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Roberts, James S. – Applied Psychological Measurement, 2008
Orlando and Thissen (2000) developed an item fit statistic for binary item response theory (IRT) models known as S-X[superscript 2]. This article generalizes their statistic to polytomous unfolding models. Four alternative formulations of S-X[superscript 2] are developed for the generalized graded unfolding model (GGUM). The GGUM is a…
Descriptors: Item Response Theory, Goodness of Fit, Test Items, Models
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Wainer, Howard – Journal of Educational and Behavioral Statistics, 2010
In this essay, the author tries to look forward into the 21st century to divine three things: (i) What skills will researchers in the future need to solve the most pressing problems? (ii) What are some of the most likely candidates to be those problems? and (iii) What are some current areas of research that seem mined out and should not distract…
Descriptors: Research Skills, Researchers, Internet, Access to Information
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Fisher, K. M.; Lipson, Joseph I. – Instructional Science, 1985
Summarizes information processing models of the mind based on a literature review; describes a prototypical model of college learning; examines links between mental models and cognitive errors; reviews cognitive science students; and identifies six factors contributing to cognitive error production. (104 references) (Author/MBR)
Descriptors: Cognitive Processes, Cognitive Style, Error Patterns, Higher Education
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Blando, John A.; And Others – Journal for Research in Mathematics Education, 1989
Seventh-grade students were tested to uncover arithmetic errors. Answers and intermediate steps were analyzed and models to represent students' behavior were developed. Certain errors were common across students. Others were tied to the format of the test item. Some superficial understandings of mathematical concepts were exposed. (Author/DC)
Descriptors: Algorithms, Arithmetic, Computation, Error Patterns
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Sandberg, J. A. C.; DeRuiter, H. – Instructional Science, 1985
Presents five simulation models reflecting sequential levels of children's simple arithmetic story problem solving skills. Outputs of the models are compared with data obtained by presenting 60 five- to eight-year-olds with change problems to examine models' deterministic nature. Results indicate the models give an adequate description of behavior…
Descriptors: Arithmetic, Change, Comparative Analysis, Error Patterns
Birenbaum, Menucha; And Others – 1992
Diagnoses of students' performance on procedural mathematical tasks need to display a certain level of stability and robustness if they are to be used as the basis for remediation, particularly with computer-delivered instruction. The purpose of this study was to compare two diagnostic approaches for describing students' (n=231) errors in algebra…
Descriptors: Algebra, Cognitive Structures, Computer Assisted Instruction, Educational Diagnosis