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A unified approach to exploratory factor analysis with missing data, nonnormal data, and in the presence of outliers

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  • Ke-Hai Yuan
  • Linda Marshall
  • Peter Bentler

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  • Ke-Hai Yuan & Linda Marshall & Peter Bentler, 2002. "A unified approach to exploratory factor analysis with missing data, nonnormal data, and in the presence of outliers," Psychometrika, Springer;The Psychometric Society, vol. 67(1), pages 95-121, March.
  • Handle: RePEc:spr:psycho:v:67:y:2002:i:1:p:95-121
    DOI: 10.1007/BF02294711
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    References listed on IDEAS

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    1. Wim Krijnen & Theo Dijkstra & Richard Gill, 1998. "Conditions for factor (in)determinacy in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 63(4), pages 359-367, December.
    2. Kentaro Hayashi & Yiu-Fai Yung, 1999. "Standard errors for the class of orthomax-rotated factor loadings: Some matrix results," Psychometrika, Springer;The Psychometric Society, vol. 64(4), pages 451-460, December.
    3. Robert Jennrich, 1978. "Rotational equivalence of factor loading matrices with specified values," Psychometrika, Springer;The Psychometric Society, vol. 43(3), pages 421-426, September.
    4. Bengt Muthén & David Kaplan & Michael Hollis, 1987. "On structural equation modeling with data that are not missing completely at random," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 431-462, September.
    5. Yutaka Tanaka & Yoshimasa Odaka, 1989. "Influential observations in principal factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 54(3), pages 475-485, September.
    6. Verboon, Peter & Heiser, Willem J., 1994. "Resistant lower rank approximation of matrices by iterative majorization," Computational Statistics & Data Analysis, Elsevier, vol. 18(4), pages 457-467, November.
    7. Henry Kaiser, 1958. "The varimax criterion for analytic rotation in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 23(3), pages 187-200, September.
    8. C. Hendricks Brown, 1983. "Asymptotic comparison of missing data procedures for estimating factor loadings," Psychometrika, Springer;The Psychometric Society, vol. 48(2), pages 269-291, June.
    9. Carl Finkbeiner, 1979. "Estimation for the multiple factor model when data are missing," Psychometrika, Springer;The Psychometric Society, vol. 44(4), pages 409-420, December.
    10. N. A. Campbell, 1980. "Robust Procedures in Multivariate Analysis I: Robust Covariance Estimation," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 29(3), pages 231-237, November.
    11. Masanori Ichikawa & Sadanori Konishi, 1995. "Application of the bootstrap methods in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 60(1), pages 77-93, March.
    12. Robert Jennrich, 1973. "Standard errors for obliquely rotated factor loadings," Psychometrika, Springer;The Psychometric Society, vol. 38(4), pages 593-604, December.
    13. repec:ucp:bkecon:9780226316529 is not listed on IDEAS
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    Citations

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    Cited by:

    1. Guangjian Zhang & Kristopher Preacher & Robert Jennrich, 2012. "The Infinitesimal Jackknife with Exploratory Factor Analysis," Psychometrika, Springer;The Psychometric Society, vol. 77(4), pages 634-648, October.
    2. Yinqiu He & Zi Wang & Gongjun Xu, 2021. "A Note on the Likelihood Ratio Test in High-Dimensional Exploratory Factor Analysis," Psychometrika, Springer;The Psychometric Society, vol. 86(2), pages 442-463, June.
    3. W. Holmes Finch, 2024. "Comparison of Methods for Addressing Outliers in Exploratory Factor Analysis and Impact on Accuracy of Determining the Number of Factors," Stats, MDPI, vol. 7(3), pages 1-21, August.
    4. Ke-Hai Yuan & Zhiyong Zhang & Lijuan Wang, 2024. "Signal-to-Noise Ratio in Estimating and Testing the Mediation Effect: Structural Equation Modeling versus Path Analysis with Weighted Composites," Psychometrika, Springer;The Psychometric Society, vol. 89(3), pages 974-1006, September.
    5. Gonçalo Rodrigues Brás & Miguel Torres Preto, 2021. "The consequences of intrapreneurship in exporting firms: a structural-model approach," CeBER Working Papers 2021-06, Centre for Business and Economics Research (CeBER), University of Coimbra.
    6. Yuan, Ke-Hai & Chan, Wai, 2008. "Structural equation modeling with near singular covariance matrices," Computational Statistics & Data Analysis, Elsevier, vol. 52(10), pages 4842-4858, June.
    7. Guangjian Zhang & Minami Hattori & Lauren A. Trichtinger, 2023. "Rotating Factors to Simplify Their Structural Paths," Psychometrika, Springer;The Psychometric Society, vol. 88(3), pages 865-887, September.
    8. Subash Chandra Pattnaik & Rashmita Sahoo, 2021. "High-performance Work Practices, Affective Commitment of Employees and Organizational Performance: A Multi-level Modelling Using 2-1-2 Mediation Analysis," Global Business Review, International Management Institute, vol. 22(6), pages 1594-1609, December.
    9. Ke-Hai Yuan & Kentaro Hayashi, 2005. "On muthén’s maximum likelihood for two-level covariance structure models," Psychometrika, Springer;The Psychometric Society, vol. 70(1), pages 147-167, March.
    10. Serena Ng & Susannah Scanlan, 2023. "Constructing High Frequency Economic Indicators by Imputation," Papers 2303.01863, arXiv.org, revised Oct 2023.
    11. Ke-Hai Yuan & Zhiyong Zhang, 2012. "Robust Structural Equation Modeling with Missing Data and Auxiliary Variables," Psychometrika, Springer;The Psychometric Society, vol. 77(4), pages 803-826, October.

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