Methods for statistical data analysis of multivariate observations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Wiley
1997
|
| Edition: | 2. ed. |
| Series: | Wiley series in probability and statistics
A Wiley-interscience publication |
| Subjects: | |
| Online Access: | Publisher description Table of Contents Inhaltsverzeichnis |
| Physical Description: | XVI, 353 S. graph. Darst. |
| ISBN: | 0471161195 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Preface to the Second Edition xi
Preface to the First Edition xv
1. Introduction 1
2. Reduction of Dimensionality 5
2.1. General, 5
2.2. Linear Reduction Techniques, 7
2.2.1. Principal Components Analysis, 7
2.2.2. Factor Analysis, 15
2.3. Nonmetric Methods for Nonlinear Reduction
of Dimensionality, 26
2.4. Nonlinear Singularities and Generalized Principal
Components Analysis, 46
2.4.1. Nonlinear Singularities, 46
2.4.2. Generalized Principal Components Analysis, 51
References, 60
3. Development and Study of Multivariate Dependencies 62
3.1. General, 62
3.2. Internal Dependencies, 62
3.3. External Dependencies, 68
References, 80
4. Multidimensional Classification and Clustering 81
4.1. General, 81
4.2. Classification, 82
vii
Viii CONTENTS
4.2.1. Distance Measures, 89
4.2.2. Classification Strategies for Large Numbers
of Groups, 95
4.2.3. Classification in the Presence of Possible
Systematic Changes among Replications, 98
4.3. Clustering, 101
4.3.1. Inputs, 102
4.3.2. Clustering Algorithms, 106
4.3.2a. Hierarchical Clustering Procedures, 110
4.3.2b. Nonhierarchical Clustering Procedures, 121
4.3.3. Outputs, 124
References, 138
5. Assessment of Specific Aspects of Multivariate Statistical Models 139
5.1. General, 139
5.2. Estimation and Tests of Hypotheses, 139
5.2.1. Location and Regression Parameters, 140
5.2.2. Dispersion Parameters, 144
5.2.3. Robust Estimation of Location and Dispersion, 144
5.3. Data Based Transformations, 164
5.4. Assessment of Distributional Properties, 177
5.4.1. Methods for Evaluating Similarity
of Marginal Distributions, 178
5.4.2. Methods for Assessing Normality, 187
5.4.3. Elliptical Distributions, 220
References, 226
6. Summarization and Exposure 227
6.1. General, 227
6.2. Study of an Unstructured Multiresponse Sample, 228
6.3. Comparison of Several Multiresponse Samples, 256
6.3.1. Graphical Internal Comparisons among
Single Degree of Freedom Contrast Vectors, 258
6.3.2. Graphical Internal Comparisons among
Equal Degree of Freedom Groupings, 279
6.4. Multidimensional Residuals and Methods for Detecting
Multivariate Outliers, 292
6.4.1. Analysis of Multidimensional Residuals, 293
6.4.2. Other Methods for Detecting Multivariate Outliers, 305
References, 317
CONTENTS IX
References 319
Appendix Software 332
Author Index 343
Subject Index 347
|
| any_adam_object | 1 |
| author | Gnanadesikan, Ramanathan |
| author_facet | Gnanadesikan, Ramanathan |
| author_role | aut |
| author_sort | Gnanadesikan, Ramanathan |
| author_variant | r g rg |
| building | Verbundindex |
| bvnumber | BV011573670 |
| callnumber-first | Q - Science |
| callnumber-label | QA278 |
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| callnumber-search | QA278.G6 1997 |
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| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.535 519.5/35 20 |
| dewey-search | 519.535 519.5/35 20 |
| dewey-sort | 3519.535 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV011573670 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:12:04Z |
| institution | BVB |
| isbn | 0471161195 |
| language | English |
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| physical | XVI, 353 S. graph. Darst. |
| publishDate | 1997 |
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| publisher | Wiley |
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| series2 | Wiley series in probability and statistics A Wiley-interscience publication |
| spelling | Gnanadesikan, Ramanathan Verfasser aut Methods for statistical data analysis of multivariate observations R. Gnanadesikan 2. ed. New York [u.a.] Wiley 1997 XVI, 353 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and statistics A Wiley-interscience publication Analyse multivariée - Congrès ram Multivariate analyse gtt Multivariate analysis Statistik (DE-588)4056995-0 gnd rswk-swf Datenauswertung (DE-588)4131193-0 gnd rswk-swf Datenanalyse (DE-588)4123037-1 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Statistische Analyse (DE-588)4116599-8 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Statistik (DE-588)4056995-0 s Mathematik (DE-588)4037944-9 s Datenanalyse (DE-588)4123037-1 s 1\p DE-604 Datenauswertung (DE-588)4131193-0 s Multivariate Analyse (DE-588)4040708-1 s 2\p DE-604 Statistische Analyse (DE-588)4116599-8 s 3\p DE-604 http://www.loc.gov/catdir/description/wiley032/96030766.html Publisher description http://www.loc.gov/catdir/toc/onix02/96030766.html Table of Contents HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007793127&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gnanadesikan, Ramanathan Methods for statistical data analysis of multivariate observations Analyse multivariée - Congrès ram Multivariate analyse gtt Multivariate analysis Statistik (DE-588)4056995-0 gnd Datenauswertung (DE-588)4131193-0 gnd Datenanalyse (DE-588)4123037-1 gnd Multivariate Analyse (DE-588)4040708-1 gnd Statistische Analyse (DE-588)4116599-8 gnd Mathematik (DE-588)4037944-9 gnd |
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| title | Methods for statistical data analysis of multivariate observations |
| title_auth | Methods for statistical data analysis of multivariate observations |
| title_exact_search | Methods for statistical data analysis of multivariate observations |
| title_full | Methods for statistical data analysis of multivariate observations R. Gnanadesikan |
| title_fullStr | Methods for statistical data analysis of multivariate observations R. Gnanadesikan |
| title_full_unstemmed | Methods for statistical data analysis of multivariate observations R. Gnanadesikan |
| title_short | Methods for statistical data analysis of multivariate observations |
| title_sort | methods for statistical data analysis of multivariate observations |
| topic | Analyse multivariée - Congrès ram Multivariate analyse gtt Multivariate analysis Statistik (DE-588)4056995-0 gnd Datenauswertung (DE-588)4131193-0 gnd Datenanalyse (DE-588)4123037-1 gnd Multivariate Analyse (DE-588)4040708-1 gnd Statistische Analyse (DE-588)4116599-8 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Analyse multivariée - Congrès Multivariate analyse Multivariate analysis Statistik Datenauswertung Datenanalyse Multivariate Analyse Statistische Analyse Mathematik |
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