In this paper the authors extend recent work on mediation in a multilevel setting and on causal inference under interference among units to develop a template for the mediation analysis of group randomized educational interventions. The present work will contribute to the literature on interference, in particular on interference in the context of…

This paper argues for a renewed focus on statistical reasoning in the elementary school years, with opportunities for children to engage in data modeling. Data modeling involves investigations of meaningful phenomena, deciding what is worthy of attention, and then progressing to organizing, structuring, visualizing, and representing data. Reported…

This article features a mathematical game called "Mystery Person." The author describes how the Mystery Person game was tried with first-graders [age 6]. The Mystery games involve the generation of key questions, the coordination of information--often very complex information--and the formulation of consequences based on this…

An intensive phonics-based intervention program for nine-year-old Swedish pupils with reading difficulties was performed. Pupils (N = 112) were randomly assigned to either an intervention or a control group. The training was tailored to the Swedish transparent orthography and designed for one-to-one-tutoring during twelve weeks. Previously,…

Recently, researchers have investigated differences in decision making based on description and experience. We address the issue of when experience-based judgments of probability are more accurate than are those based on description. If description is well understood ("transparent") and experience is misleading ("wicked"), it…

A crucial task in social interaction involves understanding subjective mental states. Here we report two experiments with toddlers exploring whether they can use statistical evidence to infer the subjective nature of preferences. We found that 2-year-olds were likely to interpret another person's nonrandom sampling behavior as a cue for a…

The commentaries on my article contain a number of points with which I disagree but also several with which I agree. For example, I continue to believe that the existence of many cases in which between-person variability does not increase with age indicates that greater variance with increased age is not inevitable among healthy individuals up to…

This paper is meant to highlight the occurrence of Simpson's Paradox when using aggregated data obtained from two IEA studies in Israel, while ignoring the effect of a powerful intervening variable in the local context--the ethnicity factor. It will demonstrate faulty conclusions regarding either the absence of relationships between a contextual…

Experimental data are analysed statistically to allow researchers to draw conclusions from a limited set of measurements. The hard fact is that researchers can never be certain that measurements from a sample will exactly reflect the properties of the entire group of possible candidates available to be studied (although using a sample is often the…

Developmental studies have provided mixed evidence with regard to the question of whether children consider sample size and sample diversity in their inductive generalizations. Results from four experiments with 105 undergraduates, 105 school-age children (M = 7.2 years), and 105 preschoolers (M = 4.9 years) showed that preschoolers made a higher…

The use of value-added modeling (VAM) in school accountability is expanding. However, trying to decide how to embrace VAM can be rather nettlesome. Some experts claim it is "too unreliable," causes "more harm than good," and has "a big margin for error," while other experts assert VAM is "imperfect, but…

The study compared the effects of a refutation text on comprehension and learning outcomes to those of a standard expository text. Undergraduate students with varying amounts of accurate and inaccurate prior knowledge read and recalled a refutation or an expository text about energy. Comprehension measures included the amount of text information…

The article considers a test of specification for quantile regressions. The test relies on the increase of the objective function and the worsening of the fit when unnecessary constraints are imposed. It compares the objective functions of restricted and unrestricted models and, in its different formulations, it verifies (a) forecast ability, (b)…

Interactive read alouds are important learning opportunities for emergent readers because teachers and peers can actively model and scaffold comprehension strategies, engage readers, and cultivate a community of learners. Using data from a 9 month ethnographic study in an urban kindergarten classroom, this article describes how the teacher's…

Our research addresses the role that context expertise plays when students compare data. We report findings from a study conducted in 3 countries: Australia, United States, and Thailand. In each country, six middle school students analyzed authentic data relating to selected students' areas of interest. We examined the data analysis processes and…