Construction of Constant Block-Sum Designs through Confounded Factorials
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Authors
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Anurag Rawat
The Graduate School, ICAR-Indian Agricultural Research Institute, New Delhi
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Sukanta Dash
ICAR-Indian Agricultural Statistics Research Institute, New Delhi
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Med Ram Verma
ICAR-Indian Agricultural Statistics Research Institute, New Delhi
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Anil Kumar
Indian Council of Agricultural Research, Krishi Bhavan, New Delhi
Keywords:
Balanced Incomplete Block Design; Treatment contrast; Confounding; Factorial experiments.Abstract
This article focus on concept of constant block-sum designs through confounded factorial. Confounded factorial designs are shown to provide a rich
class of constant block-sum designs. The approach given by Khattree (2022) provides a direct and straightforward proof of the necessary condition
for existence of constant block-sum designs. Based on this the method of construction of constant block-sum designs through confounded factorial
given by Gupta (2022) is also mentioned. Some designs given by Gupta (2022) are estimated at different values, along with that some more designs
based on various effects confounded in different replications are presented to show existence and non-existence of constant block-sum designs in
different replications.
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References
Bansal, N. and Garg, D.K. (2022). Construction and existence of
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Khattree, R. (2022). On construction of equi-replicated constant block
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