000			02279nam a22002775i 4500
001			91218
005			20231026103816.0
010			_a978-3-031-08176-7 _dcompra
090			_a91218
100			_a20231023d2022 k||y0pory50 ba
101	0		_aeng
102			_aCH
200	1		_aLinear models and design _bDocumento eletrónico _fby Jay H. Beder
210			_aCham _cSpringer International Publishing _cSpringer _d2022
215			_aXXI, 343 p. _cil.
303			_aThis 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.
606			_aStatistics
606			_aExperimental design
606			_aBiometry
680			_aQA276-280
700	1		_aBeder _bJay H.
801		0	_aPT _gRPC
856	4		_uhttps://doi.org/10.1007/978-3-031-08176-7
942			_2lcc _cF _n0