Projective properties of non-regular fractional factorial designs

(m,s)-optimality criterion is used for classification of nonregular fractional factorial designs. some properties of trace (c d) and trace (c 2 d) are used and studied in selecting and projecting nonregular designs. the proposed (m,s) criterion is easier to compute and it is also independent of the choice of orthonormal contrasts. the criterion is applied to study the projective properties of nonregular designs when only 24 runs are used for 23 factors. it can also be applied to two-level as well as multi-level fractional factorial designs. (m,s) criterion applied to examine designs constructed from 60 hadamard matrices of order 24 and obtain lists of designs that attain the maximum or high estimation capacity (ec) for various dimensions. © 2010 pakistan journal of statistics.