Journal ArticleDOI
Resistance of block designs
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In this paper, the authors extended the concept of resistance to general variance balanced block designs as well as universally optimal block designs with unequal block sizes, and constructed locally resistant balanced incomplete block designs of degree one.About:
This article is published in Journal of Statistical Planning and Inference.The article was published on 1991-02-01. It has received 2 citations till now. The article focuses on the topics: Block design & Optimal design.read more
Citations
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Efficiency of pair-wise treatment comparisons in incomplete block experiments subject to the loss of a block of observations
Philip Prescott,Ralph A. Mansson +1 more
TL;DR: In this paper, the robustness of incomplete block designs to the loss of all observations in a block is investigated in terms of the efficiency of the residual design, using a simple generalized inverse of the information matrix to identify the variances of the individual pair-wise treatment comparisons.
Structure resistant factorial designs
R. Srivastava,Rajender Parsad +1 more
TL;DR: In this paper, a series of structure resistant block designs with orthogonal factorial structure (OFS) and balance are provided. But these designs are resistant with respect to loss of all the observations pertaining to the treatment combinations involving a particular level of a given factor.
References
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Journal ArticleDOI
Reduction of associate classes for block designs and related combinatorial arrangements
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Resistant and Susceptible BIB Designs
A. S. Hedayat,P. W. M. John +1 more
TL;DR: In this article, the authors have characterized all locally and globally resistant designs of degree one in two different ways, and they have also shown that the property of being resistant depends not only on the parameters of the design, but also depends on the way the design has been constructed.
Journal ArticleDOI
Resistance of Balanced Incomplete Block Designs
TL;DR: In this paper, the authors studied the case of resistant balanced incomplete block designs to the removal of one treatment and showed that a necessary and sufficient condition for a BIBD to be resistant (that is, retain its variance balance) upon removal of a single treatment is that the two proper subdesigns created by this removal be BIBDs.
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Some characterization of locally resistant BIB designs of degree one
TL;DR: In this article, a necessary condition for the existence of affine α-resolvable locally resistant balanced incomplete block (LRBIB) designs of degree one was presented, and the condition yields a complete characterization of α-ResOLVable LRBIB designs for degree one.
Journal ArticleDOI
On the Theory of Resistant Block Designs
TL;DR: This paper has made an attempt to answer some of the problems of Hedayat and John (1974), which have many unsolved problems and in this process some related findings are presented.