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