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…

The aim of the study is to reveal the concurrent validity of the Central Examination of Secondary Education Institutions (OKMS). For this purpose, the relationship between the OKMS subtest raw scores of the students who took the exam and the 8th-grade year-end achievement scores of the courses within the scope of the exam was analyzed by canonical…

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…

In the fall semester of 2020, 269 Japanese university students were compared in a quasi-experimental study to determine whether extensive and intensive listening interventions yielded significant gains in L2 listening comprehension. At the beginning of the study, 269 students took a 100-item L2 listening exam, and were randomly placed into an…

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…

Background: Fragile X syndrome (FXS) is the most common inherited cause of intellectual disability. The aim of our longitudinal study was to describe ageing-related cognitive changes in men with FXS. Method: A neuropsychologist determined the raw scores (RSs) of 19 men with FXS twice with the Leiter International Performance Scale at an average…

The purpose of this study was to investigate the latent structure type (categorical vs. dimensional) of bullying perpetration in a large sample of middle school students. A nine-item bullying scale was administered to 1,222 (625 boys, 597 girls) early adolescents enrolled in middle schools in a Midwestern state. Based on the results of a principal…

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…

Students with complex support needs require individualized education programs (IEPs) to describe their present levels of academic achievement and functional performance (PLAAFP), and the annual goals and supplementary aids and services (SAS) that will be provided to enable them to make progress in the least restrictive environment. Previous…

Students with complex support needs require individualized education programs (IEPs) to describe their present levels of academic achievement and functional performance (PLAAFP), and the annual goals and supplementary aids and services (SAS) that will be provided to enable them to make progress in the least restrictive environment. Previous…

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…

There has been a marked increase in accommodation requests from students with disabilities at both the postsecondary education level and on high-stakes examinations. As such, accurate identification and quantification of normative impairment is essential for equitable provision of accommodations. Considerable diversity currently exists in methods…

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 purpose of this study was to evaluate the effectiveness of linking test scores by using test takers' background data to form pseudo-equivalent groups (PEG) of test takers. Using 4 operational test forms that each included 100 items and were taken by more than 30,000 test takers, we created 2 half-length research forms that had either 20…

Background: Individuals with Down syndrome generally show a floor effect on Wechsler Scales that is manifested by flat profiles and with many or all of the weighted scores on the subtests equal to 1. Method: The main aim of the present paper is to use the statistical Hessl method and the extended statistical method of Orsini, Pezzuti and Hulbert…