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Direct linkFoster, Robert C. – Educational and Psychological Measurement, 2021
This article presents some equivalent forms of the common Kuder-Richardson Formula 21 and 20 estimators for nondichotomous data belonging to certain other exponential families, such as Poisson count data, exponential data, or geometric counts of trials until failure. Using the generalized framework of Foster (2020), an equation for the reliability…
Descriptors: Test Reliability, Data, Computation, Mathematical Formulas
Almehrizi, Rashid S. – Applied Measurement in Education, 2021
KR-21 reliability and its extension (coefficient [alpha]) gives the reliability estimate of test scores under the assumption of tau-equivalent forms. KR-21 reliability gives the reliability estimate for summed scores for dichotomous items when items are randomly sampled from an infinite pool of similar items (randomly parallel forms). The article…
Descriptors: Test Reliability, Scores, Scoring, Computation
Raju, Nambury S.; Oshima, T.C. – Educational and Psychological Measurement, 2005
Two new prophecy formulas for estimating item response theory (IRT)-based reliability of a shortened or lengthened test are proposed. Some of the relationships between the two formulas, one of which is identical to the well-known Spearman-Brown prophecy formula, are examined and illustrated. The major assumptions underlying these formulas are…
Descriptors: Item Response Theory, Test Reliability, Evaluation Methods, Computation
