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Compositional Data Analysis and Zeros in Micro Data

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  • Jane M. Fry
  • Tim R.L. Fry
  • Keith R. McLaren

Abstract

The application of compositional data analysis methods in economics has some attraction. In particular, this methodology ensures that the stochastic component of budget share models will satisfy the restriction of shares to the unit simplex. The methodology relies upon the use of log-ratios in the statistical analysis. Such an approach is not possible when the data to be analyzed includes observations where the observed budget share is zero. We therefore extend the methods of compositional data analysis to the situation where the data to be analyzed includes observations where the observed budget share is zero. The modified compositional data methods are discussed both in statistical terms and through potential economic interpretations of the method. Further, the modified methodology is applied to the 1988 Australian Household Expenditure Survey yielding estimates for a system of Engel curves.

Suggested Citation

  • Jane M. Fry & Tim R.L. Fry & Keith R. McLaren, 1996. "Compositional Data Analysis and Zeros in Micro Data," Centre of Policy Studies/IMPACT Centre Working Papers g-120, Victoria University, Centre of Policy Studies/IMPACT Centre.
    • Handle: RePEc:cop:wpaper:g-120
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    References listed on IDEAS

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    1. Maureen T. Rimmer & Alan A. Powell, 1994. "Engel Flexibility in Household Budget Studies: Non-parametric Evidence versus Standard Functional Forms," Centre of Policy Studies/IMPACT Centre Working Papers op-79, Victoria University, Centre of Policy Studies/IMPACT Centre.
    2. McLaren, Keith R & Fry, Jane M & Fry, Tim R L, 1995. "A Simple Nested Test of the Almost Ideal Demand System," Empirical Economics, Springer, vol. 20(1), pages 149-161.
    3. Fry, Jane M. & Fry, Tim R. L. & McLaren, Keith R., 1996. "The stochastic specification of demand share equations: Restricting budget shares to the unit simplex," Journal of Econometrics, Elsevier, vol. 73(2), pages 377-385, August.
    4. Russel J. Cooper & Keith R. McLaren, 1992. "An Empirically Oriented Demand System with Improved Regularity Properties," Canadian Journal of Economics, Canadian Economics Association, vol. 25(3), pages 652-668, August.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Engel Curves; Modified Almost Ideal Demand System; Composi- tional Data Analysis; Australian H E S data;
    All these keywords.

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

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