Accession Number:

ADA207301

Title:

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

Descriptive Note:

Technical rept.

Corporate Author:

ILLINOIS UNIV AT URBANA PSYCHOMETRIC GROUP

Personal Author(s):

Report Date:

1989-03-01

Pagination or Media Count:

58.0

Abstract:

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 unidimensionality. Essential unidimensionality implies the existence of a unique unidimensional latent ability. Essential unidimensionality is equivalent to the consistent estimation of this latent ability in an ordinal scaling sense using any balanced linear formula scoring scheme. A variation of this estimation approach allows consistent estimation of ability on the given latent ability scale.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE