The San Francisco Unified School District (SFUSD) uses the Language and Literacy Assessment Rubric (LALAR) as the secondary measurement required by the No Child Left Behind (NCLB) Act to measure English proficiency of English language learners (ELLs). In this analysis, the Rasch model is used to identify whether the LALAR is a valid measurement…

This article is concerned with the question of whether the missing data mechanism routinely referred to as missing completely at random (MCAR) is statistically examinable via a test for lack of distributional differences between groups with observed and missing data, and related consequences. A discussion is initially provided, from a formal logic…

This paper explores the determinants of child labour vis-a-vis child schooling. It further examines the influence of non-governmental organisations (NGOs) which are engaged in social labelling, on the incidence of child labour and schooling trade-off. The empirical results show that the probability of child schooling increases as well as child…

Bertrand's paradox (Bertrand 1889 "Calcul des Probabilites" (Paris: Gauthier-Villars)) can be considered as a cautionary memento, to practitioners and students of probability calculus alike, of the possible ambiguous meaning of the term "at random" when the sample space of events is continuous. It deals with the existence of different possible…

This paper is an elementary introduction to particle diffusion in a medium where the coefficient of diffusion varies with position. The introduction is aimed at third-year university courses. We start from a simple model of particles hopping on a discrete lattice, in one or more dimensions, and then take the continuous-space limit so as to obtain…

The propensity score is the probability of treatment assignment conditional on observed baseline characteristics. The propensity score allows one to design and analyze an observational (nonrandomized) study so that it mimics some of the particular characteristics of a randomized controlled trial. In particular, the propensity score is a balancing…

Birnbaum raised important challenges to testing transitivity. We summarize why an approach based on counting response patterns does not solve these challenges. Foremost, we show why parsimonious tests of transitivity require at least 5 choice alternatives. While the approach of Regenwetter, Dana, and Davis-Stober achieves high power with modest…

In this paper we seek to empirically quantify the role of peer social networks in influencing sexual behavior among adolescents. Using data of a nationally representative sample of adolescents we utilize a multivariate structural model with school-level fixed effects to account for the problems of contextual effects, correlated effects and peer…

The goal of this research was to disentangle effects of phonotactic probability, the likelihood of occurrence of a sound sequence, and neighbourhood density, the number of phonologically similar words, in lexical acquisition. Two-word learning experiments were conducted with 4-year-old children. Experiment 1 manipulated phonotactic probability…

Steinley and Brusco (2011) presented the results of a huge simulation study aimed at evaluating cluster recovery of mixture model clustering (MMC) both for the situation where the number of clusters is known and is unknown. They derived rather strong conclusions on the basis of this study, especially with regard to the good performance of…

With the rapid development of Internet technologies, distance education has become a popular educational mode. In this paper, the authors propose an online image automatic annotation distance education system, which could effectively help children learn interrelations between image content and corresponding keywords. Image automatic annotation is…

Research in cognitive psychology and science education has acknowledged two antagonistic theoretical perspectives concerning students' knowledge. One perspective considers students' knowledge as coherent or theory-like, explaining the learning process in terms of framework theories and stable mental models, whereas the other considers it…

The area of statistics is one in which teachers may be encouraged to make important links to other curriculum areas and social issues. Statistical literacy is a key component of being numerate and living as an informed citizen. The teaching of statistics provides an opportunity to inform and educate students about social issues and moral…

This paper investigates how individuals' performances of a cognitive task in a high-pressure competition are affected by their peers' performances. To do so, I use novel data from the National Spelling Bee, in which students attempt to spell words correctly in a tournament setting. Across OLS and instrumental variables approaches, I…

In addition to qualitative methods presented in chaos and complexity theories in educational research, this article addresses quantitative methods that may show potential for future research studies. Although much in the social and behavioral sciences literature has focused on computer simulations, this article explores current chaos and…