Teacher‐Student Racial Congruence,Teacher Perceptions,and Test Performance*

Objective. This research explores the seldom‐addressed question of whether teacher‐student racial congruence conditions the impact of teacher perceptions on performance. Methods. Multipopulation LISREL models (utilizing data from the NELS) compare the effect of white teachers' perceptions on African‐American standardized test performance to the corresponding effect among white students. Parallel models compare the impact of African‐American teacher perceptions across races. Preliminary models gauge whether the match/mismatch of teacher's and student's race shapes teacher perceptions of African‐American and white students. Results. The impact of teachers' perceptions on test performance shows signs of being especially pronounced in the racially dissonant white teacher‐black student context—the very context where teacher perceptions seem especially likely to be unfavorable. Conclusions. This research provides new insight on the relevance of teacher perceptions to the black‐white performance gap. Racial congruence seems primarily consequential to African‐American test performance—shaping both teacher perceptions and (somewhat less so) the impact of such perceptions on performance.     

Editorial: special edition on probabilistic numerics

Statistics and Computing -     

Symmetry exploits for Bayesian cubature methods

Statistics and Computing - Bayesian cubature provides a flexible framework for numerical integration, in which a priori knowledge on the integrand can be encoded and exploited. This additional...     

Exact estimation of multiple directed acyclic graphs

This paper considers structure learning for multiple related directed acyclic graph (DAG) models. Building on recent developments in exact estimation of DAGs using integer linear programming (ILP), we present an ILP approach for joint estimation over multiple DAGs. Unlike previous work, we do not require that the vertices in each DAG share a common ordering. Furthermore, we allow for (potentially unknown) dependency structure between the DAGs. Results are presented on both simulated data and fMRI data obtained from multiple subjects.     

A modern retrospective on probabilistic numerics

Statistics and Computing - This article attempts to place the emergence of probabilistic numerics as a mathematical–statistical research field within its historical context and to explore how...     

The Google voter: search engines and elections in the new media ecology

This paper explores key Internet search trends for electoral information vis-à-vis the broader media ecology in the UK and the US. An innovative methodology is introduced that maps the informational trajectories of key election events by combining Google Trends data linked to significant news events during the campaigns. While the research found spikes of search that suggested a seemingly trivial event in the US could drive voters to search out deeper information on related policy issues, the study did not find the same phenomenon in the UK. This invites a reflection on the opportunities available to Internet users/voters in the changing informational landscape and how scholars can leverage Google Trends records to better understand how voters seek information in new and evolving media ecologies.     

Investigation of the widely applicable Bayesian information criterion

The widely applicable Bayesian information criterion (WBIC) is a simple and fast approximation to the model evidence that has received little practical consideration. WBIC uses the fact that the log evidence can be written as an expectation, with respect to a powered posterior proportional to the likelihood raised to a power \(t^*\in {(0,1)}\), of the log deviance. Finding this temperature value \(t^*\) is generally an intractable problem. We find that for a particular tractable statistical model that the mean squared error of an optimally-tuned version of WBIC with correct temperature \(t^*\) is lower than an optimally-tuned version of thermodynamic integration (power posteriors). However in practice WBIC uses the a canonical choice of \(t=1/\log (n)\). Here we investigate the performance of WBIC in practice, for a range of statistical models, both regular models and singular models such as latent variable models or those with a hierarchical structure for which BIC cannot provide an adequate solution. Our findings are that, generally WBIC performs adequately when one uses informative priors, but it can systematically overestimate the evidence, particularly for small sample sizes.     

Optimal Monte Carlo integration on closed manifolds

Statistics and Computing - The worst case integration error in reproducing kernel Hilbert spaces of standard Monte Carlo methods with n random points decays as $$n^{-1/2}$$. However, the...     

THE COLOR OF THE UNDERGRADUATE EXPERIENCE AND THE OCCUPATIONAL ATTAINMENT OF BLACKS AND WHITES: Evidence from Longitudinal Data

This study examines the impact of attendance at colleges with higher black enrollment on occupational attainment. The unique multipopulation LISREL models focus on blacks and whites, specify income and occupational self-direction as distinct dimensions of labor market accomplishment, and adjust for the possible confounding influence of college selectivity and precollege self-appraisals. Data from the NLS-72, augmented by selectivity and black enrollment data from other sources, are utilized. Findings largely support the hypothesis of within-race parity in occupational attainment. Black enrollment exerts nonsignificant effects on income among blacks and occupational self-direction in both races and slightly enhances income among whites.     

Behavior of Mothers and Infants With and Without Down Syndrome During the Still‐Face Procedure

There has been limited study of how the constitutional characteristics of infants with Down syndrome (DS) influence the patterning of their relations with caregivers. To assess natural and perturbed interactions between infants with DS and their mothers, we tested ten 6‐month‐old infants with DS and 20 typically developing (TD) 4‐month‐old of similar mental age. Participants were videotaped with their mothers in a natural face‐to‐face interaction, a brief period when the mothers adopted a still‐face, and a subsequent reengagement phase. There was little to distinguish the infants in the initial phase of natural interaction, but the mothers of infants with DS were more likely to show assertive warmth, and unlike in the case of mothers of TD infants, high maternal directiveness tended to be associated with lower levels of infant looking and lack of fussing. During the still‐face episode, infants of both groups showed reduced looking and smiling, although infants with DS tended to show lower levels of fussing and fewer in this group showed fussing in the reengagement phase. Therefore DS infants were somewhat similar to TD infants of comparable mental age in being responsive to the still‐face procedure, but showed indications of group differences in intense emotional reactivity.