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Functional forms and the estimation of a state's sales tax revenue: Tennessee as a case study

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Abstract

Problems of specifying a proper functional form for estimating sales tax revenues of a state are discussed. A general functional form is introduced, in which linear and log-linear forms are special cases. The maximum likelihood approach and data for Tennessee are used to estimate parameters in the general form. Empirical results disclose that the null hypotheses indicating the functional form is linear or log-linear are both rejected. The best functional form obtained from the general form provides not only better R2 and Durbin-Watson statistic, but also generates estimates of sales tax collections with smaller errors than the linear and log-linear forms.

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References

  1. Adams, F. G., C. G. Brooking and H. J. Glickman, “On the Specification and Simulation of a Regional Econometric Model: A Model of Mississippi,”Review of Economics and Statistics, Vol. 53 (1975), pp. 286–298.

    Google Scholar 

  2. Box, G. E. P., and C. R. Cox, “An Analysis of Transformations,”Journal of Royal Statistical Society, Series B, Vol. 26 (1964), pp. 211–243.

    Google Scholar 

  3. Chang, H. S., “A Computer Program for Box-Cox Transformation and Estimation Technique,”Econometrica, vol. 45 (October 1977), p. 1743.

    Google Scholar 

  4. —, “Functional Forms and the Demand for Meat in the United States,”Review of Economics and Statistics, Vol. 59 (1977), pp. 355–359.

    Google Scholar 

  5. —,Tennessee Econometric Model: Phase I, Center for Business and Economic Research, University of Tennessee, Knoxville, March 1976.

    Google Scholar 

  6. Friedlaender, A.F., G. J. Swanson and J. F. Due, “Estimating Income and Sales Tax Revenue Changes in Response to Changes in Personal Income and Sales Tax Rates,”National Tax Journal, Vol. 26 (1973), pp. 103–113.

    Google Scholar 

  7. Granger, C. W. J. and P. Newbold, “The Use of R2 to Determine the Appropriate Transformation of Regression Variables,”Journal of Econometrics, Vol. 4 (1976), pp. 205–210.

    Google Scholar 

  8. Howrey, E. P., L. R. Klein and M. D. McCarthy, “Notes of Testing the Predictive Performance of Econometric Models,”International Economic Review, Vol. 15 (1974), pp. 366–383.

    Google Scholar 

  9. J. Kmenta,Elements of Econometrics, New York, The Macmillan Company, 1971.

    Google Scholar 

  10. Legler, J.B. and P. Shapiro, “The Responsiveness of State Tax Revenue to Economic Growth,”National Tax Journal, Vol. 21 (1968), pp. 46–56.

    Google Scholar 

  11. Zarembka, P. “Transformation of Variables in Econometrics,” in P. Zarembka (ed.),Frontiers in Econometrics, New York, Academic Press, 1974.

    Google Scholar 

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The author would like to thank Professor Charles B. Garrison for helpful editorial suggestions, which resulted in improvement in the presentation of the paper.

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Chang, H.S. Functional forms and the estimation of a state's sales tax revenue: Tennessee as a case study. Ann Reg Sci 13, 8–18 (1979). https://doi.org/10.1007/BF01284776

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