Block Designs: A Randomization Approach: Volume I: Analysis: 150 - Brossura

Calinski, Tadeusz

 
9780387985787: Block Designs: A Randomization Approach: Volume I: Analysis: 150
Brossura
ISBN 10: 0387985786 ISBN 13: 9780387985787
Casa editrice: Springer, 2013

Sinossi

In most of the literature on block designs, when considering the analysis of experimental results, it is assumed that the expected value of the response of an experimental unit is the sum of three separate components, a general mean parameter, a parameter measuring the effect of the treatment applied and a parameter measuring the effect of the block in which the experimental unit is located. In addition, it is usually assumed that the responses are uncorrelated, with the same variance. Adding to this the assumption of normal distribution of the responses, one obtains the so-called "normal-theory model" on which the usual analysis of variance is based. Referring to it, Scheffe (1959, p. 105) writes that "there is nothing in the 'normal-theory model' of the two-way layout . . . that reflects the increased accuracy possible by good blocking. " Moreover, according to him, such a model "is inappropriate to those randomized-blocks experiments where the 'errors' are caused mainly by differences among the experimental units rather than measurement errors. " In view of this opinion, he has devoted one of the chapters of his book (Chapter 9) to randomization models, being convinced that "an understanding of the nature of the error distribution generated by the physical act of randomization should be part of our knowledge of the basic theory of the analysis of variance.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

1 Introduction.- 2 Basic Terminology and Preliminaries.- 3 General Block Designs and Their Statistical Properties.- 4 Balance and Efficiency: Classification of Notions.- 5 Nested Block Designs and the Concept of.- Appendix A. Subspaces and Projections.- A.1 Linear vector subspaces.- A.2 Projection operators.- References.- Author Index.

Product Description

Book by Calinski Tadeusz Kageyama Sanpei

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2013
Lingua
Inglese
ISBN 10 
0387985786
ISBN 13 
9780387985787
Rilegatura
Copertina flessibile
Numero di pagine
332
Contatto del produttore
GPSR Kontakt
ProductSafety@springernature.com

Slevogtstraße 3-5
Heidelberg
69126
Germania

Altre edizioni note dello stesso titolo

9780387954707: Block Designs: A Randomization Approach: Volume Ii: Design: A Randomization Approach : Design: 002

Edizione in evidenza

ISBN 10:  0387954708 ISBN 13:  9780387954707
Casa editrice: Springer, 2013
Brossura