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Peer reviewedTatsuoka, Kikumi K. – Journal of Educational Statistics, 1985
A probablistic approach to classification and diagnosis of erroneous rules of operations that result from misconceptions ("bugs") in a procedural domain of arithmetic is introcuced. Variability of response errors is explicitly treated through item response theory. As a concrete example, a signed-number subtraction dataset is analyzed.…
Descriptors: Arithmetic, Educational Diagnosis, Elementary Education, Error Patterns
Download full textTatsuoka, Kikumi K.; Tatsuoka, Maurice M. – 1982
Several extended caution indices (ECIs) have been introduced earlier as a link between two distinctly different approaches: one based on standard statistics and the other, a model-based approach, utilizing item response theory (IRT). Expected values and variance of some ECIs are derived and their statistical properties are compared and discussed.…
Descriptors: Error Patterns, Higher Education, Latent Trait Theory, Models
