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The book includes topics on the basic theory of linear models covering estimability, criteria for estimability, Gauss – Markov theorem, confidence interval estimation, linear hypotheses and likelihood ratio tests, the general theory of analysis of general block designs, complete and incomplete block designs, general row column designs with Latin square design and Youden square design as particular cases, symmetric factorial experiments, missing plot technique, analyses of covariance models, split plot and split block designs. Every chapter has examples to illustrate the theoretical results and exercises complementing the topics discussed. R codes are provided at the end of every chapter for at least one illustrative example from the chapter enabling readers to write similar codes for other examples and exercise.
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Edition | Availability |
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1
A First Course in Linear Models and Design of Experiments
15 December, 2020, Springer Verlag, Springer
Hardcover
in English
- First edition
9811586586 9789811586583
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Edition Notes
Presents theory of linear models and design of experiments in a single volume
Includes detailed proofs and conducts rigorous treatment of topics for better grasp
Aims at bridging the gap between the basic and advanced topics of the subject
Provides motivating exercises, solved examples, and R codes supplementing the examples
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Work Description
This textbook presents the basic concepts of linear models, design and analysis of experiments. With the rigorous treatment of topics and provision of detailed proofs, this book aims at bridging the gap between basic and advanced topics of the subject. Initial chapters of the book explain linear estimation in linear models and testing of linear hypotheses, and the later chapters apply this theory to the analysis of specific models in designing statistical experiments.
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- Created October 19, 2020
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February 28, 2023 | Edited by ImportBot | import existing book |
February 10, 2023 | Edited by BWBImportBot | Modified local IDs, amazon IDs, bwb IDs, source records |
December 5, 2022 | Edited by ImportBot | import existing book |
December 5, 2022 | Edited by ImportBot | import existing book |
October 19, 2020 | Created by Kaustubh Chakraborty | Added new book. |