Prediction and discrimination with partial least squares method 最小2乗法による予測と判別
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著者
書誌事項
- タイトル
-
Prediction and discrimination with partial least squares method
- タイトル別名
-
最小2乗法による予測と判別
- 著者名
-
金, 鉉彬
- 著者別名
-
キム, ヒョンビン
- 学位授与大学
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岡山大学
- 取得学位
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博士 (学術)
- 学位授与番号
-
甲第1507号
- 学位授与年月日
-
1996-03-25
注記・抄録
博士論文
目次
- Contents / p1 (0003.jp2)
- 1. Introduction / p1 (0006.jp2)
- 2. Partial Least Squares(PLS)Method in Regression Analysis / p5 (0010.jp2)
- 2.1 Algorithm of Wold / p6 (0011.jp2)
- 2.2 Algorithm of Martens / p7 (0012.jp2)
- 2.3 Algorithm of Helland / p8 (0013.jp2)
- 3. Sensitivity Analysis in PLS Regression / p10 (0015.jp2)
- 3.1 Influence functions / p11 (0016.jp2)
- 3.2 Derivation of empirical influence function / p12 (0017.jp2)
- 3.3 Influence measures / p15 (0020.jp2)
- 3.4 Numerical example / p15 (0020.jp2)
- 3.5 Discussion / p18 (0023.jp2)
- 4. Comparison between PLS Regression and Principal Components Regression / p20 (0025.jp2)
- 4.1 Principal components regression / p20 (0025.jp2)
- 4.2 Design of simulation study / p21 (0026.jp2)
- 4.3 Result / p22 (0027.jp2)
- 4.4 Discussion / p28 (0033.jp2)
- 5. PLS Linear Discriminant Function / p30 (0035.jp2)
- 5.1 Linear discriminant function / p30 (0035.jp2)
- 5.2 Interpretation of the regression coefficient vector of PLS regression / p31 (0036.jp2)
- 5.3 PLS linear discriminant function / p32 (0037.jp2)
- 5.4 Choice of the number of components / p32 (0037.jp2)
- 5.5 Numerical examples / p34 (0039.jp2)
- 5.6 Discussion / p36 (0041.jp2)
- 6. Evaluation of PLS Linear Discriminant Function by Simulation Study / p38 (0043.jp2)
- 6.1 Design of simulation study / p38 (0043.jp2)
- 6.2 Comparison between PLS linear discriminant function and ordinary linear discriminant function / p39 (0044.jp2)
- 6.3 Comparison between two models for PLS linear discriminant function / p39 (0044.jp2)
- 6.4 Discussion / p41 (0046.jp2)
- 7. Application of PLS Linear Discriminant Function to Pattern Recognition Analysis / p44 (0049.jp2)
- 7.1 Writer identification / p44 (0049.jp2)
- 7.2 Arc pattern extraction / p45 (0050.jp2)
- 7.3 Applying PLS linear discriminant function / p48 (0053.jp2)
- 7.4 Discussion / p52 (0057.jp2)
- 8. Method of Generating Artificial Data with Preassigned Degree of Multicollinearity / p54 (0059.jp2)
- 8.1 Singular value decomposition / p54 (0059.jp2)
- 8.2 Proposed method for generating artificial data / p54 (0059.jp2)
- 8.3 Transformation of variables / p56 (0061.jp2)
- 8.4 Numerical examples / p58 (0063.jp2)
- 8.5 Discussion / p61 (0066.jp2)
- 9. Conclusion / p63 (0068.jp2)
- Appendix A / p65 (0070.jp2)
- Appendix B / p66 (0071.jp2)
- References / p72 (0077.jp2)
- Acknowledgement / p77 (0082.jp2)