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affine resolvable asso associate classes association scheme B-marks balanced incomplete block C.R. Rao called cells Chapter co-ordinates coefficients complete set configuration conic Consider constructed correspond cube defined denote difference set elements equal Example exist finite projective plane follows Galois field GD-design GF(s given gonal Graeco-Latin square group of order group-divisible design Hence hyperplanes incidence matrix INCOMPLETE BLOCK DESIGNS integer inversion ith associates L.Sq L.Sq’s of side Latin rectangle lines linked block type M. G. KENDALL number of varieties omit orthogonal array orthogonal L.Sq’s orthogonal Latin squares orthogonal set pair of varieties PARTIALLY BALANCED INCOMPLETE pencils permutations PG m,s points prime power projective geometry proof proved quadratic residue quadrics rational functions resolvable b.i.b.d. rows and columns second kind set of orthogonal Shrikhande squares of side statistical subsquare symbols symmetric b.i.b.d. t-flats Theorem transversal values varieties in common variety appears