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A partitioning technique for defining instructional groups
Authors:Frank B Baker  Lawrence J Hubert
Institution:(1) University of Wisconsin, Madison, Wisc., U.S.A.;(2) University of California, Santa Barbara, Calif., U.S.A.
Abstract:A technique is presented for partitioning N students into K groups of fixed sizes using a given measure of proximity for all student pairs. The measure of proximity is typically calculated from a set of variables, such as completed curriculum units or learning style, and constitutes the data needed for a criterion of partition ldquofitrdquo. This latter index is explicitly defined by the sum of within-group proximities and when used in conjunction with the optimization procedure discussed, homogeneous groups can be obtained that satisfy externally imposed size requirements. Finally, a simple generalization is suggested for the related task of grouping students to meet upper limit size constraints only.
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