國立虎尾科技大學 |

A First Course in Linear Models and Design of Experiments

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A First Course in Linear Models and Design of Experiments/ by N. R. Mohan Madhyastha, S. Ravi, A. S. Praveena.
作者:	Madhyastha, N. R. Mohan.
其他作者:	Ravi, S.
面頁冊數:	XIV, 230 p. 26 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Statistics . -
電子資源:	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. - 1st ed. 2020. - XIV, 230 p. 26 illus.online resource.

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:

1253516
Statistics .

LC Class. No.: QA276-280

Dewey Class. No.: 519.5

A First Course in Linear Models and Design of Experiments
LDR:02807nam a22003855i 4500 001 1027310
003 DE-He213
005 20201113155109.0
007 cr nn 008mamaa
008 210318s2020 si | s |||| 0|eng d
020 $a 9789811586590 $9 978-981-15-8659-0
024 7 $a 10.1007/978-981-15-8659-0 $2 doi
035 $a 978-981-15-8659-0
050 4 $a QA276-280
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
100 1 $a Madhyastha, N. R. Mohan. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1323704
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.
250 $a 1st ed. 2020.
264 1 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2020.
300 $a XIV, 230 p. 26 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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 Statistics . $3 1253516
650 1 4 $a Statistical Theory and Methods. $3 671396
650 2 4 $a Statistics, general. $3 671463
700 1 $a Ravi, S. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1323705
700 1 $a Praveena, A. S. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1323706
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811586583
776 0 8 $i Printed edition: $z 9789811586606
856 4 0 $u https://doi.org/10.1007/978-981-15-8659-0
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)