A model‐independent approach to the theory of experimental designs and a special discussion of bib. II. properties and construction of bib
Copyright policy )A model‐independent approach to the theory of experimental designs and a special discussion of bib. II. properties and construction of bib
AbstractIn addition to the first part we prove independently of the model some theorems on properties of balanced block designs. Then we propose nine methods of construction of BIB and prove theorems in connection with these methods. In a table we give a survey on block designs with v$25 and possibilities of their construction with these methods. Further follow theorems with the number of nonisomorphic BIB for some fixed v and k.
Statistical block designs, incidence matrix, dual design, Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.), General block designs in finite geometry, Combinatorial aspects of block designs, proper block design, completely balanced block design, Combinatorial aspects of finite geometries, model-independent approach, Orthogonal arrays, Latin squares, Room squares, methods of construction of BIB
Statistical block designs, incidence matrix, dual design, Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.), General block designs in finite geometry, Combinatorial aspects of block designs, proper block design, completely balanced block design, Combinatorial aspects of finite geometries, model-independent approach, Orthogonal arrays, Latin squares, Room squares, methods of construction of BIB
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