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The problem of confounding in two-factor experiments |
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| Authors: | Jay H. Beder |
| Affiliation: | Department of Mathematical Sciences , University of Wisconsin-Milwaukee , P.O. Box 413, Milwaukee, WI, 53201 |
| Abstract: | The problem of confounding in an axb experiment is studied without indexing the set of levels of each factor a priori by an algebraic object. General arithmetic restrictions on a and b are derived, leading to a'geometric reformulation of the problem when a or b is prime. This reformulation reduces to the problem of the existence of a generalized Hadamard matrix of specified order. |
| Keywords: | Blocking crossed blockings factorial decomposition factorial effect factorial experiment Hadamard matrix interaction roots of unity Tjur block structure uniform probability measure |