Abstract:
In this paper we establish the form of the optimal paired
comparison design when there are k attributes, each with
two levels, for testing for main effects, for main effects and
two factor interactions and for main effects and two and three
factor interactions. In all cases we assume that all pairs with
the same number of attributes different appear equally often.
In this setting the D and A optimal designs for main effects are
the foldover pairs and those for main effects and two factor
interactions have pairs in which about half the attributes are
different.
