Construction of some asymmetrical orthogonal arrays

On the construction of mixed orthogonal arrays of strength two

“…The result in Theorem 1 was, in a slightly different formulation, also obtained by Dey and Midha (2001)…”

“…By using this procedure, Wang and Wu (1991) constructed several families of mixed orthogonal arrays. Dey and Midha (1996) modified the construction of Wang and Wu (1991) and obtained the following result. If there exist an orthogonal array…”

“…In the following example, we obtain two new 96-run orthogonal arrays by using Dey and Midha's (1996) construction, and replacing several 2-symbol columns by 4-symbol columns.…”

“…Partition the L 8 (4 1 2 4 ) as [ 2 * 0 4 , L 8 (4 1 ), L 8 (2 3 )]. By sacrificing a 2-symbol column in L 8 (4 1 2 4 ), Dey and Midha (1996) [a 1 , a 2 , a 3 ] and D 12,12,2 = [0 12 , b 1 , b 2 , B]. If the 24-run array has at least two 2-symbol columns, we can permute the rows of L 24 such that L 24 = [b 1 * 0 2 , b 2 * 0 2 , L].…”

Small asymmetric fractional factorial plans for main effects and specified two-factor interactions

“…An OA(28, 13, 2 12 × 7, 2) was reported by Dey and Midha (1996). This is displayed (in transposed form) in Table 13.…”