Statistical evaluation of measurement errors: design and analysis of reliability studies
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Arnold
2004
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 216 S. graph. Darst. |
| ISBN: | 0340760702 |
Internformat
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| 245 | 1 | 0 | |a Statistical evaluation of measurement errors |b design and analysis of reliability studies |c Graham Dunn |
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Datensatz im Suchindex
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| adam_text | Contents
Preface vii
Acknowledgements viii
1 Setting the scene 1
1.1 Introduction I
1.2 Statistical models for physical measurements 3
1.3 Latent variable models 5
1.4 Psychometric tests: the factor analysis model 8
1.5 Precision, bias and accuracy 10
1.6 Reproducibility and generalizability 12
1.7 More on the coefficient of reliability 15
1.8 The rest of the book 18
2 Sources of variation 19
2.1 A simple replication study 19
2.2 Intra class correlation 21
2.3 Expected mean squares 23
2.4 Maximum likelihood estimators 25
2.5 An inter rater reliability study 26
2.5.1 Raters random 26
2.5.2 Raters fixed 29
2.5.3 Making sense of interactions 30
2.6 Sampling distributions 34
2.6.1 Distribution of an estimate of a variance from replicate
measurements from a single subject 35
2.6.2 Variance components from the one way ANOVA 36
2.6.3 Variance components from the two way ANOVA 38
2.7 The jack knife and bootstrap 40
2.8 Coping with missing data 44
3 Method comparison 1: paired observations 46
3.1 Introduction: what is the purpose of a method comparison study? 46
3.2 Preliminary numerical and graphical summaries 51
3.3 Indices of concordance or agreement 58
3.4 Regression with measurement error: the identifiability problem 63
vi Contents
3.5 Properties of the standard (X) (e.g. precision or reliability) known 65
3.6 Grubbs estimators: when /3 assumed to be 1 67
3.7 Fitting a line through the origin (a = 0) 70
3.8 Orthogonal regression: {=allai) assumed to be known 71
3.9 Equation error 74
3.10 Software for covariance structure modelling 77
3.11 Conclusions and recommendations 78
4 Method comparison 2: more informative designs 81
4.1 Introduction 81
4.2 The use of instrumental variables 81
4.3 Choice of instrumental variable 87
4.4 Three methods: no replication 88
4.5 Model fitting and inference 89
4.6 Testing hypotheses (constraints) 93
4.7 Four or more methods: no replication 95
4.8 Heteroscedastic error variances 97
4.9 Replication 102
4.10 Equation errors (subject specific biases or random matrix effects) 112
4.11 Inter laboratory precision studies 115
4.12 Population heterogeneity 123
4.13 Data missing by design 130
4.14 Multitrait multimethod designs 137
4.15 Longitudinal data 141
4.16 Summary 143
5 Methods for categorical (binary) data 144
5.1 Introduction 144
5.2 Tests of relative bias 144
5.3 Association, concordance and reliability 147
5.4 ANOVA models for categorical measurements 149
5.5 ANOVA models for more than two raters 151
5.6 Latent class models 155
5.7 Latent class models with three or more test methods 156
5.8 The implications of conditional (local) dependencies 165
5.9 Use of instrumental variables 170
5.10 Data missing by design 174
5.11 Summary 177
Appendix 1: EQS programs (Chapter 3) 178
Appendix 2: Selected EQS programs (Chapter 4) 182
Appendix 3: Selected gllamm programs 185
Appendix 4: Selected Mplus programs 186
Appendix 5: Selected Mplus runs to fit latent class models 188
Appendix 6: Web based resources and software packages 190
References and select bibliography 92
Index 213
|
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| indexdate | 2024-07-09T19:43:39Z |
| institution | BVB |
| isbn | 0340760702 |
| language | English |
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| spelling | Dunn, Graham 1949- Verfasser (DE-588)133250911 aut Statistical evaluation of measurement errors design and analysis of reliability studies Graham Dunn 2. ed. London Arnold 2004 VI, 216 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Foutenleer gtt Meetfouten gtt Statistiek gtt Statistik Error analysis (Mathematics) Messfehler (DE-588)4133270-2 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Messfehler (DE-588)4133270-2 s Statistik (DE-588)4056995-0 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012041042&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dunn, Graham 1949- Statistical evaluation of measurement errors design and analysis of reliability studies Foutenleer gtt Meetfouten gtt Statistiek gtt Statistik Error analysis (Mathematics) Messfehler (DE-588)4133270-2 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4133270-2 (DE-588)4056995-0 |
| title | Statistical evaluation of measurement errors design and analysis of reliability studies |
| title_auth | Statistical evaluation of measurement errors design and analysis of reliability studies |
| title_exact_search | Statistical evaluation of measurement errors design and analysis of reliability studies |
| title_full | Statistical evaluation of measurement errors design and analysis of reliability studies Graham Dunn |
| title_fullStr | Statistical evaluation of measurement errors design and analysis of reliability studies Graham Dunn |
| title_full_unstemmed | Statistical evaluation of measurement errors design and analysis of reliability studies Graham Dunn |
| title_short | Statistical evaluation of measurement errors |
| title_sort | statistical evaluation of measurement errors design and analysis of reliability studies |
| title_sub | design and analysis of reliability studies |
| topic | Foutenleer gtt Meetfouten gtt Statistiek gtt Statistik Error analysis (Mathematics) Messfehler (DE-588)4133270-2 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Foutenleer Meetfouten Statistiek Statistik Error analysis (Mathematics) Messfehler |
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