Statistical analysis of diabetes mellitus
Discussiones Mathematicae Probability and Statistics (2009)
- Volume: 29, Issue: 1, page 69-90
- ISSN: 1509-9423
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topHilmar Drygas. "Statistical analysis of diabetes mellitus." Discussiones Mathematicae Probability and Statistics 29.1 (2009): 69-90. <http://eudml.org/doc/277068>.
@article{HilmarDrygas2009,
abstract = {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.},
author = {Hilmar Drygas},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {Gram-Schmidt orthogonalization; regression model; Gauss-Markov theorem; least squares; diabetes mellitus; glucosis; antidiabetica},
language = {eng},
number = {1},
pages = {69-90},
title = {Statistical analysis of diabetes mellitus},
url = {http://eudml.org/doc/277068},
volume = {29},
year = {2009},
}
TY - JOUR
AU - Hilmar Drygas
TI - Statistical analysis of diabetes mellitus
JO - Discussiones Mathematicae Probability and Statistics
PY - 2009
VL - 29
IS - 1
SP - 69
EP - 90
AB - 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.
LA - eng
KW - Gram-Schmidt orthogonalization; regression model; Gauss-Markov theorem; least squares; diabetes mellitus; glucosis; antidiabetica
UR - http://eudml.org/doc/277068
ER -
References
top- [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. Zbl0215.26504
- [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. Zbl1049.62080
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