Optimality of some class of incomplete block designs

A class of incomplete block designs called C-design, was considered by CALINSKI (1971), SAHA (1976), CERANKA (1983) and CERANKA, KOZLOWSKA (1983, 1984). In this paper we extend the theory of block designs having the C-property. We consider optimality of C-designs with respect to any criterion of a described form. DAS and KAGEYAMA (1991) considered a class of E-optimal proper efficiency balanced designs (strictly speaking, DAS and KAGEYAMA considered E-R-optimality of some class of block designs). Hence we consider E-R, A(R), D-R optimality of C-designs.