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Beyond Chi-Square: Evaluation of Parametric Models Used in the Analysis of Data from Fluorescence Decay Experiments

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Book cover Time-Resolved Fluorescence Spectroscopy in Biochemistry and Biology

Part of the book series: NATO Advanced Science Institutes Series ((NSSA,volume 69))

Abstract

The traditional chi-square test for goodness of fit in nonlinear least squares fitting procedures has been critically examined and its deficiencies noted. A number of alternative tests have been considered and evaluated using synthetic data. A procedure for making more reliable decisions about model acceptability is proposed.

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References

  1. W.T. Eadie, D. Drijard, F.E. James, M. Roos and B. Sadoulet, Statistical Methods in Experimental Physics, North-Holland, Amsterdam, 1971.

    MATH  Google Scholar 

  2. S. Siegel, Nonparametric Statistics for the Behavioural Sciences, McGraw-Hill, New York, 1956, pp. 52–58.

    Google Scholar 

  3. M. Kendall and A. Stuart, The Advanced Theory of Statistics, 2nd Edition, Vol.3, Griffin, London, 1968, pp. 355–357.

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  4. ibid. pp. 357–361.

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  5. ibid. pp. 351–355.

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  6. ibid. pp. 361–362.

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  7. A. Grinvald and I.Z. Steinberg, Analyt.Biochem., 59, 583 (1974)

    Article  Google Scholar 

  8. J. Johnston, Econometric Methods, 2nd Edition, McGraw-Hill, New York, 1972, p. 250.

    Google Scholar 

  9. G.S. Fishman, Concepts and Methods in Discrete Event Digital Simulation, Wiley, New York, 1973.

    Google Scholar 

  10. T.W. Anderson and D.A. Darling, Ann.Math.Stat. 23 193 (1952)

    Article  MathSciNet  MATH  Google Scholar 

  11. R. von Mises, Mathematical Theory of Probability and Statistics, Academic Press, New York, 1964, pp. 683–685.

    MATH  Google Scholar 

  12. P.R. Bevington, Data Reduction and Error Analysis for the Physical Sciences, McGraw-Hill, New York, 1969, p. 190.

    Google Scholar 

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Authors
  1. R. Catterall
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  2. D. A. Duddell
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Editor information

Editors and Affiliations

  1. University of Salford, Salford, UK

    R. B. Cundall

  2. Paterson Laboratories, Christie Hospital and Holt Radium Institute, Manchester, UK

    R. E. Dale

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© 1983 Springer Science+Business Media New York

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Catterall, R., Duddell, D.A. (1983). Beyond Chi-Square: Evaluation of Parametric Models Used in the Analysis of Data from Fluorescence Decay Experiments. In: Cundall, R.B., Dale, R.E. (eds) Time-Resolved Fluorescence Spectroscopy in Biochemistry and Biology. NATO Advanced Science Institutes Series, vol 69. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1634-4_11

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  • DOI: https://doi.org/10.1007/978-1-4757-1634-4_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1636-8

  • Online ISBN: 978-1-4757-1634-4

  • eBook Packages: Springer Book Archive

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