When is the Wilcoxon–Mann–Whitney procedure a test of location? Implications for effect-size measures

The Wilcoxon–Mann–Whitney procedure is invariant under monotone transformations but its use as a test of location or shift is said not to be so. It tests location only under the shift model, the assumption of parallel cumulative distribution functions (cdfs). We show that infinitely many monotone transformations of the measured variable produce parallel cdfs, so long as the original cdfs intersect nowhere or everywhere. Thus there are infinitely many effect sizes measured as shifts of medians, invalidating the notion that there is one true shift parameter and thereby rendering any single estimate dubious. Measuring effect size using the probability of superiority alleviates this difficulty.     

Unfolding Relations among Mindful Parenting,Recurrent Conflict,and Adolescents’ Externalizing and Internalizing Problems

The current study examined unfolding relations among mothers’ mindful parenting, parent–adolescent recurrent conflict, and adolescents’ externalizing and internalizing problems. In a community sample of 117 families (31% black, Asian, American Indian, or Latino), parents and adolescents (52% female; average age = 12.13 years) were followed over 15 months. Parents answered questions about mindful parenting and recurrent conflict, and adolescents reported on their own externalizing and internalizing problems. Path analyses indicated that higher levels of mindful parenting were significantly related to lower levels of recurrent conflict 2–3 months later, controlling for previous levels of recurrent conflict. Moreover, lower levels of recurrent conflict were significantly related to lower levels of externalizing problems and internalizing problems 1 year later, controlling for previous levels of those problems. Subgroup analyses indicated that relations were comparable across subgroups defined by adolescent gender, race, parent marital status, and family financial strain. The effects of mindful parenting were robust even after accounting for other indicators of positive and supportive parenting, namely inductive reasoning and warmth in the parent–adolescent relationship. These findings highlight the potential of mindful parenting to improve family interactions and adolescent adjustment.     

The pessimistic origin of Nietzsche’s thought of eternal recurrence

ABSTRACT

In this article I argue that we should understand Nietzsche’s doctrine of eternal recurrence as the ideal of life affirmation opposed to philosophical pessimism, the view that life is not worth living. I first articulate Nietzsche’s psychological account of pessimism as a vengeful focus on the past and an aversion to time understood as transience. I then consider the question of why a person with the opposite psychological orientation – a creative relation to the future and an endorsement of time – would will the eternal recurrence of all things. My answer appeals to Nietzsche’s notions of will to power and the redemption of the past from its senselessness. The interpretation of eternal recurrence that emerges from this approach takes Nietzsche’s vision of a great, world-redeeming individual to be integral to his doctrine of eternal recurrence. This is just one way in which it differs from common interpretations of eternal recurrence as a cosmological theory or thought experiment.