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Measuring Agreement: Models, Methods, and Applications

ISBN: 978-1-118-07858-7
360 pages
November 2017
Measuring Agreement: Models, Methods, and Applications (1118078586) cover image

Description

Measuring Agreement Methodology and Applications successfully blends the currently available statistical methodologies for agreement evaluation in a unified, coherent, and lucid manner.
This up-to-date and comprehensive book describes the theoretical underpinnings of the methodologies and presents case studies using several real data sets to illustrate the application of the methodologies. A perfect reference for statisticians, biostatisticians, clinical chemists, and biomedical scientists
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Table of Contents

Preface

Chapter 1: Introduction

1.1 Preview

1.2 Notational conventions

1.3 Basic characteristics of a measurement method

1.4 Method comparison studies

1.5 Meaning of agreement

1.6 A measurement error model

1.7 Similarity versus agreement

1.8 A toy example

1.9 Controversies and our view

1.10 Concepts related to agreement

1.11 Role of confidence intervals and hypotheses testing

1.12 Common models for paired measurements data

1.13 The Bland Altman plot

1.14 Common regression approaches

1.15 Inappropriate use of common tests in method comparison studies

1.16 Key steps in the analysis of method comparison data

1.17 Chapter summary

1.18 Bibliographic note

Exercises

Chapter 2: Common Approaches for Measuring Agreement

2.1 Preview

2.2 Introduction

2.3 Mean squared deviation

2.4 Concordance correlation coefficient

2.5 A digression: Tolerance and prediction intervals

2.6 Lin’s probability criterion and Bland Altman criterion

2.7 Limits of agreement

2.8 Total deviation index and coverage probability

2.9 Inference on agreement measures

2.10 Chapter summary

2.11 Bibliographic note

Exercises

Chapter 3: A General Approach for Modeling and Inference

3.1 Preview

3.2 Mixed effects models

3.3 A large-sample approach for inference

3.4 Modeling and analysis of method comparison data

3.5 Chapter summary

3.6 Bibliographic note

Exercises

Chapter 4: Paired Measurements Data

4.1 Preview

4.2 Modeling of data

4.3 Evaluation of similarity and agreement

4.4 Case studies

4.5 Chapter summary

4.6 Technical details

4.7 Bibliographic note

Exercises

Chapter 5: Repeated Measurements Data

5.1 Preview

5.2 Introduction

5.3 Displaying data

5.4 Modeling of data

5.5 Evaluation of similarity and agreement

5.6 Evaluation of repeatability

5.7 Case studies

5.8 Chapter summary

5.9 Technical details

5.10 Bibliographic note

Exercises

Chapter 6: Heteroscedastic Data

6.1 Preview

6.2 Introduction

6.3 Variance function models

6.4 Repeated measurements data

6.5 Paired measurements data

6.6 Chapter summary

6.7 Technical details

6.8 Bibliographic note

Exercises

Chapter 7: Data from Multiple Methods

7.1 Preview

7.2 Introduction

7.3 Displaying data

7.4 Example datasets

7.5 Modeling unreplicated data

7.6 Modeling repeated measurements data

7.7 Model fitting and evaluation

7.8 Evaluation of similarity and agreement

7.9 Evaluation of repeatability

7.10 Case studies

7.11 Chapter summary

7.12 Technical details

7.13 Bibliographic note

Exercises

Chapter 8: Data with Covariates

8.1 Preview

8.2 Introduction

8.3 Modeling of data

8.4 Evaluation of similarity, agreement and repeatability

8.5 Case study

8.6 Chapter summary

8.7 Technical details

8.8 Bibliographic note

Exercises

Chapter 9: Longitudinal Data

9.1 Preview

9.2 Introduction

9.3 Modeling of data

9.4 Evaluation of similarity and agreement

9.5 Case study

9.6 Chapter summary

9.7 Technical details

9.8 Bibliographic note

Exercises

Chapter 10: A Nonparametric Approach

10.1 Preview

10.2 Introduction

10.3 The statistical functional approach

10.4 Evaluation of similarity and agreement

10.5 Case studies

10.6 Chapter summary

10.7 Technical details

10.8 Bibliographic note

Exercises

Chapter 11: Sample Size Determination

11.1 Preview

11.2 Introduction

11.3 The sample size methodology

11.4 Case study

11.5 Chapter summary

11.6 Bibliographic note

Exercises

Chapter 12: Categorical Data

12.1 Preview

12.2 Introduction

12.3 Experimental setups and examples

12.4 Cohen’s kappa coefficient for dichotomous data

12.5 Kappa type measures for more than two categories

12.6 Case studies

12.7 Models for exploring agreement

12.8 Discussion

12.9 Chapter summary

12.10 Bibliographic note

Exercises

References

Dataset List

Index

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Author Information

P. K. CHOUDHARY, PhD, is Professor in the Department of Mathematical Sciences at the University of Texas at Dallas. Currently, he is also the Associate Head of the department. His research interests include development of statistical methodology for biostatistical applications, and he has published extensively in the field of method comparison studies.

H. N. NAGARAJA, PhD, is Professor Emeritus at The Ohio State University where he has served in the Departments of Statistics and Internal Medicine and the Division of Biostatistics. He is a fellow of the American Statistical Association and the American Association for the Advancement of Science, and an elected member of the International Statistical Institute. His published works include Order Statistics, Third Edition (with H. A. David) and Records (with B. C. Arnold and N. Balakrishnan), both published by Wiley.

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