D-OPTIMAL DESIGNS OF RESOLUTION V IN SOME CLASS OF FRACTIONAL 2^m FACTORIAL DESIGNS

抄録

This paper presents the determinant of the covariance matrix of the estimates of effects based on a fractional 2^m factorial (2^m-FF) design T of resolution V, where T is constructed by adding some restricted assemblies to an orthogonal array (O-array) or by removing some restricted ones from an O-array of index unity. In the class of 2^m-FF designs considered here, we also present Doptimal designs of resolution V for each m with 4_??_m_??_6 and for a range of practical values of N, where N denotes the total number of assemblies. In addition, these results are compared with the corresponding D-optimal designs of resolution V in the class of balanced fractional 2^m factorial designs.