A New Family of Parametric Links for Binomial Generalized Linear Models

• Taneichi Nobuhiro

  Department of Mathematics and Computer Science, Graduate School of Science and Engineering, Kagoshima University

• Sekiya Yuri

  Hokkaido University of Education

• Toyama Jun

  The Institute for the Practical Application of Mathematics

Abstract

In a generalized linear model with binary response, the role of a link function is important to find a model that fits data well. Aranda-Ordaz (1981) proposed a family of link functions that includes a logistic link function and a complementary log-log function. In this paper, we propose a new family of models on the basis of a family of link functions by extending the family proposed by Aranda-Ordaz (1981). We also consider tests to determine whether the new model fits data well. Examples of artificial and real data showing that our new model is more appropriate than the Aranda-Ordaz model are presented.

Journal

• JOURNAL OF THE JAPAN STATISTICAL SOCIETY

  JOURNAL OF THE JAPAN STATISTICAL SOCIETY 44 (2), 119-133, 2014

  THE JAPAN STATISTICAL SOCIETY

Keywords

• Binary response
• cumulative distribution function
• generalized linear model
• link function

Details

• CRID: 1390282680262931712
• NII Article ID: 130005149972
• NII Book ID: AA1105098X
• DOI: 10.14490/jjss.44.119
• ISSN: 13486365
• ISSN: 18822754
• NDL BIB ID: 026249970
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I026249970
• Web Site: https://www.jstage.jst.go.jp/article/jjss/44/2/44_119/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed