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Cassiday, Kristina R.; Cho, Youngmi; Harring, Jeffrey R. – Educational and Psychological Measurement, 2021
Simulation studies involving mixture models inevitably aggregate parameter estimates and other output across numerous replications. A primary issue that arises in these methodological investigations is label switching. The current study compares several label switching corrections that are commonly used when dealing with mixture models. A growth…
Descriptors: Probability, Models, Simulation, Mathematics
Tamara Broderick; Andrew Gelman; Rachael Meager; Anna L. Smith; Tian Zheng – Grantee Submission, 2022
Probabilistic machine learning increasingly informs critical decisions in medicine, economics, politics, and beyond. To aid the development of trust in these decisions, we develop a taxonomy delineating where trust in an analysis can break down: (1) in the translation of real-world goals to goals on a particular set of training data, (2) in the…
Descriptors: Taxonomy, Trust (Psychology), Algorithms, Probability
Klingbeil, David A.; Van Norman, Ethan R.; Nelson, Peter M. – Assessment for Effective Intervention, 2021
This direct replication study compared the use of dichotomized likelihood ratios and interval likelihood ratios, derived using a prior sample of students, for predicting math risk in middle school. Data from the prior year state test and the Measures of Academic Progress were analyzed to evaluate differences in the efficiency and diagnostic…
Descriptors: Achievement Tests, Grade 6, Grade 7, At Risk Students
Jones, Joshua David – Mathematics Teacher: Learning and Teaching PK-12, 2022
To be literate in a society where the information shared online is often exploited, learners should be exposed to multiple aspects of contemporary predictive modeling. This article explores an activity in which grade 10 students learned how a famous AI algorithm (the Apriori algorithm) uses conditional probability to automate the process of…
Descriptors: Mathematics Instruction, Teaching Methods, Grade 10, High School Students