Correspondence analysis handbook:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York [u.a.]
Dekker
1992
|
Ausgabe: | 1. print. |
Schriftenreihe: | Statistics
125 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XII, 665 S. graph. Darst. |
ISBN: | 0824784375 |
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Datensatz im Suchindex
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adam_text | Titel: Correspondence analysis handbook
Autor: Benzécri, Jean-Paul
Jahr: 1992
CONTENTS
Preface n
Translator s Note vii
PART I
THE THEORY OF
CORRESPONDENCE ANALYSIS i
Summary 1
1. Correspondence Table: Notion of Profile 4
2. Spatial Representation of Sets in Correspondence:
The Clouds N(I) and N(J): Multidimensional
Spaces, Frequency Profiles, and Law of Probability 16
3. Mean and Centre of Gravity: Dispersion and Inertia 28
4. Euclidean Distance: Distributional Distance 44
5. Properties of Inertia in the Plane and in
Three-Dimensional Space 59
6. Inertia in any Dimension: Definition of the
Principal Axes of Inertia 74
7. Properties of the Factors Defined on a Set:
Decomposition of Inertia, Contributions 87
8. Relations Connecting the Factors Defined on the
Two Sets: Transition Formula and Reconstitution
Formula in
9. Vector Geometry and Affine Geometry 131
10. Euclidean Geometry 172
11. Algebraic Definition of the Principal Axes of Inertia 201
12. Proof of the Properties of the Factors in
Correspondence Analysis 223
x Contents
PART II
NUMERICAL EXAMPLE OF
CORRESPONDENCE
ANALYSIS EXERCISE
ILLUSTRATING THE THEORY 245
Summary 245
0. The Data 245
1. The Clouds N(I) and N(I0) 248
2. The Cloud N(J) 262
3. Simultaneous Representation of the
Clouds N(I0) and N(J) 273
4. Reconstitution Formula: Interpretation 286
5. Calculation of the Contributions 290
6. Adjoining Supplementary Elements 294
PART III
READING AND
INTERPRETATION OF THE
LISTINGS 309
Summary 309
1. How to Start with an Analysis 311
2. Comments on the Output of the Analysis 317
3. A FORTRAN Program for Correspondence Analysis 355
4. Overview of a Program Library for Data Analysis 372
Contents xi
PART IV
ANALYSIS AND
INTERPRETATION 377
Summary 377
0. Problems and Methods 382
1. Higher Education in Greece: Socioprofessional
Origins of the Students 418
2. Brazil s Imports of Industrial Equipment: Their
Evolution From 1971 to 1975 424
3. Family Budgets 437
4. The Employment of French Verbs According
to Moods, Tense and Person 452
5. The Craniometry of theEquidae 465
6. A Description of Tool Forms 471
7. Analysis of a Survey: The Agrarian Reform in Iran 477
8 . United Nations General Assembly Voting Pattern
in 1967 485
9. The Description of a Plant, with an Application
to the Genus Erodium 494
10. Typology of the Effects of Nitroglycerin IV
According to the Initial State of the Patient 501
11. Television Shows: Coding of Seven Evaluations
According to a Set of Three Underlying Modes 508
12. Table of the Marks Obtained by the Candidates at
the Ecole Polytechnique X : Analysis with Doubling
of the Columns 513
13. Parallelism in Chinese Distichs 522
14. Census of the Student Population in Lebanon 533
15. Estimation of the Palaeotemperatures from the
Ecology of the Foraminifera 539
16. Discrimination Methods Applied to Medical Data
with a Therapeutic Decision 548
xil Contents
PART V
CLUSTER ANALYSIS:
AGGLOMERATIVE HIERARCHICAL
CLUSTERING 5*1
Summary 561
1. Agglomerative Criteria and Tree Structure 563
2. Aid to Interpretation in Agglomerative Hierarchical
Clustering 598
3. Fortran Program Listing for Clustering 636
Index 645
|
adam_txt |
Titel: Correspondence analysis handbook
Autor: Benzécri, Jean-Paul
Jahr: 1992
CONTENTS
Preface n
Translator's Note vii
PART I
THE THEORY OF
CORRESPONDENCE ANALYSIS i
Summary 1
1. Correspondence Table: Notion of Profile 4
2. Spatial Representation of Sets in Correspondence:
The Clouds N(I) and N(J): Multidimensional
Spaces, Frequency Profiles, and Law of Probability 16
3. Mean and Centre of Gravity: Dispersion and Inertia 28
4.' Euclidean Distance: Distributional Distance 44
5. Properties of Inertia in the Plane and in
Three-Dimensional Space 59
6. Inertia in any Dimension: Definition of the
Principal Axes of Inertia 74
7. Properties of the Factors Defined on a Set:
Decomposition of Inertia, Contributions 87
8. Relations Connecting the Factors Defined on the
Two Sets: Transition Formula and Reconstitution
Formula in
9. Vector Geometry and Affine Geometry 131
10. Euclidean Geometry 172
11. Algebraic Definition of the Principal Axes of Inertia 201
12. Proof of the Properties of the Factors in
Correspondence Analysis 223
x Contents
PART II
NUMERICAL EXAMPLE OF
CORRESPONDENCE
ANALYSIS EXERCISE
ILLUSTRATING THE THEORY 245
Summary 245
0. The Data 245
1. The Clouds N(I) and N(I0) 248
2. The Cloud N(J) 262
3. Simultaneous Representation of the
Clouds N(I0) and N(J) 273
4. Reconstitution Formula: Interpretation 286
5. Calculation of the Contributions 290
6. Adjoining Supplementary Elements 294
PART III
READING AND
INTERPRETATION OF THE
LISTINGS 309
Summary 309
1. How to Start with an Analysis 311
2. Comments on the Output of the Analysis 317
3. A FORTRAN Program for Correspondence Analysis 355
4. Overview of a Program Library for Data Analysis 372
Contents xi
PART IV
ANALYSIS AND
INTERPRETATION 377
Summary 377
0. Problems and Methods 382
1. Higher Education in Greece: Socioprofessional
Origins of the Students 418
2. Brazil's Imports of Industrial Equipment: Their
Evolution From 1971 to 1975 424
3. Family Budgets 437
4. The Employment of French Verbs According
to Moods, Tense and Person 452
5. The Craniometry of theEquidae 465
6. A Description of Tool Forms 471
7. Analysis of a Survey: The Agrarian Reform in Iran 477
8 . United Nations General Assembly Voting Pattern
in 1967 485
9. The Description of a Plant, with an Application
to the Genus Erodium 494
10. Typology of the Effects of Nitroglycerin IV
According to the Initial State of the Patient 501
11. Television Shows: Coding of Seven Evaluations
According to a Set of Three Underlying Modes 508
12. Table of the Marks Obtained by the Candidates at
the Ecole Polytechnique "X": Analysis with Doubling
of the Columns 513
13. Parallelism in Chinese Distichs 522
14. Census of the Student Population in Lebanon 533
15. Estimation of the Palaeotemperatures from the
Ecology of the Foraminifera 539
16. Discrimination Methods Applied to Medical Data
with a Therapeutic Decision 548
xil Contents
PART V
CLUSTER ANALYSIS:
AGGLOMERATIVE HIERARCHICAL
CLUSTERING 5*1
Summary 561
1. Agglomerative Criteria and Tree Structure 563
2. Aid to Interpretation in Agglomerative Hierarchical
Clustering 598
3. Fortran Program Listing for Clustering 636
Index 645 |
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spelling | Benzécri, Jean-Paul Verfasser aut Correspondence analysis handbook J.-P. Benzécri 1. print. New York [u.a.] Dekker 1992 XII, 665 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Statistics 125 Analyse des correspondances (Statistique) Análisis factorial Correspondentieanalyse gtt Correspondence analysis (Statistics) Korrespondenzanalyse (DE-588)4237563-0 gnd rswk-swf Algebraische Korrespondenz (DE-588)4202052-9 gnd rswk-swf Abbildung Mathematik (DE-588)4000044-8 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Abbildung Mathematik (DE-588)4000044-8 s DE-604 Algebraische Korrespondenz (DE-588)4202052-9 s Korrespondenzanalyse (DE-588)4237563-0 s 2\p DE-604 Statistics 125 (DE-604)BV000003265 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015371607&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 |
spellingShingle | Benzécri, Jean-Paul Correspondence analysis handbook Statistics Analyse des correspondances (Statistique) Análisis factorial Correspondentieanalyse gtt Correspondence analysis (Statistics) Korrespondenzanalyse (DE-588)4237563-0 gnd Algebraische Korrespondenz (DE-588)4202052-9 gnd Abbildung Mathematik (DE-588)4000044-8 gnd |
subject_GND | (DE-588)4237563-0 (DE-588)4202052-9 (DE-588)4000044-8 (DE-588)4151278-9 |
title | Correspondence analysis handbook |
title_auth | Correspondence analysis handbook |
title_exact_search | Correspondence analysis handbook |
title_exact_search_txtP | Correspondence analysis handbook |
title_full | Correspondence analysis handbook J.-P. Benzécri |
title_fullStr | Correspondence analysis handbook J.-P. Benzécri |
title_full_unstemmed | Correspondence analysis handbook J.-P. Benzécri |
title_short | Correspondence analysis handbook |
title_sort | correspondence analysis handbook |
topic | Analyse des correspondances (Statistique) Análisis factorial Correspondentieanalyse gtt Correspondence analysis (Statistics) Korrespondenzanalyse (DE-588)4237563-0 gnd Algebraische Korrespondenz (DE-588)4202052-9 gnd Abbildung Mathematik (DE-588)4000044-8 gnd |
topic_facet | Analyse des correspondances (Statistique) Análisis factorial Correspondentieanalyse Correspondence analysis (Statistics) Korrespondenzanalyse Algebraische Korrespondenz Abbildung Mathematik Einführung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015371607&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000003265 |
work_keys_str_mv | AT benzecrijeanpaul correspondenceanalysishandbook |