To address the computational constraints of parameter estimation in the polytomous Cognitive Diagnosis Model (pCDM) in large-scale high data volume situations, this study proposes two two-stage polytomous attribute estimation methods: P_max and P_linear. The effects of the two-stage methods were studied via a Monte Carlo simulation study, and the…

To date, small sample problems with latent growth models (LGMs) have not received the amount of attention in the literature as related mixed-effect models (MEMs). Although many models can be interchangeably framed as a LGM or a MEM, LGMs uniquely provide criteria to assess global data-model fit. However, previous studies have demonstrated poor…

We discuss the learning goals, content, and delivery of a University of Plymouth intensive module delivered over four weeks entitled MATH1608PP Understanding Big Data from Social Networks, aimed at introducing students to a broad range of techniques used in modern Data Science. This module made use of R, accessed through RStudio, and some popular…

This is the second of a series of reports on trends in national community college enrollments. National community college enrollments continue to decrease, with variations at the state and local levels. The report also examines completion rates published by the U.S. Department of Education (ED) based on institutional level reporting, and those…

Open book assessment is not a new idea, but it does not seem to have gained ground in higher education. In particular, not much literature is available on open book examinations in mathematics and statistics in higher education. The objective of this paper is to investigate the appropriateness of open book assessments in a first-year business…

When subscores on a test are reported to the test taker, the appropriateness of reporting them depends on whether they provide useful information above what is provided by the total score. Subscores that fail to do so lack adequate psychometric quality and should not be reported. There are several methods for examining the quality of subscores,…

Along with the advent of MOOCs and other online learning platforms such as Khan Academy, the role of online education has continued to grow in relation to that of traditional on-campus instruction. Rather than tackle the problem of evaluating large educational units such as entire online courses, this paper approaches a smaller problem: exploring…

"Data modeling" is an approach that helps students to transform initial, and often misguided, understandings of variability and chance to forms of reasoning that coordinate chance with variability by designing learning environments that support this reasoning by allowing students to invent and revise models. The Assessing Data Modeling…

Using statewide longitudinal teacher survey data collected in 2009 and 2010, this study examined the characteristics of teacher evaluation used to determine performance-related pay (PRP), and the association between PRP and improvement in the practice of constructivist instruction. The study found that 10.9% of middle school mathematics teachers…

Background/Context: Principles of evidential reasoning have often been discussed in the context of educational and psychological measurement with respect to construct validity and validity arguments. More recently, Mislevy proposed the metaphor of assessment as an evidentiary argument about students' learning and abilities given their…

How many students repeat a grade each year? How do retention rates vary across states and over time? Despite extensive research on the predictors and consequences of grade retention, there is no systematic way to quantify state-level retention rates; even national estimates rely on imperfect proxy measures. We present a conceptually simple…

A jack knife is a pocket knife that is put to many tasks, because it's ready to hand. Often there could be a better tool for the job, such as a screwdriver, a scraper, or a can-opener, but these are not usually pocket items. In statistical terms, the expression implies making do with what's available. Another simile, of an extreme situation, is…

We propose a new limited-information goodness of fit test statistic C[subscript 2] for ordinal IRT models. The construction of the new statistic lies formally between the M[subscript 2] statistic of Maydeu-Olivares and Joe (2006), which utilizes first and second order marginal probabilities, and the M*[subscript 2] statistic of Cai and Hansen…

School districts and states across the Regional Educational Laboratory Mid-Atlantic Region and the country as a whole have been modifying their teacher evaluation systems to identify more effective and less effective teachers and provide better feedback to improve instructional practice. The new systems typically include components related to…

Statistics courses for prospective teachers are being developed in response to recent K-12 curriculum recommendations. As these courses are developed, it is important to design accompanying assessments. This manuscript describes a strategy for assessing aspects of statistical knowledge for teaching. The strategy involves analyzing and responding…