Psychometrics Behind Computerized Adaptive Testing

Research output: Contribution to journalArticlepeer-review


The paper provides a survey of 18 years’ progress that my colleagues, students (both former and current) and I made in a prominent research area in Psychometrics—Computerized Adaptive Testing (CAT). We start with a historical review of the establishment of a large sample foundation for CAT. It is worth noting that the asymptotic results were derived under the framework of Martingale Theory, a very theoretical perspective of Probability Theory, which may seem unrelated to educational and psychological testing. In addition, we address a number of issues that emerged from large scale implementation and show that how theoretical works can be helpful to solve the problems. Finally, we propose that CAT technology can be very useful to support individualized instruction on a mass scale. We show that even paper and pencil based tests can be made adaptive to support classroom teaching.

Original languageEnglish (US)
Pages (from-to)1-20
Number of pages20
Issue number1
StatePublished - Mar 1 2015


  • CD-CAT
  • a-stratified item selection
  • computerized adaptive testing
  • constraint management
  • martingale theory
  • multidimensional CAT
  • response time
  • sequential design

ASJC Scopus subject areas

  • General Psychology
  • Applied Mathematics


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