A regression formula is derived for estimating a student's true gain from his initial and final test scores. A formula is given for the reliability of estimates thus obtained. A numerical example is given, illustrating some marked inadequacies of the simple, "common-sense" procedure that estimates gain by subtracting initial from final score. A convenient graphic procedure is presented for grouping all examinees tested according to the size of their estimated true gains.
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References
1.
Gulliksen, H.Theory of Mental Tests. New York: John Wiley & Sons, 1950, p. 353.