IDEAS home Printed from https://ideas.repec.org/a/spr/psycho/v10y1945i2p79-91.html
   My bibliography  Save this article

The relation of item difficulty and inter-item correlation to test variance and reliability

Author

Listed:
  • Harold Gulliksen

Abstract

No abstract is available for this item.

Suggested Citation

  • Harold Gulliksen, 1945. "The relation of item difficulty and inter-item correlation to test variance and reliability," Psychometrika, Springer;The Psychometric Society, vol. 10(2), pages 79-91, June.
    • Handle: RePEc:spr:psycho:v:10:y:1945:i:2:p:79-91
    DOI: 10.1007/BF02288877
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/BF02288877
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/BF02288877?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. John Carroll, 1945. "The effect of difficulty and chance success on correlations between items or between tests," Psychometrika, Springer;The Psychometric Society, vol. 10(1), pages 1-19, March.
    2. George Ferguson, 1941. "The factorial interpretation of test difficulty," Psychometrika, Springer;The Psychometric Society, vol. 6(5), pages 323-329, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ulrich Schroeders & Oliver Wilhelm & Gabriel Olaru, 2016. "Meta-Heuristics in Short Scale Construction: Ant Colony Optimization and Genetic Algorithm," PLOS ONE, Public Library of Science, vol. 11(11), pages 1-19, November.
    2. Frederic Lord, 1953. "An application of confidence intervals and of maximum likelihood to the estimation of an examinee's ability," Psychometrika, Springer;The Psychometric Society, vol. 18(1), pages 57-76, March.
    3. Harold Webster, 1957. "Item selection methods for increasing test homogeneity," Psychometrika, Springer;The Psychometric Society, vol. 22(4), pages 395-404, December.
    4. George Ferguson, 1949. "On the theory of test discrimination," Psychometrika, Springer;The Psychometric Society, vol. 14(1), pages 61-68, March.
    5. Helmer Johnson, 1950. "Test reliability and correction for attenuation," Psychometrika, Springer;The Psychometric Society, vol. 15(2), pages 115-119, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. W. Gibson, 1960. "Nonlinear factors in two dimensions," Psychometrika, Springer;The Psychometric Society, vol. 25(4), pages 381-392, December.
    2. Paul Horst, 1954. "The maximum expected correlation between two multiple-choice tests," Psychometrika, Springer;The Psychometric Society, vol. 19(4), pages 291-296, December.
    3. John Carroll, 1961. "The nature of the data, or how to choose a correlation coefficient," Psychometrika, Springer;The Psychometric Society, vol. 26(4), pages 347-372, December.
    4. Jake Olivier & Melanie L Bell, 2013. "Effect Sizes for 2×2 Contingency Tables," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-7, March.
    5. Robert MacCann, 2004. "Reliability as a function of the number of item options derived from the “knowledge or random guessing” model," Psychometrika, Springer;The Psychometric Society, vol. 69(1), pages 147-157, March.
    6. Karl Schweizer & Siegbert Reiß, 2019. "On the Contextual Conditions Driving a Difficulty Factor," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 8(5), pages 1-12, September.
    7. Stephen Schilling & R. Bock, 2005. "High-dimensional maximum marginal likelihood item factor analysis by adaptive quadrature," Psychometrika, Springer;The Psychometric Society, vol. 70(3), pages 533-555, September.
    8. Lynnette Plumlee, 1954. "The predicted and observed effect of chance success on multiple-choice test validity," Psychometrika, Springer;The Psychometric Society, vol. 19(1), pages 65-70, March.
    9. Lynnette Plumlee, 1952. "The effect of difficulty and chance success on item-test correlation and on test reliability," Psychometrika, Springer;The Psychometric Society, vol. 17(1), pages 69-86, March.
    10. Hössjer, Ola & Sjölander, Arvid, 2022. "Sharp lower and upper bounds for the covariance of bounded random variables," Statistics & Probability Letters, Elsevier, vol. 182(C).
    11. Morgane Innocent & Julie Lassalle & Adélaïde Amelot, 2016. "Livrable L7.1_2 : Résultats de l’étude quantitative avant lancement des dispositifs dite étude n° 1 du projet SOLENN," Working Papers hal-02016473, HAL.
    12. Hubert Brogden, 1946. "Variation in test validity with variation in the distribution of item difficulties, number of items, and degree of their intercorrelation," Psychometrika, Springer;The Psychometric Society, vol. 11(4), pages 197-214, December.
    13. Bengt O. Muthã‰N, 1989. "Dichotomous Factor Analysis of Symptom Data," Sociological Methods & Research, , vol. 18(1), pages 19-65, August.
    14. John Cotton & Donald Campbell & R. Malone, 1957. "The relationship between factorial composition of test items and measures of test reliability," Psychometrika, Springer;The Psychometric Society, vol. 22(4), pages 347-357, December.
    15. Lee Cronbach, 1951. "Coefficient alpha and the internal structure of tests," Psychometrika, Springer;The Psychometric Society, vol. 16(3), pages 297-334, September.
    16. David J. Bartholomew & Ian J. Deary & Martin Lawn, 2009. "Sir Godfrey Thomson: a statistical pioneer," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 172(2), pages 467-482, April.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:psycho:v:10:y:1945:i:2:p:79-91. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.