Since the efficiency factors compare the designs to a (hypothetical) orthogonal design, values of 100% are not possible in this case. The OPTEX procedure includes facilities for examining the ...

Even when a parameter set (v, k, λ) satisfies the necessary conditions for the existence of a Balanced Incomplete Block (BIB) design, the actual design may not exist or its existence may be unknown.

Several important series of balanced incomplete block designs can be derived from orthogonal factorial designs. One is the series on balanced lattice of Yates (1936); refer to page 396 of Cochran and ...

While the analysis of variance test statistic F in a balanced incomplete block design without randomization is a constant under the Fisher model, i.e., a linear model without technical errors, and it ...