An R and S-PLUS companion to multivariate analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London
Springer
2005
|
| Series: | Springer texts in statistics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 221 S. graph. Darst. |
| ISBN: | 1852338822 9781852339296 |
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MARC
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Record in the Search Index
| _version_ | 1804133345872838656 |
|---|---|
| adam_text | Contents
Preface
..........................................................
vii
1
Multivariate Data and Multivariate
Analysis
...................... 1
1.1
Introduction
............................................... 1
1.2
Types of Data
.............................................. 1
1.3
Summary Statistics for Multivariate Data
....................... 4
1.3.1
Means
.............................................. 4
1.3.2
Variances
............................................ 5
1.3.3
Covariances
......................................... 5
1.3.4
Correlations
......................................... 6
1.3.5
Distances
........................................... 7
1.4
The Multivariate Normal Distribution
.......................... 9
1.5
The Aims of Multivariate Analysis
............................ 13
1.6
Summary
................................................. 15
2
Looking at Multivariate Data
.................................... 16
2.1
Introduction
............................................... 16
2.2
Scatterplots and Beyond
..................................... 17
2.2.1
The Convex Hull of Bivariate Data
...................... 22
2.2.2
The Chiplot
.......................................... 23
2.2.3
The Bivariate Boxplot
................................. 25
2.3
Estimating Bivariate Densities
................................ 29
2.4
Representing Other Variables on a Scatterplot
................... 32
2.5
The Scatterplot Matrix
...................................... 33
2.6
Three-Dimensional Plots
.................................... 35
2.7
Conditioning Plots and Trellis Graphics
........................ 37
2.8
Summary
................................................. 40
Exercises
...................................................... 40
3
Principal Components Analysis
.................................. 41
3.1
Introduction
............................................... 41
3.2
Algebraic Basics of Principal Components
..................... 42
xi
xii Contents
3.2.1 Rescaling Principal
Components
........................ 45
3.2.2
Choosing the Number of Components
................... 46
3.2.3
Calculating Principal Component Scores
................. 47
3.2.4
Principal Components of Bivariate Data with Correlation
Coefficient
r
......................................... 48
3.3
An Example of Principal Components Analysis: Air Pollution in
U.S. Cities
................................................ 49
3.4
Summary
................................................. 61
Exercises
...................................................... 62
4
Exploratory Factor Analysis
..................................... 65
4.1
Introduction
............................................... 65
4.2
The Factor Analysis Model
.................................. 65
4.2.1
Principal Factor Analysis
.............................. 68
4.2.2
Maximum Likelihood Factor Analysis
................... 69
4.3
Estimating the Numbers of Factors
............................ 69
4.4
A Simple Example of Factor Analysis
......................... 70
4.5
Factor Rotation
............................................ 71
4.6
Estimating Factor Scores
.................................... 76
4.7
Two Examples of Exploratory Factor Analysis
.................. 77
4.7.1
Expectations of Life
.................................. 77
4.7.2
Drug Usage by American College Students
............... 82
4.8
Comparison of Factor Analysis and Principal
Components Analysis
....................................... 85
4.9
Confirmatory Factor Analysis
................................ 88
4.10
Summary
................................................. 88
Exercises
...................................................... 89
5
Multidimensional Scaling and Correspondence Analysis
............ 91
5.1
Introduction
............................................... 91
5.2
Multidimensional Scaling (MDS)
............................. 93
5.2.1
Examples of Classical Multidimensional Scaling
.......... 96
5.3
Correspondence Analysis
.................................... 104
5.3.1
Smoking and Motherhood
............................. 109
5.3.2
Hodgkin s Disease
....................................
Ill
5.4
Summary
................................................. 112
Exercises
...................................................... 112
6
Cluster Analysis
................................................ 115
6.1
Introduction
............................................... 115
6.2
Agglomerative Hierarchical Clustering
......................... 115
6.2.1
Measuring
Intercluster
Dissimilarity
..................... 118
6.3
ÄT
-Means Clustering
........................................ 122
6.4
Model-Based Clustering
..................................... 128
6.5
Summary
................................................. 134
Exercises
...................................................... 135
Contents xiii
7
Grouped Multivariate Data: Multivariate Analysis of Variance and
Discriminant Function Analysis
.................................. 137
7.1
Introduction
............................................... 137
7.2
Two Groups: Hotellings T2 Test and Fisher s Linear Discriminant
Function Analysis
.......................................... 137
7.2.1
Hotellings T2 Test
.................................... 137
7.2.2
Fisher s Linear Discriminant Function
................... 142
7.2.3
Assessing the Performance of a Discriminant Function
..... 146
7.3
More Than Two Groups: Multivariate Analysis of Variance
(MÁNOVA)
and Classification Functions
...................... 147
7.3.1
Multivariate Analysis of Variance
....................... 147
7.3.2
Classification Functions and Canonical
Variâtes
........... 149
7.4
Summary
................................................. 155
Exercises
...................................................... 156
8
Multiple Regression and Canonical Correlation
.................... 157
8.1
Introduction
............................................... 157
8.2
Multiple Regression
........................................ 157
8.3
Canonical Correlations
...................................... 160
8.4
Summary
................................................. 167
Exercises
...................................................... 167
9
Analysis of Repeated Measures Data
.............................. 171
9.1
Introduction
............................................... 171
9.2
Linear Mixed Effects Models for Repeated Measures Data
........ 174
9.3
Dropouts in Longitudinal Data
............................... 190
9.4
Summary
................................................. 198
Exercises
...................................................... 198
Appendix: An Aide Memoir for
R
and S-PLUS®
..................... 200
1.
Elementary commands
...................................... 200
2.
Vectors
................................................... 201
3.
Matrices
.................................................. 204
4.
Logical Expressions
........................................ 205
5.
List Objects
............................................... 207
6.
Data Frames
............................................... 209
References
....................................................... 211
Index
........................................................... 217
|
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| id | DE-604.BV019836941 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:07:15Z |
| institution | BVB |
| isbn | 1852338822 9781852339296 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013161913 |
| oclc_num | 249629654 |
| open_access_boolean | |
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| physical | XIII, 221 S. graph. Darst. |
| publishDate | 2005 |
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| publisher | Springer |
| record_format | marc |
| series2 | Springer texts in statistics |
| spelling | Everitt, Brian 1944- Verfasser (DE-588)121459411 aut An R and S-PLUS companion to multivariate analysis Brian S. Everitt London Springer 2005 XIII, 221 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer texts in statistics S-Plus Analyse multivariée Analyse multivariée rasuqam Multivariate analyse gtt R (Langage de programmation) R (Langage de programmation) rasuqam R (computerprogramma) gtt S-Plus gtt Multivariate analysis R (Computer program language) R Programm (DE-588)4705956-4 gnd rswk-swf S-PLUS (DE-588)4321162-8 gnd rswk-swf Multivariate Daten (DE-588)4195680-1 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 s S-PLUS (DE-588)4321162-8 s R Programm (DE-588)4705956-4 s DE-604 Multivariate Daten (DE-588)4195680-1 s 1\p DE-604 Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013161913&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 |
| spellingShingle | Everitt, Brian 1944- An R and S-PLUS companion to multivariate analysis S-Plus Analyse multivariée Analyse multivariée rasuqam Multivariate analyse gtt R (Langage de programmation) R (Langage de programmation) rasuqam R (computerprogramma) gtt S-Plus gtt Multivariate analysis R (Computer program language) R Programm (DE-588)4705956-4 gnd S-PLUS (DE-588)4321162-8 gnd Multivariate Daten (DE-588)4195680-1 gnd Multivariate Analyse (DE-588)4040708-1 gnd |
| subject_GND | (DE-588)4705956-4 (DE-588)4321162-8 (DE-588)4195680-1 (DE-588)4040708-1 |
| title | An R and S-PLUS companion to multivariate analysis |
| title_auth | An R and S-PLUS companion to multivariate analysis |
| title_exact_search | An R and S-PLUS companion to multivariate analysis |
| title_full | An R and S-PLUS companion to multivariate analysis Brian S. Everitt |
| title_fullStr | An R and S-PLUS companion to multivariate analysis Brian S. Everitt |
| title_full_unstemmed | An R and S-PLUS companion to multivariate analysis Brian S. Everitt |
| title_short | An R and S-PLUS companion to multivariate analysis |
| title_sort | an r and s plus companion to multivariate analysis |
| topic | S-Plus Analyse multivariée Analyse multivariée rasuqam Multivariate analyse gtt R (Langage de programmation) R (Langage de programmation) rasuqam R (computerprogramma) gtt S-Plus gtt Multivariate analysis R (Computer program language) R Programm (DE-588)4705956-4 gnd S-PLUS (DE-588)4321162-8 gnd Multivariate Daten (DE-588)4195680-1 gnd Multivariate Analyse (DE-588)4040708-1 gnd |
| topic_facet | S-Plus Analyse multivariée Multivariate analyse R (Langage de programmation) R (computerprogramma) Multivariate analysis R (Computer program language) R Programm S-PLUS Multivariate Daten Multivariate Analyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013161913&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT everittbrian anrandspluscompaniontomultivariateanalysis |