東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

A first course in linear models and ...

Madhyastha, N. R. Mohan.

Linked to FindBook

Google Book

Amazon

博客來

A first course in linear models and design of experiments

Record Type:	Electronic resources : Monograph/item
Title/Author:	A first course in linear models and design of experiments/ by N. R. Mohan Madhyastha, S. Ravi, A. S. Praveena.
Author:	Madhyastha, N. R. Mohan.
other author:	Ravi, S.
Published:	Singapore :Springer Singapore : : 2020.,
Description:	xiv, 230 p. :ill., digital ;24 cm.
[NT 15003449]:	Linear Estimation -- Linear Hypotheses and Their Tests -- Block Designs -- Row-Column Designs -- Factorial Experiments -- Analysis of Covariance -- Missing Plot Technique -- Split Plot Design.
Contained By:	Springer Nature eBook
Subject:	Linear models (Statistics) -
Online resource:	https://doi.org/10.1007/978-981-15-8659-0
ISBN:	9789811586590

A first course in linear models and design of experiments
Madhyastha, N. R. Mohan.

A first course in linear models and design of experiments[electronic resource] /by N. R. Mohan Madhyastha, S. Ravi, A. S. Praveena. - Singapore :Springer Singapore :2020. - xiv, 230 p. :ill., digital ;24 cm.

Linear Estimation -- Linear Hypotheses and Their Tests -- Block Designs -- Row-Column Designs -- Factorial Experiments -- Analysis of Covariance -- Missing Plot Technique -- Split Plot Design.

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. 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.

ISBN: 9789811586590

Standard No.: 10.1007/978-981-15-8659-0doiSubjects--Topical Terms:

533190
Linear models (Statistics)

LC Class. No.: QA279

Dewey Class. No.: 519.5

A first course in linear models and design of experiments
LDR:02494nmm a2200325 a 4500 001 2257153
003 DE-He213
005 20210312105008.0
006 m d
007 cr nn 008maaau
008 220420s2020 si s 0 eng d
020 $a 9789811586590 $q (electronic bk.)
020 $a 9789811586583 $q (paper)
024 7 $a 10.1007/978-981-15-8659-0 $2 doi
035 $a 978-981-15-8659-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA279
072 7 $a PBT $2 bicssc
072 7 $a MAT029000 $2 bisacsh
072 7 $a PBT $2 thema
082 0 4 $a 519.5 $2 23
090 $a QA279 $b .M181 2020
100 1 $a Madhyastha, N. R. Mohan. $3 3528104
245 1 2 $a A first course in linear models and design of experiments $h [electronic resource] / $c by N. R. Mohan Madhyastha, S. Ravi, A. S. Praveena.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2020.
300 $a xiv, 230 p. : $b ill., digital ; $c 24 cm.
505 0 $a Linear Estimation -- Linear Hypotheses and Their Tests -- Block Designs -- Row-Column Designs -- Factorial Experiments -- Analysis of Covariance -- Missing Plot Technique -- Split Plot Design.
520 $a 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. 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.
650 0 $a Linear models (Statistics) $3 533190
650 0 $a Experimental design. $3 524737
650 1 4 $a Statistical Theory and Methods. $3 891074
650 2 4 $a Statistics, general. $3 896933
700 1 $a Ravi, S. $3 3528105
700 1 $a Praveena, A. S. $3 3528106
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-15-8659-0
950 $a Mathematics and Statistics (SpringerNature-11649)