Computational statistics: an introduction to R
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
CRC Press
2009
|
| Series: | A Chapman & Hall book
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XIV, 251 S. Ill., graph. Darst. |
| ISBN: | 9781420086782 |
Staff View
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| 100 | 1 | |a Sawitzki, Günther |e Verfasser |0 (DE-588)109649141 |4 aut | |
| 245 | 1 | 0 | |a Computational statistics |b an introduction to R |c Günther Sawitzki |
| 264 | 1 | |a Boca Raton [u.a.] |b CRC Press |c 2009 | |
| 300 | |a XIV, 251 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
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Contents
Introduction
v
1
Basic
Data Analysis
1
1.1
R
Programming Conventions
1
1.2
Generation of Random Numbers and Patterns
4
1.2.1
Random Numbers
4
1.2.2
Patterns
9
1.3
Case Study: Distribution Diagnostics
10
1.3.1
Distribution Functions
13
1.3.2
Histograms
17
Barcharts 21
1.3.3
Statistics of Distribution Functions; Kolmogorov-Smirnov Tests
22
Monte Carlo Confidence Bands
23
1.3.4
Statistics of Histograms and Related Plots; x2-Tests
29
1.4
Moments and Quantiles
34
1.5
R
Complements
39
1.5.1
Random Numbers
39
1.5.2
Graphical Comparisons
40
1.5.3
Functions
46
1.5.4
Enhancing Graphical Displays
50
1.5.5
R
Internals
53
parse
53
eval
53
print
54
xii CONTENTS
Executing
Files 54
1.5.6
Packages
54
1.6
Statistical Summary
56
1.7
Literature and Additional References
57
2
Regression
59
2.1
General Regression Model
59
2.2
Linear Model
60
2.2.1
Factors
63
2.2.2
Least Squares Estimation
64
2.2.3
Regression Diagnostics
69
2.2.4
More Examples for Linear Models
75
2.2.5
Model Formulae
76
2.2.6
Gauss-Markov Estimator and Residuals
77
2.3
Variance Decomposition and Analysis of Variance
79
2.4
Simultaneous Inference
85
2.4.1
Scheffé's
Confidence Bands
85
2.4.2
Tukey's Confidence Intervals
87
Case Study:
Titre
Plates
88
2.5
Beyond Linear Regression
96
Transformations
96
2.5.1
Generalised Linear Models
96
2.5.2
Local Regression
97
2.6
R
Complements
101
2.6.1
Discretisation
101
2.6.2
External Data
101
2.6.3
Testing Software
101
2.6.4
R
Data Types
102
2.6.5
Classes and Polymorphic Functions
103
2.6.6
Extractor Functions
104
2.7
Statistical Summary
105
2.8
Literature and Additional References
105
CONTENTS xiii
3
Comparisons
107
3.1
Shift/Scale Families, and Stochastic Order
109
3.2
QQ Plot, PP Plot, and Comparison of Distributions 111
3.2.1
Kolmogorov-Smirnov Tests
116
3.3
Tests for Shift Alternatives
117
3.4
A Road Map
125
3.5
Power and Confidence
126
3.5.1
Theoretical Power and Confidence
126
3.5.2
Simulated Power and Confidence
130
3.5.3
Quantile Estimation
133
3.6
Qualitative Features of Distributions
135
3.7
Statistical Summary
136
3.8
Literature and Additional References
137
4
Dimensions
1, 2, 3, .,
oc
139
4.1
R
Complements
140
4.2
Dimensions
143
4.3
Selections
145
4.4
Projections
145
4.4.1
Marginal Distributions and Scatter Plot Matrices
145
4.4.2
Projection Pursuit
150
4.4.3
Projections for Dimensions
1, 2, 3, . 7 153
4.4.4
Parallel Coordinates
154
4.5
Sections, Conditional Distributions and Coplots
156
4.6
Transformations and Dimension Reduction
162
4.7
Higher Dimensions
167
4.7.1
Linear Case
167
Partial Residuals and Added Variable Plots
168
4.7.2
Non-Linear Case
169
Example: Cusp Non-Linearity
169
4.7.3
Case Study: Melbourne Temperature Data
173
4.7.4
Curse of Dimensionality
174
4.7.5
Case Study: Body Fat
175
4.8
High Dimensions 189
4.9
Statistical Summary
190
xiv CONTENTS
R
as a Programming Language and Environment A-
193
A.I Help and Information A-
193
A.2 Names and Search Paths A-
195
A.3 Administration and Customisation A-196
A.4 Basic Data Types A-197
A.5 Output for Objects A-
199
A.
6
Object Inspection A-200
A.
7
System Inspection A-201
A.
8
Complex Data Types A-202
A.
9
Accessing Components A-204
A.10 Data Manipulation A-206
A.
11
Operators A-208
A.
12
Functions A-209
A.
13
Debugging and Profiling A-211
A.
14
Control Structures A-213
A.
15
Input and Output to Data Streams; External Data A-215
A.
16
Libraries, Packages A-218
A.
17
Mathematical Operators and Functions; Linear Algebra A-220
A.
18
Model Descriptions A-221
A.
19
Graphic Functions A-223
A.19.1 High-Level Graphics A-223
A.
19.2
Low-Level Graphics A-224
A.
19.3
Annotations and Legends A-225
A.
19.4
Graphic Parameters and Layout A-226
A.
20
Elementary Statistical Functions A-227
A.
21
Distributions, Random Numbers, Densities.
.
A-228
A.
22
Computing on the Language A-231
References
233
Functions and Variables by Topic
237
Function and Variable Index
245
Subject Index
249
Statistics
Computational Statistics
An Introduction to
Opens the Door to Statistical Data Analysis Using R.
Suitable for a compact course or self-study, Computational Statistics:
An Introduction to
R
illustrates how to use the freely available
R
software
package for data analysis, statistical programming, and graphics. Integrating
R
code and examples throughout, the text only requires basic knowledge
of statistics and computing.
This introduction covers one-sample analysis and distribution diagnostics,
regression, two-sample problems and comparison of distributions, and
multivariate analysis. It uses a range of examples to demonstrate how
R
can
be employed to tackle statistical problems. In addition, the handy appendix
includes a collection of
R
language elements and functions, serving as a
quick reference and starting point to access the rich information that comes
bundled with R.
Full of examples and exercises, this book helps readers become familiar
with R. It offers the full
R
source code for all examples, selected solutions,
and other ancillary material on http://sintro.r-forge.r-project.org/. |
| any_adam_object | 1 |
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| dewey-full | 519.50285 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.50285 |
| dewey-search | 519.50285 |
| dewey-sort | 3519.50285 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik Wirtschaftswissenschaften |
| format | Book |
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| language | English |
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| spelling | Sawitzki, Günther Verfasser (DE-588)109649141 aut Computational statistics an introduction to R Günther Sawitzki Boca Raton [u.a.] CRC Press 2009 XIV, 251 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier A Chapman & Hall book Datenverarbeitung R (Computer program language) Mathematical statistics Data processing R Programm (DE-588)4705956-4 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf R Programm (DE-588)4705956-4 s Statistik (DE-588)4056995-0 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017084567&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017084567&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Sawitzki, Günther Computational statistics an introduction to R Datenverarbeitung R (Computer program language) Mathematical statistics Data processing R Programm (DE-588)4705956-4 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4705956-4 (DE-588)4056995-0 |
| title | Computational statistics an introduction to R |
| title_auth | Computational statistics an introduction to R |
| title_exact_search | Computational statistics an introduction to R |
| title_full | Computational statistics an introduction to R Günther Sawitzki |
| title_fullStr | Computational statistics an introduction to R Günther Sawitzki |
| title_full_unstemmed | Computational statistics an introduction to R Günther Sawitzki |
| title_short | Computational statistics |
| title_sort | computational statistics an introduction to r |
| title_sub | an introduction to R |
| topic | Datenverarbeitung R (Computer program language) Mathematical statistics Data processing R Programm (DE-588)4705956-4 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Datenverarbeitung R (Computer program language) Mathematical statistics Data processing R Programm Statistik |
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