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	Volume 32, Issue 2 Pg 101 - 209 (August 2010)
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Far East Journal of Theoretical Statistics

Far East Journal of Theoretical Statistics
Volume 32, Issue 1, Pages 81 - 99 (July 2010)

PSYCHOLOGICAL TESTS IN MEASUREMENT THEORY
Kohshi Kikuchi and Shiro Ishikawa

Abstract:
The purpose of this paper is to show the measurement theoretical approach to a problem of analyzing scores of tests for students. The obtained score is assumed to be the sum of a true value and a measurement error caused by the test, in which a student’s score is subject to a systematic error (= noise) depending on his/her health or psychological condition at the test. In such cases, statistical measurements are convenient since these two errors in measurement theory can be characterized in the different mathematical structures, respectively. As a result, we show that “reliability coefficient” = “correlation coefficient” in the clearer formulation.

Keywords and phrases: psychological test, quantitative language, measurement theory, Occam’s razor, Bell’s inequality, split-half method.

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P-ISSN: 0972-0863

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