Simple and Exact Empirical Likelihood Ratio Tests for Normality Based on Moment Relations

The empirical likelihood (EL) technique is a powerful nonparametric method with wide theoretical and practical applications. In this article, we use the EL methodology in order to develop simple and efficient goodness-of-fit tests for normality based on the dependence between moments that characterizes normal distributions. The new empirical likelihood ratio (ELR) tests are exact and are shown to be very powerful decision rules based on small to moderate sample sizes. Asymptotic results related to the Type I error rates of the proposed tests are presented. We present a broad Monte Carlo comparison between different tests for normality, confirming the preference of the proposed method from a power perspective. A real data example is provided.     

Another look at subset selection using linear least squares

The QR-factorization provides a set of orthogonal variables which has advantages over other orthogonal representations, such as principal components and the singular-value decomposition, in selecting subsets of regression variables by least squares methods. Stopping rules, in particular, are easily understood. A new stopping rule is derived for prediction. This is derived by approximately minimizing the mean squared error in estimating the squared error of prediction. A clear distinction is made between the kind of stopping rule which is relevant when the objective is prediction, and when the objective is asymptotic consistency. Progress with reducing the bias due to the model selection procedure is briefly summarized.     

Marital Well‐being and Religiousness as Mediated by Relational Virtue and Equality

This study investigated religiousness and couple well‐being as mediated by relational virtue and equality. Relational spiritual framework theory posits that religiousness is associated with couple well‐being through relational virtues (e.g., forgiveness, commitment, and sacrifice). Theories of relational inequality postulate that religion decreases couple well‐being and indirectly lessens couple well‐being. Data from a 3‐year longitudinal community sample of 354 married couples were used. The authors found that religiousness's relationship to couple well‐being was fully mediated by relational virtue but was not connected to relational inequality. They also found that relational inequality was associated with women's conflict, men's conflict, and marital instability. They did not find that higher religiousness benefits marital outcomes directly. Although these findings do not support the idea that religious activities are directly associated with stronger relationships, the data did show that religiousness can contribute to expressed relational virtue, and relational virtue in turn is associated with marital well‐being.     

Improved estimation of variance components in mixed models

Taking Albert's (1976) formulation of a mixed model ANOVA, we consider improved estimation of the variance components for balanced designs under squared error loss. Two approaches are presented. One extends the ideas of Stein (1964), The other is developed from the fact that variance components can be expressed as linear combinations of chi-square scale parameters. Encouraging simulation results are presented.     

Linearly Independent,Orthogonal, and Uncorrelated Variables

Linearly independent, orthogonal, and uncorrelated are three terms used to indicate lack of relationship between variables. This short didactic article compares these three terms in both an algebraic and a geometric framework. An example is used to illustrate the differences.     

Neural Network Simulation of Infant Familiarization to Artificial Sentences: Rule‐Like Behavior Without Explicit Rules and Variables

A fundamental issue in cognitive science is whether human cognitive processing is better explained by symbolic rules or by subsymbolic neural networks. A recent study of infant familiarization to sentences in an artificial language seems to have produced data that can only be explained by symbolic rule learning and not by unstructured neural networks (Marcus, Vijayan, Bandi Rao, & Vishton, 1999). Here we present successful unstructured neural network simulations of the infant data, showing that these data do not uniquely support a rule‐based account. In contrast to other simulations of these data, these simulations cover more aspects of the data with fewer assumptions about prior knowledge and training, using a more realistic coding scheme based on sonority of phonemes. The networks show exponential decreases in attention to a repeated sentence pattern, more recovery to novel sentences inconsistent with the familiar pattern than to novel sentences consistent with the familiar pattern, occasional familiarity preferences, more recovery to consistent novel sentences than to familiarized sentences, and extrapolative generalization outside the range of the training patterns. A variety of predictions suggest the utility of the model in guiding future psychological work. The evidence, from these and other simulations, supports the view that unstructured neural networks can account for the existing infant data.     

Saints or Sinners: Sociobiological Theories of Male Homosexuality

In response to Christian conservative political action, some gay rights advocates have embraced a biological argument. The argument maintains that because homosexuality may have a biological basis, homosexuals should be protected from discrimination. This essay questions the efficacy of this argumentative strategy. The essay demonstrates that biological theories about male homosexuality may not facilitate the efforts of gay rights advocates. In fact, the sociobiological theories analyzed in this essay represent male homosexuality as a state of effeminate pathology. Furthermore, because these sociobiological theories are underdetermined, they are particularly vulnerable to political manipulation. For these reasons, sexual minorities should be cautious about embracing biological arguments in order to secure greater social and political freedoms.     

The Relationship between Social Defiance,Vindictiveness, Anger,and Brain Morphology in Eight‐year‐old Boys and Girls

The goal of this study is twofold: (1) to assess brain anatomical differences between children meeting diagnostic criteria for oppositional defiant disorder (ODD) and healthy controls, and (2) to investigate whether morphological brain characteristics associated with ODD differ in boys and girls. Eight‐year‐old participants (N = 38) were scanned using magnetic resonance imaging. ODD symptoms were assessed using the Dominic‐R interactive. In ODD participants, we observed a significant reduction of gray matter density in the left orbitofrontal cortex—a prefrontal region that plays a pivotal role in emotional self‐regulation and impulse control—and, conversely, an increase in the left temporal area—an area that has been associated with aggressive, impulsive, and antisocial personality. Furthermore, ODD boys showed a reduction of both gray matter density in the left orbitofrontal cortex and of white matter density in the left superior frontal area. The structural abnormalities found in the present study, in particular, the correlation between ODD symptoms and reduction of gray matter density in the left orbitofrontal cortex, may present some evidence for the existence of neuropathology associated with ODD symptoms during childhood. Furthermore, our findings indicate morphometric differences between boys and girls with ODD, which may be associated with gender differences in social behavior in children showing ODD symptoms.