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Ebook: The Optimal Design of Blocked and Split-Plot Experiments

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27.01.2024
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This book provides a comprehensive treatment of the design of blocked and split-plot experiments, two types of experiments that are extremely popular in practice. The traget audience includes applied statisticians and academics. The optial design approach advocated in the book will help applied statisticians from industry, medicine, agriculture, chemistry, and many other fields of study in setting up tailor-made experiments. This is illustrated by a number of examples. The book also contains a theoretical background, a thorough review of the recent work in the area of blocked and split-plot experiments, and a number of interesting theoretical results.




This book provides a comprehensive treatment of the design of blocked and split-plot experiments, two types of experiments that are extremely popular in practice. The traget audience includes applied statisticians and academics. The optial design approach advocated in the book will help applied statisticians from industry, medicine, agriculture, chemistry, and many other fields of study in setting up tailor-made experiments. This is illustrated by a number of examples. The book also contains a theoretical background, a thorough review of the recent work in the area of blocked and split-plot experiments, and a number of interesting theoretical results.




This book provides a comprehensive treatment of the design of blocked and split-plot experiments, two types of experiments that are extremely popular in practice. The traget audience includes applied statisticians and academics. The optial design approach advocated in the book will help applied statisticians from industry, medicine, agriculture, chemistry, and many other fields of study in setting up tailor-made experiments. This is illustrated by a number of examples. The book also contains a theoretical background, a thorough review of the recent work in the area of blocked and split-plot experiments, and a number of interesting theoretical results.


Content:
Front Matter....Pages i-xiii
Introduction....Pages 1-46
Advanced Topics in Optimal Design....Pages 47-69
Compound Symmetric Error Structure....Pages 71-101
Optimal Designs in the Presence of Random Block Effects....Pages 103-138
Optimal Designs for Quadratic Regression on One Variable and Blocks of Size Two....Pages 139-154
Constrained Split-Plot Designs....Pages 155-183
Optimal Split-Plot Designs in the Presence of Hard-to-Change Factors....Pages 185-200
Optimal Split-Plot Designs....Pages 201-216
Two-Level Factorial and Fractional Factorial Designs....Pages 217-228
Summary and Future Research....Pages 229-232
Back Matter....Pages 233-246


This book provides a comprehensive treatment of the design of blocked and split-plot experiments, two types of experiments that are extremely popular in practice. The traget audience includes applied statisticians and academics. The optial design approach advocated in the book will help applied statisticians from industry, medicine, agriculture, chemistry, and many other fields of study in setting up tailor-made experiments. This is illustrated by a number of examples. The book also contains a theoretical background, a thorough review of the recent work in the area of blocked and split-plot experiments, and a number of interesting theoretical results.


Content:
Front Matter....Pages i-xiii
Introduction....Pages 1-46
Advanced Topics in Optimal Design....Pages 47-69
Compound Symmetric Error Structure....Pages 71-101
Optimal Designs in the Presence of Random Block Effects....Pages 103-138
Optimal Designs for Quadratic Regression on One Variable and Blocks of Size Two....Pages 139-154
Constrained Split-Plot Designs....Pages 155-183
Optimal Split-Plot Designs in the Presence of Hard-to-Change Factors....Pages 185-200
Optimal Split-Plot Designs....Pages 201-216
Two-Level Factorial and Fractional Factorial Designs....Pages 217-228
Summary and Future Research....Pages 229-232
Back Matter....Pages 233-246
....
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