This book began as a short note to propose the estimator in Section 8.3. In researching the recent developments in ordered choice modeling, we concluded that it would be useful to include some pedagogical material about uses and interpretation of the model at the most basic level. Our review of the literature revealed an impressive breadth and depth of applications of ordered choice modeling, but no single source that provided a comprehensive summary. There are several somewhat narrow surveys of the basic ordered probit/logit model, including Winship and Mare (1984), Becker and Kennedy (1992), Daykin and Moffatt (2002) and Boes and Winkelmann (2006a), and a book-length treatment, by Johnson and Albert (1999) that is focused on Bayesian estimation of the basic model parameters using grouped data. (See, also, Congdon (2005), Ch. 7 and Agresti (2002), Section 7.4.) However, these stop well short of examining the extensive range of variants of the model and the variety of fields of applications, such as bivariate and multivariate models, two-part models, duration models, panel data models, models with anchoring vignettes, semiparametric approaches, and so on. (We have, of necessity, omitted mention of many – perhaps most – of the huge number of applications.) This motivated us to assemble this more complete overview of the topic. As this review proceeded, it struck us that a more thorough survey of the model itself, including its historical development, might also be useful and (we hope) interesting for readers.