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August 2015 Optimal designs for the proportional interference model
Kang Li, Wei Zheng, Mingyao Ai
Ann. Statist. 43(4): 1596-1616 (August 2015). DOI: 10.1214/15-AOS1317

Abstract

The interference model has been widely used and studied in block experiments where the treatment for a particular plot has effects on its neighbor plots. In this paper, we study optimal circular designs for the proportional interference model, in which the neighbor effects of a treatment are proportional to its direct effect. Kiefer’s equivalence theorems for estimating both the direct and total treatment effects are developed with respect to the criteria of A, D, E and T. Parallel studies are carried out for the undirectional model, where the neighbor effects do not depend on whether they are from the left or right. Moreover, the connection between optimal designs for the directional and undiretional models is built. Importantly, one can easily develop a computer program for finding optimal designs based on these theorems.

Citation

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Kang Li. Wei Zheng. Mingyao Ai. "Optimal designs for the proportional interference model." Ann. Statist. 43 (4) 1596 - 1616, August 2015. https://doi.org/10.1214/15-AOS1317

Information

Received: 1 October 2014; Revised: 1 January 2015; Published: August 2015
First available in Project Euclid: 17 June 2015

zbMATH: 1331.62383
MathSciNet: MR3357872
Digital Object Identifier: 10.1214/15-AOS1317

Subjects:
Primary: 62K05
Secondary: 62J05

Rights: Copyright © 2015 Institute of Mathematical Statistics

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Vol.43 • No. 4 • August 2015
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