6533b7defe1ef96bd1275b62
RESEARCH PRODUCT
Examination of the least-squares method applied to the evaluation of physicochemical parameters with linearized equations
M.c.garcía Alvarez-coqueG.ramis Ramossubject
Propagation of uncertaintyChemistryPotentiometric titrationValue (computer science)BiochemistryAnalytical ChemistrySet (abstract data type)Investigation methodsLinearizationStatisticsEnvironmental ChemistryApplied mathematicsSpectroscopyEquilibrium constantdescription
Physicochemical parameters are frequently evaluated by the least-squares method after linearization of the equation which relates the experimental variables to the parameters of interest. When a given set of data is treated to evaluate (n+1) parameters. (n+2) nominally identical linearized equations are possible; each of these leads to different sets of values of the parameters which are also affected by different variances. These differences are also observed when statistical weights are used. Two methods for establishing which one of the (n+2) equations is best for fitting the data, i.e., simulation of experiments and propagation of errors, are discussed, compared and applied to a potentiometric determination of two stepwise metal/ligand equilibrium constants of approximately equal value.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1989-01-01 | Analytica Chimica Acta |