To compute the probability of having a disease, given a positive test result, is a standard probability problem. The sensitivity and specificity of the test must be given and the prevalence of the disease. We ask how a test-maker might determine the tradeoff between sensitivity and specificity. Adding hypothetical costs for detecting or failing to…

In the nonequivalent groups with anchor test (NEAT) design, the standard error of linear observed-score equating is commonly estimated by an estimator derived assuming multivariate normality. However, real data are seldom normally distributed, causing this normal estimator to be inconsistent. A general estimator, which does not rely on the…

Latent class regression models relate covariates and latent constructs such as psychiatric disorders. Though full maximum likelihood estimation is available, estimation is often in three steps: (i) a latent class model is fitted without covariates; (ii) latent class scores are predicted; and (iii) the scores are regressed on covariates. We propose…

Mutual support societies for problem gamblers have existed in Sweden for 20 years. They have helped more people with gambling problems than any other institution inside or outside the Swedish health care system. This paper outlines the background of these societies and describes the meetings of one of them. Data come from interviews with members…

We construct semigroups with any given positive rational commuting probability, extending a Classroom Capsule from November 2008 in this Journal.

Failure to initiate and remain engaged in academic tasks can have long-lasting effects for students. In this study, we investigated the effects of high-preference sequences on both digits correct per minute and latency to initiate nonpreferred mathematics problems for 3 students with emotional and behavioral disorders. We found that…

This multiple-study experiment evaluated the utility of assessing and treating severe self-injurious behavior (SIB) based on the outcomes of a functional analysis of precursor behavior. In Study 1, a precursor to SIB was identified using descriptive assessment and conditional probability analyses. In Study 2, a functional analysis of precursor…

Research on the high-probability (high-p) request sequence shows that compliance with low-probability (low-p) requests generally increases when preceded by a series of high-p requests. Few studies have conducted formal preference assessments to identify the consequences used for compliance, which may partly explain treatment failures, and still…

This article describes some misconceptions about random variables and related counter-examples, and makes suggestions about teaching initial topics on random variables in general form instead of doing it separately for discrete and continuous cases. The focus is on post-calculus probability courses. (Contains 2 figures.)

Socioeconomic integration in schools has been shown to bring positive academic and nonacademic outcomes to disadvantaged students attending them. The academic benefits of integration on advantaged students are, by contrast, less evident. Effective integrated schools are those that promote disadvantaged students' outcomes yet advantaged students do…

Research on achievement gaps has found that achievement gaps are larger for students who take advanced mathematics courses compared to students who do not. Focusing on the advanced mathematics student achievement gap, this study found that African American advanced mathematics students have significantly lower test scores and are less likely to be…

The focus of the present study was on the mediation and moderation effects of reading processes as evidenced from eye movements on the relation between cognitive and linguistic student characteristics (word decoding, vocabulary, comprehension skill, short-term memory, working memory, and nonverbal intelligence) and text comprehension. Forty 4th…

Teacher based is the usual instructional method used by most teachers in high school. Traditionally, teachers direct the learning and students work individually and assume a receptive role in their education. Student based learning approach is an instructional use of small groups of students working together to accomplish shared goals to increase…

The aim of this study is to explore the effects of the argumentation based science learning (ABSL) approach on the teaching probability to pre-service teachers. The sample of the study included 41 students studying at the Department of Elementary School Mathematics Education in a public university during the 2014-2015 academic years. The study is…

The study of additional languages is mandatory for all pupils in most European countries. Usually, the first foreign language is English. This is due to the status of English as a global language. According to inclusion laws, pupils with special educational needs (SEN) should be taught in regular classes with support services by teachers with…