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Statistical Software SAMMIF for Sensitivity Analysis in Multivariate Methods

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Measurement and Multivariate Analysis

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Summary

SAMMIF (Sensitivity Analysis in Multivariate Methods based on Influence Functions) is a statistical package for sensitivity analysis in multivariate methods in which diagnostics statistics are obtained for detecting influential observations and influential directions on the basis of both influence function approach and Cook’s local influence approach. SAMMIF is designed to provide useful graphical user interface and some options for both beginners and specialists. The current version 1.0 performs sensitivity analysis fully in principal component analysis, canonical correlation analysis and exploratory and confirmatory factor analyses with some new diagnostics functions for the analyses. Practical examples illustrate that users can analyze the influence of observations without difficulties.

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References

  • Cook, R. D. (1986). Assessment of local influence. J. R. Statist. Soc., B48, 133–169.

    MATH  Google Scholar 

  • Critchley, F. (1985). Influence in principal component analysis. Biometrika, 72, 627–636.

    Article  MathSciNet  MATH  Google Scholar 

  • Hampel. F. R. (1974). The influence curve and its role in robust estimation. Journal of the American Statistical Association, 69, 383–393.

    Article  MathSciNet  MATH  Google Scholar 

  • Härdle, W., Klinke, S. and Müller, M. (1999). Data sets in XploRe Laerning Guide. Springer. The original data set is in Multivariate Statistics, A Practical Approach (Flury, B. and Riedwyl, H. (1988), Cambridge University Press).

    Google Scholar 

  • Johnson, W. R (1995). Body fat data. In StatLib-Datasets Archive,http://lib.stat.cmu.edu/datasets/bodyfat.

  • Mon, Y and Tanuni, T. (1993). Statistical software SAM II: Sensitivity analysis in multivariate methods. Journal ofJapanese Society of Computational Statistics, 6 (2), 21–32.

    Google Scholar 

  • Mon, Y, Watadani, S., Tanuni, T. and Tanaka, Y. (1998). Development of Statistical Software SAMMIF for Sensitivity Analysis in Multivariate Methods. In: COMPSTAT98 Proceedings in Computational Statistics (ed. R.Payne and P.Green), 395–400.

    Google Scholar 

  • Odaka, Y, Watadani, S. and Tanaka, Y. (1991). Statistical software SAFB (sensitivity analysis in factor analysis). Abstract of the Fah Conference of Japanese Society of Computational Statistics, 63–66.

    Google Scholar 

  • Radhakrishnan, R. and Kshirsagar, A. M. (1981). Influence function for certain parameters in multivariate analysis. Communication in Statistics, A10, 515–529.

    Article  MathSciNet  Google Scholar 

  • Tanaka, Y. (1988). Sensitivity analysis in principal component analysis: Influence on the subspace spanned by principal components. Communication in Statistics, A17, 3157–3175. (Corrections, A18 (1989), 4305 ).

    Google Scholar 

  • Tanaka, Y. (1994). Recent advance in sensitivity analysis in multivariate methods. Journal ofJapanese Society of Computational Statistics, 7, 1–25.

    MATH  Google Scholar 

  • Tanaka, Y., Castano-Tostado, E. and Odaka, Y. (1990). Sensitivity analysis in factor analysis: Methods and software. In: COMPSTAT90 Proceedings in Computational Statistics (ed. Tanaka, Y., Castano-Tostado, E. and Odaka, Y ), 205–210. Physica-Verlag.

    Google Scholar 

  • Tanaka, Y. and Watadani, S. (1992). Sensitivity analysis in covariance structure analysis with equality constraints. Communication in Statistics, A21, 1501–1515.

    Article  MATH  Google Scholar 

  • Tanaka, Y. and Watadani, S. (1994). Unmasking influential observations in multivariate methods. In: COMPSTAT Proceedings in Computational Statistics (ed. nutter, R. and Grossman, W. ), 292–297. Heidelberg: Physica-Verlag.

    Google Scholar 

  • Tanaka, Y and Zhang, F. (1999). R-mode and Q-mode influence analysis in statistical modelling: relationship between influence function approach and local influence approach. Computational Statistics and Data Analysis, 32, 197–218.

    Article  MathSciNet  Google Scholar 

  • Tarumi, T. and Tanaka, Y. (1986). Statistical software SAM: Sensitivity analysis in multivariate methods. In: COMPSTAT86 Proceedings in Computational Statistics (ed. Tarumi, T. and Tanaka, Y ), 351–356. Physica-Verlag.

    Google Scholar 

  • Wang, S.-J. and Lee, S.-Y. (1996). Sensitivity analysis of structural equation models with equality functional constraints. Computational Statistics and Data Analysis, 23, 239–256.

    Article  MATH  Google Scholar 

  • Watadani, S. and Tanaka, Y. (1994). Statistical software SACS: Sensitivity analysis in covariance structure analysis. Journal of Japanese Society of Computational Statistics, 7, 105–118.

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Dept. of Socio-Information, Okayama University of Science, 1-1 Ridai-cho, Okayama, 700-0005, Japan

    Yuichi Mori

  2. Dept. of Liberal Arts and Science, Kurashiki University of Science and the Arts, 2640 Nishinoura Tsurajima-cho, Kurashiki, 712-8505, Japan

    Shingo Watadani

  3. Dept. of Management and Information sciences, Tama University, 4-1-1 Hijirigaoka, Tama-shi, Tokyo, 206-0022, Japan

    Yoshiro Yamamoto

  4. Dept. of Environmental and Mathematical Science, Okayama University, 3-1-1 Tsushima-Naka, Okayama, 700-8530, Japan

    Tomoyuki Tarumi & Yutaka Tanaka

Authors
  1. Yuichi Mori
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  2. Shingo Watadani
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  3. Yoshiro Yamamoto
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  4. Tomoyuki Tarumi
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  5. Yutaka Tanaka
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Editor information

Editors and Affiliations

  1. Measurement and Evaluation Program CTL, OISE/UT, The University of Toronto, 252 Bloor Street West, M5S 1V6, Toronto, Ontario, Canada

    Shizuhiko Nishisato (Professor Emeritus) (Professor Emeritus)

  2. Center for Information on Statistical Sciences, The Institute of Statistical Mathematics, 4-6-7 Minami Azabu, 106-8569, Minato-ku, Tokyo, Japan

    Yasumasa Baba (Professor) & Koji Kanefuji (Associate Professor) (Professor) &  (Associate Professor)

  3. Information Complexity & Model Selection Department of Statistics, 336 SMC, The University of Tennessee, 37996-0532, Knoxville, TN, USA

    Hamparsum Bozdogan (McKenzie Professor in Business) (McKenzie Professor in Business)

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© 2002 Springer Japan

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Mori, Y., Watadani, S., Yamamoto, Y., Tarumi, T., Tanaka, Y. (2002). Statistical Software SAMMIF for Sensitivity Analysis in Multivariate Methods. In: Nishisato, S., Baba, Y., Bozdogan, H., Kanefuji, K. (eds) Measurement and Multivariate Analysis. Springer, Tokyo. https://doi.org/10.1007/978-4-431-65955-6_30

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  • DOI: https://doi.org/10.1007/978-4-431-65955-6_30

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-65957-0

  • Online ISBN: 978-4-431-65955-6

  • eBook Packages: Springer Book Archive

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