An alternative analysis method to the conventional analysis of variance is proposed for the problem of identifying active factors in two-level orthogonal arrays. The sums of squares calculated are arranged in ascending order, as S(1)≤S(2)≤S(3)≤・・・≤S(n). Assuming the least sum of squares, S(1)is inactive, i.e.having zero effect, the next candidate of inactive sum of squares, S(2)is tested. The following sums of squares, S(i)'s, i=3, ・・・, n, are successively tested by the pooled inactive sums of squares, on the condition that S(2), ・・・, S(i-1)are not significant at the preceding tests. The significant level of each test α
s is set the same value and the overall risk of the first kind of the whole procedure α
T is controlled to 1%, 5%, 10% or 20%. The critical value at each step empirically obtained for L
8, L
12,L
16 orthogonal designs by the Monte Carlo method. The critical values are validated by Monte Carlo experiments. The proposed method in illustrated with some examples.
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