The Annals of Statistics

On Construction of Some Families of Generalized Youden Designs

Felipe Ruiz and Esther Seiden

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Abstract

Wald (1943) formulated criteria of optimality relative to experimental designs and proved that some known intuitively attractive designs are in fact optimal. Kiefer (1958), (1959), (1961), (1971) extended Wald's work on criteria of optimality and suggested some generalizations of experimental designs discussing their merits in respect to the formulated criteria. The purpose of this paper is to exhibit constructions of some families of Generalized Youden Designs (GYD) introduced by Kiefer. In his published work Kiefer gave some small examples of Generalized Youden Designs mainly for the purpose of illustrating the theory on criteria of optimality.

Article information

Source
Ann. Statist., Volume 2, Number 3 (1974), 503-519.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176342710

Digital Object Identifier
doi:10.1214/aos/1176342710

Mathematical Reviews number (MathSciNet)
MR362759

Zentralblatt MATH identifier
0288.62031

JSTOR
links.jstor.org

Subjects
Primary: 62K05: Optimal designs
Secondary: 05B05: Block designs [See also 51E05, 62K10]

Keywords
Youden designs $D$-optimality GF $(s)$ EG $(2, s)$.

Citation

Ruiz, Felipe; Seiden, Esther. On Construction of Some Families of Generalized Youden Designs. Ann. Statist. 2 (1974), no. 3, 503--519. doi:10.1214/aos/1176342710. https://projecteuclid.org/euclid.aos/1176342710


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