We propose a framework for constructing goodness-of-fit tests in both low and high dimensional linear models. We advocate applying regression methods to the scaled residuals following either an ...

Goodness-of-fit testing is a cornerstone of statistical methodology, providing robust means to assess whether empirical data align with a hypothesised distribution. Such tests underpin diverse ...

We consider marked empirical processes indexed by a randomly projected functional covariate to construct goodness-of-fit tests for the functional linear model with scalar response. The test statistics ...