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Titlebook: A Course in Rasch Measurement Theory; Measuring in the Edu David Andrich,Ida Marais Textbook 2019 The Editor(s) (if applicable) and The Aut

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https://doi.org/10.1007/978-1-349-24708-0shed to be in the same frame of reference, and have person estimates on the same scale. As a result, testequating when only some items are common between two assessments assessing the same variable is facilitated.
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https://doi.org/10.1057/9780230355484f the possible range. In CTT, a person’s observed test score is a sum of a true score and an error score. The test’s reliability is the central index of CTT and is the ratio of true score variance to observed score variance. A person’s true score, with a confidence interval, is estimated from the ob
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The Naturalization of the Humanities,an structure is cumulative and more or less difficult items reflect more or less of the construct on the continuum; (iii) the total score of a person reproduces the unique pattern of responses across all items; (iv) the Guttman structure reflects successful ordering of persons but is not measurement
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The Pragmatics of Interpretation, and the other incorrectly, depends only on the relative difficulties . and . of the items and is independent of the proficiency . of the person. Because the Rasch model implies statistical independence of responses, the probability of answering both items correctly equals the product of the probabi
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Explanation in the Sciences of Man,about the person’s proficiency . in the pattern of the person’s responses. If the response patterns fit the Rasch model, then they are likely to be close to the Guttman pattern (but not perfectly) and in the case of patterns close to the Guttman pattern, there is no further information in the profil
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