Testing parametric models in linear-directional regression
  This paper presents a goodness-of-fit test for parametric regression models with scalar response and directional predictor, that is, a vector on a sphere of arbitrary dimension. The testing procedure is based on the weighted squared distance between a smooth and a parametric regression estimator, where the smooth regression estimator is obtained by a projected local approach. Asymptotic behavior of the test statistic under the null hypothesis and local alternatives is provided, jointly with a consistent bootstrap algorithm for application in practice. A simulation study illustrates the performance of the test in finite samples. The procedure is applied to test a linear model in text mining. 
Eduardo Garc\'ia-Portugu\'es, Ingrid Van Keilegom, Rosa M. Crujeiras,   Wenceslao Gonz\'alez-Manteiga
stat.ME