Introductory statistics with R:
ANOVA, regression, correlation, lineas models, logistic regression.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2002
|
| Schriftenreihe: | Statistics and computing
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Zusammenfassung: | ANOVA, regression, correlation, lineas models, logistic regression. |
| Beschreibung: | XV, 267 S. graph. Darst. |
| ISBN: | 9780387954752 0387954759 |
Internformat
MARC
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| 100 | 1 | |a Dalgaard, Peter |d 1959- |e Verfasser |0 (DE-588)1229995811 |4 aut | |
| 245 | 1 | 0 | |a Introductory statistics with R |c Peter Dalgaard |
| 264 | 1 | |a New York, NY [u.a.] |b Springer |c 2002 | |
| 300 | |a XV, 267 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Statistics and computing | |
| 520 | 3 | |a ANOVA, regression, correlation, lineas models, logistic regression. | |
| 650 | 4 | |a Statistik - R <Programm> | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Statistik | |
| 650 | 4 | |a Statistics -- Data processing | |
| 650 | 4 | |a R (Computer program language) | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-009865699 | ||
Datensatz im Suchindex
| _version_ | 1804129283056074752 |
|---|---|
| adam_text | Contents
Preface
vii
1 Basics 1
1.1
First
steps
........................... 1
1.1.1
An overgrown calculator
.............. 3
1.1.2
Assignments
..................... 3
1.1.3
Vectorized arithmetic
................ 4
1.1.4
Standard procedures
................ 6
1.1.5
Graphics
....................... 7
1.2
R
language essentials
.................... 10
1.2.1
Expressions and
objecte
............... 10
1.2.2
Functions and arguments
............. 10
1.2.3
Vectors
........................ 12
1.2.4
Missing values
.................... 13
1.2.5
Functions that create vectors
............ 13
1.2.6
Matrices and arrays
................. 14
1.2.7
Factors
........................ 16
1.2.8
Lists
.......................... 17
1.2.9
Data frames
..................... 18
1.2.10
Indexing
....................... 19
1.2.11
Conditional selection
................ 20
1.2.12
Indexing of data frames
.............. 21
1.2.13
subset and transform
............. 22
1.2.14
Grouped data and data frames
.......... 23
xii Contents
1.2.15
Sorting
........................ 24
1.2.16
Implicit loops
.................... 26
1.3
The graphics subsystem
................... 27
1.3.1
Plotlayout
...................... 27
1.3.2
Bunding a plot from pieces
............. 29
1.3.3
Using par
...................... 30
1.3.4
Combining plots
................... 30
1.4
R
programming
....................... 32
1.4.1
How control
..................... 32
1.4.2
Classes and generic functions
........... 34
1.5
Session management
.................... 34
1.5.1
The workspace
.................... 34
1.5.2
Gettinghelp
..................... 36
1.5.3
Packages
....................... 37
1.5.4
Built-in data
..................... 37
1.5.5
attach and detach
.............. 38
1.6
Data entry
........................... 39
1.6.1
Reading from a text file
............... 39
1.6.2
The data editor
................... 42
1.6.3
Interfacing to other programs
........... 43
1.7
Exercises
........................... 44
2
Probability and distributions
45
2.1
Random sampling
...................... 45
2.2
Probability calculations and combinatorics
........ 46
2.3
Discrete distributions
.................... 47
2.4
Continuous distributions
.................. 48
2.5
The built-in distributions in
R
............... 49
2.5.1
Densities
....................... 49
2.5.2
Cumulative distribution functions
........ 52
2.5.3
Quantiles
....................... 53
2.5.4
Random numbers
.................. 54
2.6
Exercises
........................... 55
3
Descriptive statistics and graphics
57
3.1
Summary statistics
f
or a single group
........... 57
3.2
Graphical display of distributions
............. 61
3.2.1
Histograms
...................... 61
3.2.2
Empirical cumulative distribution
........ 63
3.2.3
Q-Qplots
...................... 64
3.2.4
Boxplots
....................... 65
3.3
Summary statistics by groups
............... 65
3.4
Graphics for grouped data
................. 67
3.4.1
Histograms
...................... 67
3.4.2
Parallel boxplots
................... 69
Contents xiii
3.4.3 Stripcharts...................... 70
3.5
Tables.............................
72
3.5.1 Generating
tables
.................. 72
3.5.2
Marginal tables and relative
frequency
...... 74
3.6
Graphical display of
tables
................. 75
3.6.1
Bar plots
....................... 75
3.6.2
Dotcharts
....................... 78
3.6.3
Pie charts
....................... 78
3.7
Exercises
........................... 79
4
One- and two-sample tests
81
4.1
One-sample
t
test
...................... 81
4.2
Wilcoxon signed-rank test
................. 85
4.3
Two-sample
í
test
...................... 86
4.4
Comparison of variances
.................. 89
4.5
Two-sample Wilcoxon test
................. 89
4.6
The paired
ť
test
....................... 90
4.7
The matched-pairs Wilcoxon test
............. 92
4.8
Exercises
-........................... 93
5
Regression and correlation
95
5.1
Simple linear regression
................... 95
5.2
Residuals and fitted values
................. 99
5.3
Prediction and confidence bands
.............. 103
5.4
Correlation
.......................... 106
5.4.1
Pearson correlation
................. 106
5.4.2
Spearman s
p
........
ľ............
109
5.4.3
Kendall s
τ
..................... . . 109
5.5
Exercises
........................... 110
6 ANOVA
and Kruskal-Wallis 111
6.1
One-way analysis of variance
...............
Ill
6.1.1
Pairwise comparisons and multiple testing
. . . 115
6.1.2
Relaxing the variance assumption
......... 117
6.1.3
Graphical presentation
............... 118
6.1.4
Bartlett s test
..................... 120
6.2
Kruskal-Wallis test
..................... 120
6.3
Two-way analysis of variance
............... 121
6.3.1
Graphics for repeated measurements
....... 124
6.4
The Friedman test
...................... 124
6.5
The ANOVA table in regression analysis
......... 126
6.6
Exercises
........................... 127
7
Tabular data
129
7.1
Single proportions
...................... 129
xiv Contents
7.2
Two
independent
proportions
............... 131
7.3
к
proportions, test for trend
................. 133
7.4
r
xc
tables
.......................... 135
7.5
Exercises
........................... 138
8
Power and the computation of sample size
139
8.1
The principles of power calculations
........... 139
8.1.1
The power of one-sample and paired
ŕ
tests
. . . 140
8.1.2
Power of two-sample
t
test
............. 142
8.1.3
Approximate methods
............... 142
8.1.4
Power of comparisons of proportions
....... 143
8.2
Two-sample problems
.................... 143
8.3
One-sample problems and paired tests
.......... 145
8.4
Comparison of proportions
................. 146
8.5
Exercises
........................... 146
9
Multiple regression
149
9.1
Plotting multivariate data
.................. 149
9.2
Model specification and output
.............. 151
9.3
Model search
......................... 154
9.4
Exercises
........................... 157
10
Linear models
159
10.1
Polynomial regression
.................... 160
10.2
Regression through the origin
............... 162
10.3
Design matrices and dummy variables
.......... 164
10.4
Linearity over groups
.................... 166
10.5
Interactions
.......................... 170
10.6
Two-way ANOVA with replication
............ 171
10.7
Analysis of covariance
................... 172
10.7.1
Graphical description
................ 173
10.7.2
Comparison of regression lines
.......... 177
10.8
Diagnostics
.......................... 182
10.9
Exercises
........................... 188
11
Logistic regression
191
11.1
Generalized linear models
................. 192
11.2
Logistic regression on tabular data
............ 193
11.2.1
The analysis of deviance table
........... 197
11.2.2
Connection to test for trend
............ 199
11.3
Logistic regression using raw data
............. 201
11.4
Prediction
........................... 203
11.5
Model checking
....................... 204
11.6
Exercises
........................... 208
Contents xv
12
Survival
analysis
211
12.1
Essential concepts
...................... 211
12.2
Survival objects
....................... 212
12.3
Kaplan-Meier estimates
................... 213
12.4
The log-rank test
....................... 216
12.5
The Cox proportional hazards model
........... 218
12.6
Exercises
........................... 220
A Obtaining and installing
R
221
В
Data sets in the iSwR package
225
С
Compendium
247
Index
261
R
is an Open Source implementation of the well-known
S
language. It works on
multiple computing platforms and can be freely downloaded.
R
Is thus ideally
suited for teaching at many levels as well as for
practical
data analysis and method¬
ological development This book provides an elementary-level introduction to R,
targeting both nonstatisticiaB
scientiste
in various fields and students of statistics.
The main mode of presentation is via code examples with liberal commenting of the
code and the output, from the computational as well as the statistical viewpoint.
Brief sections
introduce
tlie
statistical methods before they are used. A supplemen¬
tary
R
package can be downloaded and contains the data sets. All examples are
directly runnabie aad all graphics in the test are generated from the examples.
The statistical methodology covered includes statistical standard
distributions,
ene-
and
two-sample tests with continuous data, regression analysis, one- and two-
way analysis of variance,
régression
analysis, analysis of tabular data, and sample-size
calculations. In addition, the last four chapters contain introductions to multiple
linear regression analysis, linear models in general, logistic regression» and survival
Peter Dalgaard is &n associate professor at the Department of Biostutistics at the
University of Copenhagen and has extensive experience In teaching within the Ph.I>.
curriculum at the Faculty of Health Sciences. He was chairman of
tlie
Danish Society
for Theoretical Statistics from
.1996
to
2000.
Peter
Dalgaarđ
has been a key member
of the
E
core
teára
siace August
1997
and is well known among
R
users for his activ¬
ity on the
R mailîD
|
| any_adam_object | 1 |
| author | Dalgaard, Peter 1959- |
| author_GND | (DE-588)1229995811 |
| author_facet | Dalgaard, Peter 1959- |
| author_role | aut |
| author_sort | Dalgaard, Peter 1959- |
| author_variant | p d pd |
| building | Verbundindex |
| bvnumber | BV014428896 |
| callnumber-first | Q - Science |
| callnumber-label | QA276 |
| callnumber-raw | QA276.4.D33 2002 |
| callnumber-search | QA276.4.D33 2002 |
| callnumber-sort | QA 3276.4 D33 42002 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | ST 250 ST 320 ST 600 ST 601 ZA 61000 |
| classification_tum | DAT 368f |
| ctrlnum | (OCoLC)255349565 (DE-599)BVBBV014428896 |
| dewey-full | 519.521 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 21 519.5 |
| dewey-search | 519.5 21 519.5 |
| dewey-sort | 3519.5 221 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Agrar-/Forst-/Ernährungs-/Haushaltswissenschaft / Gartenbau Mathematik |
| format | Book |
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| id | DE-604.BV014428896 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:02:40Z |
| institution | BVB |
| isbn | 9780387954752 0387954759 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009865699 |
| oclc_num | 255349565 |
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| physical | XV, 267 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| series2 | Statistics and computing |
| spelling | Dalgaard, Peter 1959- Verfasser (DE-588)1229995811 aut Introductory statistics with R Peter Dalgaard New York, NY [u.a.] Springer 2002 XV, 267 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Statistics and computing ANOVA, regression, correlation, lineas models, logistic regression. Statistik - R <Programm> Datenverarbeitung Statistik Statistics -- Data processing R (Computer program language) Statistik (DE-588)4056995-0 gnd rswk-swf R Programm (DE-588)4705956-4 gnd rswk-swf Statistik (DE-588)4056995-0 s R Programm (DE-588)4705956-4 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009865699&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009865699&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Dalgaard, Peter 1959- Introductory statistics with R Statistik - R <Programm> Datenverarbeitung Statistik Statistics -- Data processing R (Computer program language) Statistik (DE-588)4056995-0 gnd R Programm (DE-588)4705956-4 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4705956-4 |
| title | Introductory statistics with R |
| title_auth | Introductory statistics with R |
| title_exact_search | Introductory statistics with R |
| title_full | Introductory statistics with R Peter Dalgaard |
| title_fullStr | Introductory statistics with R Peter Dalgaard |
| title_full_unstemmed | Introductory statistics with R Peter Dalgaard |
| title_short | Introductory statistics with R |
| title_sort | introductory statistics with r |
| topic | Statistik - R <Programm> Datenverarbeitung Statistik Statistics -- Data processing R (Computer program language) Statistik (DE-588)4056995-0 gnd R Programm (DE-588)4705956-4 gnd |
| topic_facet | Statistik - R <Programm> Datenverarbeitung Statistik Statistics -- Data processing R (Computer program language) R Programm |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009865699&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009865699&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT dalgaardpeter introductorystatisticswithr |