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Applied Measurement in…

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Hirsch, Thomas M.	1
Miller, Timothy R.	1
Schiel, Jeffrey L.	1
Shaw, Dale G.	1

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Information Retention as a Function of the Number of Intervals and the Reliability of Continuous Variables.

Peer reviewed

Schiel, Jeffrey L.; Shaw, Dale G. – Applied Measurement in Education, 1992

Changes in information retention resulting from changes in reliability and number of intervals in scale construction were studied to provide quantitative information to help in decisions about choosing intervals. Information retention reached a maximum when the number of intervals was about 8 or more and reliability was near 1.0. (SLD)

Descriptors: Decision Making, Knowledge Level, Mathematical Models, Monte Carlo Methods

Cluster Analysis of Angular Data in Applications of Multidimensional Item-Response Theory.

Peer reviewed

Miller, Timothy R.; Hirsch, Thomas M. – Applied Measurement in Education, 1992

A procedure for interpreting multiple-discrimination indices from a multidimensional item-response theory analysis is described and demonstrated with responses of 1,635 high school students to a multiple-choice test. The procedure consists of converting discrimination parameter estimates to direction cosines and analyzing the angular distances…

Descriptors: Ability, Cluster Analysis, Comparative Analysis, Estimation (Mathematics)