Statistical analysis of diabetes mellitus

• Autorzy: Hilmar Drygas
• Języki publikacji: EN

Abstrakty

EN

This paper deals with an application of regression analysis to the regulation of the blood-sugar under diabetes mellitus. Section 2 gives a description of Gram-Schmidt orthogonalization, while Section 3 discusses the difference between Gauss-Markov estimation and Least Squares Estimation. Section 4 is devoted to the statistical analysis of the blood-sugar during the night. The response change of blood-sugar is explained by three variables: time, food and physical activity ("Bewegung"). At the beginning of the section it is shown that the proposed method was very successful in 2007.

Słowa kluczowe

EN

Gram-Schmidt orthogonalization; regression model; Gauss-Markov theorem; least squares; diabetes mellitus; glucosis; antidiabetica

Kategorie tematyczne

• 62J05: Linear regression

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae Probability and Statistics
• Rocznik: 2009
• Tom: 29
• Numer: 1
• Strony: 69-90

Daty

wydano

2009

otrzymano

2009-05-04

poprawiono

2009-08-22

Twórcy

autor

Hilmar Drygas

• Universität Kassel, Fachbereich 17 Mathematik/Informatik, Heinrich-Plett-Straße 40, D-34132 Kasse

Bibliografia

• [1] H. Drygas, The coordinate-free approach to Gauss-Markov estimation, Lecture notes in Operations Research and Mathematical Systems, Springer-Verlag Berlin-Heidelberg-New York 1970.
• [2] H. Drygas, QR-decomposition from the statistical point of view, Recent Advances in Linear Models and Related Areas, Essays in Honour of Helge Toutenburg, Shalabh and Heumann (Eds) p. 293-311, Physica-Verlag, Springer, Heidelberg 2008.
• [3] L. Schmetterer, Einführung in die Mathematische Statistik, 2. Auflage, Springer-Verlag Wien-New York 1966.
• [4] S. Debasis and S.R. Jammalamadaka, Linear Models, An integrated approach, World Scientific, New Jersey-London-Singapore-Hong Kong 2003.

Identyfikatory

DOI

10.7151/dmps.1108