αn -designs

J. A. John; K. Ruggiero; E. R. Williams

doi:10.1111/1467-842X.00247

α_n -designs

J. A. John^*
, K. Ruggiero
, E. R. Williams

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

This paper defines a broad class of resolvable incomplete block designs called α_n-designs, of which the original α-designs are a special case with n = 1. The statistical and mathematical properties of α-designs extend naturally to these n-dimensional designs. They are a flexible class of resolvable designs appropriate for use in factorial experiments, in constructing efficient t-latinized resolvable block designs, and for enhancing the existing class of α-designs for a single treatment factor.

Original language	English
Pages (from-to)	457-465
Number of pages	9
Journal	Australian and New Zealand Journal of Statistics
Volume	44
Issue number	4
DOIs	https://doi.org/10.1111/1467-842X.00247
Publication status	Published - Dec 2002
Externally published	Yes

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title = "αn -designs",

abstract = "This paper defines a broad class of resolvable incomplete block designs called αn-designs, of which the original α-designs are a special case with n = 1. The statistical and mathematical properties of α-designs extend naturally to these n-dimensional designs. They are a flexible class of resolvable designs appropriate for use in factorial experiments, in constructing efficient t-latinized resolvable block designs, and for enhancing the existing class of α-designs for a single treatment factor.",

keywords = "Average efficiency factor, Design generation algorithm, Factorial experiments, Lattice designs, t-latinized designs, α-designs",

author = "John, \{J. A.\} and K. Ruggiero and Williams, \{E. R.\}",

year = "2002",

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journal = "Australian and New Zealand Journal of Statistics",

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TY - JOUR

T1 - αn -designs

AU - John, J. A.

AU - Ruggiero, K.

AU - Williams, E. R.

PY - 2002/12

Y1 - 2002/12

N2 - This paper defines a broad class of resolvable incomplete block designs called αn-designs, of which the original α-designs are a special case with n = 1. The statistical and mathematical properties of α-designs extend naturally to these n-dimensional designs. They are a flexible class of resolvable designs appropriate for use in factorial experiments, in constructing efficient t-latinized resolvable block designs, and for enhancing the existing class of α-designs for a single treatment factor.

AB - This paper defines a broad class of resolvable incomplete block designs called αn-designs, of which the original α-designs are a special case with n = 1. The statistical and mathematical properties of α-designs extend naturally to these n-dimensional designs. They are a flexible class of resolvable designs appropriate for use in factorial experiments, in constructing efficient t-latinized resolvable block designs, and for enhancing the existing class of α-designs for a single treatment factor.

KW - Average efficiency factor

KW - Design generation algorithm

KW - Factorial experiments

KW - Lattice designs

KW - t-latinized designs

KW - α-designs

UR - https://www.scopus.com/pages/publications/0036889896

U2 - 10.1111/1467-842X.00247

DO - 10.1111/1467-842X.00247

M3 - Article

SN - 1369-1473

VL - 44

SP - 457

EP - 465

JO - Australian and New Zealand Journal of Statistics

JF - Australian and New Zealand Journal of Statistics

IS - 4

ER -

α_n -designs

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