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.
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