Analysis of categorical data with R:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, FL [u.a.]
CRC Press
2015
|
| Series: | Texts in statistical science
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (pages 513-523) and index |
| Physical Description: | XIII, 533 S. Ill., graph. Darst. |
| ISBN: | 9781439855676 |
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MARC
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| 100 | 1 | |a Bilder, Christopher R. |e Verfasser |0 (DE-588)1062689283 |4 aut | |
| 245 | 1 | 0 | |a Analysis of categorical data with R |c Christopher R. Bilder ; Thomas M. Loughin |
| 264 | 1 | |a Boca Raton, FL [u.a.] |b CRC Press |c 2015 | |
| 300 | |a XIII, 533 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Texts in statistical science | |
| 500 | |a Includes bibliographical references (pages 513-523) and index | ||
| 650 | 7 | |a MATHEMATICS / Probability & Statistics / General |2 bisacsh | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Categories (Mathematics) |x Data processing | |
| 650 | 4 | |a R (Computer program language) | |
| 650 | 4 | |a MATHEMATICS / Probability & Statistics / General | |
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Record in the Search Index
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| adam_text |
CONTENTS
PREFACE
XI
1
ANALYZING
A
BINARY
RESPONSE,
PART
1:
INTRODUCTION
1
1.1
ONE
BINARY
VARIABLE
.
1
1.1.1
BERNOULLI
AND
BINOMIAL
PROBABILITY
DISTRIBUTIONS
.
1
1.1.2
INFERENCE
FOR
THE
PROBABILITY
OF
SUCCESS.
8
1.1.3
TRUE
CONFIDENCE
LEVELS
FOR
CONFIDENCE
INTERVALS.
17
1.2
TWO
BINARY
VARIABLES
.
23
1.2.1
NOTATION
AND
MODEL.
25
1.2.2
CONFIDENCE
INTERVALS
FOR
THE
DIFFERENCE
OF
TWO
PROBABILITIES.
29
1.2.3
TEST
FOR
THE
DIFFERENCE
OF
TWO
PROBABILITIES.
34
1.2.4
RELATIVE
RISKS.
37
1.2.5
ODDS
RATIOS.
40
1.2.6
MATCHED
PAIRS
DATA.
43
1.2.7
LARGER
CONTINGENCY
TABLES.
47
1.3
EXERCISES
.
48
2
ANALYZING
A
BINARY
RESPONSE,
PART
2:
REGRESSION
MODELS
61
2.1
LINEAR
REGRESSION
MODELS
.
61
2.2
LOGISTIC
REGRESSION
MODELS.
62
2.2.1
PARAMETER
ESTIMATION.
64
2.2.2
HYPOTHESIS
TESTS
FOR
REGRESSION
PARAMETERS.
76
2.2.3
ODDS
RATIOS.
82
2.2.4
PROBABILITY
OF
SUCCESS.
86
2.2.5
INTERACTIONS
AND
TRANSFORMATIONS
FOR
EXPLANATORY
VARIABLES.
94
2.2.6
CATEGORICAL
EXPLANATORY
VARIABLES.
100
2.2.7
CONVERGENCE
OF
PARAMETER
ESTIMATION.
110
2.2.8
MONTE
CARLO
SIMULATION.
116
2.3
GENERALIZED
LINEAR
MODELS.
121
2.4
EXERCISES
.
129
3
ANALYZING
A
MULTICATEGORY
RESPONSE
141
3.1
MULTINOMIAL
PROBABILITY
DISTRIBUTION.
141
3.2
I
X
J
CONTINGENCY
TABLES
AND
INFERENCE
PROCEDURES
.
143
3.2.1
ONE
MULTINOMIAL
DISTRIBUTION.
143
3.2.2
I
MULTINOMIAL
DISTRIBUTIONS.
144
3.2.3
TEST
FOR
INDEPENDENCE.
146
3.3
NOMINAL
RESPONSE
REGRESSION
MODELS
.
152
3.3.1
ODDS
RATIOS.
160
3.3.2
CONTINGENCY
TABLES.
163
3.4
ORDINAL
RESPONSE
REGRESSION
MODELS
.
170
3.4.1
ODDS
RATIOS.
177
3.4.2
CONTINGENCY
TABLES.
179
VII
VLIL
3.4.3
NON-PROPORTIONAL
ODDS
MODEL.
182
3.5
ADDITIONAL
REGRESSION
MODELS
.
186
3.6
EXERCISES
.
187
4
ANALYZING
A
COUNT
RESPONSE
195
4.1
POISSON
MODEL
FOR
COUNT
DATA.
195
4.1.1
POISSON
DISTRIBUTION.
195
4.1.2
POISSON
LIKELIHOOD
AND
INFERENCE.
198
4.2
POISSON
REGRESSION
MODELS
FOR
COUNT
RESPONSES
.
201
4.2.1
MODEL
FOR
MEAN:
LOG
LINK.
203
4.2.2
PARAMETER
ESTIMATION
AND
INFERENCE
.
204
4.2.3
CATEGORICAL
EXPLANATORY
VARIABLES.
211
4.2.4
POISSON
REGRESSION
FOR
CONTINGENCY
TABLES:
LOGLINEAR
MODELS
.
218
4.2.5
LARGE
LOGLINEAR
MODELS.
222
4.2.6
ORDINAL
CATEGORICAL
VARIABLES
.
231
4.3
POISSON
RATE
REGRESSION
.
240
4.4
ZERO
INFLATION.
244
4.5
EXERCISES
.
253
5
MODEL
SELECTION
AND
EVALUATION
265
5.1
VARIABLE
SELECTION
.
265
5.1.1
OVERVIEW
OF
VARIABLE
SELECTION.
265
5.1.2
MODEL
COMPARISON
CRITERIA
.
267
5.1.3
ALL-SUBSETS
REGRESSION
.
268
5.1.4
STEPWISE
VARIABLE
SELECTION.
272
5.1.5
MODERN
VARIABLE
SELECTION
METHODS.
277
5.1.6
MODEL
AVERAGING.
281
5.2
TOOLS
TO
ASSESS
MODEL
FIT
.
285
5.2.1
RESIDUALS.
286
5.2.2
GOODNESS
OF
FIT.
292
5.2.3
INFLUENCE
.
296
5.2.4
DIAGNOSTICS
FOR
MULTICATEGORY
RESPONSE
MODELS
.
301
5.3
OVERDISPERSION.
301
5.3.1
CAUSES
AND
IMPLICATIONS.
302
5.3.2
DETECTION.
305
5.3.3
SOLUTIONS
.
306
5.4
EXAMPLES.
318
5.4.1
LOGISTIC
REGRESSION
-
PLACEKICKING
DATA
SET.
318
5.4.2
POISSON
REGRESSION
-
ALCOHOL
CONSUMPTION
DATA
SET.
329
5.5
EXERCISES
.
345
6
ADDITIONAL
TOPICS
355
6.1
BINARY
RESPONSES
AND
TESTING
ERROR.
355
6.1.1
ESTIMATING
THE
PROBABILITY
OF
SUCCESS.
355
6.1.2
BINARY
REGRESSION
MODELS
.
358
6.1.3
OTHER
METHODS.
361
6.2
EXACT
INFERENCE.
362
6.2.1
FISHER*S
EXACT
TEST
FOR
INDEPENDENCE.
362
6.2.2
PERMUTATION
TEST
FOR
INDEPENDENCE.
367
6.2.3
EXACT
LOGISTIC
REGRESSION.
372
6.2.4
ADDITIONAL
EXACT
INFERENCE
PROCEDURES.
380
IX
6.3
CATEGORICAL
DATA
ANALYSIS
IN
COMPLEX
SURVEY
DESIGNS
.
380
6.3.1
THE
SURVEY
SAMPLING
PARADIGM.
381
6.3.2
OVERVIEW
OF
ANALYSIS
APPROACHES.
382
6.3.3
WEIGHTED
CELL
COUNTS.
386
6.3.4
INFERENCE
ON
POPULATION
PROPORTIONS.
387
6.3.5
CONTINGENCY
TABLES
AND
LOGLINEAR
MODELS.
389
6.3.6
LOGISTIC
REGRESSION.
400
6.4
*CHOOSE
ALL
THAT
APPLY*
DATA
.
404
6.4.1
ITEM
RESPONSE
TABLE
.
405
6.4.2
TESTING
FOR
MARGINAL
INDEPENDENCE.
405
6.4.3
REGRESSION
MODELING.
412
6.5
MIXED
MODELS
AND
ESTIMATING
EQUATIONS
FOR
CORRELATED
DATA.
419
6.5.1
RANDOM
EFFECTS.
420
6.5.2
MIXED-EFFECTS
MODELS.
422
6.5.3
MODEL
FITTING.
425
6.5.4
INFERENCE
.
432
6.5.5
MARGINAL
MODELING
USING
GENERALIZED
ESTIMATING
EQUATIONS.
438
6.6
BAYESIAN
METHODS
FOR
CATEGORICAL
DATA.
443
6.6.1
ESTIMATING
A
PROBABILITY
OF
SUCCESS.
444
6.6.2
REGRESSION
MODELS.
449
6.6.3
ALTERNATIVE
COMPUTATIONAL
TOOLS.
459
6.7
EXERCISES
.
459
A
AN
INTRODUCTION
TO
R
473
A.L
BASICS.
473
A.2
FUNCTIONS.
475
A.3
HELP.
476
A.4
USING
FUNCTIONS
ON
VECTORS
.
477
A.5
PACKAGES
.
478
A.6
PROGRAM
EDITORS
.
479
A.6.1
R
EDITOR.
479
A.6.2
RSTUDIO.
479
A.6.3
TINN-R
.
480
A.6.4
OTHER
EDITORS.
482
A.
7
REGRESSION
EXAMPLE
.
482
A.7.1
BACKGROUND.
482
A.7.2
DATA
SUMMARY.
483
A.7.3
REGRESSION
MODELING.
485
A.
7.4
ADDITIONAL
ITEMS.
491
B
LIKELIHOOD
METHODS
495
B.
L
INTRODUCTION
.
495
B.
1.1
MODEL
AND
PARAMETERS
.
495
B.1.2
THE
ROLE
OF
LIKELIHOODS.
496
B.2
LIKELIHOOD
.
496
B.2.1
DEFINITION.
496
B.2.2
EXAMPLES.
497
B.3
MAXIMUM
LIKELIHOOD
ESTIMATES
.
498
B.3.1
MATHEMATICAL
MAXIMIZATION
OF
THE
LOG-LIKELIHOOD
FUNCTION.
500
B.3.2
COMPUTATIONAL
MAXIMIZATION
OF
THE
LOG-LIKELIHOOD
FUNCTION.
501
B.3.3
LARGE-SAMPLE
PROPERTIES
OF
THE
MLE.
502
X
B.3.4
VARIANCE
OF
THE
MLE.
502
B.4
FUNCTIONS
OF
PARAMETERS
.
504
B.4.1
INVARIANCE
PROPERTY
OF
MLES.
504
B.4.2
DELTA
METHOD
FOR
VARIANCES
OF
FUNCTIONS.
505
B.5
INFERENCE
WITH
MLES
.
506
B.5.1
TESTS
FOR
PARAMETERS.
506
B.5.2
CONFIDENCE
INTERVALS
FOR
PARAMETERS
.
510
B.5.3
TESTS
FOR
MODELS.
511
BIBLIOGRAPHY
513
INDEX
*
525 |
| any_adam_object | 1 |
| author | Bilder, Christopher R. Loughin, Thomas M. |
| author_GND | (DE-588)1062689283 (DE-588)1062689550 |
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| ctrlnum | (OCoLC)887976138 (DE-599)BVBBV042135979 |
| discipline | Mathematik |
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| id | DE-604.BV042135979 |
| illustrated | Illustrated |
| indexdate | 2024-11-04T15:01:09Z |
| institution | BVB |
| isbn | 9781439855676 |
| language | English |
| lccn | 014019437 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027576052 |
| oclc_num | 887976138 |
| open_access_boolean | |
| owner | DE-11 DE-188 |
| owner_facet | DE-11 DE-188 |
| physical | XIII, 533 S. Ill., graph. Darst. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | CRC Press |
| record_format | marc |
| series2 | Texts in statistical science |
| spelling | Bilder, Christopher R. Verfasser (DE-588)1062689283 aut Analysis of categorical data with R Christopher R. Bilder ; Thomas M. Loughin Boca Raton, FL [u.a.] CRC Press 2015 XIII, 533 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts in statistical science Includes bibliographical references (pages 513-523) and index MATHEMATICS / Probability & Statistics / General bisacsh Datenverarbeitung Categories (Mathematics) Data processing R (Computer program language) MATHEMATICS / Probability & Statistics / General R Programm (DE-588)4705956-4 gnd rswk-swf Datenanalyse (DE-588)4123037-1 gnd rswk-swf Datenanalyse (DE-588)4123037-1 s R Programm (DE-588)4705956-4 s DE-604 Loughin, Thomas M. Verfasser (DE-588)1062689550 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027576052&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bilder, Christopher R. Loughin, Thomas M. Analysis of categorical data with R MATHEMATICS / Probability & Statistics / General bisacsh Datenverarbeitung Categories (Mathematics) Data processing R (Computer program language) MATHEMATICS / Probability & Statistics / General R Programm (DE-588)4705956-4 gnd Datenanalyse (DE-588)4123037-1 gnd |
| subject_GND | (DE-588)4705956-4 (DE-588)4123037-1 |
| title | Analysis of categorical data with R |
| title_auth | Analysis of categorical data with R |
| title_exact_search | Analysis of categorical data with R |
| title_full | Analysis of categorical data with R Christopher R. Bilder ; Thomas M. Loughin |
| title_fullStr | Analysis of categorical data with R Christopher R. Bilder ; Thomas M. Loughin |
| title_full_unstemmed | Analysis of categorical data with R Christopher R. Bilder ; Thomas M. Loughin |
| title_short | Analysis of categorical data with R |
| title_sort | analysis of categorical data with r |
| topic | MATHEMATICS / Probability & Statistics / General bisacsh Datenverarbeitung Categories (Mathematics) Data processing R (Computer program language) MATHEMATICS / Probability & Statistics / General R Programm (DE-588)4705956-4 gnd Datenanalyse (DE-588)4123037-1 gnd |
| topic_facet | MATHEMATICS / Probability & Statistics / General Datenverarbeitung Categories (Mathematics) Data processing R (Computer program language) R Programm Datenanalyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027576052&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bilderchristopherr analysisofcategoricaldatawithr AT loughinthomasm analysisofcategoricaldatawithr |