Hierarchical subspace models for contingency tables

Hisayuki Hara, Tomonari Sei, A. Takemura Akimichi

研究成果: Article査読

3 被引用数 (Scopus)

抄録

For the statistical analysis of multiway contingency tables, we propose modeling interaction terms in each maximal compact component of a hierarchical model. By this approach we can search for parsimonious models with smaller degrees of freedom than the usual hierarchical model, while preserving the localization property of the inference in the hierarchical model. This approach also enables us to evaluate the localization property of a given log-affine model. We discuss estimation and exact tests of the proposed model and illustrate the advantage of the proposed modeling with some data sets.

本文言語English
ページ(範囲)19-34
ページ数16
ジャーナルJournal of Multivariate Analysis
103
1
DOI
出版ステータスPublished - 2012 1
外部発表はい

ASJC Scopus subject areas

  • 統計学および確率
  • 数値解析
  • 統計学、確率および不確実性

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