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Arribas, E.; Escobar, I.; Ramirez-Vazquez, R. – International Journal of Mathematical Education in Science and Technology, 2021
In the article 'How Long Is My Toilet Roll--A Simple Exercise in Mathematical Modelling' several models of increasing complexity are introduced and solved to calculate indirectly the length of paper on a toilet-roll. All these results are presented without errors. The authors of this comment believe the error analysis of measurements made in a…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Models, Computation
Petrosino, Anthony J.; Mann, Michele J. – Journal of College Science Teaching, 2018
Although data modeling, the employment of statistical reasoning for the purpose of investigating questions about the world, is central to both mathematics and science, it is rarely emphasized in K-16 instruction. The current work focuses on developing thinking about data modeling with undergraduates in general and preservice teachers in…
Descriptors: Undergraduate Students, Preservice Teachers, Mathematical Models, Data
Sinex, Scott A; Gage, Barbara A.; Beck, Peggy J. – AMATYC Review, 2007
A simple, guided-inquiry investigation using stacked sandwich cookies is employed to develop a simple linear mathematical model and to explore measurement error by incorporating errors as part of the investigation. Both random and systematic errors are presented. The model and errors are then investigated further by engaging with an interactive…
Descriptors: Mathematical Models, Measurement, Error of Measurement, Science Process Skills

Whitely, Susan E. – Journal of Educational Measurement, 1977
A debate concerning specific issues and the general usefulness of the Rasch latent trait test model is continued. Methods of estimation, necessary sample size, and the applicability of the model are discussed. (JKS)
Descriptors: Error of Measurement, Item Analysis, Mathematical Models, Measurement

Wright, Benjamin D. – Journal of Educational Measurement, 1977
Statements made in a previous article of this journal concerning the Rasch latent trait test model are questioned. Methods of estimation, necessary sample sizes, several formuli, and the general usefulness of the Rasch model are discussed. (JKS)
Descriptors: Computers, Error of Measurement, Item Analysis, Mathematical Models

Brennan, Robert L.; Kane, Michael T. – Psychometrika, 1977
Using the assumption of randomly parallel tests and concepts from generalizability theory, three signal/noise ratios for domain-referenced tests are developed, discussed, and compared. The three ratios have the same noise but different signals depending upon the kind of decision to be made as a result of measurement. (Author/JKS)
Descriptors: Comparative Analysis, Criterion Referenced Tests, Error of Measurement, Mathematical Models

Werts, C. E.; And Others – Educational and Psychological Measurement, 1976
A procedure is presented for the analysis of rating data with correlated intrajudge and uncorrelated interjudge measurement errors. Correlations between true scores on different rating dimensions, reliabilities for each judge on each dimension and correlations between intrajudge errors can be estimated given a minimum of three raters and two…
Descriptors: Correlation, Data Analysis, Error of Measurement, Error Patterns
Kane, Michael T. – 1980
The reliability and validity of measurement is analyzed by a sampling model based on generalizability theory. A model for the relationship between a measurement procedure and an attribute is developed from an analysis of how measurements are used and interpreted in science. The model provides a basis for analyzing the concept of an error of…
Descriptors: Attribution Theory, Behavioral Sciences, Error of Measurement, Mathematical Models
Brennan, Robert L. – 1977
Rules, procedures, and algorithms intended to aid researchers and practitioners in the application of generalizability theory to a broad range of measurement problems are presented. Two examples of measurement research are G studies, which examine the dependability of some general measurement procedure; and D studies, which provide the data for…
Descriptors: Analysis of Variance, Error of Measurement, Mathematical Models, Measurement
Linn, Robert L.; Werts, Charles E. – 1971
Failure to consider errors of measurement when using partial correlation or analysis of covariance techniques can result in erroneous conclusions. Certain aspects of this problem are discussed and particular attention is given to issues raised in a recent article by Brewar, Campbell, and Crano. (Author)
Descriptors: Analysis of Covariance, Analysis of Variance, Comparative Analysis, Correlation