Multivariate statistical methods: a primer
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
Chapman & Hall/CRC
2005
|
| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 214 S. Ill., graph. Darst. |
| ISBN: | 1584884142 |
Staff View
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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 3. ed. | ||
| 264 | 1 | |a Boca Raton [u.a.] |b Chapman & Hall/CRC |c 2005 | |
| 300 | |a 214 S. |b Ill., 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 Analyse multivariée |2 ram | |
| 650 | 7 | |a Analyse multivariée |2 rasuqam | |
| 650 | 7 | |a Analyse statistique |2 rasuqam | |
| 650 | 7 | |a Análise multivariada |2 larpcal | |
| 650 | 7 | |a Multivariate analyse |2 gtt | |
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Record in the Search Index
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Contents
Chapter 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 14
1.4 Computer programs 15
1.5 Graphical methods 15
1.6 Chapter summary 16
References 16
Chapter 2 Matrix algebra 17
2.1 The need for matrix algebra 17
2.2 Matrices and vectors 17
2.3 Operations on matrices 19
2.4 Matrix inversion 21
2.5 Quadratic forms 22
2.6 Eigenvalues and eigenvectors 22
2.7 Vectors of means and covariance matrices 23
2.8 Further reading 25
2.9 Chapter summary 25
References 26
Chapter 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 plot 29
3.4 The representation of individual data points 30
3.5 Profiles of variables 32
3.6 Discussion and further reading 33
3.7 Chapter summary 34
References 34
Chapter 4 Tests of significance with multivariate data 35
4.1 Simultaneous tests on several variables 35
4.2 Comparison of mean values for two samples: the single variable
case 35
4.3 Comparison of mean values for two samples: the multivariate
case 37
4.4 Multivariate versus univariate tests 41
4.5 Comparison of variation for two samples: the single variable
case 42
4.6 Comparison of variation for two samples: the multivariate case 42
4.7 Comparison of means for several samples 46
4.8 Comparison of variation for several samples 49
4.9 Computer programs 54
4.10 Chapter summary 54
Exercise 55
References 57
Chapter 5 Measuring and testing multivariate distances 59
5.1 Multivariate distances 59
5.2 Distances between individual observations 59
5.3 Distances between populations and samples 62
5.4 Distances based on proportions 67
5.5 Presence absence data 68
5.6 The Mantel randomization test 69
5.7 Computer programs 72
5.8 Discussion and further reading 72
5.9 Chapter summary 73
Exercise 74
References 74
Chapter 6 Principal components analysis 75
6.1 Definition of principal components 75
6.2 Procedure for a principal components analysis 76
6.3 Computer programs 84
6.4 Further reading 85
6.5 Chapter summary 85
Exercises 87
References 90
Chapter 7 Factor analysis 91
7.1 The factor analysis model 91
7.2 Procedure for a factor analysis 93
7.3 Principal components factor analysis 95
7.4 Using a factor analysis program to do principal components
analysis 97
7.5 Options in analyses 100
7.6 The value of factor analysis 101
7.7 Computer programs 101
7.8 Discussion and further reading 102
7.9 Chapter summary 102
Exercise 103
References 103
Chapter 8 Discriminant function analysis 105
8.1 The problem of separating groups 105
8.2 Discrimination using Mahalanobis distances 105
8.3 Canonical discriminant functions 107
8.4 Tests of significance 108
8.5 Assumptions 109
8.6 Allowing for prior probabilities of group membership 114
8.7 Stepwise discriminant function analysis 114
8.8 Jackknife classification of individuals 116
8.9 Assigning of ungrouped individuals to groups 116
8.10 Logistic regression 117
8.11 Computer programs 122
8.12 Discussion and further reading 122
8.13 Chapter summary 123
Exercises 124
References 124
Chapter 9 Cluster analysis 125
9.1 Uses of cluster analysis 125
9.2 Types of cluster analysis 125
9.3 Hierarchic methods 127
9.4 Problems of cluster analysis 129
9.5 Measures of distance 129
9.6 Principal components analysis with cluster analysis 130
9.7 Computer programs 134
9.8 Discussion and further reading 135
9.9 Chapter summary 136
Exercises 137
References 141
Chapter 10 Canonical correlation analysis 143
10.1 Generalizing a multiple regression analysis 143
10.2 Procedure for a canonical correlation analysis 145
10.3 Tests of significance 146
10.4 Interpreting canonical variates 148
10.5 Computer programs 158
10.6 Further reading 158
10.7 Chapter summary 159
Exercise 159
References 161
Chapter 11 Multidimensional scaling 163
11.1 Constructing a map from a distance matrix 163
11.2 Procedure for multidimensional scaling 165
11.3 Computer programs 172
11.4 Further reading 174
11.5 Chapter summary 174
Exercise 175
References 175
Chapter 12 Ordination 177
12.1 The ordination problem 177
12.2 Principal components analysis 178
12.3 Principal coordinates analysis 181
12.4 Multidimensional scaling 189
12.5 Correspondence analysis 191
12.6 Comparison of ordination methods 196
12.7 Computer programs 197
12.8 Further reading 197
12.9 Chapter summary 198
Exercise .198
References 198
Chapter 13 Epilogue 201
13.1 The next step 201
13.2 Some general reminders 201
13.3 Missing values 202
References 203
Appendix Computer packages for multivariate analyses 205
References 207
Author Index 209
Subject Index 211 |
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| edition | 3. ed. |
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| spelling | Manly, Bryan F. J. 1944- Verfasser (DE-588)131634062 aut Multivariate statistical methods a primer Bryan F. J. Manly 3. ed. Boca Raton [u.a.] Chapman & Hall/CRC 2005 214 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Analyse multivariée Analyse multivariée ram Analyse multivariée rasuqam Analyse statistique rasuqam Análise multivariada larpcal Multivariate analyse gtt Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Multivariate Analyse (DE-588)4040708-1 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012892272&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Manly, Bryan F. J. 1944- Multivariate statistical methods a primer Analyse multivariée Analyse multivariée ram Analyse multivariée rasuqam Analyse statistique rasuqam Análise multivariada larpcal Multivariate analyse gtt 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 Analyse multivariée ram Analyse multivariée rasuqam Analyse statistique rasuqam Análise multivariada larpcal Multivariate analyse gtt Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd |
| topic_facet | Analyse multivariée Analyse statistique Análise multivariada Multivariate analyse Multivariate analysis Multivariate Analyse Einführung |
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