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FACTOR ANALYSIS OF A SIMULATED DATA MATRIX INVOLVING AQUEOUS COMPLEX EQUILIBRIA
作者姓名:JOSEPH M.CONNY  ROBERT R.MEGLEN
作者单位:Laboratory for Chemometrics Center for Environmental Sciences,University of Colorado at Denver,Denver,Author to whom correspondence should be sent
摘    要:Abstract factor analyses were performed on databases consisting of simulated samples from aqueousequilbria.The program COMPLEX was used to generate equilibrium species in a system of three reactantmetals and five reactant bases.Reactant concentrations and pH were drawn from random-normaldistributions so that sample data vectors comprised a multivariate log-normal distribution of equilibriumconcentrations.In addition,sample groups were created containing different distributions for pH andreactant concentrations.Equilibrium species were shown to contain variance contributed by change in pH among samples aswell as change in reactant concentrations.Factor modelling revealed the qualitative relationships amongthe species and how the relationships change with pH.Factors also revealed those reactants containingvariance in the data matrix.In some cases,reactant variance obscured relationships between pH and theequilibrium species.Since factor modelling of a simulated data matrix revealed the expected chemical equilibriuminteractions,a potentially powerful tool exists for investigating the effects of outliers and error.


FACTOR ANALYSIS OF A SIMULATED DATA MATRIX INVOLVING AQUEOUS COMPLEX EQUILIBRIA
JOSEPH M.CONNY,ROBERT R.MEGLEN.FACTOR ANALYSIS OF A SIMULATED DATA MATRIX INVOLVING AQUEOUS COMPLEX EQUILIBRIA[J].Journal of Geographical Sciences,1990(5).
Authors:JOSEPH MCONNY ROBERT RMEGLEN Laboratory for Chemometrics  Center for Environmental Sciences  University of Colorado at Denver  Denver  CO  USA Author to whom correspondence should be sent
Abstract:Abstract factor analyses were performed on databases consisting of simulated samples from aqueous equilbria.The program COMPLEX was used to generate equilibrium species in a system of three reactant metals and five reactant bases.Reactant concentrations and pH were drawn from random-normal distributions so that sample data vectors comprised a multivariate log-normal distribution of equilibrium concentrations.In addition,sample groups were created containing different distributions for pH and reactant concentrations. Equilibrium species were shown to contain variance contributed by change in pH among samples as well as change in reactant concentrations.Factor modelling revealed the qualitative relationships among the species and how the relationships change with pH.Factors also revealed those reactants containing variance in the data matrix.In some cases,reactant variance obscured relationships between pH and the equilibrium species. Since factor modelling of a simulated data matrix revealed the expected chemical equilibrium interactions,a potentially powerful tool exists for investigating the effects of outliers and error.
Keywords:Abstract factor analysis  Exploratory data analysis  Principal components  Simulated equilibria
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