ERIC Number: EJ882301
Record Type: Journal
Publication Date: 2010
Pages: 12
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0146-6216
EISSN: N/A
Quantifying Response Dependence between Two Dichotomous Items Using the Rasch Model
Andrich, David; Kreiner, Svend
Applied Psychological Measurement, v34 n3 p181-192 2010
Models of modern test theory imply statistical independence among responses, generally referred to as "local independence." One violation of local independence occurs when the response to one item governs the response to a subsequent item. Expanding on a formulation of this kind of violation as a process in the dichotomous Rasch model, this article shows how the magnitude of this violation can be estimated as a change in the location of the second item caused by its dependence on the first. It is suggested that this index is relatively more tangible in interpretation than other indices of dependence that are either a weight in the interaction term in a model or a correlation coefficient. The prime function of this method of assessing dependence is likely to be in the development of tests where evidence of the degree of dependence of one item on another in a pilot study can be used as part of the evidence in deciding which items will be retained in a final version of a test. (Contains 2 tables.)
Descriptors: Test Theory, Item Response Theory, Test Items, Correlation, Error of Measurement, Computation, Elementary School Students, Mathematics Tests, Foreign Countries
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Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Australia
Grant or Contract Numbers: N/A