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
Azzalini, A., Bowman, A.W.: Applied Smoothing Techniques for Data Analysis. Oxford Statistical Science Series. Oxford (1997)
Fan, J., Gijbels, I.: Local Polynomial Modelling and Ist Applications. Chapman Hall, London (1996)
Giudici, P.: Applied data mining. Wiley, Chichester (2003)
Green, P.J., Silverman, B.W.: Nonparametric Regression and Generalized Linear Models: A Roughness Penality Approach. Chapman Hall, London (1994)
Hastie, T.J., Tibshirani, R.J.: Generalized Additive Models. Chapman Hall, London (1990)
Scott, D.W.: Multivariate Density Estimation: Theory, Practice and Visualisation. Wiley, New York (1992)
Simonoff, J.S.: Smoothing Methods in Statistics. Springer, New York (1996)
Wand, M.P., Jones, M.C.: Kernel Smoothing. Chapman Hall, London (1995)
Bjerve, S., Doksum, K.: Correlation curves measures of association as functions of covariate values. Ann. Statist. 21, 890–902 (1993)
Bowman, A.W.: An alternative method of cross validation for the smoothing of density estimates. Biometrika 711, 353–360 (1984)
Bowman, A.W., Foster, P.J.: Adaptive smoothing and density based tests of multivariate normality. J. Amer. Statist. Assoc. 88, 529–573 (1993)
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)
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)
Parzen, E.: On the estimation of a probability density and mode. Ann. Math. Statist. 33, 1065–1076 (1962)
Rosenblatt, M.: Remarks on some noparametric estimates of a density function. Ann. Meth. Statist. 27, 832–837 (1956)
Rudemo, M.: Empirical choice of histograms and kernel density estimators. Scand. J. Statist. 9, 65–78 (1982)
Scott, D.W., Terrell, G.: Biased and unbiased cross validation in density estimation. J. Amer. Statist. Assoc. 82, 1131–1146 (1987)
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)
Stone, M.A.: Cross validatory choice and assessment of statistical predictions. J. Roy. Statist. Soc. Ser. B 36, 111–147 (1974)
Taylor, C.C.: Boostrap choice of the smoothing parameter in kernel density estimation. Biometrika 36, 111–147 (1989)
Whittle, P.: On the smoothing of probability density functions. J. Roy. Statist. Soc. Ser. B 55, 549–557 (1958)
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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
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