Comparison of Three Procedures for Smoothing Score Distributions

Abstract

Distribution of test scores need to be smoothed in equating and/or norming. Popular parametric smoothing procedures are based on beta-binomial and loglinear models. A new approach has been developed using polynomials of the beta-binomial cumulative distribution function. The same approach was also applied to extend the beta-binomial family to more than four parameters. These methods were compared using cross-validation in two examinee samples who took the Armed Services Vocational Aptitude Battery. Results show that the loglinear and extended beta-binomial families fit the data about equally well.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1991
Accession Number
ADA242134

Entities

People

  • D. R. Divgi

Organizations

  • Center for Naval Analyses

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Binomials
  • Classification
  • Computer Programming
  • Computer Programs
  • Computers
  • Data Science
  • Distribution Functions
  • Information Science
  • Maximum Likelihood Estimation
  • Military Personnel
  • Polynomials
  • Probability
  • Standards
  • Statistics
  • Validation
  • Virginia
  • Word Processors

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Psychometric Testing or Psychological Assessment.
  • Regression Analysis.