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Calculus for Factorial Arrangements

Name: Calculus for Factorial Arrangements
Brand: Springer-Verlag New York Inc.
SKU: 9780387971728
Price: 1147 CZK
Availability: InStock

Autor: Sudhir Gupta, Rahul Mukerjee

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer-Verlag New York Inc.

Dostupnost: Skladem u dodavatele

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Factorial designs were introduced and popularized by Fisher (1935). Among the early authors, Yates (...

Informace o knize

Autor

Sudhir Gupta, Rahul Mukerjee

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Stránek

126

EAN

9780387971728

ISBN

0387971726

Enbook ID

01385111

Vydavatel

Springer-Verlag New York Inc.

Hmotnost

248

Rozměry

170 x 242 x 8

Kompletní popis

Factorial designs were introduced and popularized by Fisher (1935). Among the early authors, Yates (1937) considered both symmetric and asymmetric factorial designs. Bose and Kishen (1940) and Bose (1947) developed a mathematical theory for symmetric priIi't&-powered factorials while Nair and Roo (1941, 1942, 1948) introduced and explored balanced confounded designs for the asymmetric case. Since then, over the last four decades, there has been a rapid growth of research in factorial designs and a considerable interest is still continuing. Kurkjian and Zelen (1962, 1963) introduced a tensor calculus for factorial arrangements which, as pointed out by Federer (1980), represents a powerful statistical analytic tool in the context of factorial designs. Kurkjian and Zelen (1963) gave the analysis of block designs using the calculus and Zelen and Federer (1964) applied it to the analysis of designs with two-way elimination of heterogeneity. Zelen and Federer (1965) used the calculus for the analysis of designs having several classifications with unequal replications, no empty cells and with all the interactions present. Federer and Zelen (1966) considered applications of the calculus for factorial experiments when the treatments are not all equally replicated, and Paik and Federer (1974) provided extensions to when some of the treatment combinations are not included in the experiment. The calculus, which involves the use of Kronecker products of matrices, is extremely helpful in deriving characterizations, in a compact form, for various important features like balance and orthogonality in a general multifactor setting.

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