Table of contents for Computational statistics : an introduction to R / Gùˆnther Sawitzki.


Bibliographic record and links to related information available from the Library of Congress catalog
Note: Electronic data is machine generated. May be incomplete or contain other coding.


Counter
1Basic 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
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 Scheff6'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
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, ..., c                                            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
1.9 Statistical Summary                                              190
R as a Programming Language and Environment                         A-193
A.1 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



Library of Congress subject headings for this publication: R (Computer program language)Mathematical statistics Data processing