Background This article considers the following setting. Suppose we have one continuous predictor and an outcome variable and we wish to estimate a smooth, usually nonlinear, relationship between and some property of such as the mean or the probability that exceeds some specified value. When there is no censoring on , one can estimate such a smooth relationship nonparametrically using a standard smoother such as loess or the R “super smoother” supsmu. Semiparametric ordinal regression, us...