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Educational and Psychological Measurement
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Extreme Groups Designs and the Calculation of Statistical Power

Gary D. Borich

The University of Texas at Austin

Robert C. Godbout

The University of Texas at Austin

Three different statistical procedures for identifying aptitude-treatment interactions (ATI's) are discussed with regard to statistical power. The three procedures are (1) treatment x blocks analysis of variance, (2) homogeneity of group regressions and (3) extreme groups analysis. The treatment x blocks analysis of variance offers the least power while the extreme groups analysis offers the greatest power. A general discussion of statistical power is presented along with a FORTRAN function for the calculation of power. A FORTRAN program is also provided for the calculation of extreme groups analyses. As a special feature, this program allows the researcher to determine what form of extreme groups analysis will provide maximum power.

Educational and Psychological Measurement, Vol. 34, No. 3, 663-675 (1974)
DOI: 10.1177/001316447403400318
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