If F is a full factorial design and D is a fraction of F , then for a givenmonomial ordering, the algebraic method gives a saturated polynomial basis for D which can be used for regression. Consider now an algebraic basis for the complementary fraction of D in F , built under the same monomial ordering. We show that the basis for the complementary fraction is the Alexander dual of the first bas...

I most marketing experiments, managerial decisions are not based directly on the estimates of the parameters but rather on functions of these estimates. For example, many managerial decisions are driven by whether or not a feature is valued more than the price the consumer will be asked to pay. In other cases, some managerial decisions are weighed more heavily than others. The standard measures...

1. Introduction Design of Experiments forms a fascinating branch of Statistics, which owes its origin to agricultural experiments. During 1930's to 1950's there have been major contributions from Fisher and his co-workers in the development of classical theory of design of experiments. Last five decades have witnessed a quantum jump in the development of this branch of Statistics. A careful gla...