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Zazueta-Hernández, Jorge Antonio; López-Barrientos, José Daniel – Teaching Statistics: An International Journal for Teachers, 2021
This paper walks the reader through a simple mathematical characterization of the popular children's game, "Chutes and Ladders," focusing primarily on Monte Carlo simulation. The focus is then shifted to the board game "No Te Enojes" in order to analyze the implications of the introduction of strategy. The presence of strategy…
Descriptors: Games, Monte Carlo Methods, Generalization, Mathematics
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