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1 results

  • Analytic Smoothing for Equipercentile Equating Under the Common Item Nonequivalent Populations Design

  • Michael J. Kolen, David Jarjoura
  • Journal:
    Psychometrika / Volume 52 / Issue 1 / March 1987
    Published online by Cambridge University Press:
    01 January 2025, pp. 43-59

  • 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.