We introduce a multidimensional item response theory (IRT) model for binary data based on a proximity response mechanism. Under the model, a respondent at the mode of the item response function (IRF) endorses the item with probability one. The mode of the IRF is the ideal point, or in the multidimensional case, an ideal hyperplane. The model…

Objective: To examine the time to response for both pharmacotherapy and psychotherapy in the Treatment for Adolescents with Depression Study (TADS). Method: Adolescents (N = 439, ages 12 to 17 years) with major depressive disorder were randomized to fluoxetine (FLX), cognitive-behavioral therapy (CBT), their combination (COMB), or pill placebo…

Objective: The validity and clinical utility of the Reynolds Adolescent Depression Scale, Beck Hopelessness Scale, Suicidal Ideation Questionnaire-Junior, and Suicide Probability Scale (SPS) were examined longitudinally among suicidal adolescents. Method: Between 1998 and 2000, 289 psychiatrically hospitalized, suicidal youth, ages 12 to 17 years,…

South Africa has a Gini co-efficient of 62, one of the world's highest (Finmark: Project FinScope 2004 and 2005, FinMark Trust, Johannesburg). Hence, measures of wealth are ubiquitous social indicators in South Africa. However, a growing emphasis in government towards measurable service delivery targets and remedial action to redress the…

The What Works Clearinghouse (WWC) reviewed interventions to promote middle school students' math knowledge and skills. Because there is some variation in how school districts organize middle school, we considered curricula aimed at students in grades 6 through 9, covering one or more of the following content areas: numbers and operations,…

This paper provides new information on what proportion of individuals spend their adult work lives in their childhood metropolitan area or state. I also examine how this proportion varies across different demographic groups, and with the size and growth rate of the metropolitan area. I find that the proportion of individuals who spend most of…

The authors present an analysis of portfolio entries submitted by candidates seeking certification by the National Board for Professional Teaching Standards in the area of Early Adolescence/Mathematics. Analyses of mathematical features revealed that the tasks used in instruction included a range of mathematics topics but were not consistently…

Educational assessment concerns inference about students' knowledge, skills, and accomplishments. Because data are never so comprehensive and unequivocal as to ensure certitude, test theory evolved in part to address questions of weight, coverage, and import of data. The resulting concepts and techniques can be viewed as applications of more…

A Monte Carlo approach is proposed, using the Statistical Analysis System (SAS) programming language, for estimating reliability coefficients in generalizability theory studies. Test scores are generated by a probabilistic model that considers the probability for a person with a given ability score to answer an item with a given difficulty…

This book contains activities and projects designed to be congruent with three underlying philosophies: the National Council of Teachers of Mathematics' Curriculum and Evaluation Standards; Howard Gardner's multiple intelligences; and manipulatives, activities, and projects. The introduction contains information about educational reforms; multiple…

The existence of probability misconceptions at all levels has been well documented. Furthermore, these misconceptions have been shown to be widespread and highly resistant to change. Previous research has shown considerable success in overcoming misconceptions in the short term by basing the knowledge reconstruction process on problems which draw…

This study investigated the impact of task directions on the mathematical performance of high school students from six classes. Students analyzed data regarding school dropout by answering six short-answer questions and writing a letter discussing the trends and their predictions about school dropout. Tasks were scored using two methods: (1) trait…

This book contains a classroom-tested approach to the teaching of problem solving to all students in Grades 4-6, regardless of ability. Information on problem solving in general is provided, then mathematical problems on logic, whole numbers, number theory, fractions, decimals, geometry, ratio, proportion, percent, probability, sets, and…

A pivotal theorem which is of critical importance to statistical inference in probability and statistics is the Central Limit Theorem (CLT). The theorem concerns the sampling distribution of random samples taken from a population, including population distributions that do not have to be normal distributions. This paper contains a brief history of…

This Monte Carlo study examines whether, given various numbers of variables, treatments, and sample sizes, in a one-way multivariate analysis of variance, Type I error rates of the test approximations provided by the BMDP program, the Statistical Analysis System (SAS), and the Statistical Package for the Social Sciences (SPSS) for Roy's largest…