Balanced E-optimal designs of resolution III for the \(2^ m\times 3^ n\) series (Q1062399)

G-balanced arrays and G-balanced designs have been introduced and studied by the authors, Statistics and probability: Essays in Honor of C. R. Rao, 125-140 (1982; Zbl 0484.62084). The same techniques are used here, to obtain the inverse of the information matrix of balanced resolution III designs for the \(2^ m\times 3^ n\) series. E-optimal balanced designs of resolution III are constructed for \(2^ 3\times 3\), \(2^ 4\times 3\), \(2^ 2\times 3^ 2\) and \(2^ 3\times 3^ 2\), for various numbers of runs in the practical range.