Interval estimation of the population mean under model uncertainty: Robust versus empirical statistics

With reference to the problem of interval estimation of a population mean under model uncertainty, we compare approaches based on robust and empirical statistics via expected lengths of the associated confidence intervals. An explicit expression for confidence intervals arising from a general class of robust statistics is worked out and this is employed to obtain a higher order asymptotic formula for the expected lengths of such intervals. Comparative theoretical results, as well as a simulation study, are then presented.     

Regression Type Estimators Using Multiple Auxiliary Information

In this paper we consider a practical situation where information on two auxiliary variables related to the study variable is available at different levels. Following Kiregyera (1980, 1984) who has obtained a chain ratio-to-regression estimator and regression to regression estimator, we shall study several estimators that arise naturally in this context and compare them under the mean square error criterion. We extend these results to the case when multiple auxiliary information is available.     

Finite sample properties of maximum likelihood and quasi-maximum likelihood estimators of egarch models

In this paper I examine finite sample properties of the maximum likelihood and quasi-maximum likelihood estimators of EGARCH(1,1) processes using Monte Carlo methods. I use response surface methodology to summarize the results of a wide array of experiments which suggest that the maximum likelihood estimator has reasonable finite sample properties. The Gaussian quasi-maximum likelihood estimator has poor finite sample properties when the data generating process has conditional excess kurtosis. Some of these poor properties appear to be asymptotic in nature.     

A qualitative exploration of positive psychology concepts in the film Wadjda and implications for future research

ABSTRACT

Positive psychology has often used both fictional and nonfictional examples to describe positive traits and outcomes. However, a film’s contribution to understanding of experiences has been rather underresearched in positive psychology literature. Although researchers in areas including journalism and film studies have conducted such investigations over the years, positive psychologists are yet to pursue this actively. This article is an attempt to explore positive psychology concepts displayed in the film Wadjda through thematic analysis. The film is about the life of an ordinary girl who displays positive outcomes under circumstances that might have overwhelmed others. This article focuses on the journey of the characters in the film and attempts to identify positive psychology features in the story. Although all characters portrayed in the film are shown to be undergoing some challenge, they are depicted as handling their life circumstances in a healthy manner. The story radiates positivity and fits Niemiec’s criteria of a positive psychology film. The article concludes by highlighting the need to conduct research on positive psychology films and its application in different areas.     

Matrix completion with nonconvex regularization: spectral operators and scalable algorithms

Statistics and Computing - In this paper, we study the popularly dubbed matrix completion problem, where the task is to “fill in” the unobserved entries of a matrix from a small subset...     

The Limited Role of Formal Statistical Inference in Scientific Inference

ABSTRACT

Such is the grip of formal methods of statistical inference—that is, frequentist methods for generalizing from sample to population in enumerative studies—in the drawing of scientific inferences that the two are routinely deemed equivalent in the social, management, and biomedical sciences. This, despite the fact that legitimate employment of said methods is difficult to implement on practical grounds alone. But supposing the adoption of these procedures were simple does not get us far; crucially, methods of formal statistical inference are ill-suited to the analysis of much scientific data. Even findings from the claimed gold standard for examination by the latter, randomized controlled trials, can be problematic.

Scientific inference is a far broader concept than statistical inference. Its authority derives from the accumulation, over an extensive period of time, of both theoretical and empirical knowledge that has won the (provisional) acceptance of the scholarly community. A major focus of scientific inference can be viewed as the pursuit of significant sameness, meaning replicable and empirically generalizable results among phenomena. Regrettably, the obsession with users of statistical inference to report significant differences in data sets actively thwarts cumulative knowledge development.

The manifold problems surrounding the implementation and usefulness of formal methods of statistical inference in advancing science do not speak well of much teaching in methods/statistics classes. Serious reflection on statistics' role in producing viable knowledge is needed. Commendably, the American Statistical Association is committed to addressing this challenge, as further witnessed in this special online, open access issue of The American Statistician.     

“I can be a mum or a professional,but not both”: What women say about their experiences of juggling paid employment with motherhood

Past research has identified the salience of the notion of “good motherhood” in countries such as Australia, where women are expected to invest significant time and energy, often through self‐sacrifice, to raise their children. We analysed free‐text comments provided in response to an open‐ended question from the Australian Longitudinal Study on Women's Health (ALSWH) to examine whether the discourse of “good motherhood” played any role in how women articulate their experiences of juggling paid employment with motherhood. Eighty women from the cohort born 1973–78 were included, providing 223 comments. “Good motherhood” underpinned many of the accounts about combining motherhood with paid employment. Women reported life as stressful and hectic as they attempted to juggle the demands of childcare with paid employment and domestic chores. Although some identified “good motherhood” as an unachievable ideal, most were largely unable to disengage with this discourse. Broader social structures, such as inflexible working conditions, were found to reinforce and support this ideal, contributing to the strength of the discourse.