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Nan L. Kong

Independent Scholar



415 – Contributed Oral Poster Presentations: Section on Nonparametric Statistics

Ability Measure

Sponsor: Section on Nonparametric Statistics
Keywords: Additivity, Ability measure, Interactive ability measure, Conditional ability measure, subscales, Item response with partial credits

Nan L. Kong

Independent Scholar

This paper defines a measure of examinees' abilities using additivity, the fundamental property of a measure. By employing mathematical proofs, the fundamental properties of this newly-defined measure are demonstrated. This paper also shows that interactive ability and conditional ability are measurable with additivity. Finally, the paper looks at subscales and their decompositions.

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