The Measurement of Growth

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Abstract
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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