JaLCDOI 10.18926/fest/19712
タイトル(別表記) Assessment of Local Influence in Statistical Modelling with Equality Constraints
フルテキストURL 004_019_035.pdf
著者 張 方紅| 森 裕一| 田中 豊|
抄録(別表記) Influence analysis in the sense of Cook (1986)'s local influence is derived for statistical modelling with equality constraints. It is a supplement to Tanaka and Zhang (1998) and its formulation is an extension of that of Kwan and Fung (1998) so that it can deal with the influence on an arbitrary subset of parameters. As a special case the influence in principal component analysis is discussed and a numerical example is shown. The numerical results are compared with those by Zhang et al. (1998), in which local influence is evaluated by using the perturbation theory of eigenvalue problems, and the relationship is discussed with the influence functions derived by Tanaka and Watadani (1992).
キーワード Cook's local influence equality constraints principal component analysis subsets of parameters
出版物タイトル 岡山大学環境理工学部研究報告
発行日 1999-02-26
4巻
1号
開始ページ 19
終了ページ 35
ISSN 1341-9099
言語 Japanese
論文のバージョン publisher
NAID 120002309028
JaLCDOI 10.18926/fest/11489
タイトル(別表記) Considering variable selection criteria in correspondence analysis
フルテキストURL 010_049_056.pdf
著者 森 裕一| 杜 暁東| 飯塚 誠也|
抄録 Ordinary goodness of fit criteria in correspondence analysis are considered as variable selection criteria in case correspondence analysis which is one of multivariate methods without external variables can be applied. The goodness of fit criteria focused here are proportion of cumulative eigenvalues, proportion of cumulative squared-eigenvalues and proportion of cumulative off-diagonal fitness. Each criterion is applied to a couple of real data sets and evaluated with interpretation of the selection process and result (selected subset of variables). Four selection procedures such as backward elimination and forward-backward selection are also performed to compare with each other as well as with all possible selection procedure. These results illustrate that the criteria can be used as selection criteria to select a subset of variables in correspondence analysis and to assess categorical items (questions) in a survey (questionnaire).
出版物タイトル 岡山大学環境理工学部研究報告
発行日 2005-02-28
10巻
1号
開始ページ 49
終了ページ 56
ISSN 1341-9099
言語 Japanese
論文のバージョン publisher
NAID 120002313834
JaLCDOI 10.18926/fest/11429
タイトル(別表記) Variable selection besed on global score estimation and its numerical investigation
フルテキストURL 012_029_040.pdf
著者 森 裕一| 笛田 薫| 飯塚 誠也|
抄録 A variable selection method using global score estimation is proposed, which is applicable as a selection criterion in any multivariate method without external variables such as principal component analysis. This method selects a reasonable subset of variables so that the global scores, e.g. principal component scores, which are computed based on the selected variables, approximate the original global scores as well as possible in the context of the least squares. Three computational steps are proposed to estimate the scores according to how to satisfy the restriction that the estimated global scores are mutually uncorrelated. Three different examples are analyzed to demonstrate the performance and usefulness of the proposed method numerically, in which three steps are evaluated and the results obtained using four cost-saving selection procedures are compared.
キーワード principal components least square orthogonalization cost-saving selection
出版物タイトル 岡山大学環境理工学部研究報告
発行日 2007-03-15
12巻
1号
開始ページ 29
終了ページ 40
ISSN 1341-9099
言語 Japanese
論文のバージョン publisher
NAID 120002313992
著者 森 裕一|
発行日 1995-03-25
出版物タイトル
資料タイプ 学位論文