ABSTRACT
Suppose that a binary response z, the two possible values of which are denoted by 0 and 1, has been observed from every statistical unit. “Failure” (0) and “success” (1) probabilities for the statistical unit j are denoted by
Pr(zj = 0) = 1− ωj and Pr(zj = 1) = ωj ∀j = 1, . . . , N. Usually success probability ωj of the jth statistical unit is assumed to depend on values (xj1, . . . , xjq) of some factors associated with the unit, that is,
Pr(zj = 1) = ωj = ω(xj1, . . . , xjq) ∀j = 1, . . . , N, where ω is a given function of the factors x1, . . . , xq.
