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Regression Modeling of a Physiological Parameter Affected by Both Intrinsic and Extrinsic Factors
Author(s) -
Qiu Peihua
Publication year - 2002
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/1521-4036(200210)44:7<887::aid-bimj887>3.0.co;2-3
Subject(s) - regression analysis , statistics , mathematics , regression , set (abstract data type) , linear regression , regression diagnostic , econometrics , polynomial regression , computer science , programming language
We discuss regression modeling of a physiological parameter affected by both intrinsic and extrinsic factors. Such parameter commonly exists in our daily life (e.g., the sleeping quality of human beings or other animals). An additive regression model is suggested which consists of two parts. The first part is for explaining the effect of intrinsic factors and the second part is for describing the effect of extrinsic factors. The fitted model is proved to be statistically consistent. Hypothesis tests about the model coefficients are also discussed. Some simulation results are presented and the modeling procedure is applied to a rat sleep data set.