Residual Normality Assumption and the Estimation of Multiple Membership Random Effects Models

While conventional hierarchical linear modeling is applicable to purely hierarchical data, a multiple membership random effects model (MMrem) is appropriate for nonpurely nested data wherein some lower-level units manifest mobility across higher-level units. Although a few recent studies have investigated the influence of cluster-level residual nonnormality on hierarchical linear modeling estimation for purely hierarchical data, no research has examined the statistical performance of an MMrem given residual non-normality. The purpose of the present study was to extend prior research on the influence of residual non-normality from purely nested data structures to multiple membership data structures. Employing a Monte Carlo simulation study, this research inquiry examined two-level MMrem parameter estimate biases and inferential errors. Simulation factors included the level-two residual distribution, sample sizes, intracluster correlation coefficient, and mobility rate. Results showed that estimates of fixed effect parameters and the level-one variance component were robust to level-two residual non-normality. The level-two variance component, however, was sensitive to level-two residual non-normality and sample size. Coverage rates of the 95% credible intervals deviated from the nominal value assumed when level-two residuals were non-normal. These findings can be useful in the application of an MMrem to account for the contextual effects of multiple higher-level units.     

Regrets in the East and West: Role of intrapersonal versus interpersonal norms

Regrets are stronger following atypical than following normal behaviour. No studies have tested this effect for both intrapersonal normality (consistency within a person) and interpersonal normality (consistency between people) simultaneously. The present research examined whether the impact of violating the two kinds of normality on regret varies across cultures, using a manipulation of mutability crossed with that of norm violation. Among Korean participants (but not Americans) the impacts of mutability on regret were stronger when the intrapersonal rather than the interpersonal norm was violated, which was interpreted in terms of the greater collectivist emphasis in Korea than in the USA.     

The asymptotic bias of minimum trace factor analysis, with applications to the greatest lower bound to reliability

In theory, the greatest lower bound (g.l.b.) to reliability is the best possible lower bound to the reliability based on single test administration. Yet the practical use of the g.l.b. has been severely hindered by sampling bias problems. It is well known that the g.l.b. based on small samples (even a sample of one thousand subjects is not generally enough) may severely overestimate the population value, and statistical treatment of the bias has been badly missing. The only results obtained so far are concerned with the asymptotic variance of the g.l.b. and of its numerator (the maximum possible error variance of a test), based on first order derivatives and the asumption of multivariate normality. The present paper extends these results by offering explicit expressions for the second order derivatives. This yields a closed form expression for the asymptotic bias of both the g.l.b. and its numerator, under the assumptions that the rank of the reduced covariance matrix is at or above the Ledermann bound, and that the nonnegativity constraints on the diagonal elements of the matrix of unique variances are inactive. It is also shown that, when the reduced rank is at its highest possible value (i.e., the number of variables minus one), the numerator of the g.l.b. is asymptotically unbiased, and the asymptotic bias of the g.l.b. is negative. The latter results are contrary to common belief, but apply only to cases where the number of variables is small. The asymptotic results are illustrated by numerical examples.This research was supported by grant DMI-9713878 from the National Science Foundation.     

On perverse thinking

Abstract

Perverse thinking is found not only in perversion, but also in other psychic structures. It is bound neither to aggressive nor to sexual experience. It is a state of mental functioning outside reality and fantasy, and occurs whenever an individual gets into an existential irritation, which demands a fundamental change. It creates denial as a protection against destruction that does not really change reality, but creates another reality besides the objective one. It is thinking in terms of two incompatible realities and the replacement of the knowledge of its incompatibility by the idea of its being normal: the acceptance of the coexistence of two states of thinking that are excluding one another is the perversion of normality. By the use of some case material, this paper demonstrates how this mode of functioning can intrude into transference-countertransference dynamics, and how one can try to handle it.

Ermann M. Über perverses Denken. Eine Fallvignette.

Perverses Denken tritt nicht nur in der klinisch manifesten Perversion auf, sondern kann auch bei anderen psychischen Organisationen in Erscheinung treten. Es ist weder an aggressive noch an sexuelle Akte gebunden. Perverses Denken ist ein Funktionszustand, der außerhalb der Realität und der Phantasiewelt liegt und auftritt, wenn grundlegende Veränderungen bevorstehen. Es schafft eine Verleugnung als Schutz gegen Destruktion, verändert aber nicht wirklich die Realität, sondern schafft eine zweite Wirklichkeit neben der objektiven. Es besteht darin, dass die Betroffenen gleichzeitig in zwei unvereinbaren Realitäten denken und die Unvereinbarkeit verleugnet wird. Das Nebeneinander wird zur Normalität erklärt. Diese Art des Denkens, ihr Einfluss auf die analytische Beziehung und eine Möglichkeit, damit umzugehen, werden in diesem Beitrag dargestellt.

Ermann M. Acerca del pensar perverso. Una viñ eta clínica.

El pensamiento perverso, no se encuentra solamente en la perversión, sino también en otras estructuras psíquicas. No está asociado a las experiencias sexuales o de agresión. Se trata de un funcionamiento mental fuera de la realidad y de la fantasía, y ocurre cuando un individuo tiene una irritación existencial, que demanda un cambio fundamental. Crea una negación como una protección contra la destrucción que no cambia la realidad necesariamente, pero produce otra realidad a lado de la realidad objetiva. Es pensar en términos de dos realidades incompatibles y la idea de ese pensamiento como si fuera normal, reemplaza el conocimiento de esta incompatibilidad: Aceptar la coexistencia de dos estados de pensamiento excluyentes en sí mismos es la perversión de la normalidad. A través de material de un caso el presente trabajo demuestra cómo este modo de funcionamiento puede introducirse en la dinámica de la transferencia contratransferencia, y cómo puede ser manejada.     

Modelling non‐normal data: The relationship between the skew‐normal factor model and the quadratic factor model

Maximum likelihood estimation of the linear factor model for continuous items assumes normally distributed item scores. We consider deviations from normality by means of a skew‐normally distributed factor model or a quadratic factor model. We show that the item distributions under a skew‐normal factor are equivalent to those under a quadratic model up to third‐order moments. The reverse only holds if the quadratic loadings are equal to each other and within certain bounds. We illustrate that observed data which follow any skew‐normal factor model can be so well approximated with the quadratic factor model that the models are empirically indistinguishable, and that the reverse does not hold in general. The choice between the two models to account for deviations of normality is illustrated by an empirical example from clinical psychology.     

Hamlet: plea for a measure of normality

The author first considers issues in psychoanalytic interpretations of literary characters, especially the question of treating the character as fiction (the aesthetic illusion) or as a real person. The position he adopts is to interpret Hamlet as a potential person, created by Shakespeare and an expression of Shakespeare’s actual – and intuitive – view of man.

With a synopsis of the tragedy and the context of its creation as background, the author then reflects on questions concerning the play. How does Shakespeare present the characters? Is Hamlet’s madness pretended or real? Which conflicts does he handle in the course of the play? Has Oedipal dynamics a role as motivational factor in his mind?

Hamlet is irrational, impulsive, emotional, inhibited, brooding, suspicious, revengeful, condemning and much more. But, in the view of the author, he is all this in a human, ‘normal’ way. There is nothing convincingly pathological or constricted in his character. ‘Un-normal’ is his intelligence and his wit. Hamlet – an intelligent, reflected, resourceful prince in late Renaissance – who has wrestle with a madhouse of political intrigues, family murders and deceitful friends.

Hamlet in Shakespeare’s text – a fairly normal person in quite a mad world.     

Leadership perceptions,gender, and dominant personality: The role of normality evaluations

Individuals with dominant personality tend to be perceived as leaders, but theory suggests the dominance advantage for leadership might depend upon gender. Role congruity theory (Eagly & Karau, 2002) holds that gender role-incongruence (i.e., dominant personality traits among women) can be a liability, which we propose produces a dominance-gender interaction effect on leadership perceptions. We extend this theory by proposing and testing a novel conceptual mediator of the role congruity effect—perceived normality. Results show dominance predicts perceived transformational leadership, but only for men. This role congruity interaction effect is then explained by perceived normality (mediated moderation). The conditional indirect effect of dominance on leadership through perceived normality is positive for men, but negative for women—consistent with role congruity theory.     

Testing the assumptions underlying tetrachoric correlations

A method is proposed for empirically testing the appropriateness of using tetrachoric correlations for a set of dichotomous variables. Trivariate marginal information is used to get a set of one-degree of freedom chi-square tests of the underlying normality. It is argued that such tests should preferrably preceed further modeling of tetrachorics, for example, modeling by factor analysis. The assumptions are tested in some real and simulated data.Presented at the Psychometric Society meeting in Santa Barbara, California, June 25–26, 1984. The research of the first author was supported by Grant No. SES-8312583 from the National Science Foundation.     

Technology in Medicine: Ontology,Epistemology, Ethics and Social Philosophy at the Crossroads

In reference to the different approaches in philosophy(of medicine) of the nature of (medical) technology,this article introduces the topic of this specialissue of Theoretical Medicine and Bioethics, that is,the way the different forms of medical technologyfunction in everyday medical practice. The authorselaborate on the active role technology plays inshaping our views on disease, illness, and the body,whence in shaping our world.