This paper presents the item and test information functions of the Rank two-parameter logistic models (Rank-2PLM) for items with two (pair) and three (triplet) statements in forced-choice questionnaires. The Rank-2PLM model for pairs is the MUPP-2PLM (Multi-Unidimensional Pairwise Preference) and, for triplets, is the Triplet-2PLM. Fisher's…

This paper is concerned with the process of selecting between the increasingly popular bi-factor model and the second-order factor model in measurement research. It is indicated that in certain settings widely used in empirical studies, the second-order model is nested in the bi-factor model and obtained from the latter after imposing appropriate…

The population relationship between coefficient alpha and scale reliability is studied in the widely used setting of unidimensional multicomponent measuring instruments. It is demonstrated that for any set of component loadings on the common factor, regardless of the extent of their inequality, the discrepancy between alpha and reliability can be…

This article outlines a readily applicable procedure for point and interval estimation of the population discrepancy between reliability and the popular Cronbach's coefficient alpha for unidimensional multi-component measuring instruments with uncorrelated errors, which are widely used in behavioral and social research. The method is developed…

Practitioners of adult education have a long history of teaching for social change. They may, however, be uncomfortable using quantitative methods to assess the impact of their learning activities, or they might lack access to statistical analysis software. Quantitative methods help the practitioner determine whether behavioral or attitudinal…

Researchers have implemented inclusive research for over 30 years. This article describes how two research projects collaborated with researchers with disabilities and aligns the description with four attributes of inclusive research developed by a consensus of international experts with and without disabilities. The first project, the Person…

A class of effect size indices are discussed that evaluate the degree to which two nested confirmatory factor analysis models differ from each other in terms of fit to a set of observed variables. These descriptive effect measures can be used to quantify the impact of parameter restrictions imposed in an initially considered model and are free…

For decades, schools nationwide have collected household income data to identify those eligible for free and reduced-price lunch programs. State leaders have long used this information as a proxy for student economic disadvantage--yet this data is insufficient to understand and address students' needs. Measures based on FRL data lack critical…

Evidence-based assessment (EBA) requires that investigators employ scientific theories and research findings to guide decisions about what domains to measure, how and when to measure them, and how to make decisions and interpret results. To implement EBA, investigators need high-quality assessment tools along with evidence-based processes. We…

The aim of this paper is to develop a model that addresses and bridges the gap between quality management and student experience. The model incorporates the most commonly occurring systems, namely: quality control; quality assurance; quality audit; quality assessment; quality enhancement; and quality management. The paper highlights the key…

It is demonstrated that the popular three-parameter logistic model can lead to markedly inaccurate individual ability level estimates for mixture populations. A theoretically and empirically important setting is initially considered where (a) in one of two subpopulations (latent classes) the two-parameter logistic model holds for each item in a…

Physical models for exploring multiplication are fixtures in elementary classrooms. The most widely used physical models of multiplication are collections of discrete things, such as Cuisenaire rods, Unifix Cubes, or Base-10 Blocks. But discrete physical models are limited in the products they can represent. By contrast, pictorial models, such as…

We propose a dyadic Item Response Theory (dIRT) model for measuring interactions of pairs of individuals when the responses to items represent the actions (or behaviors, perceptions, etc.) of each individual (actor) made within the context of a dyad formed with another individual (partner). Examples of its use include the assessment of…

Quantifying undergraduate participation in institutional research activities is challenging. This article describes an approach for estimating student participation in scholarly activities using a parametric model to follow the inflows and outflows of students in terms of classes (first-, second-, third-, and fourth-year students) and to control…

Percentage of body fat, age, weight, height, and 14 circumference measurements (e.g., waist) are given for 184 women aged 18-25. Body fat, one measure of health, was accurately determined by an underwater weighing technique which requires special equipment and training of the individuals conducting the process. Modeling body fat percentage using…