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  2. Classical test theory - Wikipedia

    en.wikipedia.org/wiki/Classical_test_theory

    Classical test theory assumes that each person has a true score,T, that would be obtained if there were no errors in measurement. A person's true score is defined as the expected number-correct score over an infinite number of independent administrations of the test.

  3. Item response theory - Wikipedia

    en.wikipedia.org/wiki/Item_response_theory

    In psychometrics, item response theory (IRT) (also known as latent trait theory, strong true score theory, or modern mental test theory) is a paradigm for the design, analysis, and scoring of tests, questionnaires, and similar instruments measuring abilities, attitudes, or other variables.

  4. Reliability (statistics) - Wikipedia

    en.wikipedia.org/wiki/Reliability_(statistics)

    The goal of estimating reliability is to determine how much of the variability in test scores is due to measurement errors and how much is due to variability in true scores . [7] A true score is the replicable feature of the concept being measured. It is the part of the observed score that would recur across different measurement occasions in ...

  5. Psychological statistics - Wikipedia

    en.wikipedia.org/wiki/Psychological_statistics

    For each participant, it assumes that there exist a true score and it need to be obtained score (X) has to be as close to it as possible. [2] [4] The closeness of X has with T is expressed in terms of ratability of the obtained score. The reliability in terms of classical test procedure is correlation between true score and obtained score.

  6. Measuring the Mind - Wikipedia

    en.wikipedia.org/wiki/Measuring_the_Mind

    It covers the history and fundamental axioms of classical test theory and goes on to discuss the philosophical implications of true scores. Borsboom describes the strengths and limitations of true scores in this way: Classical test theory was either one of the best ideas in twentieth-century psychology, or one of the worst mistakes.

  7. Scoring rule - Wikipedia

    en.wikipedia.org/wiki/Scoring_rule

    The classification accuracy score (percent classified correctly), a single-threshold scoring rule which is zero or one depending on whether the predicted probability is on the appropriate side of 0.5, is a proper scoring rule but not a strictly proper scoring rule because it is optimized (in expectation) not only by predicting the true ...

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  9. Item-total correlation - Wikipedia

    en.wikipedia.org/wiki/Item-total_correlation

    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 item damages the reliability estimate and a positive value indicates the relative degree which it contributes towards a high reliability ...