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Statistical Theory and Assessment Practice
Author(s) -
Haberman Shelby J.
Publication year - 2020
Publication title -
journal of educational measurement
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.917
H-Index - 47
eISSN - 1745-3984
pISSN - 0022-0655
DOI - 10.1111/jedm.12282
Subject(s) - statistician , statistics , goodness of fit , statistical theory , psychology , item response theory , linear discriminant analysis , statistical hypothesis testing , discriminant , econometrics , psychometrics , mathematics , computer science , artificial intelligence
Examples of the impact of statistical theory on assessment practice are provided from the perspective of a statistician trained in theoretical statistics who began to work on assessments. Goodness of fit of item‐response models is examined in terms of restricted likelihood‐ratio tests and generalized residuals. Minimum discriminant information adjustment is used for linking with no anchors or problematic anchors and for repeater analysis. Assessment issues are examined in cases in which the number of parameters is large relative to the number of observations.