Number of Equivalence Classes of a Parallel Flats Fraction for the 3" Factorial Design

  • Um, Jung-Koog (Department of Computer Science, Sogang University)
  • 발행 : 1981.12.01

초록

A parallel flats fraction for the $3^n$ factorial is symbolically written as $At=C=(C_1 C_2 \cdots C_f)$ where C is a rxf matrix and A is rxn matrix with rank r. It is shown that the set of all possible parallel flats fraction C for a given A and given size can be partitioned into equivalence classes. The number of those classes are enumerated in general.

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