In a 1984 essay, Benjamin Bloom, an educational psychologist at the University of Chicago, asserted that tutoring offered "the best learning conditions we can devise" and that tutors could raise student achievement by two full standard deviations--or, in statistical parlance, two "sigmas." The influence of Bloom's two-sigma…

Trend scoring constructed response items (i.e. rescoring Time A responses at Time B) gives rise to two-way data that follow a product multinomial distribution rather than the multinomial distribution that is usually assumed. Recent work has shown that the difference in sampling model can have profound negative effects on statistics usually used to…

The Program for the International Assessment of Adult Competencies (PIAAC) is a multicycle survey of adult skills and competencies sponsored by the Organization for Economic Cooperation and Development (OECD). The survey examines a range of basic skills in the information age and assesses these adult skills consistently across participating…

Recently, Nissen et al. argued in this journal for the use of Cohen's d, in place of the more commonly used normalized gain, in the analysis of preinstruction and postinstruction scores on concept inventories used to measure the effectiveness of instruction. Their reason for advocating such a change is that they say normalized gains are…

Many of the numbers used to assess students are statistical in nature. The theoretical context underlying the production of a typical number or statistic used in student assessment is presented. The author urges readers to recognize objective data as subjective information and to carefully consider the numbers that often determine admission,…

Test score distributions of schools or demographic groups are often summarized by frequencies of students scoring in a small number of ordered proficiency categories. We show that heteroskedastic ordered probit (HETOP) models can be used to estimate means and standard deviations of multiple groups' test score distributions from such data. Because…

In this article, the authors applied profile analysis to Maths exam data to demonstrate how different exam forms, differing in difficulty and length, can be reported and easily interpreted. The results were presented for different groups of participants and for different institutions in different Maths domains by evaluating the balance. Some…

This rejoinder keeps the original focus on statistical computing pertaining to the correlation of student achievement between mathematics and science from the Trend in Mathematics and Science Study (TIMSS). Albeit the availability of student performance data in TIMSS and the emphasis of the inter-subject connection in the Next Generation Science…

Idaho uses the English Language Arts and Mathematics tests from the Smarter Balanced Assessment Consortium (SBAC) for the Idaho Standard Achievement Tests (ISAT). ISAT results have been have been reported almost exclusively as "percent proficient" statistics (i.e., the percentage of Idaho students who performed at the "A" level…

In this article, the authors present the adaptation and validation processes conducted to render the American "Test of Financial Literacy" (TFL) suitable for use in Germany (TFL-G). First, they outline the translation procedure followed and the various cultural adjustments made in line with international standards. Next, they present…

The Reisman Diagnostic Creativity Assessment (RDCA) is a free online self-report creativity assessment that provides immediate feedback to the user and is diagnostic, rather than predictive, with the focus on making the user aware of creative strengths and weaknesses. Several engineering and teacher education studies have included the RDCA over a…

This Fall report is an aggregated statistical analysis of Measures of Academic Progress® (MAP®) data from international schools. The report provides a consistent means of comparisons of specific sub-groups by subject and grade, which allows partners to compare their MAP® results with other schools within their region or membership organization.…

The Smarter Balanced Assessment Consortium is one of two multi-state consortia that have built new assessment systems aligned to the Common Core State Standards. The Smarter Balanced Assessment Consortium is composed of 18 states and the U.S. Virgin Islands that have worked together to develop a comprehensive assessment system aligned to the…

There are but a handful of experimental or quasi-experimental studies comparing student outcomes from flipped or inverted classrooms to more traditional lecture formats. In the current study, I present cumulative exam performance and student evaluation data from two sections of a statistics course I recently taught: one a traditional lecture (N =…

Content and language integrated learning (CLIL) programmes are mushrooming in many different contexts. However, research has mainly focused on their impact on foreign language learning and to a lesser extent on L1 development, whereas the number of studies undertaken in multilingual contexts in which more than two languages coexist is negligible.…