Abstract
In this paper we analyse a real e-learning dataset derived from the e-learning platform of the University of Pavia. The dataset concerns an online learning environment with in-depth teaching materials. The main focus of this paper is to supply a measure of the relative importance of the exercises (test) at the end of each training unit; to build predictive models of student’s performance and finally to personalize the e-learning platform. The methodology employed is based on nonparametric statistical methods for kernel density estimation and generalized linear models and generalized additive models for predictive purposes.
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References
Azzalini A, Bowman AW (1997) Applied smoothing techniques for data analysis. Oxford Statistical Science Series, Oxford
Bjerve S, Doksum K (1993) Correlation curves measures of association as functions of covariate values. Ann Stat 21: 890–902
Bowman AW (1984) An alternative method of cross validation for the smoothing of density estimates. Biometrika 711: 353–360
Doksum K, Blyth S, Bradlow E, Meng XL, Zhao H (1994) Correlation curves as local measures of variance explained by regression. J Am Stat Assoc 89: 571–582
Fan J, Gijbels I (1996) Local polynomial modelling and Ist applications. Chapman Hall, London
Giudici P (2003) Applied data mining. Wiley, London
Green PJ, Silverman BW (1994) Nonparametric regression and generalized linear models: a roughness penality approach. Chapman Hall, London
Hastie TJ, Tibshirani RJ (1990) Generalized additive models. Chapman Hall, London
Jones MC, Marron JS, Sheather SJ (1996) A brief survey of bandwidth selection for density estimation. J Am Stat Assoc 91: 401–407
Rosenblatt M (1956) Remarks on some noparametric estimates of a density function. Ann Math Stat 27: 832–837
Rudemo M (1982) Empirical choice of histograms and kernel density estimators. Scand J Stat 9: 65–78
Scott DW (1992) Multivariate density estimation: theory, practice and visualisation. Wiley, New York
Scott DW, Terrell G (1987) Biased and unbiased cross validation in density estimation. J Am Stat Assoc 82: 1131–1146
Sheather SJ, Jones MC (1991) A reliable data based bandwidth selection method for kernel density estimation. J R Stat Soc Ser B 53: 683–690
Simonoff JS (1996) Smoothing methods in statistics. Springer, New York
Stone MA (1974) Cross validatory choice and assessment of statistical predictions. J R Stat Soc Ser B 36: 111–147
Taylor CC (1989) Boostrap choice of the smoothing parameter in kernel density estimation. Biometrika 36: 111–147
Wand MP, Jones MC (1995) Kernel smoothing. Chapman Hall, London
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Figini, S., Giudici, P. Statistical models for e-learning data. Stat Methods Appl 18, 293–304 (2009). https://doi.org/10.1007/s10260-008-0098-4
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DOI: https://doi.org/10.1007/s10260-008-0098-4