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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4065))

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Abstract

In the paper we propose nonparametric approaches for e-learning data. In particular we want to supply a measure of the relative exercises importance, to estimate the acquired Knowledge for each student and finally to personalize the e-learning platform. The methodology employed is based on a comparison between nonparametric statistics for kernel density classification and parametric models such as generalized linear models and generalized additive models.

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References

  1. Azzalini, A., Bowman, A.W.: Applied Smoothing Techniques for Data Analysis. Oxford Statistical Science Series. Oxford (1997)

    Google Scholar 

  2. Fan, J., Gijbels, I.: Local Polynomial Modelling and Ist Applications. Chapman Hall, London (1996)

    Google Scholar 

  3. Giudici, P.: Applied data mining. Wiley, Chichester (2003)

    MATH  Google Scholar 

  4. Green, P.J., Silverman, B.W.: Nonparametric Regression and Generalized Linear Models: A Roughness Penality Approach. Chapman Hall, London (1994)

    Google Scholar 

  5. Hastie, T.J., Tibshirani, R.J.: Generalized Additive Models. Chapman Hall, London (1990)

    MATH  Google Scholar 

  6. Scott, D.W.: Multivariate Density Estimation: Theory, Practice and Visualisation. Wiley, New York (1992)

    Book  Google Scholar 

  7. Simonoff, J.S.: Smoothing Methods in Statistics. Springer, New York (1996)

    MATH  Google Scholar 

  8. Wand, M.P., Jones, M.C.: Kernel Smoothing. Chapman Hall, London (1995)

    MATH  Google Scholar 

  9. Bjerve, S., Doksum, K.: Correlation curves measures of association as functions of covariate values. Ann. Statist. 21, 890–902 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  10. Bowman, A.W.: An alternative method of cross validation for the smoothing of density estimates. Biometrika 711, 353–360 (1984)

    Article  MathSciNet  Google Scholar 

  11. Bowman, A.W., Foster, P.J.: Adaptive smoothing and density based tests of multivariate normality. J. Amer. Statist. Assoc. 88, 529–573 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  12. Doksum, K., Blyth, S., Bradlow, E., Meng, X.L., Zhao, H.: Correlation curves as local measures of variance explained by regression. J. Amer. Statist. Assoc. 89, 571–582 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  13. Jones, M.C., Marron, J.S., Sheather, S.J.: A brief survey of bandwidth selection for density estimation. J. Amer. Statist. Assoc. 91, 401–407 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  14. Parzen, E.: On the estimation of a probability density and mode. Ann. Math. Statist. 33, 1065–1076 (1962)

    Article  MATH  MathSciNet  Google Scholar 

  15. Rosenblatt, M.: Remarks on some noparametric estimates of a density function. Ann. Meth. Statist. 27, 832–837 (1956)

    Article  MATH  MathSciNet  Google Scholar 

  16. Rudemo, M.: Empirical choice of histograms and kernel density estimators. Scand. J. Statist. 9, 65–78 (1982)

    MATH  MathSciNet  Google Scholar 

  17. Scott, D.W., Terrell, G.: Biased and unbiased cross validation in density estimation. J. Amer. Statist. Assoc. 82, 1131–1146 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  18. Sheather, S.J., Jones, M.C.: A reliable data based bandwidth selection method for kernel density estimation. J. Roy. Statist. Soc. Ser. B 53, 683–690 (1991)

    MATH  MathSciNet  Google Scholar 

  19. Stone, M.A.: Cross validatory choice and assessment of statistical predictions. J. Roy. Statist. Soc. Ser. B 36, 111–147 (1974)

    MATH  MathSciNet  Google Scholar 

  20. Taylor, C.C.: Boostrap choice of the smoothing parameter in kernel density estimation. Biometrika 36, 111–147 (1989)

    Google Scholar 

  21. Whittle, P.: On the smoothing of probability density functions. J. Roy. Statist. Soc. Ser. B 55, 549–557 (1958)

    MathSciNet  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Baldini, P., Figini, S., Giudici, P. (2006). Nonparametric Approaches for e-Learning Data. In: Perner, P. (eds) Advances in Data Mining. Applications in Medicine, Web Mining, Marketing, Image and Signal Mining. ICDM 2006. Lecture Notes in Computer Science(), vol 4065. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11790853_43

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  • DOI: https://doi.org/10.1007/11790853_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-36036-0

  • Online ISBN: 978-3-540-36037-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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