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Local influence in principal component analysis: relationship between the local influence and influence function approaches revisited

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  • Tanaka, Yutaka
  • Zhang, Fanghong
  • Mori, Yuichi

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  • Tanaka, Yutaka & Zhang, Fanghong & Mori, Yuichi, 2003. "Local influence in principal component analysis: relationship between the local influence and influence function approaches revisited," Computational Statistics & Data Analysis, Elsevier, vol. 44(1-2), pages 143-160, October.
    • Handle: RePEc:eee:csdana:v:44:y:2003:i:1-2:p:143-160
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    References listed on IDEAS

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    1. Sik-Yum Lee & S. Wang, 1996. "Sensitivity analysis of structural equation models," Psychometrika, Springer;The Psychometric Society, vol. 61(1), pages 93-108, March.
    2. Shu-Jia Wang & Sik-Yum Lee, 1996. "Sensitivity analysis of structural equation models with equality functional constraints," Computational Statistics & Data Analysis, Elsevier, vol. 23(2), pages 239-256, December.
    3. Hong‐Tu Zhu & Sik‐Yum Lee, 2001. "Local influence for incomplete data models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(1), pages 111-126.
    4. P. Pack & I. T. Jolliffe, 1992. "Influence in Correspondence Analysis," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 41(2), pages 365-380, June.
    5. C. Kwan & W. Fung, 1998. "Assessing local influence for specific restricted likelihood: Application to factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 63(1), pages 35-46, March.
    6. Jung, Kang-Mo & Kim, Myung Geun & Kim, Byung Chun, 1997. "Local influence in maximum likelihood factor analysis," Computational Statistics & Data Analysis, Elsevier, vol. 24(4), pages 483-491, June.
    7. Norm A. Campbell, 1978. "The Influence Function as an Aid in Outlier Detection in Discriminant Analysis," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 27(3), pages 251-258, November.
    8. Yutaka Tanaka & Yoshimasa Odaka, 1989. "Influential observations in principal factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 54(3), pages 475-485, September.
    9. Tanaka, Yutaka & Zhang, Fanghong, 1999. "R-mode and Q-mode influence analyses in statistical modelling: relationship between influence function approach and local influence approach," Computational Statistics & Data Analysis, Elsevier, vol. 32(2), pages 197-218, December.
    10. Mario Romanazzi, 1992. "Influence in canonical correlation analysis," Psychometrika, Springer;The Psychometric Society, vol. 57(2), pages 237-259, June.
    11. Wai-Yin Poon & Shu-Jia Wang & Sik-Yum Lee, 1999. "Influence analysis of structural equation models with polytomous variables," Psychometrika, Springer;The Psychometric Society, vol. 64(4), pages 461-473, December.
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    Cited by:

    1. Leiva, Victor & Barros, Michelli & Paula, Gilberto A. & Galea, Manuel, 2007. "Influence diagnostics in log-Birnbaum-Saunders regression models with censored data," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 5694-5707, August.
    2. Lucia Santana & Filidor Vilca & V�ctor Leiva, 2011. "Influence analysis in skew-Birnbaum--Saunders regression models and applications," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(8), pages 1633-1649, July.
    3. Ortega, Edwin M.M. & Cordeiro, Gauss M. & Lemonte, Artur J., 2012. "A log-linear regression model for the β-Birnbaum–Saunders distribution with censored data," Computational Statistics & Data Analysis, Elsevier, vol. 56(3), pages 698-718.

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