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- Iwasaki Manabu
- Department of Mathematics and Physics, The National Defense Academy
書誌事項
- タイトル別名
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- Spectral Analysis of Multivariate Binar
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抄録
A generalization of spectral (Fourier) analysis to the analysis of multivariate binary data is shown in this paper. The spectral analysis discussed here involves (1) identifying a group which retains the relevant statistical problem unchanged, (2) finding mutually orthogonal subspaces which are invariant under the action of the group, and (3) calculating the orthogonal projections of the data vector onto the invariant subspaces. Groups considered in this paper are Zp2 (p-fold product of the group of integers mod 2) and Sp (the symmetric group on p letters).<br>Group representation theory is extensively used in the development of the procedures, and hence it can be said that the background theory of the analysis is mathematical. However, the principle underlying the analysis is that of exploratory data analysis, and this will be shown in the practical examples in the paper. The present study is closely related to the analysis of variance (ANOVA) of 2p-factorial design, loglinear models for 2p-type contingency table, and the discriminant analysis for multivariate binary data.
収録刊行物
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- 日本統計学会誌
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日本統計学会誌 22 (1), 45-65, 1992
一般社団法人 日本統計学会
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詳細情報 詳細情報について
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- CRID
- 1390001204437267840
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- NII論文ID
- 130003582542
- 40002988373
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- NII書誌ID
- AA1105098X
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- ISSN
- 21891478
- 03895602
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- MRID
- 1186116
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- NDL書誌ID
- 3792109
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可