Abstract
Whitely (1980) proposed the first conjunctive linka ge rule relating subtask probabilities to the total item response. De Boeck (1991) defines two main families of linking rules: (1) the compensatory rule, or weighted additive and (2) the conjunctive rule. The latter formally includes the (3) disjunctive rule that can also be formulated as a conjunctive rule of the errors. Afterwards, De Boeck (1993) suggested two mixed logistic linking rules: the partially conjunctive and the partially disjunctive rules. In this paper I present a combined logistic linking rule that summarizes the three classes of effects: conjunctive, disjunctive and compensatory. The analysis of multicollinearity among the three terms, in the two components case, allows the reduction of the partially conjunctive, the partially disjunctive and the conjunctive-disjunctive-compensatory rules into a more simple combined logistic rule.
