Analytic smoothing for equipercentile equating under the common item nonequivalent populations design |
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Authors: | Michael J Kolen David Jarjoura |
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Institution: | (1) Measurement Research Department, The American College Testing Program, PO Box 168, 52243 Iowa City, IA;(2) Northeastern Ohio Universities College of Medicine, USA |
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Abstract: | A cubic spline method for smoothing equipercentile equating relationships under the common item nonequivalent populations design is described. Statistical techniques based on bootstrap estimation are presented that are designed to aid in choosing an equating method/degree of smoothing. These include: (a) asymptotic significance tests that compare no equating and linear equating to equipercentile equating; (b) a scheme for estimating total equating error and for dividing total estimated error into systematic and random components. The smoothing technique and statistical procedures are explored and illustrated using data from forms of a professional certification test. |
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Keywords: | equating equipercentile equating equating error bootstrap |
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