IDEAS home Printed from https://ideas.repec.org/a/sae/somere/v18y1989i1p19-65.html
   My bibliography  Save this article

Dichotomous Factor Analysis of Symptom Data

Author

Listed:
  • BENGT O. MUTHÉN

    (University of California, Los Angeles)

Abstract

This article discusses how a factor model with continuous latent variables can be used to analyze a set of strongly skewed dichotomous items and how such a model can be used for classification of subjects. The suitability of the specification of normally distributed latent variables, as is assumed with the use of tetrachoric correlations, is investigated. Both exploratory and confirmatory analyses, including multiple groups with mean structures, are illustrated. Substantive findings include support for unidimensionality of the items used in the DSM-III diagnosis of depression and a large degree of invariance in factor structure for the Baltimore and Durham sites.

Suggested Citation

  • Bengt O. Muthã‰N, 1989. "Dichotomous Factor Analysis of Symptom Data," Sociological Methods & Research, , vol. 18(1), pages 19-65, August.
  • Handle: RePEc:sae:somere:v:18:y:1989:i:1:p:19-65
    DOI: 10.1177/0049124189018001002
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/0049124189018001002
    Download Restriction: no

    File URL: https://libkey.io/10.1177/0049124189018001002?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
    ---><---

    References listed on IDEAS

    as
    1. Bengt Muthén & Charles Hofacker, 1988. "Testing the assumptions underlying tetrachoric correlations," Psychometrika, Springer;The Psychometric Society, vol. 53(4), pages 563-577, December.
    2. 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.
    3. Morton Brown & Jacqueline Benedetti, 1977. "On the mean and variance of the tetrachoric correlation coefficient," Psychometrika, Springer;The Psychometric Society, vol. 42(3), pages 347-355, September.
    4. 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)

    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. Matthew S. Johnson & Sandip Sinharay, 2020. "The Reliability of the Posterior Probability of Skill Attainment in Diagnostic Classification Models," Journal of Educational and Behavioral Statistics, , vol. 45(1), pages 5-31, February.
    2. 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.
    3. Albert Maydeu-Olivares, 2006. "Limited information estimation and testing of discretized multivariate normal structural models," Psychometrika, Springer;The Psychometric Society, vol. 71(1), pages 57-77, March.
    4. 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.
    5. 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.
    6. 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.
    7. W. Gibson, 1960. "Nonlinear factors in two dimensions," Psychometrika, Springer;The Psychometric Society, vol. 25(4), pages 381-392, December.
    8. Paul Horst, 1954. "The maximum expected correlation between two multiple-choice tests," Psychometrika, Springer;The Psychometric Society, vol. 19(4), pages 291-296, December.
    9. Keith Hope, 1980. "A geometrical approach to sociological analysis," Quality & Quantity: International Journal of Methodology, Springer, vol. 14(2), pages 309-325, 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. Florian Schuberth & Jörg Henseler & Theo K. Dijkstra, 2018. "Partial least squares path modeling using ordinal categorical indicators," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(1), pages 9-35, January.
    13. Steffen Grønneberg & Jonas Moss & Njål Foldnes, 2020. "Partial Identification of Latent Correlations with Binary Data," Psychometrika, Springer;The Psychometric Society, vol. 85(4), pages 1028-1051, December.
    14. Daniela-Emanuela Danacica, 2017. "Methodological and Applicative Problems of using Pearson Correlation Coefficient in the Analysis of Socio-Economic Variables," Romanian Statistical Review Supplement, Romanian Statistical Review, vol. 65(2), pages 148-163, February.
    15. 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.
    16. Dylan Molenaar & Conor Dolan & Paul Boeck, 2012. "The Heteroscedastic Graded Response Model with a Skewed Latent Trait: Testing Statistical and Substantive Hypotheses Related to Skewed Item Category Functions," Psychometrika, Springer;The Psychometric Society, vol. 77(3), pages 455-478, July.
    17. Ivan Mervielde, 1977. "Methodological problems of research about attitude-behavior consistency," Quality & Quantity: International Journal of Methodology, Springer, vol. 11(3), pages 259-281, September.
    18. Bailey K. Fosdick & Adrian E. Raftery, 2012. "Estimating the Correlation in Bivariate Normal Data With Known Variances and Small Sample Sizes," The American Statistician, Taylor & Francis Journals, vol. 66(1), pages 34-41, February.
    19. Jansen, Nora & Hinz, Oliver & Deusser, Clemens & Strufe, Thorsten, 2021. "Is the Buzz on? – A Buzz Detection System for Viral Posts in Social Media," Journal of Interactive Marketing, Elsevier, vol. 56(C), pages 1-17.
    20. Farrell, Susan & Manning, Willard G. & Finch, Michael D., 2003. "Alcohol dependence and the price of alcoholic beverages," Journal of Health Economics, Elsevier, vol. 22(1), pages 117-147, January.

    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:sae:somere:v:18:y:1989:i:1:p:19-65. 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: SAGE Publications (email available below). General contact details of provider: .

    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.