Ability Measure

• Activity Number: 415
• Type: Contributed
• Date/Time: Tuesday, August 5, 2014 : 2:00 PM to 3:50 PM
• Sponsor: Section on Nonparametric Statistics
• Author(s): Nan L. Kong*+
• Companies: Independent Scholar
• Keywords: Additivity ; Ability measure ; Interactive ability measure ; Conditional ability measure ; subscales ; Item response with partial credits

Abstract

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.