On construction of equireplicated constant block-sum designs

Ravindra Khattree

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 13, 4434-4450

Abstract: It is shown that in general, with arbitrary levels of quantitative treatment factor, the constant block-sum balanced incomplete block designs do not exist. I then provide, assuming it exists, a general approach to construct a constant block-sum equireplicated block design, possibly with unequally spaced treatments, from the incidence matrix of a block design with same parameters but without constant block-sum property. I illustrate the nuances of obtaining a solution or establishing its nonexistence via several examples of partially balanced incomplete block designs.

Date: 2022
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DOI: 10.1080/03610926.2020.1814816

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