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Repeated Measurements and Cross-Over Designs

Book Description

An introduction to state-of-the-art experimental design approaches to better understand and interpret repeated measurement data in cross-over designs.

Repeated Measurements and Cross-Over Designs:

  • Features the close tie between the design, analysis, and presentation of results

  • Presents principles and rules that apply very generally to most areas of research, such as clinical trials, agricultural investigations, industrial procedures, quality control procedures, and epidemiological studies

  • Includes many practical examples, such as PK/PD studies in the pharmaceutical industry, k-sample and one sample repeated measurement designs for psychological studies, and residual effects of different treatments in controlling conditions such as asthma, blood pressure, and diabetes.

  • Utilizes SAS(R) software to draw necessary inferences. All SAS output and data sets are available via the book's related website.

  • This book is ideal for a broad audience including statisticians in pre-clinical research, researchers in psychology, sociology, politics, marketing, and engineering.

    Table of Contents

    1. Cover
    2. Title page
    3. Copyright page
    4. Dedication
    5. Preface
    6. Chapter 1: Introduction
      1. 1.1 Introduction
      2. 1.2 One-Sample RMD
      3. 1.3 k-Sample RMD
      4. 1.4 Split-Plot Designs
      5. 1.5 Growth Curves
      6. 1.6 Cross-Over Designs
      7. 1.7 TWO-PERIOD CROSS-OVER DESIGNS
      8. 1.8 Modifications in Cross-Over Designs
      9. 1.9 NONPARAMETRIC METHODS
      10. References
    7. Chapter 2: One-Sample Repeated Measurement Designs
      1. 2.1 INTRODUCTION
      2. 2.2 Testing for Sphericity Condition
      3. 2.3 Univariate ANOVA for One-Sample RMD
      4. 2.4 Multivariate Methods for One-Sample RMD
      5. 2.5 UNIVARIATE ANOVA UNDER NONSPHERICITY CONDITION
      6. 2.6 Numerical Example
      7. 2.7 Concordance Correlation Coefficient
      8. 2.8 Multiresponse Concordance Correlation Coefficient
      9. 2.9 Repeated Measurements with Binary Response
      10. References
    8. Chapter 3: k-Sample Repeated Measurements Design
      1. 3.1 INTRODUCTION
      2. 3.2 Test for the Equality of Dispersion Matrices and Sphericity Condition Of k-Dispersion Matrices
      3. 3.3 Univariate ANOVA for k-Sample RMD
      4. 3.4 Multivariate Methods for k-Sample RMD
      5. 3.5 Numerical Example
      6. 3.6 Multivariate Methods with Unequal Dispersion Matrices
      7. 3.7 Analysis with Ordered Categorical Response
      8. References
    9. Chapter 4: Growth Curve Models
      1. 4.1 INTRODUCTION
      2. 4.2 Sigmoidal Curves
      3. 4.3 Analysis of Mixed Models
      4. 4.4 Simple Linear Growth Curve Model
      5. 4.5 Nonlinear Growth Curve Model
      6. 4.6 Numerical Example
      7. 4.7 Joint Action Models
      8. References
    10. Chapter 5: Cross-Over Designs without Residual Effects
      1. 5.1 INTRODUCTION
      2. 5.2 Fixed Effects Analysis of CODWOR
      3. 5.3 Connectedness in CODWOR
      4. 5.4 Orthogonality in CODWOR
      5. 5.5 Latin Square Designs
      6. 5.6 Youden Square Design and Generalization
      7. 5.7 F-Squares
      8. 5.8 Lattice Square Designs
      9. 5.9 Analysis of CODWOR when the Units Effects are Random
      10. 5.10 Numerical Example
      11. 5.11 Orthogonal Latin Squares
      12. References
    11. Chapter 6: Cross-Over Designs with Residual Effects
      1. 6.1 INTRODUCTION
      2. 6.2 Analysis of CODWR
      3. 6.3 Bred
      4. 6.4 PBCOD (m)
      5. 6.5 Numerical Example
      6. 6.6 Analysis With Unit (or Subject) Effects Random
      7. 6.7 Concluding Remarks
      8. References
    12. Chapter 7: Two-Period Cross-Over Designs with Residual Effects
      1. 7.1 INTRODUCTION
      2. 7.2 Two-Period, Two-Treatment CODWR Analysis: Parametric Methods
      3. 7.3 Two-Period, Two-Treatment CODWR Analysis: NonParametric Methods
      4. 7.4 Two-Period t Treatment Cross-Over Design
      5. 7.5 Numerical Examples
      6. References
    13. Chapter 8: Other Cross-Over Designs with Residual Effects
      1. 8.1 INTRODUCTION
      2. 8.2 Extra-Period Designs
      3. 8.3 Residual Effects Proportional To direct Effects
      4. 8.4 Undiminished Residual Effects Designs
      5. 8.5 Treatment Balanced Residual Effects Designs
      6. 8.6 A General Linear Model for CODWR
      7. 8.7 Nested Design
      8. 8.8 Split-Plot Type CODWR
      9. 8.9 CODWR in Circular Arrangement
      10. 8.10 Numerical Examples
      11. References
    14. Chapter 9: Some Constructions of Cross-Over Designs
      1. 9.1 INTRODUCTION
      2. 9.2 GALOIS FIELDS
      3. 9.3 Generalized Youden Designs
      4. 9.4 Williams’ Balanced Residual Effects Designs
      5. 9.5 Other Balanced Residual Effects Designs
      6. 9.6 Combinatorially Overall Balanced Residual Effects Designs
      7. 9.7 Construction of Treatment Balanced Residual Effects Designs
      8. 9.8 Some Construction of PBCOD (m)
      9. 9.9 Construction of Complete Set of Mols and Patterson’s Bred
      10. 9.10 Balanced Circular Arrangements
      11. 9.11 CONCLUDING REMARKS
      12. References
      13. Further Reading
    15. Index
    16. Eula