DocumentCode
1210304
Title
Fitting the Hill Equation to Data: A Statistical Approach
Author
Nagelkerke, N. J J ; Strackee, J.
Author_Institution
Laboratorium Voor Medische Fysica, Universiteit van Amsterdam
Issue
6
fYear
1982
fDate
6/1/1982 12:00:00 AM
Firstpage
467
Lastpage
469
Abstract
A procedure is presented for fitting the hyperbolic Hill equation to data. The procedure is a maximum likelihood method applied to a statistical specification of the problem which allows for measurement errors in two dimensions. The procedure is found to give an excellent fit. Problems encountered with the estimation of parameters when the estimates are highly correlated due to improper spacing of the observations are discussed.
Keywords
Bayesian methods; Least squares approximation; Least squares methods; Maximum likelihood estimation; Measurement errors; Mechanical variables measurement; Muscles; Nonlinear equations; Parameter estimation; Stochastic processes; Models, Biological; Probability; Statistics as Topic; Stochastic Processes;
fLanguage
English
Journal_Title
Biomedical Engineering, IEEE Transactions on
Publisher
ieee
ISSN
0018-9294
Type
jour
DOI
10.1109/TBME.1982.324976
Filename
4121446
Link To Document