Computing the real solutions of Fleishman's equations for simulating non-normal data

Fleishman's power method is frequently used to simulate non-normal data with a desired skewness and kurtosis. Fleishman's method requires solving a system of nonlinear equations to find the third-order polynomial weights that transform a standard normal variable into a non-normal variable with desired moments. Most users of the power method seem unaware that Fleishman's equations have multiple solutions for typical combinations of skewness and kurtosis. Furthermore, researchers lack a simple method for exploring the multiple solutions of Fleishman's equations, so most applications only consider a single solution. In this paper, we propose novel methods for finding all real-valued solutions of Fleishman's equations. Additionally, we characterize the solutions in terms of differences in higher order moments. Our theoretical analysis of the power method reveals that there typically exists two solutions of Fleishman's equations that have noteworthy differences in higher order moments. Using simulated examples, we demonstrate that these differences can have remarkable effects on the shape of the non-normal distribution, as well as the sampling distributions of statistics calculated from the data. Some considerations for choosing a solution are discussed, and some recommendations for improved reporting standards are provided.     

Repulsed by violence: disgust sensitivity buffers trait, behavioral, and daily aggression

Many models of aggression include negatively valenced emotions as common elicitors of aggressive behavior. Yet, the motivational direction of these emotions is not taken into account. The current work explored whether sensitivity to a negative emotion associated with behavioral avoidance-disgust-will predict lower levels of aggression. Five studies tested the hypothesis that disgust sensitivity predicts less aggression. In Study 1 (N = 92), disgust sensitivity predicted less trait physical and verbal aggression. In Study 2 (N = 268), participants high in disgust sensitivity were less likely to behave aggressively towards a stranger on a reaction-time task. In Study 3 (N = 51), disgust sensitivity was associated with less intimate partner violence inclinations. Study 4 (N = 247) replicated this effect longitudinally. In Study 5 (N = 166), each domain of disgust (i.e., moral, sexual, and pathogen disgust) had a buffering effect on daily aggression when daily experiences activated those specific domains. These results highlight the usefulness of considering the motivational direction of an emotion when examining its influence on aggression.     

“If We’re Going to Change Things, It Has to Be Systemic:” Systems Change in Children’s Mental Health

Communities that undertake systems change in accordance with the system of care philosophy commit to creating new systems entities for children and adolescents with serious emotional disturbance. These new entities are values-based, voluntary, and cross-agency alliances that include formal child-serving entities, youth, and families. Describing the scope and intent of one such implementation of systems of care, a mental health administrator commented, "If we're going to change things, it has to be systemic" (B. Baxter, personal communication, December 2, 2005). This paper explores the concept of "systemic" in the context of systems of care. Systems theory is used to understand strategies of purposeful systems change undertaken by stakeholders in established system of care communities. The paper presents a conceptual model of systems change for systems of care that is grounded in data from a national study of system of care implementation (Research and Training Center for Children's Mental Health in Case Studies of system implementation: Holistic approaches to studying community-based systems of care: Study 2, University of South Florida, Louis de la Parte Florida Mental Health Institute, Research and Training Center for Children's Mental Health, Tampa, FL, 2004). The model is based on Soft Systems Methodology, an application of systems theory developed to facilitate practical action around systems change in human systems (Checkland in Systems thinking, systems practice, Wiley, Chichester, 1999). The implications of these findings to real world actions associated with systems change in systems of care are discussed.     

Bridging the Distance Between Us: How Initial Responses to Sales Team Conflict Help Shape Core Selling Team Outcomes

Intra-team conflict within core selling teams can shape team outcomes. Using congruency theory, we propose how conflict responses impact the relational distance between individuals in a core selling team, creating positive/negative team outcomes. Our framework suggests managers may improve team outcomes by monitoring sales team members' responses to conflict, encouraging internal cognitive voice behaviors, and intervening in teams not using internal cognitive voice behaviors when relational or process conflict exists. Our model helps explain the paradox in which an individual who is part of a “winning” team (one achieving its team goals) may still choose to exit the team.     

Executive Cognitive Function as a Correlate and Predictor of Child Food Intake and Physical Activity

Investigated were relations among executive cognitive function (ECF), food intake, and physical activity in 184, fourth grade children. It was hypothesized that self-reported ECF proficiency would predict greater self-reported fruit/vegetable intake and physical activity, but less “snack food” intake. Structural models demonstrated that ECF was significantly correlated with less concurrent snack food intake and greater concurrent fruit/vegetable intake, but not physical activity. Baseline ECF also significantly predicted greater fruit/vegetable intake and physical activity four months later, but not snack food intake. One implication is to promote ECF as a correlate and predictor of food intake and physical activity in children by providing opportunities for youth to practice newly developing ECF capacities.     

Gratitude and depressive symptoms: The role of positive reframing and positive emotion

Eight studies (N=2,973) tested the theory that gratitude is related to fewer depressive symptoms through positive reframing and positive emotion. Study 1 found a direct path between gratitude and depressive symptoms. Studies 2–5 demonstrated that positive reframing mediated the relationship between gratitude and depressive symptoms. Studies 6–7 showed that positive emotion mediated the relationship between gratitude and depressive symptoms. Study 8 found that positive reframing and positive emotion simultaneously mediated the relationship between gratitude and depressive symptoms. In sum, these eight studies demonstrate that gratitude is related to fewer depressive symptoms, with positive reframing and positive emotion serving as mechanisms that account for this relationship.     

Interpreting Thomas Kuhn as a Response-Dependence Theorist

Abstract

Thomas Kuhn is the most famous historian and philosopher of science of the last century. He is also among the most controversial. Since Kuhn’s death, his corpus has been interpreted, systematized, and defended. Here I add to this endeavor in a novel way by arguing that Kuhn can be interpreted as a global response-dependence theorist. He can be understood as connecting all concepts and terms in an a priori manner to responses of suitably situated subjects to objects in the world. Further, I claim, this interpretation is useful for three reasons. First, it allows us to systematize and defend Kuhn’s views. We can therefore better appreciate him as a thinker in his own right. Second, it deepens our understanding of both the uniqueness of Kuhn’s views and the continuity of those views with those of others. We can therefore better appreciate his place in history. And third, as I explain in the paper, my interpretation affords us the only example of an ethnocentric global response-dependence theory. We can therefore better appreciate the versatility of response-dependence itself.     

Anticipatory baseline effects and information integration in visual world studies

Researchers often conduct visual world studies to investigate how listeners integrate linguistic information with prior context. Such studies are likely to generate anticipatory baseline effects (ABEs), differences in listeners' expectations about what a speaker might mention that exist before a critical speech stimulus is presented. ABEs show that listeners have attended to and accessed prior contextual information in time to influence the processing of the critical speech stimulus. However, further evidence is required to show that the information actually did influence subsequent processing. ABEs can compromise the validity of inferences about information integration if they are not appropriately controlled. We discuss four solutions: statistical estimation, experimental control, elimination of “on-target” trials, and neutral gaze. An experiment compares the performance of these solutions, and suggests that the elimination of on-target trials introduces bias in the direction of ABEs, due to the statistical phenomenon of regression toward the mean. We conclude that statistical estimation, possibly coupled with experimental control, offers the most valid and least biased solution.     

Depressive symptoms predict inflexibly high levels of experiential avoidance in response to daily negative affect: a daily diary study

Experiential avoidance (EA) is an emotion-regulation strategy used to control or avoid unpleasant internal experiences. Despite the important role of avoidance in depressive disorders, there is relatively little research directly examining the role of EA in the development and maintenance of depression, and most of this research relies on measurement of EA as a global and stable personality trait. In this study we sought to extend the research on EA and depression by using a daily diary design and multilevel analysis to examine how the daily relationship between EA and negative affect (NA) varies as a function of baseline depressive symptoms. In order to achieve this goal we created a new state measure of EA assessing several avoidant behaviors. The findings revealed that participants with more depressive symptoms used more daily EA overall. Additionally, the difference in daily EA between those with higher versus lower depressive symptoms was greater on days when participants experienced less NA. This moderation effect was found only concurrently whereas one-day lagged analysis failed to reveal this effect. These findings provide preliminary support for the hypothesis that depression is associated with an inflexibly high level of avoidant emotion regulation.