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Factor Analysis for Extraction of Structural Components and Prediction in Time Series

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Advances in Data Analysis

Abstract

In this paper, factor analysis is used for the dimensional reduction of complex time series. If the structure within data is too complex to use e.g. ARIMA-models, factor analysis can be used for simplification without relevant loss of explained variation. The result are data with simple structure that can be forecasted by a standard prediction model. To give an example for this approach we predict the electricity demand per quarter of an hour of industrial customers in Germany. The data have a rather complex structure with 96 observations per day and possibly different cyclical variations during the day regarding different weekdays.

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References

  • ARMINGER, G. (1979): Faktorenanalyse. Teubner, Stuttgart.

    Book  Google Scholar 

  • BURMEISTER, T. (2006): Netznutzung und Bilanzkreissystem. In: K.-P. Horstmann and M. Cieslarczyk (Eds.): Energiehandel. Heymanns, Köln.

    Google Scholar 

  • EnWG (1998): Energiewirtschaftsgesetz vom 24.04.1998. Bundesgesetzblatt, Berlin.

    Google Scholar 

  • FRITZ, W. and KÖNIG, S. (2000): Der liberalisierte Strommarkt-eine Einführung. In: M. Kahmann and S. König (Eds.): Wettbewerb im liberalisierten Strommarkt. Springer, Berlin.

    Google Scholar 

  • GHYSELS, E. and OSBORN, D.R. (2001): The Econometric Analysis of Seasonal Time Series. Cambridge University Press, Cambridge.

    Book  MATH  Google Scholar 

  • HARVEY, A.C. and KOOPMAN, S.J. (1993): Forecasting Hourly Electricity Demand Using Time-Varying Splines. Journal of the American Statistical Association, 88,425, 1228–1236.

    Article  Google Scholar 

  • JOLLIFFE, I.T. (1986): Principle Component Analysis. Springer, New York.

    Book  Google Scholar 

  • KIM, J.-O. and MUELLER, C.W. (1994): Introduction to Factor Analysis. In: M.S. Lewis-Beck (Ed.): Factor Analysis and Related Techniques. Sage, London.

    Google Scholar 

  • LAUMANNS, U. (2005): Technische Grundlagen der Energiepolitik. In: D. Reiche (Ed.) Grundlagen der Energiepolitik. Lang, Frankfurt/Main.

    Google Scholar 

  • SCHNEIDER, C. (2002): Kostenoptimale Prognose von Lasten in der Energiewirtschaft. Eul, Lohmar.

    Google Scholar 

  • SCHNEIDER, C., ARMINGER, G. and SCHWARZ, A. (2005): Using Analysis of Variance and Factor Analysis for the Reduction of High Dimensional Variation in Time Series of Energy Consumption. Allgemeines Statistisches Archiv, 89,4, 403–418.

    Article  MathSciNet  MATH  Google Scholar 

  • THURSTONE, L. (1941): Factorial Studies of Intelligence. University of Chicago Press, Chicago/Ill.

    Google Scholar 

  • WEBB, A. (1999): Statistical Pattern Recognition. Arnold, London.

    MATH  Google Scholar 

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Schneider, C., Arminger, G. (2007). Factor Analysis for Extraction of Structural Components and Prediction in Time Series. In: Decker, R., Lenz, H.J. (eds) Advances in Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70981-7_31

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