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Measuring Agreement: Models, Methods, and Applications

Measuring Agreement: Models, Methods, and Applications

Pankaj K. Choudhary, Haikady N. Nagaraja

ISBN: 978-1-118-07858-7

Nov 2017

360 pages

In Stock



Presents statistical methodologies for analyzing common types of data from method comparison experiments and illustrates their applications through detailed case studies

Measuring Agreement: Models, Methods, and Applications features statistical evaluation of agreement between two or more methods of measurement of a variable with a primary focus on continuous data. The authors view the analysis of method comparison data as a two-step procedure where an adequate model for the data is found, and then inferential techniques are applied for appropriate functions of parameters of the model. The presentation is accessible to a wide audience and provides the necessary technical details and references. In addition, the authors present chapter-length explorations of data from paired measurements designs, repeated measurements designs, and multiple methods; data with covariates; and heteroscedastic, longitudinal, and categorical data. The book also:

• Strikes a balance between theory and applications

• Presents parametric as well as nonparametric methodologies

• Provides a concise introduction to Cohen’s kappa coefficient and other measures of agreement for binary and categorical data

• Discusses sample size determination for trials on measuring agreement

• Contains real-world case studies and exercises throughout

• Provides a supplemental website containing the related datasets and R code

Measuring Agreement: Models, Methods, and Applications is a resource for statisticians and biostatisticians engaged in data analysis, consultancy, and methodological research. It is a reference for clinical chemists, ecologists, and biomedical and other scientists who deal with development and validation of measurement methods. This book can also serve as a graduate-level text for students in statistics and biostatistics.


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


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


Chapter 3: A General Approach for Modeling and Inference

3.1 Preview

3.2 Mixed-Effects Models

3.3 A Large-Sample Approach to Inference

3.4 Modeling and Analysis of Method Comparison Data

3.5 Chapter Summary

3.6 Bibliographic Note


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


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


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


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


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


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


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


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


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



Dataset List