INTRODUCTION The Problem and the Perspective A Brief Review of the Literature Scope of the Present Textbook Robust Rotatable Designs Summary of the Work Done Concluding Remarks ROBUST FIRST-ORDER DESIGNS Introduction and Summary First-Order Correlated Model Robust First-Order Designs Robust First-Order Designs for Intra-Class Structure Robust First-Order Designs for Inter-Class Structure Robust First-Order Designs for Generalized Inter-Class Structure Robust First-Order Designs for Compound Symmetry Structure Robust First-Order Designs for Tri-Diagonal Structure Robust First-Order Designs for Auto Correlated Structure Concluding Remarks ROBUST SECOND-ORDER DESIGNS Introduction and Summary Second-Order Correlated Model Robust Second-Order Rotatability Robust Second-Order Designs for Intra-Class Structure Robust Second-Order Designs for Inter-Class Structure Robust Second-Order Designs for Compound Symmetry Structure Robust Second-Order Designs for Tri-Diagonal Structure Robust Second-Order Designs for Auto Correlated Structure Concluding Remarks LIFETIME IMPROVEMENT ROBUST FIRST-ORDER DESIGNS Introduction and Summary Location-Scale Lifetime First-Order Correlated Model Lifetime Improvement (LI) Robust First-Order Designs LI Robust First-Order Designs for Intra-Class Structure LI Robust First-Order Designs for Inter-Class Structure LI Robust First-Order Designs for Compound Symmetry Structure LI Robust First-Order Designs for Tri-Diagonal Structure LI Robust First-Order Designs for Autocorrelated Structure Concluding Remarks LIFETIME IMPROVEMENT ROBUST SECOND-ORDER DESIGNS Introduction and Summary Location-Scale Lifetime Second-Order Correlated Model Lifetime Improvement Robust Second-Order Rotatability LI Robust Second-Order Designs for Intra-Class Structure LI Robust Second-Order Designs for Inter-Class Structure LI Robust Second-Order Designs for Compound Symmetry Structure LI Robust Second-Order Designs for Tri-Diagonal Structure LI Robust Second-Order Designs for Autocorrelated Structure Concluding Remarks WEAKLY ROBUST ROTATABLE DESIGNS Introduction and Summary Deviation from Rotatability Weakly Robust First-Order Rotatable Designs Weakly Robust Second-Order Rotatable Designs Concluding Remarks Appendix ROBUST SECOND-ORDER SLOPE-ROTATABILITY Introduction and Summary Robust Second-Order Slope-Rotatability Conditions Robust Second-Order Slope-Rotatable Designs Modified Robust Second-Order Slope-Rotatability Conditions Robust Second-Order Slope-Rotatable Designs for Intra-Class Structure Robust Second-Order Modified Slope-Rotatable Designs for Intra-Class Structure Illustration Concluding Remarks ROBUST SECOND-ORDER SLOPE-ROTATABILITY OVER ALL DIRECTIONS Introduction and Summary Estimation of Derivatives Robust Second-Order Slope-Rotatability over All Directions Robust Second-Order Slope-Rotatable Designs over All Directions for Concluding Remarks ROBUST SECOND-ORDER SLOPE-ROTATABLE DESIGNS WITH MAXIMUM DIRECTIONAL VARIANCE AND D-OPTIMAL SLOPE Introduction and Summary Robust Balanced Designs Robust Second-Order Slope-Rotatability with Maximum Directional Variance Robust Second-Order Slope-Rotatable Designs with Maximum Directional Variance D-Optimal Robust Second-Order Slope-Rotatability D-Optimal Robust Second-Order Slope-Rotatability Conditions D-Optimal Robust Second-Order Slope-Rotatable Designs Conel Uding Remarks WEAKLY ROBUST SECOND-ORDER SLOPE-ROTATABLE DESIGNS Introduction and Summary Robust Second-Order Slope-Rotatability Measures Illustrations Concluding Remarks REGRESSION ANALYSIS FOR CORRELATED OBSERVATIONS Introduction and Summary Regression Model with Correlated Errors Estimation of Regression Parameters for Inference on Regression Parameters for Regression Diagnostics with Correlated Errors Index of Fit Illustration Location-Scale Lifetime Regression Model Estimation of Regression Parameters for Location-Scale Lifetime Model with Illustration Concluding Remarks APPLICATIONS OF CORRELATED REGRESSION ANALYSES Introduction and Summary Analysis of a Randomized Block Design with Correlated Errors A Reinforced Randomized Block Design with Correlated Errors POSITIVE DATA ANALYSES Introduction and Summary Log-Normal and Gamma Model with Constant Variance Log-Normal and Gamma Model with Non-Constant Variance Discrepancy in Regression Estimate between the Two Models for Constant Variance Discrepancy in Regression Estimates between the Two Models for Non-Constant Variance Discrepancy in Fitting between the Two Models for Non-Constant Variance Concluding Remarks APPLICATIONS OF LOG-NORMAL AND GAMMA MODELS Introduction and Summary Lifetime Data Analysis Based on Log-Normal Model Resistivity Data Analysis Based on Log-Normal and Gamma Model Multiple Responses Data Analysis Based on Gamma Model Human Biochemical Parameters Relationships Active Factors on Human Body Mass Index The Role of Iodine in the Thyroid Status of Mother and Her Neonates Effects of Wine Drinking on Liver Biochemical Parameters Risk Factors of Diabetes Mellitus to Pima India Mothers Personal Characteristics and Dietary Impacts on Plasma Concentrations Infant Mortality in India Concluding Remarks