In this study a standardized effect size was created for use with the SIBTEST procedure. Using this standardized effect size, a single set of heuristics was developed that are appropriate for data fitting different item response models (e.g., 2-parameter logistic, 3-parameter logistic). The standardized effect size rescales the raw beta-uni value…

Categorical data become increasingly ubiquitous in the modern big data era. In this dissertation, we propose novel statistical learning and inference methods for large-scale categorical data, focusing on latent variable models and their applications to psychometrics. In psychometric assessments, the subjects' underlying aptitude often cannot be…

This study addresses equating issues with varying sample sizes using the Rasch model by examining how sample size affects the stability of item calibrations and person ability estimates. A resampling design was used to create 9 sample size conditions (200, 100, 50, 45, 40, 35, 30, 25, and 20), each replicated 10 times. Items were recalibrated…

The demand for diagnostic feedback has triggered extensive research on cognitive diagnostic models (CDMs), such as the deterministic input, noisy output "and" gate (DINA) model. This study explored two Q-matrix specifications with the DINA model in a statewide large-scale mathematics assessment. The first Q-matrix was developed based on…

The purpose of this study is to explore the reliability of a potentially more practical approach to direct writing assessment in the context of ESL writing. Traditional rubric rating (RR) is a common yet resource-intensive evaluation practice when performed reliably. This study compared the traditional rubric model of ESL writing assessment and…

This article considers psychometric properties of composite raw scores and transformed scale scores on mixed-format tests that consist of a mixture of multiple-choice and free-response items. Test scores on several mixed-format tests are evaluated with respect to conditional and overall standard errors of measurement, score reliability, and…

The interpretation of psychometric test results is usually based on norm scores. We compared semiparametric continuous norming (SPCN) with conventional norming methods by simulating results for test scales with different item numbers and difficulties via an item response theory approach. Subsequently, we modeled the norm scores based on random…

The value-added method of Haberman is arguably one of the most popular methods to evaluate the quality of subscores. The method is based on the classical test theory and deems a subscore to be of added value if the subscore predicts the corresponding true subscore better than does the total score. Sinharay provided an interpretation of the added…

Given the important role that teachers play in supporting student mental health, it is critical teachers feel confident in their ability to fill such roles. To inform strategies intended to improve teacher confidence in supporting student mental health, a psychometrically sound tool assessing teacher school mental health self-efficacy is needed.…

The purpose of this study was to build a Random Forest supervised machine learning model in order to predict musical rater-type classifications based upon a Rasch analysis of raters' differential severity/leniency related to item use. Raw scores (N = 1,704) from 142 raters across nine high school solo and ensemble festivals (grades 9-12) were…

In this study, we propose aggregating test scores with unidimensional within-test structure and multidimensional across-test structure based on a 2-level, 1-factor model. In particular, we compare 6 score aggregation methods: average of standardized test raw scores (M1), regression factor score estimate of the 1-factor model based on the…

Classroom quality measures, such as the Early Childhood Environment Rating Scale, Revised (ECERS-R), are widely used in research, practice, and policy. Increasingly, these uses have been for purposes not originally intended, such as contributing to consequential policy decisions. The current study adds to the recent evidence of problems with the…

Classroom quality measures, such as the Early Childhood Environment Rating Scale, Revised (ECERS-R), are widely used in research, practice, and policy. Increasingly, these uses have been for purposes not originally intended, such as contributing to consequential policy decisions. The current study adds to recent evidence of problems with the…

The purpose of this simulation study was to assess the accuracy of a classical test theory (CTT)-based procedure for estimating the alternate-forms reliability of scores on a multistage test (MST) having 3 stages. We generated item difficulty and discrimination parameters for 10 parallel, nonoverlapping forms of the complete 3-stage test and…

Many statistical analyses benefit from the assumption that unconditional or conditional distributions are continuous and normal. More than 50 years ago in this journal, Lord and Cook chronicled departures from normality in educational tests, and Micerri similarly showed that the normality assumption is met rarely in educational and psychological…