Applied multivariate data analysis:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Arnold [u.a.]
2001
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 342 S. graph. Darst. |
| ISBN: | 9780470711170 0340741228 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
1 Multivariate
data and multivariate statistics
1
1.1
Introduction
1
1.2
Types of data
2
1.3
Basic multivariate statistics
4
1.4
The aims of multivariate analysis
6
2
Exploring multivariate data graphically
9
2.1
Introduction
9
2.2
The scatterplot
9
2.3
The scatterplot matrix
15
2.4
Enhancing the scatterplot
17
2.5
Coplots and trellis graphics
26
2.6
Checking distributional assumptions using probability plots
41
2.7
Summary
45
Exercises
45
3
Principal components analysis
48
3.1
Introduction
48
3.2
Algebraic basics of principal components
49
3.3
Rescaling principal components
52
3.4
Calculating principal component scores
53
3.5
Choosing the number of components
53
3.6
Two simple examples of principal components analysis
54
3.7
More complex examples of the application of principal
components analysis
56
3.8
Using principal components analysis to select a subset of
variables
63
3.9
Using the last few principal components
65
3.10
Thebiplot
65
3.11
Geometrical interpretation of principal components analysis
69
3.12
Projection pursuit
69
vi
Contents
3.13
Summary
71
Exercises
71
4
Correspondence analysis
74
4.1
Introduction
74
4.2
A simple example of correspondence analysis
75
4.3
Correspondence analysis for two-dimensional contingency
tables
78
4.4
Three applications of correspondence analysis
80
4.5
Multiple correspondence analysis
84
4.6
Summary
91
Exercises
91
5
Multidimensional scaling
93
5.1
Introduction
93
5.2
Proximity matrices and examples of multidimensional scaling
94
5.4
Metric least-squares multidimensional scaling
104
5.5
Non-metric multidimensional scaling
107
5.6
Non-Euclidean metrics
113
5.7
Three-way multidimensional scaling
114
5.8
Inference in multidimensional scaling
119
5.9
Summary
122
Exercises
122
6
Cluster analysis
125
6.1
Introduction
125
6.2
Agglomerative hierarchical clustering techniques
128
6.3
Optimization methods
142
6.4
Finite mixture models for cluster analysis
148
6.5
Summary
158
Exercises
158
7
The generalized linear model
161
7.1
Linear models
161
7.2
Non-linear models
165
7.3
Link functions and error distributions in the generalized
linear model
168
7.4
Summary
171
Exercises
172
8
Regression and the analysis of variance
173
8.1
Introduction
173
8.2
Least-squares estimation for regression and analysis of
variance models
173
8.3
Direct and indirect effects
190
8.4
Summary
195
Exercises
195
9
Log-linear and logistic models for categorical multivariate data
198
9.1
Introduction
198
Contents
vii
9.2 Maximum
likelihood estimation for log-linear and
linear-logistic models
199
9.3
Transition models for repeated binary response measures
212
9.4
Summary
216
Exercises
216
10
Models for multivariate response variables
218
10.1
Introduction
218
10.2
Repeated quantitative measures
218
10.3
Multivariate tests
222
10.4
Random effects models for longitudinal data
224
10.5
Logistic models for multivariate binary responses
237
10.6
Marginal models for repeated binary response measures
240
10.7
Marginal modelling using generalized estimating equations
242
10.8
Random effects models for multivariate repeated binary
response measures
244
10.9
Summary
246
Exercises
246
11
Discrimination, classification and pattern recognition
248
1
.1
Introduction
248
1.2
A simple example
249
1.3
Some examples of allocation rules
250
1.4
Fisher s linear discriminant function
253
11.5
Assessing the performance of a discriminant function
254
.6
Quadratic discriminant functions
255
.7
More than two groups
257
.8
Logistic discrimination
260
.9
Selecting variables
262
.10
Other methods for deriving classification rules
263
. 11
Pattern recognition and neural networks
264
.12
Summary
268
Exercises
268
12
Exploratory factor analysis
271
12.1
Introduction
271
12.2
The basic factor analysis model
272
12.3
Estimating the parameters in the factor analysis model
274
12.4
Rotation of factors
278
12.5
Some examples of the application of factor analysis
280
12.6
Estimating factor scores
283
12.7
Factor analysis with categorical variables
284
12.8
Factor analysis and principal components analysis
compared
287
12.9
Summary
287
Exercises
288
13
Confirmatory factor analysis and covariance structure models
291
13.1
Introduction
291
13.2
Path analysis and path diagrams
292
viii Contents
13.3
Estimation
of
the parameters in
structural
equation models
295
13.4
A simple covariance structure model and identification
295
13.5
Assessing the fit of a model
297
13.6
Some examples of fitting confirmatory factor analysis models
298
13.7
Structural equation models
302
13.8
Causal models and latent variables: myths and realities
304
13.9
Summary
306
Exercises
306
Appendices
A Software packages
308
A.
1
General-purpose packages
308
A.2 More specialized packages
309
В
Missing values
311
С
Answers to selected exercises
314
References
324
Index
337
|
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| dewey-raw | 519.535 |
| dewey-search | 519.535 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 2. ed. |
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| isbn | 9780470711170 0340741228 |
| language | English |
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| spelling | Everitt, Brian 1944- Verfasser (DE-588)121459411 aut Applied multivariate data analysis Brian S. Everitt and Graham Dunn 2. ed. London [u.a.] Arnold [u.a.] 2001 X, 342 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Datenanalyse (DE-588)4123037-1 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Datenauswertung (DE-588)4131193-0 gnd rswk-swf Sozialwissenschaften (DE-588)4055916-6 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 s DE-604 Datenauswertung (DE-588)4131193-0 s Sozialwissenschaften (DE-588)4055916-6 s 1\p DE-604 Datenanalyse (DE-588)4123037-1 s 2\p DE-604 Dunn, Graham 1949- Verfasser (DE-588)133250911 aut Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017424305&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 | Everitt, Brian 1944- Dunn, Graham 1949- Applied multivariate data analysis Datenanalyse (DE-588)4123037-1 gnd Multivariate Analyse (DE-588)4040708-1 gnd Datenauswertung (DE-588)4131193-0 gnd Sozialwissenschaften (DE-588)4055916-6 gnd |
| subject_GND | (DE-588)4123037-1 (DE-588)4040708-1 (DE-588)4131193-0 (DE-588)4055916-6 |
| title | Applied multivariate data analysis |
| title_auth | Applied multivariate data analysis |
| title_exact_search | Applied multivariate data analysis |
| title_full | Applied multivariate data analysis Brian S. Everitt and Graham Dunn |
| title_fullStr | Applied multivariate data analysis Brian S. Everitt and Graham Dunn |
| title_full_unstemmed | Applied multivariate data analysis Brian S. Everitt and Graham Dunn |
| title_short | Applied multivariate data analysis |
| title_sort | applied multivariate data analysis |
| topic | Datenanalyse (DE-588)4123037-1 gnd Multivariate Analyse (DE-588)4040708-1 gnd Datenauswertung (DE-588)4131193-0 gnd Sozialwissenschaften (DE-588)4055916-6 gnd |
| topic_facet | Datenanalyse Multivariate Analyse Datenauswertung Sozialwissenschaften |
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