A test for the parametric form of the variance function in a partial linear regression model

We consider the problem of testing for a parametric form of the variance function in a partial linear regression model. A new test is derived, which can detect local alternatives converging to the null hypothesis at a rate n^-1/2$n^{-1/2}$ and is based on a stochastic process of the integrated variance function. We establish weak convergence to a Gaussian process under the null hypothesis, fixed and local alternatives. In the special case of testing for homoscedasticity the limiting process is a scaled Brownian bridge. We also compare the finite sample properties with a test based on an L²$L^2$-distance, which was recently proposed by You and Chen [2005. Testing heteroscedasticity in partially linear regression models. Statist. Probab. Lett. 73, 61–70].     

Implicit theories in organizational settings: A systematic review and research agenda of implicit leadership and followership theories

Implicit theories play important roles in many areas of human life. In this review, we focus on implicit leadership and followership theories, i.e. implicit assumptions of (good) leaders and followers, respectively. We provide a framework for categorizing the existing research in this field. We use this framework to show the current state of research and to illustrate the gaps in the literature. More precisely, we review which types of prototypes of leaders and followers have been studied, the effects of comparisons between the actual leader (respectively follower) with these activated prototypes as well as the contextual factors that influence prototype activation and prototype fit. We conclude by outlining implications for human resource management and for future research, thereby focusing on research questions that can be used to integrate the distinct paths in implicit leadership and followership theories.