This paper considers linear models with misspecification of the form $f(x) = E(y|x) = \sum ^{p}_{j=1} \theta _{jgj}(x) + h(x)$, where h(x) is an unknown function. We ...

In this module, we will introduce the basic conceptual framework for statistical modeling in general, and linear statistical models in particular. In this module, we will learn how to fit linear ...

In this module, we will introduce generalized linear models (GLMs) through the study of binomial data. In particular, we will motivate the need for GLMs; introduce the binomial regression model, ...

Several new tests are proposed for examining the adequacy of a family of parametric models against large nonparametric alternatives. These tests formally check if the bias vector of residuals from ...