Previous knowledge of the difficulty index and the intercorrelations of the items will allow groupresults to be predicted and manipulated. A compound binomial probability function of a testscore is established for which a computer program has been written. 1 Three item selections and the appropriate probability distributions are given which give an illustration of the statement made above.
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References
1.
Lord, F. M. and Novick, M. R.Statistical theories of mental test scores, Reading, Mass.: Addison-Wesley, 1968.
2.
Sullins, W.Reliability estimation for tests containing sequentially dependent items. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1973, 33, 621-625.
