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Some Configurations in Finite Projective Spaces and Partially Balanced Incomplete Block Designs

  • D. K. Ray-Chaudhuri (a1)

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Using the methods developed in (2 and 3), in this paper we study some properties of the configuration of generators and points of a cone in an w-dimensional finite projective space. The configuration of secants and external points of a quadric in a finite plane of even characteristic is also studied. I t is shown that these configurations lead to several series of partially balanced incomplete block (PBIB) designs. PBIB designs are defined in Bose and Shimamoto (1). A PBIB design with m associate classes is an arrangement of v treatments in b blocks such that.

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References

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1. Bose, R. C. and Shimamoto, T., Classification and analysis of partially balanced incomplete block designs with two associate classes, J. Amer. Statist. Ass., 47 (1952), 151184.
2. Ray-Chaudhuri, D. K., Some results on quadrics infinite projective geometry based on galois fields, Can. J. Math., 14 (1962), 129138.
3. Ray, D. K.-Chaudhuri, Application of the geometry of quadrics for constructing PBIB designs, Ann. Math. Statistics, 33 (1962), 11751186.
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Some Configurations in Finite Projective Spaces and Partially Balanced Incomplete Block Designs

  • D. K. Ray-Chaudhuri (a1)

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