Heteroscedastic Global Tests that the Regression Parameters for Two or More Independent Groups are Identical

Simulation results are reported on methods that allow both within group and between group heteroscedasticity when testing the hypothesis that independent groups have identical regression parameters. The methods are based on a combination of extant techniques, but their finite-sample properties have not been studied. Included are results on the impact of removing all leverage points or just bad leverage points. The method used to identify leverage points can be important and can improve control over the Type I error probability. Results are illustrated using data from the Well Elderly II study.     

On the trimmed mean and minimax-variance L-estimation in Kolmogorov neighbourhoods

We consider the properties of the trimmed mean, as regards minimax-variance L-estimation of a location parameter in a Kolmogorov neighbourhood K() of the normal distribution: We first review some results on the search for an L-minimax estimator in this neighbourhood, i.e. a linear combination of order statistics whose maximum variance in K_t() is a minimum in the class of L-estimators. The natural candidate – the L-estimate which is efficient for that member of K_t,() with minimum Fisher information – is known not to be a saddlepoint solution to the minimax problem. We show here that it is not a solution at all. We do this by showing that a smaller maximum variance is attained by an appropriately trimmed mean. We argue that this trimmed mean, as well as being computationally simple – much simpler than the efficient L-estimate referred to above, and simpler than the minimax M- and R-estimators – is at least “nearly” minimax.     

D-optimal minimax regression designs on discrete design space

One classical design criterion is to minimize the determinant of the covariance matrix of the regression estimates, and the designs are called D-optimal designs. To reflect the nature that the proposed models are only approximately true, we propose a robust design criterion to study response surface designs. Both the variance and bias are considered in the criterion. In particular, D-optimal minimax designs are investigated and constructed. Examples are given to compare D-optimal minimax designs with classical D-optimal designs.     

Student budgets and widening participation: Comparative experiences of finance in low and higher income undergraduates at a northern red brick university

Drawing on a thematic analysis of longitudinal qualitative data (n_total = 118), this article takes a “whole student lifecycle” approach to examine how lower and higher income students at an English northern red brick university variously attempted to manage their individual budgets. It explores how students reconcile their income—in the form of loans, grants, and bursaries—with the cost of living. Four arenas of interest are described: planning, budgeting, and managing “the student loan”; disruptions to financial planning; the role of familial support; and strategies of augmenting the budget. In detailing the micro‐level constraints on the individual budgets of lower and higher income undergraduates, the article highlights the importance of non‐repayable grants and bursaries in helping to sustain meaningful participation in higher tariff, more selective, higher education institutions. It also supports an emerging body of literature that suggests that the continuing amendments to the system of funding higher education in England are unlikely to address inequality of access, participation, and outcome.     

Object Relations Family Therapy: Articulating the Inchoate

In recent years there has been a renewed interest in psychodynamic ideas within the family therapy literature. While some authors have explored the usefulness of psychodynamic concepts in the systemic context (Byng-Hall, 1995; Flaskas, 1993, 1996; Luepnitz, 1988, 1997), others have argued that psychodynamic models of family therapy should be given more credence in systemic work with families (Guttman, 1991). This paper describes Object Relations Family Therapy (ORFT), a psychoanalytic model of family therapy, in plain English in order to minimise the obscurity of some of the existing terminology and to emphasise the utility of more contemporary formulations. ORFT addresses the interface between psychoanalytic and systemic theories. It offers a way of conceptualising complex family dynamics at both the interpersonal and intrapsychic levels. It also integrates an understanding of nonverbal, unstated and often implicit processes in its formulation of problem development. The unique contribution of ORFT is elaborated using a clinical example.