Block Design for Two-Level Factorial Experiments in Block Size Four
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Authors
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Anurag Rawat
ICAR-Indian Agricultural Statistics Research Institute, New Delhi
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Sukanta Dash
ICAR-Indian Agricultural Statistics Research Institute, New Delhi
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Rajender Parsad
ICAR-Indian Agricultural Statistics Research Institute, New Delhi
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Kaushal Kumar Yadav
ICAR-Indian Agricultural Statistics Research Institute, New Delhi
Keywords:
Block designs; n Factorial experiments; Confounding; Efficiency.Abstract
In experimental scenarios characterized by one source of heterogeneity within the experimental material, block designs offer significant value. Exploring the optimal replication(s) required for factorial experiments, conducted in blocks of size four has garnered significant attention among researchers. While experiments in blocks of size two have been extensively studied, there is growing recognition that experiments in blocks of size
four might offer greater utility in practical applications. Particularly, when estimating main effects and specific two-factor interactions from two-level factorial experiments conducted within blocks, a considerable number of replicates may be necessary. This article delves into the exploration of designs that minimize the required number of replications for factorial experiments conducted in blocks of size four. The article presents methodologies aimed at obtaining such designs, which hold promise for enhancing the efficiency and effectiveness of experimental investigations.
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References
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