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Nonexistence of robust designs against presence of more than one outlier in a restricted class

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TLDR
In this paper, the authors show that the presence of one or more outliers in the observations affect inference procedure in statistical analysis and propose robust designs robust against presence of a single outlier.
Abstract
Presence of one or more outliers in the observations affect inference procedure in statistical analysis. Designs robust against presence of a single outlier can be found in the literature for both ...

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References
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Journal ArticleDOI

On Robust Designs

TL;DR: In this paper, the robustness of block designs for the problem of estimation of any full set of orthonormal varietal contrasts is examined, and an attempt has been made to examine their robustness against the presence of wild observations.
Journal ArticleDOI

Block Designs Robust Against the Presence of an Aberration in a Treatment-Control Setup

TL;DR: In this article, the authors considered the problem of finding designs insensitive to the presence of an outlier in a treatment-control block design setup for estimating the set of elementary contrasts between the effects of each test treatment and a control treatment.
Journal ArticleDOI

Designs Robust Against Aberrations

TL;DR: Substantial conditions are obtained for a design to be robust against aberrations in the sense of Box and Draper.
Journal ArticleDOI

Designs Robust Against the Presence of an Aberration in a Diallel Cross Design Setup

TL;DR: In this article, the authors find that complete and partial diallel cross designs are robust to the presence of an outlier in a block design setup for estimating a complete set of orthonormal contrasts among the effects of the general combining abilities of a set of parental lines.
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