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  2. Kuder–Richardson formulas - Wikipedia

    en.wikipedia.org/wiki/Kuder–Richardson_formulas

    Difficulty level of the items (p), is assumed to be the same for each item, however, in practice, KR-21 can be applied by finding the average item difficulty across the entirety of the test. KR-21 tends to be a more conservative estimate of reliability than KR-20, which in turn is a more conservative estimate than Cronbach's α .

  3. Raven's Progressive Matrices - Wikipedia

    en.wikipedia.org/wiki/Raven's_Progressive_Matrices

    This format is designed to measure the test taker's reasoning ability, the eductive ("meaning-making") component of Spearman's g (g is often referred to as general intelligence). The tests were originally developed by John C. Raven in 1936. [3] In each test item, the subject is asked to identify the missing element that completes a pattern.

  4. Polytomous Rasch model - Wikipedia

    en.wikipedia.org/wiki/Polytomous_Rasch_model

    where is the difficulty of item i and is the kth threshold location of the rating scale which is in common to all the items. m is the maximum score and is identical for all the items. τ 0 {\displaystyle \tau _{0}} is chosen for computational convenience.

  5. Psychometric software - Wikipedia

    en.wikipedia.org/wiki/Psychometric_software

    TAP (Test Analysis Program) is a free Windows program written in Delphi Pascal that performs test and item analyses based on classical test theory. TAP provides reports on examinee total scores, item statistics (e.g., item difficulty, item discrimination, point-biserial), options analyses, and other useful information.

  6. Rasch model - Wikipedia

    en.wikipedia.org/wiki/Rasch_model

    The Rasch model, named after Georg Rasch, is a psychometric model for analyzing categorical data, such as answers to questions on a reading assessment or questionnaire responses, as a function of the trade-off between the respondent's abilities, attitudes, or personality traits, and the item difficulty.

  7. Item-total correlation - Wikipedia

    en.wikipedia.org/wiki/Item-total_correlation

    The item-reliability index (IRI) is defined as the product of the point-biserial item-total correlation and the item standard deviation. In classical test theory, the IRI indexes the degree to which an item contributes true score variance to the exam observed score variance. In practice, a negative IRI indicates the relative degree which an ...

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  9. Item response theory - Wikipedia

    en.wikipedia.org/wiki/Item_response_theory

    The name item response theory is due to the focus of the theory on the item, as opposed to the test-level focus of classical test theory. Thus IRT models the response of each examinee of a given ability to each item in the test. The term item is generic, covering all kinds of informative items.

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