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April E. Cho; Jiaying Xiao; Chun Wang; Gongjun Xu – Grantee Submission, 2022
Item factor analysis (IFA), also known as Multidimensional Item Response Theory (MIRT), is a general framework for specifying the functional relationship between a respondent's multiple latent traits and their response to assessment items. The key element in MIRT is the relationship between the items and the latent traits, so-called item factor…
Descriptors: Factor Analysis, Item Response Theory, Mathematics, Computation
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Green, Samuel B.; Yang, Yanyun – Educational Measurement: Issues and Practice, 2015
In the lead article, Davenport, Davison, Liou, & Love demonstrate the relationship among homogeneity, internal consistency, and coefficient alpha, and also distinguish among them. These distinctions are important because too often coefficient alpha--a reliability coefficient--is interpreted as an index of homogeneity or internal consistency.…
Descriptors: Reliability, Factor Analysis, Computation, Factor Structure
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Purpura, David J.; Lonigan, Christopher J. – American Educational Research Journal, 2013
Validating the structure of informal numeracy skills is critical to understanding the developmental trajectories of mathematics skills at early ages; however, little research has been devoted to construct evaluation of the Numbering, Relations, and Arithmetic Operations domains. This study was designed to address this knowledge gap by examining…
Descriptors: Arithmetic, Numeracy, Mathematics Skills, Training Methods