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  2. Classical test theory - Wikipedia

    en.wikipedia.org/wiki/Classical_test_theory

    The item-total correlation provides an index of the discrimination or differentiating power of the item, and is typically referred to as item discrimination. In addition, these statistics are calculated for each response of the oft-used multiple choice item, which are used to evaluate items and diagnose possible issues, such as a confusing ...

  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. 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 .

  5. 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 ...

  6. Differential item functioning - Wikipedia

    en.wikipedia.org/wiki/Differential_item_functioning

    Difficulty values, in theory, can range from -∞ to +∞; however in practice they rarely exceed ±3. Higher values are indicative of harder test items. Items exhibiting low b parameters are easy test items. [22] Another parameter that is estimated is a discrimination parameter designated a. This parameter pertains to an item's ability to ...

  7. 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.

  8. NBC News is measuring how hard it is to buy a home right now

    www.aol.com/news/nbc-news-measuring-hard-buy...

    Last updated Dec. 19. Learn more about homebuying difficulty in most U.S. counties based on factors such as affordability, available homes, homebuying competition and economic stability.

  9. Item analysis - Wikipedia

    en.wikipedia.org/wiki/Item_analysis

    Weakly correlate with the totality of the remaining items, reflected in an increase in Cronbach's alpha if the item is eliminated from the test; In practical test construction, item analysis is an iterative process, and cannot be entirely automated. The psychometrician's judgement is required to determine whether the emerging set of items to be ...