Multivariate statistical methods a primer
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| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
Chapman and Hall
1994
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 100 | 1 | |a Manly, Bryan F. J. |d 1944- |e Verfasser |0 (DE-588)131634062 |4 aut | |
| 245 | 1 | 0 | |a Multivariate statistical methods |b a primer |c Bryan F. J. Manly |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a London [u.a.] |b Chapman and Hall |c 1994 | |
| 300 | |a XIII, 215 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Analyse multivariée | |
| 650 | 7 | |a Multivariate analyse |2 gtt | |
| 650 | 4 | |a Multivariate Analysis | |
| 650 | 4 | |a Multivariate analysis | |
| 650 | 0 | 7 | |a Multivariate Analyse |0 (DE-588)4040708-1 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
| 689 | 0 | 0 | |a Multivariate Analyse |0 (DE-588)4040708-1 |D s |
| 689 | 0 | |5 DE-604 | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0002/MAT 627f 94 A 4192 0302/MAT 627f 1994 A 8652 |
|---|---|
| DE-BY-TUM_katkey | 646303 |
| DE-BY-TUM_media_number | 040030085160 040000773795 |
| _version_ | 1816711708198043648 |
| adam_text | Contents
Preface xi
1 The material of multivariate analysis 1
1.1 Examples of multivariate data 1
1.2 Preview of multivariate methods 12
1.3 The multivariate normal distribution 15
1.4 Computer programs 16
1.5 Graphical methods 16
References 17
2 Matrix algebra 18
2.1 The need for matrix algebra 18
2.2 Matrices and vectors 18
2.3 Operations on matrices 20
2.4 Matrix inversion 22
2.5 Quadratic forms 23
2.6 Eigenvalues and eigenvectors 23
2.7 Vectors of means and covariance matrices 24
2.8 Further reading 26
References 26
3 Displaying multivariate data 27
3.1 The problem of displaying many variables
in two dimensions 27
3.2 Plotting index variables 27
3.3 The draftsman s display 29
3.4 The symbolic representation of data points 30
3.5 Profiles of variables 32
vii
viii Contents
3.6 Discussion and further reading 35
References 36
4 Tests of significance with multivariate data 37
4.1 Simultaneous tests on several variables 37
4.2 Comparison of mean values for two samples:
single variable case 37
4.3 Comparison of mean values for two samples:
multivariate case 39
4.4 Multivariate versus univariate tests 43
4.5 Comparison of variation for two samples:
single variable case 44
4.6 Comparison of variation for two samples:
multivariate case 44
4.7 Comparisons of means for several samples 49
4.8 Comparison of variation for several samples 51
4.9 Computational methods and computer programs 53
Exercise 53
References 56
5 Measuring and testing multivariate distances 57
5.1 Multivariate distances 57
5.2 Distances between individual observations 57
5.3 Distances between populations and samples 62
5.4 Distances based upon proportions 67
5.5 Presence absence data 68
5.6 The Mantel test 70
5.7 Computational methods and computer programs 73
5.8 Further reading 74
Exercise 74
References 75
6 Principal components analysis 76
6.1 Definition of principal components 76
6.2 Procedure for a principal components analysis 78
6.3 Computational methods and computer programs 88
6.4 Further reading 88
Exercises 88
References 91
Contents ix
7 Factor analysis 93
7.1 The factor analysis model 93
7.2 Procedure for a factor analysis 95
7.3 Principal components factor analysis 97
7.4 Using a factor analysis program to do principal
components analysis 99
7.5 Options in computer programs 104
7.6 The value of factor analysis 105
7.7 Computational methods and computer programs 105
7.8 Further reading 106
Exercise 106
References 106
8 Discriminant function analysis 107
8.1 The problem of separating groups 107
8.2 Discrimination using Mahalanobis distances 108
8.3 Canonical discriminant functions 108
8.4 Tests of significance 110
8.5 Assumptions 112
8.6 Allowing for prior probabilities of group
membership 117
8.7 Stepwise discriminant function analysis 117
8.8 Jackknife classification of individuals 118
8.9 Assigning of ungrouped individuals to groups 118
8.10 Logistic regression 118
8.11 Computational methods and computer programs 125
8.12 Further reading 126
Exercises 126
References 127
9 Cluster analysis 128
9.1 Uses of cluster analysis 128
9.2 Types of cluster analysis 128
9.3 Hierarchic methods 130
9.4 Problems of cluster analysis 132
9.5 Measures of distance 133
9.6 Principal components analysis with cluster
analysis 134
9.7 Computational methods and computer programs 140
x Contents
9.8 Further reading 140
Exercises 144
References 144
10 Canonical correlation analysis 146
10.1 Generalizing a multiple regression analysis 146
10.2 Procedure for a canonical correlation analysis 148
10.3 Tests of significance 149
10.4 Interpreting canonical variates 151
10.5 Computational methods and computer programs 166
10.6 Further reading 166
Exercise 167
References 167
11 Multidimensional scaling 168
11.1 Constructing a map from a distance matrix 168
11.2 Procedure for multidimensional scaling 170
11.3 Computational methods and computer programs 181
11.4 Further reading 181
Exercise 182
References 182
12 Ordination 183
12.1 The ordination problem 183
12.2 Principal components analysis 184
12.3 Principal coordinates analysis 190
12.4 Multidimensional scaling 198
12.5 Correspondence analysis 201
12.6 Comparison of ordination methods 205
12.7 Computational methods and computer programs 206
12.8 Further reading 206
Exercise 206
References 207
13 Epilogue 208
13.1 The next step 208
13.2 Some general reminders 208
13.3 Missing values 209
References 210
Author index 211
Subject index 213
|
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 2. ed. |
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| genre_facet | Einführung |
| id | DE-604.BV010025924 |
| illustrated | Illustrated |
| indexdate | 2024-11-25T17:14:19Z |
| institution | BVB |
| isbn | 0412603004 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006647953 |
| oclc_num | 31314579 |
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| physical | XIII, 215 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Chapman and Hall |
| record_format | marc |
| spellingShingle | Manly, Bryan F. J. 1944- Multivariate statistical methods a primer Analyse multivariée Multivariate analyse gtt Multivariate Analysis Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd |
| subject_GND | (DE-588)4040708-1 (DE-588)4151278-9 |
| title | Multivariate statistical methods a primer |
| title_auth | Multivariate statistical methods a primer |
| title_exact_search | Multivariate statistical methods a primer |
| title_full | Multivariate statistical methods a primer Bryan F. J. Manly |
| title_fullStr | Multivariate statistical methods a primer Bryan F. J. Manly |
| title_full_unstemmed | Multivariate statistical methods a primer Bryan F. J. Manly |
| title_short | Multivariate statistical methods |
| title_sort | multivariate statistical methods a primer |
| title_sub | a primer |
| topic | Analyse multivariée Multivariate analyse gtt Multivariate Analysis Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd |
| topic_facet | Analyse multivariée Multivariate analyse Multivariate Analysis Multivariate analysis Multivariate Analyse Einführung |
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