Multilevel statistical models:
Saved in:
| Previous Title: | Goldstein, Harvey Multilevel models in educational and social research |
|---|---|
| Main Author: | |
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Arnold [u.a.]
1995
|
| Edition: | 2. ed. |
| Series: | Kendall's library of statistics
3 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | 1. Aufl. u.d.T.: Goldstein, Harvey: Multilevel models in educational and social research |
| Physical Description: | XIV, 178 S. graph. Darst. |
| ISBN: | 0340595299 |
Staff View
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| 264 | 1 | |a London [u.a.] |b Arnold [u.a.] |c 1995 | |
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| 650 | 4 | |a Educational tests and measurements |x Mathematical models | |
| 650 | 4 | |a Social sciences |x Mathematical models | |
| 650 | 4 | |a Social sciences |x Research |x Methodology | |
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Record in the Search Index
| _version_ | 1828367647767527424 |
|---|---|
| adam_text |
Contents
Preface jx
Acknowledgements x
Notation xi
Glossary xiii
1 Introduction 1
Introduction 1
School effectiveness 3
Sample survey methods 5
Repeated measures data 5
Event history models 6
Discrete response data 7
Multivariate models 7
Nonlinear models 8
Measurement errors 8
Random cross classifications 9
Structural equation models 10
Levels of aggregation and ecological fallacies 10
Causality 11
A caveat 12
2 The Basic Linear Multilevel Model and its Estimation 15
The 2 level model and basic notation 15
The 2 level model 17
Parameter estimation for the variance components model 18
The general 2 level model including random coefficients 20
Estimation for the multilevel model 21
Other estimation procedures 23
Residuals 24
The adequacy of Ordinary Least Squares estimates 25
A 2 level example using longitudinal educational achievement data 26
vi Contents
Higher level explanatory variables and compositional effects 30
Hypothesis testing and confidence intervals 32
Appendix 2.1 The general structure and estimation for a multilevel
model 38
Appendix 2.2 Multilevel residuals estimation 41
Appendix 23 The EM algorithm 43
Appendix 2.4 Gibbs sampling 45
3 Extensions to the Basic Multilevel Model 47
Complex variance structures 47
A 3 level complex variation model 55
Parameter constraints 57
Weighting units 58
Robust, jackknife and bootstrap uncertainty estimates 60
Aggregate level analyses 62
Meta analysis 65
4 The Multivariate Multilevel Model 69
Multivariate multilevel models 69
The basic 2 level multivariate model 69
Rotation designs 71
A rotation design example using science test scores 72
Principal components analysis 74
Multiple discriminant analysis 76
Other procedures 76
5 Nonlinear Multilevel Models 77
Nonlinear models 77
Nonlinear functions of linear components 77
Estimating population means 79
Nonlinear functions for variances and covariances 80
Examples of nonlinear growth and nonlinear level 1 variance 80
Multivariate nonlinear models 82
Appendix 5.1 Nonlinear model estimation 83
6 Models for Repeated Measures Data 87
Models for repeated measures 87
A 2 level repeated measures model 88
A polynomial model example for adolescent growth and the
prediction of adult height 88
Modelling an autocorrelation structure at level 1 91
A growth model with autocorrelated residuals 92
Multivariate repeated measures models 94
Scaling across time 94
Cross over designs 94
7 Multilevel Models for Discrete Response Data 97
Models for discrete response data 97
Proportions as responses 98
Contents vii
An example from a survey of voting behaviour 101
Models for multiple response categories 104
An example of voting behaviour with multiple responses 106
Models for counts 106
Ordered responses 108
Mixed discrete continuous response models 109
Appendix 7.1 Differentials for some discrete response models 112
8 Multilevel Cross Classification 113
Random cross classifications 113
A basic cross classified model 116
Examination results for a cross classification of schools 117
Computational considerations 118
Interactions in cross classifications 119
Level 1 cross classifications 120
Cross unit membership models 120
Multivariate cross classified models 121
Appendix 8.1 Random cross classified data structures 123
9 Multilevel Event History Models 125
Event history models 125
Censoring 125
Hazard based models in continuous time 126
Parametric proportional hazard models 127
The semiparametric Cox model 127
Tied observations 129
Repeated measures proportional hazard models 129
Example using birth interval data 130
The discrete time (piecewise) proportional hazards model 132
Log duration models 132
Censored data 134
Infinite durations 136
Examples with birth interval data and children's play episodes 136
10 Multilevel Models with Measurement Errors 141
Errors of measurement 141
Measurement errors in level 1 variables 142
Measurement errors in higher level variables 143
A 2 level example with measurement error at both levels 145
Multivariate responses 147
Nonlinear models 147
Measurement errors for discrete explanatory variables 147
Appendix 10.1 Measurement errors 149
11 Software for Multilevel Modelling; Missing Data and Multilevel
Structural Equation Models 153
Software for multilevel analysis 153
Design issues 154
Missing data 155
viii Contents
Creating a completed data set 155
Multiple imputation and error corrections 156
Discrete variables with missing data 158
An example with missing data 158
Multilevel structural equation models 159
A factor analysis example using science test scores 161
Future developments 161
Appendix 11.1 Addresses for multilevel software packages 163
References 165
Author Index 171
Subject Index 173 |
| any_adam_object | 1 |
| author | Goldstein, Harvey 1939-2020 |
| author_GND | (DE-588)115041699 |
| author_facet | Goldstein, Harvey 1939-2020 |
| author_role | aut |
| author_sort | Goldstein, Harvey 1939-2020 |
| author_variant | h g hg |
| building | Verbundindex |
| bvnumber | BV010365952 |
| callnumber-first | H - Social Science |
| callnumber-label | H61 |
| callnumber-raw | H61.25 |
| callnumber-search | H61.25 |
| callnumber-sort | H 261.25 |
| callnumber-subject | H - Social Science |
| classification_rvk | MR 2100 QH 234 |
| ctrlnum | (OCoLC)832677531 (DE-599)BVBBV010365952 |
| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
| dewey-search | 519.5 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Soziologie Mathematik Wirtschaftswissenschaften |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV010365952 |
| illustrated | Illustrated |
| indexdate | 2025-04-03T08:01:06Z |
| institution | BVB |
| isbn | 0340595299 |
| language | English |
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| oclc_num | 832677531 |
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| physical | XIV, 178 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
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| series | Kendall's library of statistics |
| series2 | Kendall's library of statistics |
| spelling | Goldstein, Harvey 1939-2020 Verfasser (DE-588)115041699 aut Multilevel statistical models Harvey Goldstein 2. ed. London [u.a.] Arnold [u.a.] 1995 XIV, 178 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Kendall's library of statistics 3 1. Aufl. u.d.T.: Goldstein, Harvey: Multilevel models in educational and social research Multiniveau-analyse gtt Mathematisches Modell Sozialwissenschaften Educational tests and measurements Mathematical models Social sciences Mathematical models Social sciences Research Methodology Sozialwissenschaften (DE-588)4055916-6 gnd rswk-swf Statistische Analyse (DE-588)4116599-8 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Statistisches Modell (DE-588)4121722-6 gnd rswk-swf Pädagogik (DE-588)4044302-4 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Kontextanalyse (DE-588)4129240-6 gnd rswk-swf Sozialwissenschaften (DE-588)4055916-6 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Pädagogik (DE-588)4044302-4 s Kontextanalyse (DE-588)4129240-6 s Statistisches Modell (DE-588)4121722-6 s 1\p DE-604 2\p DE-604 3\p DE-604 Statistische Analyse (DE-588)4116599-8 s 4\p DE-604 Multivariate Analyse (DE-588)4040708-1 s 5\p DE-604 Frühere Aufl. u.d.T. Goldstein, Harvey Multilevel models in educational and social research Kendall's library of statistics 3 (DE-604)BV010165867 3 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006900544&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Goldstein, Harvey 1939-2020 Multilevel statistical models Kendall's library of statistics Multiniveau-analyse gtt Mathematisches Modell Sozialwissenschaften Educational tests and measurements Mathematical models Social sciences Mathematical models Social sciences Research Methodology Sozialwissenschaften (DE-588)4055916-6 gnd Statistische Analyse (DE-588)4116599-8 gnd Multivariate Analyse (DE-588)4040708-1 gnd Statistisches Modell (DE-588)4121722-6 gnd Pädagogik (DE-588)4044302-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd Kontextanalyse (DE-588)4129240-6 gnd |
| subject_GND | (DE-588)4055916-6 (DE-588)4116599-8 (DE-588)4040708-1 (DE-588)4121722-6 (DE-588)4044302-4 (DE-588)4114528-8 (DE-588)4129240-6 |
| title | Multilevel statistical models |
| title_auth | Multilevel statistical models |
| title_exact_search | Multilevel statistical models |
| title_full | Multilevel statistical models Harvey Goldstein |
| title_fullStr | Multilevel statistical models Harvey Goldstein |
| title_full_unstemmed | Multilevel statistical models Harvey Goldstein |
| title_old | Goldstein, Harvey Multilevel models in educational and social research |
| title_short | Multilevel statistical models |
| title_sort | multilevel statistical models |
| topic | Multiniveau-analyse gtt Mathematisches Modell Sozialwissenschaften Educational tests and measurements Mathematical models Social sciences Mathematical models Social sciences Research Methodology Sozialwissenschaften (DE-588)4055916-6 gnd Statistische Analyse (DE-588)4116599-8 gnd Multivariate Analyse (DE-588)4040708-1 gnd Statistisches Modell (DE-588)4121722-6 gnd Pädagogik (DE-588)4044302-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd Kontextanalyse (DE-588)4129240-6 gnd |
| topic_facet | Multiniveau-analyse Mathematisches Modell Sozialwissenschaften Educational tests and measurements Mathematical models Social sciences Mathematical models Social sciences Research Methodology Statistische Analyse Multivariate Analyse Statistisches Modell Pädagogik Kontextanalyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006900544&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV010165867 |
| work_keys_str_mv | AT goldsteinharvey multilevelstatisticalmodels |