degree of departure from symmetry and the degree of departure from point symmetry.

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KW - Index vector

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