Psychometrika

, Volume 55, Issue 4, pp 617–632 | Cite as

Rasch-representable reaction time distributions

  • Dirk Vorberg
  • Wolfgang Schwarz
Article

Abstract

This article investigates properties of a representation based on the Rasch test model for reaction times (RT) that was proposed by Micko. Necessary and sufficient conditions for a set of RT distributions to be Rasch-representable are derived. It is shown that independent serial and independent parallel processing models cannot be reconciled with the representation. However, random extreme models compatible with the Reasch-representation exist that assume RT is determined by the longest or he shortest processing time of a random number of independent paraloel channels. Nonparametric properties of Rasch-representable distributions are derived that can be used for testing the model and for estimating its parameters. Conditions are presented for Rasch-representable distributions to form a scale family. Finally, Rasch-represent-able distributions are characterized interms of their hazard functions.

Key words

Rasch test model serial model parallel model reaction time distributions 

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Copyright information

© The Psychometric Society 1990

Authors and Affiliations

  • Dirk Vorberg
    • 1
  • Wolfgang Schwarz
    • 1
  1. 1.Fachbereich Psychnologie Philipps-Universität MarburgGermany

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