This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 424
Type: Contributed
Date/Time: Tuesday, August 3, 2010 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #306382
Title: A Nonparametric Ability Measure
Author(s): Nan Lin Kong*+
Companies: Educational Testing Service
Address: 270 Hampshire Dr., Plainsboro, NJ, 08536, USA
Keywords: Ability measure ; Item response ; Shared ability ; Measure of subscale ; Partial Credit
Abstract:

A fundamental property of measure, which is called additivity, is discussed first and then, with subjecting to the additivity, a new measure is defined for measuring abilities. The fundamental properties of this newly-defined ability measure are explored with mathematical proofs. This paper shows that shared ability and unique ability are measurable with this newly-defined measure. Also, the ability measure with subscales and partial credits are studied.


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