Estimating Achievement Gaps from Test Scores Reported in Ordinal "Proficiency" Categories

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Estimating Achievement Gaps from Test Scores Reported in Ordinal "Proficiency" Categories

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Title: Estimating Achievement Gaps from Test Scores Reported in Ordinal "Proficiency" Categories
Author: Ho, Andrew Dean; Reardon, Sean F.

Note: Order does not necessarily reflect citation order of authors.

Citation: Ho, Andrew D., and Sean F. Reardon. 2012 . Estimating achievement gaps from test scores reported in ordinal "proficiency" categories. Journal of Educational and Behavioral Statistics
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Abstract: Test scores are commonly reported in a small number of ordered categories. Examples of such reporting include state accountability testing, Advanced Placement tests, and English proficiency tests. This paper introduces and evaluates methods for estimating achievement gaps on a familiar standard-deviation-unit metric using data from these ordered categories alone. These methods hold two practical advantages over alternative achievement gap metrics. First, they require only categorical proficiency data, which are often available where means and standard deviations are not. Second, they result in gap estimates that are invariant to score scale transformations, providing a stronger basis for achievement gap comparisons over time and across jurisdictions. We find three candidate estimation methods that recover full-distribution gap estimates well when only censored data are available.
Published Version: doi:10.3102/1076998611411918
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:9276707
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