This multiple-manuscript dissertation explored the measurement invariance (MI) testing with multiple-group confirmatory factor analysis (MG-CFA) approach from different perspectives. Study 1 explored MI from a theoretical perspective by conducting a systematic review study on MI practices in education. The findings of this study indicated…

Measurement invariance is crucial for making valid comparisons across different groups (Kline, 2016; Vandenberg, 2002). To address the challenges associated with invariance testing such as large sample size requirements, the complexity of the model, etc., applied researchers have incorporated parcels. Parcels have been shown to alleviate skewness,…

This dissertation investigates the inequitable distribution and causal impacts of mathematics teachers' content knowledge for teaching (CKT) on instructional quality and student learning outcomes. Using the rich information in the Measures of Effective Teaching (MET) project longitudinal database, the study addresses three core research questions:…

Students' responses to Word Dictation curriculum-based measurement (CBM) in writing tend to include a lot of missing values, especially items not reached due to the three-minute test time limit. A large amount of non-ignorable not-reached responses in Word Dictation can be considered using alternative item response theory (IRT) approaches. In…

Augmentation procedures are designed to provide better estimates for a given test or subtest through the use of collateral information. The main purpose of this dissertation was to use Haberman's and Wainer's augmentation procedures on a large-scale, standardized achievement test to understand the relationship between reliability and…

Attention Deficit/Hyperactivity Disorder (ADHD) is one of the most prevalent childhood disorders in the United States. Although many children with an ADHD diagnosis are prescribed medication to control symptoms, behavioral concerns are still regularly noted in the classroom, home, and other settings. Therefore, school psychologists are often…

This dissertation comprises three papers that propose, discuss, and illustrate models to make improved inferences about research questions regarding student achievement in education. Addressing the types of questions common in educational research today requires three different "extensions" to traditional educational assessment: (1)…

Effective policymaking requires understanding the causal effects of competing proposals. Relevant causal quantities include proposals' expected effect on different groups of recipients, the impact of policies over time, the potential trade-offs between competing objectives, and, ultimately, the optimal policy. This dissertation studies causal…

Phonics was identified as one of the critical components in reading development by the National Reading Panel. Over time, research has repeatedly identified phonics as important to early reading development. Given the compelling evidence supporting the teaching of phonics in early reading, it is critical to make sure that instructional decisions…