Open Access
September, 1991 Trend-Free Block Designs for Varietal and Factorial Experiments
Meily Lin, A. M. Dean
Ann. Statist. 19(3): 1582-1596 (September, 1991). DOI: 10.1214/aos/1176348263


Some general results on the existence of trend-free and partially trend-free designs are given for both varietal and factorial experiments. In particular, trend-free properties of cyclic and generalized cyclic designs are investigated. It is shown that, for factorial experiments, certain designs which are not completely trend-free are nevertheless trend-free for estimating a subset of the main effect and interaction contrasts.


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Meily Lin. A. M. Dean. "Trend-Free Block Designs for Varietal and Factorial Experiments." Ann. Statist. 19 (3) 1582 - 1596, September, 1991.


Published: September, 1991
First available in Project Euclid: 12 April 2007

zbMATH: 0729.62067
MathSciNet: MR1126339
Digital Object Identifier: 10.1214/aos/1176348263

Primary: 62K10
Secondary: 62K15

Keywords: Cyclic design , factorial experiment , generalized cyclic design , odd-degree trend-free , orthogonal polynomial trend , trend-free

Rights: Copyright © 1991 Institute of Mathematical Statistics

Vol.19 • No. 3 • September, 1991
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