Multilevel modelling of health statistics:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Chichester [u.a.]
Wiley
2001
|
| Series: | Wiley series in probability and statistics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 217 S. |
| ISBN: | 0471998907 |
Staff View
MARC
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| 245 | 1 | 0 | |a Multilevel modelling of health statistics |c ed. by A. H. Leyland ... |
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| 300 | |a XVII, 217 S. | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface xi
Contributors xiii
Introduction xv
Chapter 1 Multilevel Data and Their Analysis 1
M.J.R. Healy
1.1 Introduction 1
1.2 Models for multilevel data 2
1.3 A variance components model 3
1.4 A random coefficient model 4
1.5 An example 4
1.6 The log likelihood 7
1.7 Residuals 7
1.8 Dummy variables and interactions 9
1.9 Structures with complex variation 11
Chapter 2 Modelling Repeated Measurements 13
H. Goldstein and G. Woodhouse
2.1 Introduction 13
2.2 A two level repeated measures model 15
2.3 A polynomial model example for adolescent growth
in height and bone age together with adult height 17
2.4 Modelling an autocorrelation structure at level 1 20
2.5 A growth model with autocorrelated residuals 22
2.6 Multivariate repeated measures models 23
2.7 Crossover designs 24
2.8 Discrete response data 24
2.9 Missing data 25
2.10 Conclusions 26
Chapter 3 Binomial Regression 27
N. Rice
3.1 Introduction 27
vi CONTENTS
3.2 Examples 28
3.2.1 Geographical variations 29
3.2.2 Uptake of immunisation 29
3.2.3 Interpractitioner variation in prescribing 29
3.2.4 Child mortality 30
3.2.5 General practitioner incentives 30
3.2.6 Competition amongst general practitioners 31
3.3 Linear multilevel models 31
3.3.1 Binary responses 31
3.3.2 Binary and proportion responses 32
3.4 Multilevel models for binary and binomial data 32
3.4.1 Binary response 32
3.4.2 Proportions as responses 34
3.5 Extra binomial variation and model diagnostics 35
3.6 Example: investigation of equity in health care 37
3.6.1 Data 38
3.6.2 Estimation 39
3.6.3 Results 39
3.6.4 Conclusions 43
Chapter 4 Poisson Regression 45
I.H. Langford and R.J. Day
4.1 Introduction 45
4.2 Methods 46
4.3 Examples 49
4.3.1 Testis cancer mortality in the European
Community 49
4.3.2 Weekly incidence of food poisoning in
England and Wales 53
4.4 Discussion 56
Chapter 5 Multivariate Multilevel Models 59
A. McLeod
5.1 Introduction 59
5.1.1 Multivariate data 59
5.1.2 Multivariate regression 59
5.2 The multivariate linear model 61
5.2.1 Basic notation 61
5.2.2 Example 1: blood pressure in a
low birthweight cohort 62
5.3 Extensions of the multivariate linear model 64
5.3.1 Clustered multivariate responses 64
5.3.2 Discrete outcomes 65
5.3.3 Mixed discrete and continuous outcomes 67
5.3.4 Example 2: LOS and readmission rates 68
CONTENTS vii
5.4 Missing data 69
5.4.1 Responses missing at random 69
5.4.2 Responses missing by design 70
5.4.3 Structural missing responses 70
5.4.4 Example 3: Hospital and non hospital deaths
from AMI 71
Chapter 6 Outliers, Robustness and the Detection of Discrepant Data 75
T. Lewis and I. H. Langford
6.1 Introduction 75
6.2 Cancer mortality data 77
6.3 An initial model 79
6.4 Using dummy variables 80
6.5 Leverage, deletion residuals and DFITS 84
6.6 Concluding remarks 90
Chapter 7 Modelling Non Hierarchical Structures 93
J. Rasbash and W. Browne
1.1 Introduction 93
7.2 Cross classified models 93
7.2.1 Two way cross classifications a basic model 93
7.2.2 More complex cross classified population
structures 95
7.2.3 Models where more than one cross classified
structure exists 97
7.2.4 General rules for notation construction 98
7.2.5 An example analysis for a cross classified
model 100
7.3 Multiple membership models 102
7.3.1 An example analysis for a
multiple membership model 103
7.4 Software and computational issues 105
7.5 Consequences of ignoring non hierarchical structures 105
Chapter 8 Multinomial Regression 107
M. Yang
8.1 Introduction 107
8.2 Modelling nominal responses with a three level
hierarchy 108
8.2.1 Example: Use and abuse of antibiotics for acute
respiratory tract infections in young children 108
8.2.2 The basic model for nominal responses with
three level hierarchies 109
viii CONTENTS
8.2.3 Fitting fixed effects 112
8.2.4 Fitting fixed effects in the example data 113
8.2.5 Examining the residuals 116
8.2.6 Fitting a random coefficient model 117
8.3 Modelling multilevel ordinal responses 118
8.3.1 Example: Television School and Family
Smoking Prevention and Cessation Project
(TVSFP) 118
8.3.2 The basic model for ordinal responses with
three level hierarchies 119
8.3.3 Modelling the example data 120
8.3.4 Fitting a random coefficient model 122
8.3.5 MLwiN and MIXOR 123
8.3.6 A proportional hazards model 123
Chapter 9 Institutional Performance 127
E.C. Marshall and D.J. Spiegelhalter
9.1 Introduction 127
9.2 New York data 128
9.3 A fixed effects model assuming independent
surgeons 130
9.4 A two level model 130
9.5 Ranks for institutions 132
9.6 A three level model 134
9.7 Discussion 137
9.8 Appendix: MCMC and BUGS 140
Chapter 10 Spatial Analysis 143
A.H. Ley land
10.1 Introduction 143
10.2 The spatial model 144
10.3 Computation 146
10.4 Example: Scottish lip cancer data 147
10.5 Extensions to the spatial model 152
10.5.1 Higher order autoregressive models 153
10.5.2 Models with three or more levels 154
10.5.3 Multivariate spatial models 155
10.5.4 Spatio temporal models 155
10.6 Discussion and conclusions 156
Chapter 11 Sampling 159
T.A.B. Snijders
11.1 Multilevel analysis and multistage samples 159
CONTENTS ix
11.2 Model based and design based inference 160
11.3 Study design: power and standard errors 161
11.4 The design effect for the estimation of a mean 162
11.5 The effect of a level 2 variable 164
11.6 The effect of a level 1 variable 164
11.6.1 A level 1 variable with a random slope 166
11.7 Optimal sample size for estimating a regression
coefficient 167
11.8 The use of covariates 168
11.9 Standard errors for fixed effects in general 169
11.10 Random parameters 172
11.11 Conclusions 173
Chapter 12 Further Topics in Multilevel Modelling 175
H. Goldstein and A.H. Leyland
12.1 Introduction 175
12.2 Meta analysis 175
12.2.1 Combining individual level data with
aggregate level data 177
12.2.2 Clinical trial meta analysis 177
12.3 Survival data modelling 178
12.4 Context and composition 181
12.5 Recent developments in multilevel modelling 186
Chapter 13 Software for Multilevel Analysis 187
J. de Leeuw and I. G. G. Kreft
13.1 Introduction 187
13.1.1 Programs, macros and packages 188
13.1.2 Omissions 188
13.2 Major specialised programs 189
13.2.1 MLwiN 189
13.2.2 HLM 192
13.3 Minor specialised programs 194
13.3.1 VARCL 194
13.3.2 MIXFOO 195
13.3.3 MLA 197
13.4 Modules in a major package 198
13.4.1 BMDP5 V 198
13.4.2 PROC MIXED 200
13.5 Conclusions 202
References 205
Index 213
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| indexdate | 2024-07-09T18:59:33Z |
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| isbn | 0471998907 |
| language | English |
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| spelling | Multilevel modelling of health statistics ed. by A. H. Leyland ... Chichester [u.a.] Wiley 2001 XVII, 217 S. txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and statistics Geneeskunde gtt Multiniveau-analyse gtt Medizin Statistik Linear models (Statistics) Medical statistics Models, Statistical Multivariate Analysis Multivariate analysis Statistics as Topic methods Leyland, Alastair H. Sonstige oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009737818&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Multilevel modelling of health statistics Geneeskunde gtt Multiniveau-analyse gtt Medizin Statistik Linear models (Statistics) Medical statistics Models, Statistical Multivariate Analysis Multivariate analysis Statistics as Topic methods |
| title | Multilevel modelling of health statistics |
| title_auth | Multilevel modelling of health statistics |
| title_exact_search | Multilevel modelling of health statistics |
| title_full | Multilevel modelling of health statistics ed. by A. H. Leyland ... |
| title_fullStr | Multilevel modelling of health statistics ed. by A. H. Leyland ... |
| title_full_unstemmed | Multilevel modelling of health statistics ed. by A. H. Leyland ... |
| title_short | Multilevel modelling of health statistics |
| title_sort | multilevel modelling of health statistics |
| topic | Geneeskunde gtt Multiniveau-analyse gtt Medizin Statistik Linear models (Statistics) Medical statistics Models, Statistical Multivariate Analysis Multivariate analysis Statistics as Topic methods |
| topic_facet | Geneeskunde Multiniveau-analyse Medizin Statistik Linear models (Statistics) Medical statistics Models, Statistical Multivariate Analysis Multivariate analysis Statistics as Topic methods |
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