Abstract
A numerical-derivative method, employing a running cubic spline, has been developed to infer coefficients in power series expansions of total vapor pressure vs. composition data. The technique makes it possible to determine values of the coefficients individually, avoiding a generic problem in least squares analysis, viz., that the regression parameters are highly coupled and that their derived values depend strongly on the number of constants used in fitting data. The numerical derivative method also indicates when errors of measurements will preclude the determination of meaningful values of higher-order terms in polynomical representations of data.
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Christian, S.D., Tucker, E.E. & Nord, L. Retrieval of interaction coefficients from total vapor pressure-composition data. J Solution Chem 13, 869–876 (1984). https://doi.org/10.1007/BF00645333
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DOI: https://doi.org/10.1007/BF00645333