<b>MEASURES OF DEPARTURE FROM ORDINAL </b><b>QUASI-SYMMETRY MODELS FOR SQUARE CONTINGENCY </b><b>TABLES</b>

• Yamamoto Kouji

  Center for Clinical Investigation and Research, Osaka University Hospital

• Ando Shuji

  Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science

• Tomizawa Sadao

  Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science

書誌事項

タイトル別名

• <b>MEASURES OF DEPARTURE FROM ORDINAL </b><b>QUASI-SYMMETRY MODELS FOR SQUARE CONTINGENCY </b><b>TABLES </b>
• MEASURES OF DEPARTURE FROM ORDINAL QUASI-SYMMETRY MODELS FOR SQUARE CONTINGENCY TABLES

抄録

ABSTRACT For square contingency tables with ordered categories, Agresti (2002) considered the ordinal quasi-symmetry (OQS) model and Iki, Tahata and Tomizawa (2009) considered the ridit score type quasi-symmetry (RQS) model. The present paper proposes measures which represent the degree of departure from each of the OQS and RQS mod els. The proposed measures are expressed by using the Cressie-Read power-divergence or Patil-Taillie diversity index. These measures would be useful for comparing the de grees of departure from OQS and RQS in several tables. The measures are applied to the data of individual's education and father's or mother's education in Japan.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｊａｐａｎｅｓｅ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｃｏｍｐｕｔａｔｉｏｎａｌ　Ｓｔａｔｉｓｔｉｃｓ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｊａｐａｎｅｓｅ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｃｏｍｐｕｔａｔｉｏｎａｌ　Ｓｔａｔｉｓｔｉｃｓ 24 (1), 27-38, 2011

  日本計算機統計学会

キーワード

• Kullback-Leibler information
• Measure
• Ordered category
• Power-divergence
• Quasi-symmetry
• Ridit
• Shannon entropy

詳細情報

• CRID: 1390001204414157568
• NII論文ID: 10030497154
• NII書誌ID: AA10823693
• DOI: 10.5183/jjscs.1008001_190
• ISSN: 18811337
• ISSN: 09152350
• NDL書誌ID: 030632924
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I030632924
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可