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Tatsuoka, Kikumi K.; Tatsuoka, Maurice M. – 1980
An index measuring the degree to which a binary response pattern conforms to some baseline pattern was defined and named the Pattern Conformity Index (PCI). One way of conceptualizing what the PCI measures is the extent to which each individual's particular response pattern contributes to, or detracts from, the overall consistency found in the…
Descriptors: Error Patterns, Goodness of Fit, Item Analysis, Mathematical Models
Peer reviewed Peer reviewed
Tatsuoka, Kikumi, K.; Tatsuoka, Maurice M. – Journal of Educational Statistics, 1982
Two indices for measuring the degree of conformity or consistency of an individual examinee's response pattern on a set of items are developed. The use of the indices for spotting aberrant response patterns of examinees is detailed. (Author/JKS)
Descriptors: Error of Measurement, Error Patterns, Goodness of Fit, Item Analysis
Tatsuoka, 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
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Tatsuoka, Kikumi K.; Tatsuoka, Maurice M. – Journal of Educational Measurement, 1983
This study introduces the individual consistency index (ICI), which measures the extent to which patterns of responses to parallel sets of items remain consistent over time. ICI is used as an error diagnostic tool to detect aberrant response patterns resulting from the consistent application of erroneous rules of operation. (Author/PN)
Descriptors: Achievement Tests, Algorithms, Error Patterns, Measurement Techniques
Peer reviewed Peer reviewed
Tatsuoka, Kikumi K.; Tatsuoka, Maurice M. – Psychometrika, 1987
The rule space model permits measurement of cognitive skill acquisition and error diagnosis. Further discussion introduces Bayesian hypothesis testing and bug distribution. An illustration involves an artificial intelligence approach to testing fractions and arithmetic. (Author/GDC)
Descriptors: Bayesian Statistics, Cognitive Measurement, Error Patterns, Hypothesis Testing
Tatsuoka, Kikumi K.; Tatsuoka, Maurice M. – 1986
The rule space model permits measurement of cognitive skill acquisition, diagnosis of cognitive errors, and detection of the strengths and weaknesses of knowledge possessed by individuals. Two ways to classify an individual into his or her most plausible latent state of knowledge include: (1) hypothesis testing--Bayes' decision rules for minimum…
Descriptors: Artificial Intelligence, Bayesian Statistics, Cognitive Development, Computer Assisted Testing
Tatsuoka, Kikumi K.; Tatsuoka, Maurice M. – 1985
The study examines the rule space model, a probabilistic model capable of measuring cognitive skill acquisition and of diagnosing erroneous rules of operation in a procedural domain. The model involves two important components: (1) determination of a set of bug distributions (bug density functions representing clusters around the rules); and (2)…
Descriptors: Artificial Intelligence, Cognitive Processes, Computer Assisted Testing, Computer Software