Developmental Correlates of Family Size: A Report from the National Child Development Study

Summary This paper presents findings from tbe National Child DevelopmentStudy which examine the relationship between size of familyand school attainment, adjustment and height at the age of eleven.This relationship is shown to be a strong one, and alternativeexplanations for its existence are considered     

Tractable Consideration Set Structures for Assortment Optimization and Network Revenue Management

Discrete‐choice models are widely used to model consumer purchase behavior in assortment optimization and revenue management. In many applications, each customer segment is associated with a consideration set that represents the set of products that customers in this segment consider for purchase. The firm has to make a decision on what assortment to offer at each point in time without the ability to identify the customer's segment. A linear program called the Choice‐based Deterministic Linear Program (CDLP) has been proposed to determine these offer sets. Unfortunately, its size grows exponentially in the number of products and it is NP‐hard to solve when the consideration sets of the segments overlap. The Segment‐based Deterministic Concave Program with some additional consistency equalities (SDCP+) is an approximation of CDLP that provides an upper bound on CDLP's optimal objective value. SDCP+ can be solved in a fraction of the time required to solve CDLP and often achieves the same optimal objective value. This raises the question under what conditions can one guarantee equivalence of CDLP and SDCP+. In this study, we obtain a structural result to this end, namely that if the segment consideration sets overlap with a certain tree structure or if they are fully nested, CDLP can be equivalently replaced with SDCP+. We give a number of examples from the literature where this tree structure arises naturally in modeling customer behavior.     

Integrating self-care into clinical practice with trauma clients

ABSTRACT

Self-care is recognized as an important aspect of social work practice. Beginning in educational settings, developing social workers are encouraged to learn about and practice self-care. However, self-care is typically promoted through strategies and approaches outside of the practice context. Social workers are oftentimes encouraged to use individualized self-care plans, which often feature a variety of relaxation and secondary techniques; focus on self-awareness and self-reflection; and have proper use of supervision. Although these strategies are invaluable, they do little to directly benefit the social worker during direct practice or while in session with a client which is a time period when clinicians are particularly vulnerable to distress or burnout. The importance of real-time self-care strategies is particularly critical for clinicians, especially those who engage in trauma work, given the sensitivity of topics that clients may have endured or benefit from assistance in processing. Further, little information has been published on the use of self-care techniques during a session with a client or in a clinical context. The purpose of the present paper is to discuss self-care strategies that can be useful both outside of and within a clinical setting and present a model of such strategies that focus on integrating self-care in clinical practice particularly for those engaging in trauma work. The paper will conclude by discussing the relevancy of the developed model in practice.     

The Role of Giving and Receiving Emotional Support on Depressive Symptomatology among Older Couples: An Application of the Actor-Partner Interdependence Model

The present study investigated whether perception of receiving emotional support mediates the relationship between one partner's giving of emotional support and the other partner's depressive symptomatology using a population-based sample of 423 couples from the Changing Lives of Older Couples study. A path model was used guided by the Actor-Partner Interdependence Model. Results indicated that spouses' giving emotional support was related to the degree to which their spouse reported receiving emotional support. Perception of receiving emotional support, in turn, was related to lower depressive symptomatology of the support recipient. Both husbands and wives can benefit from emotional support through their perception of receiving emotional support, and spouses' perceptions, as well as their actions, should be considered in support transactions.     

On some consistent tests of mutual independence among several random vectors of arbitrary dimensions

Statistics and Computing - Testing for mutual independence among several random vectors is a challenging problem, and in recent years, it has gained significant attention in statistics and machine...