We propose an alternative ('dual regression') to the quantile regression process for the global estimation of conditional distribution functions under minimal assumptions. Dual regression provides all the interpretational power of the quantile regression process while largely avoiding the need...

This paper (i) formalizes conditions under which a population distribution of categorical responses to attitudinal questions (ѩtemsҩ has a scale representation; (ii) develops tests for whether a particular sample of item responses is consistent with a scale representation; (iii) develops...

We model attitudes as latent variables that induce stochastic dominance relations in (item) responses. Observable characteristics that affect attitudes can be incorporated into the analysis to improve the measurement of the attitudes; the measurements are posterior distributions that condition...