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
fDate :
6/1/1982 12:00:00 AM
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;
Journal_Title :
Biomedical Engineering, IEEE Transactions on
DOI :
10.1109/TBME.1982.324976
