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The dependence of the variances of the parameters in non-linear regression analysis on the number of data points
Authors:Louis Meites  Nicolangelo Fanelli  Paolo Papoff
Affiliation:Deparment of Chemistry, George Mason University, 4400 University Drive, Fairfax, VA U.S.A.;C.N.R. Istituto di Chimica Analitica Strumentale, Dipartimento di Chimica e Chimica Industriale dell''Universitá, Via del Risorgimento, 35, 56100 Pisa Italy
Abstract:In designing an experimentin which non-linear regression analysis is used to evaluate the physicochemical parameters that chracterize the behavior of the system being studied, it would be useful to be able to predict how the number of data points affects th reliabilities of the values obtained. The relation between these depends on hos the points are distributed as well as on the nature of the equation to which thd data are fitted. Weighted non-linear regression analysis has been applied to six common equations involving a total of fourteen parameters, using a number of n of points that was varied from 4 to
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