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Linear Models and Design
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Catalogue Information
Field name
Details
Dewey Class
519.5
Title
Linear Models and Design ( EBook/) / by Jay H. Beder.
Author
Beder, Jay H.
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2022.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2022.
Physical Details
XXI, 343 p. 15 illus. : online resource.
ISBN
9783031081767
Summary Note
This book is designed as a textbook for graduate students and as a resource for researchers seeking a thorough mathematical treatment of its subject. It develops the main results of regression and the analysis of variance, as well as the central results on confounded and fractional factorial experiments. Matrix theory is deemphasized; its role is taken instead by the theory of linear transformations between vector spaces. The text gives a carefully paced and unified presentation of two topics, linear models and experimental design. Students are assumed to have a solid background in linear algebra, basic knowledge of regression and analysis of variance, and some exposure to experimental design, and should be comfortable with reading and constructing mathematical proofs. The book leads students into the mathematical theory, including many examples both for motivation and for illustration. Over 130 exercises of varying difficulty are included. An extensive mathematical appendix and a detailed index make the text especially accessible. Linear Models and Design can serve as a textbook for a year-long course in the topics covered, or for a one-semester course in either linear model theory or experimental design. It prepares students for more advanced topics in the field, and assists in developing a thoughtful approach to the existing literature. It includes a guide to terminology as well as discussion of the history and development of ideas, and offers a fresh perspective on the fundamental concepts and results of the subject.:
Mode of acces to digital resource
Digital reproduction.-
Cham :
Springer International Publishing,
2022. -
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-031-08176-7
Links to Related Works
Subject References:
Biometry
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Biostatistics
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Design of Experiments
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Experimental design
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Statistical Theory and Methods
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Statistics
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Authors:
author
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Beder, Jay H.
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Corporate Authors:
SpringerLink (Online service)
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Classification:
519.5
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