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1 results

  • A New Item Response Theory Modeling Approach with Applications to Unidimensionality Assessment and Ability Estimation

  • William F. Strout
  • Journal:
    Psychometrika / Volume 55 / Issue 2 / June 1990
    Published online by Cambridge University Press:
    01 January 2025, pp. 293-325

  • Using an infinite item test framework, it is argued that the usual assumption of local independence be replaced by a weaker assumption, essential independence. A fortiori, the usual assumption of unidimensionality is replaced by a weaker and arguably more appropriate statistically testable assumption of essential unidimennsionality. Essential unidimennsionnality implies the existence of a “unique” unidimensional latent ability. Essential unidimensionality is equivalent to the “consistent” estimation of this latnet ability in an ordinal scaling sense using any Balanced empirical scaling. A variation of this estimation approach allows consistent estimation of ability on the given latent ability scale.