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Classical unit root tests are known to suffer from potentially crippling size distortions, and a range of procedures have been proposed to attenuate this problem, including the use of bootstrap procedures. It is also known that the estimating equation’s functional form can affect the outcome of the test, and various model selection procedures have been proposed to overcome this limitation. In this chapter, the authors adopt a model averaging procedure to deal with model uncertainty at the testing stage. In addition, the authors leverage an automatic model-free dependent bootstrap procedure where the null is imposed by simple differencing (the block length is automatically determined using recent developments for bootstrapping dependent processes). Monte Carlo simulations indicate that this approach exhibits the lowest size distortions among its peers in settings that confound existing approaches, while it has superior power relative to those peers whose size distortions do not preclude their general use. The proposed approach is fully automatic, and there are no nuisance parameters that have to be set by the user, which ought to appeal to practitioners.

Mental health is not simply the absence of psychological problems any more than physical health is the absence of disease. This chapter explores various aspects of optimal mental health and wellbeing among college students. It examines the question of what is required for college students to both feel their best and function at or near their highest levels. It also discusses the characteristics of peak mental health, including its transient nature. Predictive factors such as exercise, diet, sleep and social connection will be explored. Regarding the features of optimal wellbeing, the following variables are described: integrity, values, mindfulness, self-compassion, flow and resilience. These variables are considered in an integrated fashion as components, as well as byproducts, of wellness. Hettler’s multidimensional model of wellness is presented at the outset of the chapter, followed by Keyes’ theory of flourishing.