“…In the standard ordered probit (SORP) model of Equation (1), the thresholds ψ are assumed to be fixed across individuals, though this need not be the case (see Terza, 1985, Pudney and Shields, 2000, King et al, 2004, Kapteyn et al, 2007, Eluru et al, 2008, and King, 2009; see also Greene and Hensher, 2010, Chapter 7 for a discussion). Following these earlier studies, consider that the thresholds are parameterized as a non-linear function of a set of 1 The exclusion of a constant in the vector x q of Equation (1) is an innocuous normalization as long as all the intermediate thresholds (ψ 0 through ψ K-1 ) are left free for estimation.…”