This book is based on the premise that nonparametric or rank based statistical methods are a superior choice in many data analytic situations. We cover location models, regression models including designed experiments, and multivariate models.
Geometry provides a unifying theme throughout much of the development.
We emphasize the similarity in interpretation with least squares methods. Basically, we replace the Euclidean norm with a weighted L-1 norm. This results in rank based methods or L-1 methods depending on the choice of weights. The rank-based methods proceed much like the traditional analysis. Using the norm, models are easily fitted.