Multivariate data analysis in industrial practice
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester u.a.
Research Studies Pr.
1982
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| Schriftenreihe: | Chemometrics research studies series.
3. |
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| 100 | 1 | |a Lewi, Paul J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Multivariate data analysis in industrial practice |
| 264 | 1 | |a Chichester u.a. |b Research Studies Pr. |c 1982 | |
| 300 | |a XI, 244 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Chemometrics research studies series. |v 3. | |
| 650 | 4 | |a Management |x Statistical methods | |
| 650 | 4 | |a Multivariate analysis | |
| 650 | 0 | 7 | |a Multivariate Analyse |0 (DE-588)4040708-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Industriebetrieb |0 (DE-588)4026813-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Multivariate Analyse |0 (DE-588)4040708-1 |D s |
| 689 | 0 | 1 | |a Industriebetrieb |0 (DE-588)4026813-5 |D s |
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| 830 | 0 | |a Chemometrics research studies series. |v 3. |w (DE-604)BV001894740 |9 3. | |
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Datensatz im Suchindex
| _version_ | 1804117776137191424 |
|---|---|
| adam_text | ix
Contents
INTRODUCTION 1
1. DATA TABLE AND DATA SPACE 5
1.1 Data table 5
1.1.1 Objects and measurements 5
1.1.2 Row items and column items 7
1.2. Examples of tables 7
1.2.1 Physico chemical table 9
1.2.2 Financial table 11
1.2.3 Employment table 14
1.3 Transposed data table 14
1.4 Data space 15
1.5 Transposed data space 15
1.6 Algebraic structure and geometrical construction . 19
2. TRANSGENERATION 23
2.1 Transgeneration function 23
2.2 Effect on distribution 23
2.3 Logarithmical function 27
2.4 Asymptotic logarithmical function 29
2.5 Other transgeneration functions 33
2.6 APL section 37
3. CENTERING AND STANDARDIZATION 41
3.1 Column centering 41
3.1.1 Algebraic definition 41
3.1.2 Correction for importance on measurements. 41
3.1.3 Geometrical analogy 43
3.2 Row centering 45
3.2.1 Algebraic definition 45
3.2.2 Correction for size on objects .... 45
X
3.2.3 Geometrical analogy 47
3.3 Global centering 49
3.4 Double centering 49
3.5 Column standardization 51
3.6 Row standardization 53
3.7 Global standardization 53
3.8 APL section 54
4. TRIANGULAR PLOT 57
4.1 Oblique grid lines 57
4.2 Perpendicular grid lines 59
4.3 Trilogplot 65
4.4 Chromaticity diagram 66
4.5 APL section 69
5. INFORMATION AND VARIANCE 73
5.1 Sources of information 73
5.2 Analysis of variance 76
6. PROJECTION OF A DATA STRUCTURE UPON AN AXIS 79
6.1 Geometrical interpretation 79 ;
6.2 Algebraic interpretation 81 |
6.3 Multiple linear regression 83 !
6.4 Regression of atomic weight 86
6.5 Multiple linear discrimination 93
6.6 Discrimination between acidic/basic properties. . 97
6.7 APL section 99
7. PROJECTION OF A DATA STRUCTURE UPON SEVERAL AXES . . .103
7.1 Geometrical interpretation ....... .103
7.2 Algebraic interpretation . .105
7.3 Centering as a projection 108
7.4 Covariance as a projection 110
7.5 APL section and elements of algebra 113
8. DISTANCE, COVARIANCE AND CORRELATION 115
8.1 Distance and covariance 115
8.2 Angular distance and correlation 119
8.3 Covariance and correlation 121
9. DIAGONALIZATION OF THE COVARIANCE MATRIX 127
9.1 Covariance after projection 127
9.2 Factor rotation and factor items 129
10. EXTRACTION OF FACTORS FROM THE COVARIANCE MATRIX . . .137
10.1 Geometrical interpretation 137
10.1.1 Diagonal covariance matrix .137
10.1.2 General covariance matrix 142
XX
10.1.3 Residual covariance matrix 148
10.2 Algebraic interpretation 152
10.2.1 Decomposition of the covariance matrix. .152
10.2.2 Powers of the covariance matrix . . . .153
10.2.3 Decomposition of the data matrix. . . .154
10.3 Joint representations 155
10.3.1 Co factors 158
10.3.2 Co rows and co columns 159
10.4 Powers of a singular covariance matrix ... .161
11. ALGORITHM FOR FACTOR EXTRACTION 163
11.1 Computer algorithms .163
11.2 Hotelling s iterative procedure 164
11.3 Positioning of row and coluran items 166
11.4 Residual variance 176
11.5 Residual and total lengths 179
11.6 Weighted inner products 180
11.7 Missing data 183
11.8 Datascope program package 186
11.9 APL section 187
12. SPECTRAL MAPS 189
12.1 Financial results of industrial companies . .189
12.2 Employment by country and industrial sector. . .215
12.3 Drug prescriptions for diagnostic indications .219
12.4 Pharmacological effects of neuroleptic drugs . .225
APPENDIX 233
LIST OF SYMBOLS 237
BIBLIOGRAPHY 239
INDEX 243
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/35 |
| dewey-search | 519.5/35 |
| dewey-sort | 3519.5 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
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| id | DE-604.BV003427739 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:59:46Z |
| institution | BVB |
| isbn | 0471104663 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002169226 |
| oclc_num | 8389756 |
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| owner_facet | DE-384 DE-739 DE-19 DE-BY-UBM DE-706 DE-83 |
| physical | XI, 244 S. graph. Darst. |
| psigel | TUB-nveb |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Research Studies Pr. |
| record_format | marc |
| series | Chemometrics research studies series. |
| series2 | Chemometrics research studies series. |
| spelling | Lewi, Paul J. Verfasser aut Multivariate data analysis in industrial practice Chichester u.a. Research Studies Pr. 1982 XI, 244 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Chemometrics research studies series. 3. Management Statistical methods Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Industriebetrieb (DE-588)4026813-5 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 s Industriebetrieb (DE-588)4026813-5 s DE-604 Chemometrics research studies series. 3. (DE-604)BV001894740 3. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002169226&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lewi, Paul J. Multivariate data analysis in industrial practice Chemometrics research studies series. Management Statistical methods Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd Industriebetrieb (DE-588)4026813-5 gnd |
| subject_GND | (DE-588)4040708-1 (DE-588)4026813-5 |
| title | Multivariate data analysis in industrial practice |
| title_auth | Multivariate data analysis in industrial practice |
| title_exact_search | Multivariate data analysis in industrial practice |
| title_full | Multivariate data analysis in industrial practice |
| title_fullStr | Multivariate data analysis in industrial practice |
| title_full_unstemmed | Multivariate data analysis in industrial practice |
| title_short | Multivariate data analysis in industrial practice |
| title_sort | multivariate data analysis in industrial practice |
| topic | Management Statistical methods Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd Industriebetrieb (DE-588)4026813-5 gnd |
| topic_facet | Management Statistical methods Multivariate analysis Multivariate Analyse Industriebetrieb |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002169226&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001894740 |
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