Analysis of repeated measures data:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Singapore
Springer
[2017]
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Schlagworte: | |
Online-Zugang: | BTU01 FHR01 FRO01 FWS01 FWS02 HTW01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Inhaltsverzeichnis |
Beschreibung: | 1 Online-Ressource (XIX, 250 Seiten, 6 illus) |
ISBN: | 9789811037948 |
DOI: | 10.1007/978-981-10-3794-8 |
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Datensatz im Suchindex
DE-BY-FWS_katkey | 653483 |
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adam_text | Titel: Analysis of repeated measures data
Autor: Islam, M. Ataharul
Jahr: 2017
Contents
1 Introduction............................................. 1
2 Linear Models........................................... 9
2.1 Simple Linear Regression Model........................ 9
2.2 Multiple Regression Model............................. 10
2.3 Estimation of Parameters.............................. 11
2.3.1 Method of Least Squares......................... 12
2.3.2 Maximum Likelihood Estimation.................. 15
2.4 Tests.............................................. 16
2.5 Example........................................... 19
3 Exponential Family of Distributions.......................... 23
3.1 Exponential Family and Sufficiency...................... 24
3.2 Some Important Properties............................. 28
4 Generalized Linear Models................................. 31
4.1 Introduction........................................ 31
4.2 Exponential Family and GLM.......................... 32
4.3 Expected Value and Variance........................... 34
4.4 Components of a GLM................................ 35
4.5 Multinomial Response Model........................... 38
4.6 Estimating Equations................................. 40
4.7 Deviance........................................... 43
4.8 Examples.......................................... 47
5 Covariate-Dependent Markov Models........................ 51
5.1 Introduction........................................ 51
5.2 First Order Markov Model............................. 52
5.3 Conditional Model for Second Order Markov Chain
with Covariate Dependence............................ 54
5.4 Covariate Dependent Model for Markov Chain of Order r..... 57
x Contents
5.5 Tests for the Model.................................. 58
5.6 Examples.......................................... 60
6 Modeling Bivariate Binary Data............................ 67
6.1 Introduction........................................ 67
6.2 Bivariate Bernoulli Distribution......................... 68
6.3 Bivariate Binary Model with Covariate Dependence.......... 69
6.3.1 Covariate-Dependent Model...................... 70
6.3.2 Likelihood Function and Estimating Equations........ 71
6.4 Test for Dependence in Bivariate Binary Outcomes.......... 72
6.4.1 Measure of Dependence......................... 72
6.4.2 Test for the Model............................. 73
6.4.3 Test for Dependence............................ 75
6.5 Generalized Bivariate Bernoulli Model.................... 76
6.5.1 The Bivariate Bernoulli Model.................... 77
6.5.2 Estimating Equations............................ 79
6.5.3 Tests........................................ 81
6.6 Some Alternative Binary Repeated Measures Models......... 82
6.7 Examples.......................................... 84
7 Bivariate Geometric Model................................. 87
7.1 Introduction........................................ 87
7.2 Univariate Geometric Distribution....................... 88
7.3 Bivariate Geometric Distribution: Marginal and Conditional
Models............................................ 88
7.4 Bivariate Geometric Distribution: Joint Model.............. 91
7.5 Examples.......................................... 93
8 Models for Bivariate Count Data:
Bivariate Poisson Distribution.............................. 97
8.1 Introduction........................................ 97
8.2 The Poisson-Poisson Distribution........................ 98
8.3 Bivariate GLM for Poisson-Poisson...................... 99
8.3.1 Model and Estimation........................... 99
8.3.2 Overdispersion in Count Data..................... 100
8.3.3 Tests for Goodness of Fit........................ 101
8.3.4 Simple Tests for Overdispersion With or Without
Covariate Dependence........................... 102
8.4 Zero-Truncated Bivariate Poisson........................ 103
8.4.1 Zero-Truncated Poisson Distribution................ 104
8.4.2 A Generalized Zero-Truncated BVP Linear Model..... 105
8.4.3 Test for the Model............................. 107
8.4.4 Deviance and Goodness of Fit.................... 107
Contents xi
8.5 Right-Truncated Bivariate Poisson Model.................. 108
8.5.1 Bivariate Right-Truncated Poisson-Poisson Model..... 108
8.5.2 Predicted Probabilities........................... 110
8.5.3 Test for Goodness of Fit......................... 112
8.6 Double Poisson Distribution............................ 114
8.6.1 Double Poisson Model........................... 114
8.6.2 Bivariate Double Poisson Model................... 118
8.7 Applications........................................ 121
9 Bivariate Negative Binomial and Multinomial Models........... 125
9.1 Introduction........................................ 125
9.2 Review of GLM for Multinomial........................ 126
9.3 Bivariate Multinomial................................. 128
9.4 Tests for Comparison of Models......................... 131
9.5 Negative Multinomial Distribution and Bivariate GLM....... 133
9.5.1 GLM for Negative Multinomial................... 134
9.6 Application of Negative Multinomial Model............... 137
10 Bivariate Exponential Model............................... 139
10.1 Introduction........................................ 139
10.2 Bivariate Exponential Distributions....................... 139
10.3 Bivariate Exponential Generalized Linear Model............ 142
10.4 Bivariate Exponential GLM Proposed
by Iwasaki and Tsubaki............................... 146
10.5 Example........................................... 148
11 Quasi-Likelihood Methods................................. 151
11.1 Introduction........................................ 151
11.2 Likelihood Function and GLM.......................... 152
11.3 Quasi-likelihood Functions............................. 153
11.4 Estimation of Parameters.............................. 155
11.5 Examples.......................................... 158
12 Generalized Estimating Equation............................ 161
12.1 Introduction........................................ 161
12.2 Background........................................ 161
12.3 Estimation of Parameters.............................. 163
12.4 Steps in a GEE: Estimation and Test..................... 164
12.5 Examples.......................................... 166
13 Generalized Linear Mixed Models........................... 169
13.1 Introduction........................................ 169
13.2 Generalized Linear Mixed Model........................ 169
13.3 Identity Link Function................................ 170
13.4 Logit Link Function.................................. 170
13.5 Log Link Function................................... 171
xii Contents
13.6 Multinomial Data.................................... 173
13.7 Examples.......................................... 175
14 Generalized Multivariate Models............................ 177
14.1 Introduction........................................ 177
14.2 Multivariate Poisson Distribution........................ 179
14.3 Multivariate Negative Binomial Distribution................ 181
14.4 Multivariate Geometric Distribution...................... 182
14.5 Multivariate Normal Distribution........................ 184
14.6 Examples.......................................... 187
15 Multistate and Multistage Models........................... 191
15.1 Introduction........................................ 191
15.2 Some Basic Concepts................................. 192
15.3 Censoring: Construction of Likelihood Function............ 196
15.4 Proportional Hazards Model............................ 197
15.5 Competing Risk Proportional Hazards Model............... 199
15.6 Multistate Hazards Model.............................. 200
15.7 Multistage Hazards Model............................. 203
15.8 Examples.......................................... 207
16 Analysing Data Using R and SAS........................... 213
16.1 Description......................................... 213
References.................................................. 235
Subject Index................................................ 249
|
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author | Islam, M. Ataharul 1976- |
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doi_str_mv | 10.1007/978-981-10-3794-8 |
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indexdate | 2024-08-01T12:44:51Z |
institution | BVB |
isbn | 9789811037948 |
language | English |
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physical | 1 Online-Ressource (XIX, 250 Seiten, 6 illus) |
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publishDate | 2017 |
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publisher | Springer |
record_format | marc |
spellingShingle | Islam, M. Ataharul 1976- Analysis of repeated measures data Statistics Statistics for Business/Economics/Mathematical Finance/Insurance Statistical Theory and Methods Statistics for Life Sciences, Medicine, Health Sciences Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law Statistik |
title | Analysis of repeated measures data |
title_auth | Analysis of repeated measures data |
title_exact_search | Analysis of repeated measures data |
title_full | Analysis of repeated measures data M. Ataharul Islam, Rafiqul I Chowdhury |
title_fullStr | Analysis of repeated measures data M. Ataharul Islam, Rafiqul I Chowdhury |
title_full_unstemmed | Analysis of repeated measures data M. Ataharul Islam, Rafiqul I Chowdhury |
title_short | Analysis of repeated measures data |
title_sort | analysis of repeated measures data |
topic | Statistics Statistics for Business/Economics/Mathematical Finance/Insurance Statistical Theory and Methods Statistics for Life Sciences, Medicine, Health Sciences Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law Statistik |
topic_facet | Statistics Statistics for Business/Economics/Mathematical Finance/Insurance Statistical Theory and Methods Statistics for Life Sciences, Medicine, Health Sciences Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law Statistik |
url | https://doi.org/10.1007/978-981-10-3794-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029833919&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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