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Exact distributions of intraclass correlation and Cronbach's alpha with Gaussian data and general covariance

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  • Emily Kistner
  • Keith Muller

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  • Emily Kistner & Keith Muller, 2004. "Exact distributions of intraclass correlation and Cronbach's alpha with Gaussian data and general covariance," Psychometrika, Springer;The Psychometric Society, vol. 69(3), pages 459-474, September.
    • Handle: RePEc:spr:psycho:v:69:y:2004:i:3:p:459-474
    DOI: 10.1007/BF02295646
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    References listed on IDEAS

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    1. Walter Kristof, 1963. "The statistical theory of stepped-up reliability coefficients when a test has been divided into several equivalent parts," Psychometrika, Springer;The Psychometric Society, vol. 28(3), pages 221-238, September.
    2. Robert B. Davies, 1980. "The Distribution of a Linear Combination of χ2 Random Variables," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 29(3), pages 323-333, November.
    3. Lee Cronbach, 1951. "Coefficient alpha and the internal structure of tests," Psychometrika, Springer;The Psychometric Society, vol. 16(3), pages 297-334, September.
    4. Leonard Feldt, 1965. "The approximate sampling distribution of Kuder-Richardson reliability coefficient twenty," Psychometrika, Springer;The Psychometric Society, vol. 30(3), pages 357-370, September.
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    Cited by:

    1. Ogasawara, Haruhiko, 2023. "The density of the sample correlations under elliptical symmetry with or without the truncated variance-ratio," Journal of Multivariate Analysis, Elsevier, vol. 195(C).
    2. N. Lu & T. Chen & P. Wu & D. Gunzler & H. Zhang & H. He & X.M. Tu, 2014. "Functional response models for intraclass correlation coefficients," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(11), pages 2539-2556, November.
    3. Amir T. Payandeh Najafabadi & Maryam Omidi Najafabadi, 2016. "On the Bayesian estimation for Cronbach's alpha," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(13), pages 2416-2441, October.
    4. Kendra Davis‐Plourde & Monica Taljaard & Fan Li, 2023. "Sample size considerations for stepped wedge designs with subclusters," Biometrics, The International Biometric Society, vol. 79(1), pages 98-112, March.
    5. Siti Idayu Hasan & Farizah Mohd Hairi & Amer Siddiq Amer Nordin & Mahmoud Danaee, 2019. "Development and Validation of an Evaluation Tool to Measure the Effectiveness of a Smoking Cessation Training among Healthcare Providers in Malaysia: The Providers’ Smoking Cessation Training Evaluati," IJERPH, MDPI, vol. 16(21), pages 1-27, November.
    6. Klaas Sijtsma, 2009. "On the Use, the Misuse, and the Very Limited Usefulness of Cronbach’s Alpha," Psychometrika, Springer;The Psychometric Society, vol. 74(1), pages 107-120, March.

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