1965
DOI: 10.1002/j.2333-8504.1965.tb00132.x
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The Axioms and Principal Results of Classical Test Theory

Abstract: Following an approach due to Guttman the axioms of the classical test theory model are shown to be derivable as constructions from a specified sampling rule and from the assumption that the observed score of an arbitrarily specified or randomly selected person may be considered as an observation of a random variable having finite and positive variance. Without further assumption the reliability of a test is defined. Parallel measurements are then independently defined, and the concept of replication is explica… Show more

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Cited by 137 publications
(181 citation statements)
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“…This theory evaluates rating scales in terms of their reliability, validity, and responsiveness. It assumes that the observed score (O) is the true score (T) plus measurement error (E), that is, O = T + E [67]. However, the values of T and E cannot be computed, and only the observed score is obtained and analyzed.…”
Section: Measurement Theories: Classical Test Theory and Latent Traitmentioning
confidence: 99%
“…This theory evaluates rating scales in terms of their reliability, validity, and responsiveness. It assumes that the observed score (O) is the true score (T) plus measurement error (E), that is, O = T + E [67]. However, the values of T and E cannot be computed, and only the observed score is obtained and analyzed.…”
Section: Measurement Theories: Classical Test Theory and Latent Traitmentioning
confidence: 99%
“…On a more general level, ETS researchers have played major roles in developing the CTT model and in putting it on firm foundations (Lord 1965;Novick 1965 …”
Section: Classical Test Theory and Reliabilitymentioning
confidence: 99%
“…27 However, the fact that these methods are derived from CTT means that their appropriateness requires that the theory and assumptions of CTT are supported by the data. If these requirements are not met, the conclusions arising from the data analysis may be incorrect.…”
Section: A Shows That a Variable Here Multiple Sclerosis (Ms) Disabimentioning
confidence: 99%