A remark on the construction of designs for two-way elimination of heterogeneity

Leon S. Sterling; Nicholas Wormald

doi:10.1017/S0004972700025272

A remark on the construction of designs for two-way elimination of heterogeneity

Leon S. Sterling
, Nicholas Wormald

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

2 Citations (Scopus)

Abstract

A method of construction of designs with parameters v₁ = r₂ = p², r₁ = v₂ = p + 1, b = p(p+1), k = p which may be used for the two-way elimination of heterogeneity is discussed. These designs were first studied in connection with estimating tobacco mosaic virus. Our designs have the advantage that every treatment occurs at most once in a row or column. We give the designs explicitly for p = 3, 4, 5.

Original language	English
Pages (from-to)	383-388
Number of pages	6
Journal	Bulletin of the Australian Mathematical Society
Volume	14
Issue number	3
DOIs	https://doi.org/10.1017/S0004972700025272
Publication status	Published - 1976
Externally published	Yes

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title = "A remark on the construction of designs for two-way elimination of heterogeneity",

abstract = "A method of construction of designs with parameters v1 = r2 = p2, r1 = v2 = p + 1, b = p(p+1), k = p which may be used for the two-way elimination of heterogeneity is discussed. These designs were first studied in connection with estimating tobacco mosaic virus. Our designs have the advantage that every treatment occurs at most once in a row or column. We give the designs explicitly for p = 3, 4, 5.",

author = "Sterling, \{Leon S.\} and Nicholas Wormald",

year = "1976",

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language = "English",

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AU - Sterling, Leon S.

AU - Wormald, Nicholas

PY - 1976

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N2 - A method of construction of designs with parameters v1 = r2 = p2, r1 = v2 = p + 1, b = p(p+1), k = p which may be used for the two-way elimination of heterogeneity is discussed. These designs were first studied in connection with estimating tobacco mosaic virus. Our designs have the advantage that every treatment occurs at most once in a row or column. We give the designs explicitly for p = 3, 4, 5.

AB - A method of construction of designs with parameters v1 = r2 = p2, r1 = v2 = p + 1, b = p(p+1), k = p which may be used for the two-way elimination of heterogeneity is discussed. These designs were first studied in connection with estimating tobacco mosaic virus. Our designs have the advantage that every treatment occurs at most once in a row or column. We give the designs explicitly for p = 3, 4, 5.

UR - https://www.scopus.com/pages/publications/84916758559

U2 - 10.1017/S0004972700025272

DO - 10.1017/S0004972700025272

M3 - Article

AN - SCOPUS:84916758559

SN - 0004-9727

VL - 14

SP - 383

EP - 388

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

IS - 3

ER -

A remark on the construction of designs for two-way elimination of heterogeneity

Abstract

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