In this article, we have suggested a new modified mixed randomized response (RR) model and studied its properties. It is shown that the proposed mixed RR model is always more efficient than the Kim and Warde's mixed RR model. The proposed mixed RR model has also been extended to stratified sampling. Numerical illustrations and graphical…

Recently Watkins, Bargagliotti, and Franklin (2014) discovered that simulations of the sampling distribution of the mean can mislead students into concluding that the mean of the sampling distribution of the mean depends on sample size. This potential error arises from the fact that the mean of a simulated sampling distribution will tend to be…

Many statistical analyses benefit from the assumption that unconditional or conditional distributions are continuous and normal. More than 50 years ago in this journal, Lord and Cook chronicled departures from normality in educational tests, and Micerri similarly showed that the normality assumption is met rarely in educational and psychological…

The author responds to the article by Warne, Godwin, and Smith (2013) on the question of whether there are more gifted people than would be expected in a Gaussian normal distribution. He asserts that the answer to this question is yes, based on (a) data that he and his colleagues have collected, (b) data that are already available and quoted by…

Meta-analytic structural equation modeling (MASEM) involves fitting models to a common population correlation matrix that is estimated on the basis of correlation coefficients that are reported by a number of independent studies. MASEM typically consist of two stages. The method that has been found to perform best in terms of statistical…

This thesis examined middle school students' current understanding of variability using a constructed response item assessment question. Variability is an essential concept in the teaching and learning of statistics. However, many students have difficulty with the concept of variability especially when constructing boxplots. Using a framework…

In "Progress in International Reading Literacy Study" (PIRLS) educational inequalities are measured, amongst others, through the relationship between students' reading achievements and the home resource for learning (HRL) scale. By applying the partial credit model and using the WLE estimates for the person parameters it is accepted that…

Policies on international student mobility (ISM) have the capacity to structure both flows of students and the representations of globally mobile students through discourse. This paper draws on a text-based analysis of British policy discourses and secondary analysis of published statistics. It uses problematisation analysis to examine how…

This study uses the PIAAC data to examine the relationships between education system characteristics (e.g. early tracking and vocational education orientation) and distributions of adult numeracy skills. It also investigates the effects of postponing the tracking age and easing university access for students on a vocational track on the average…

The underrepresentation of women in secondary school headship in England and elsewhere is an early and longstanding theme in the women and gender in educational leadership literature. The purpose of this article is to report findings from a statistical survey of secondary school head teachers across England. Data available in the public domain on…

Libraries before the 21st century carried out daily routine library task such as cataloguing and classification, acquisition, reference services etc using manual procedures only but the advent of Information Technology as transformed these routine task that libraries can now automate their activities by deploying the use of library software in…

Box plots are frequently misinterpreted and educational attempts to correct these misinterpretations have not been successful. In this study, we used two instructional techniques that seemed powerful to change the misinterpretation of the area of the box in box plots, both separately and in combination, leading to three experimental conditions,…

For Fall 2016, of the 175,509 students enrolled in the Utah System of Higher Education at third week, 69,535 (39.6 %) are participating in some form of technology delivered instruction. Of that total, 54,269 (30.9%) enrolled in at least one online class. Despite availability of online courses and degrees, students prefer using online courses to…

Growth curve modeling provides a general framework for analyzing longitudinal data from social, behavioral, and educational sciences. Bayesian methods have been used to estimate growth curve models, in which priors need to be specified for unknown parameters. For the covariance parameter matrix, the inverse Wishart prior is most commonly used due…

We consider the relative performance of two common approaches to multiple imputation (MI): joint multivariate normal (MVN) MI, in which the data are modeled as a sample from a joint MVN distribution; and conditional MI, in which each variable is modeled conditionally on all the others. In order to use the multivariate normal distribution,…