A Theoretical Distribution for Mental Test Scores
- 1 March 1962
- journal article
- research article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 27 (1) , 59-72
- https://doi.org/10.1007/bf02289665
Abstract
The negative hypergeometric distribution of raw scores on mental tests is derived from certain assumptions relating to test theory. This result is checked empirically in a number of examples. Further derivations lead to the bivariate distribution of parallel tests which is also verified with actual data. The bivariate distribution of raw score and true score is also derived from a further assumption. This distribution is used to set confidence limits for true scores for persons with a given raw score.Keywords
This publication has 4 references indexed in Scilit:
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- Problems in Mental Test Theory Arising from Errors of MeasurementJournal of the American Statistical Association, 1959
- A Survey of Observed Test-Score Distributions With Respect to Skewness and Kurtosis1Educational and Psychological Measurement, 1955
- Variation of the Standard Error of MeasurementPsychometrika, 1949