Consistent Estimation of the Structural Distribution Function

Motivated by problems in linguistics we consider a multinomial random vector for which the number of cells N is not much smaller than the sum of the cell frequencies, i.e. the sample size n . The distribution function of the uniform distribution on the set of all cell probabilities multiplied by N is called the structural distribution function of the cell probabilities. Conditions are given that guarantee that the structural distribution function can be estimated consistently as n increases indefinitely although n / N does not. The natural estimator is inconsistent and we prove consistency of essentially two alternative estimators.     

Testing for No Effect by Cosine Series Methods

The properties of three lack-of-fit tests that are related to non-parametric cosine regression analysis are examined in the context of testing for a constant mean function. Analytic power comparisons of these tests vs a most powerful test are made using intermediate asymptotic relative efficiency. In particular, a data-driven test is produced which is asymptotically as efficient as the most powerful test over a class of alternatives. A small scale simulation experiment is conducted to ascertain the extent that the large sample comparisons are applicable to finite samples.     

A class of weighted dependence measures for bivariate failure time data

This paper considers a class of summary measures of the dependence between a pair of failure time variables over a finite follow-up region. The class consists of measures that are weighted averages of local dependence measures, and includes the cross-ratio-measure and finite region version of Kendall's τ; recently proposed by the authors. Two new special cases are identified that can avoid the need to estimate the bivariate survivor function and that admit explicit variance estimators. Nonparametric estimators of such dependence measures are proposed and are shown to be consistent and asymptotically normal with variances that can be consistently estimated. Properties of selected estimators are evaluated in a simulation study, and the method is illustrated through an analysis of Australian Twin Study data.     

Asymptotic inference for mixture models by using data-dependent priors

For certain mixture models, improper priors are undesirable because they yield improper posteriors. However, proper priors may be undesirable because they require subjective input. We propose the use of specially chosen data-dependent priors. We show that, in some cases, data-dependent priors are the only priors that produce intervals with second-order correct frequentist coverage. The resulting posterior also has another interpretation: it is the product of a fixed prior and a pseudolikelihood.     

Learning from a lot: Empirical Bayes for high‐dimensional model‐based prediction

Empirical Bayes is a versatile approach to “learn from a lot” in two ways: first, from a large number of variables and, second, from a potentially large amount of prior information, for example, stored in public repositories. We review applications of a variety of empirical Bayes methods to several well‐known model‐based prediction methods, including penalized regression, linear discriminant analysis, and Bayesian models with sparse or dense priors. We discuss “formal” empirical Bayes methods that maximize the marginal likelihood but also more informal approaches based on other data summaries. We contrast empirical Bayes to cross‐validation and full Bayes and discuss hybrid approaches. To study the relation between the quality of an empirical Bayes estimator and p, the number of variables, we consider a simple empirical Bayes estimator in a linear model setting. We argue that empirical Bayes is particularly useful when the prior contains multiple parameters, which model a priori information on variables termed “co‐data”. In particular, we present two novel examples that allow for co‐data: first, a Bayesian spike‐and‐slab setting that facilitates inclusion of multiple co‐data sources and types and, second, a hybrid empirical Bayes–full Bayes ridge regression approach for estimation of the posterior predictive interval.     

Maternal Postpartum Depression Increases Vulnerability for Toddler Behavior Problems through Infant Cortisol Reactivity

The current study examined the role of hypothalamic‐pituitary‐adrenal reactivity (a physiological indicator of stress) in early infancy as a mediator of the relationship between maternal postpartum depression and toddler behavior problems. Participants were 137 at‐risk mothers and their children participating in a longitudinal study of intergenerational transmission of risk. Mothers’ depression was measured five times during the infants’ first 18 months. Infant cortisol was collected during a social stressor (the still‐face paradigm) when infants were 6 months old, and mothers reported on toddlers’ internalizing and externalizing symptoms at 18 months. Among this sample of high‐risk mother–infant dyads, early postpartum depression predicted atypical infant cortisol reactivity at 6 months, which mediated the effect of maternal depression on increased toddler behavior problems. Clinical implications are discussed.     

Talking Turkey: Effects of Family Discussions About the 2016 Election over the Thanksgiving Holiday

Four hundred and seventy-nine undergraduates reported on family discussions about the 2016 election that occurred over that same year’s Thanksgiving break. Family Communication Patterns Theory was used to predict the perceived outcomes of such discussion on family members. Higher conversation orientation predicted a more positive perceived effect of political talk on family closeness. Perceived similarity of political views partially moderated the relationship between conformity orientation and perceived effect of political talk on family closeness. Reported stress levels since the election were negatively predicted by the perceived (positive) effect of political talk on family closeness. Practical and theoretical implications for families and political socialization processes are discussed.     

Disrupting Sexual Norms: An Application of the Critical Interpersonal and Family Communication (CIFC) Framework in the Context of Vulvodynia

This study uses intersectional methodology to critically explore vulvodynia, chronic female genital pain, as it disrupts norms governing gender roles in heterosexual sex and reproduction. Interviews with 26 women with vulvodynia illuminate core tenets of the critical interpersonal and family communication (CIFC) framework, which include power; private and public sphere bidirectionality; the critique, resistance, and transformation of the status quo; and considerations of author reflexivity. As the author is herself a heterosexual woman navigating vulvodynia, reflexivity is particularly salient. Status quo social constructs are explicated. Results demonstrate how participants experience losses of relational power and problematic media depictions establishing standards for “normal” heterosexual sex. Discourses and practices concerning the perpetuation, resistance, and potential transformation of the status quo are described.     

The white native speaker and inequality regimes in the private English language school

Private English language schools market the language as a tool that helps one connect with others from different cultures. Despite their promotion of English aiding in intercultural communication, these institutions may believe that only the white native speaker is the ideal teacher of the language. This valuing of the white native speaker can consequently act as an organisational inequality regime that marginalises nonwhite teachers. Using qualitative interviews with 10 nonwhite instructors working in schools in Toronto, Canada, this article investigates the ways in which these teachers experience the inequality regime of the white native speaker at work. The findings indicate that the teachers experience this inequality regime as a series of microaggressions that involve space, competence and customer desire. The article concludes with suggestions to dismantle inequality regimes in private institutions.