Judges', caseworkers', and substance abuse counselors' indicators of family reunification with substance-affected parents

The decision to reunify children with their substance-affected parent is highly complex and requires a tremendous amount of work and change on the part of the affected parent. This exploratory study identified indicators for safe reunification of children placed in foster care due to parental substance abuse. Judges who hear juvenile cases, private agency child welfare caseworkers, and substance abuse counselors from a large midwestern state were surveyed using an instrument composed of a preliminary list of indicators identified through focus groups with these professional groups. Responses from 196 professionals who rated the importance of each item and subsequent factor analysis resulted in identification of 97 indicators. These indicators were grouped into the categories of motivation, recovery, competency, and reliability; social support; parenting skills; and legal issues. Implications of the findings for practice are discussed.     

Negative Dependence in Sampling

Abstract. The strong Rayleigh property is a new and robust negative dependence property that implies negative association; in fact it implies conditional negative association closed under external fields (CNA+). Suppose that and are two families of 0‐1 random variables that satisfy the strong Rayleigh property and let . We show that {Z_i} conditioned on is also strongly Rayleigh; this turns out to be an easy consequence of the results on preservation of stability of polynomials of Borcea & Brändén (Invent. Math., 177, 2009, 521–569). This entails that a number of important π ps sampling algorithms, including Sampford sampling and Pareto sampling, are CNA+. As a consequence, statistics based on such samples automatically satisfy a version of the Central Limit Theorem for triangular arrays.