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Estimation of Unit Values in Cross Sections without Quantity Information and Implications for Demand and Welfare Analysis

Author

Listed:
  • Vincenzo Atella

    () (University of Rome II - Faculty of Economics)

  • Martina Menon

    (University of Verona - Economic Sciences)

  • Federico Perali

    () (University of Verona - Economic Sciences and University of Verona - Department of Economics)

Abstract

Household surveys frequently record only expenditure information. The lack of information about quantities purchased precludes the possibility of deriving household specific unit values. The aggregate price indexes derived from sources exogenous to the household survey are often not sufficient to identify all parameters and to provide plausible estimates. We use a theoretical result developed by Lewbel (1989) to construct "pseudo" unit values by 1) reproducing the variability of crosssectional price variation using the variability of the budget shares, and 2) adding the variability to the aggregate price indexes published by the national statistical institute. The study estimates a complete quadratic demand system using a time series of cross-sections of Italian household budgets including, in turn, aggregate price indexes and "pseudo" unit values. The results show that the matrix of compensated price elasticities is negative semidefinite only if "pseudo" unit values are used. In order to have a counterfactual experiment, we then consider a household survey with actual unit values and compare them with "pseudo" unit values. The experiment shows that in most cases "pseudo" values maintain the relevant characteristics of the distribution of actual unit values. Overall, we conclude that "pseudo" unit values are better than aggregate price indexes for sound demand and welfare analysis.

Suggested Citation

  • Vincenzo Atella & Martina Menon & Federico Perali, 2003. "Estimation of Unit Values in Cross Sections without Quantity Information and Implications for Demand and Welfare Analysis," CEIS Research Paper 12, Tor Vergata University, CEIS.
  • Handle: RePEc:rtv:ceisrp:12
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    References listed on IDEAS

    as
    1. Deaton, Angus, 1987. "Estimation of own- and cross-price elasticities from household survey data," Journal of Econometrics, Elsevier, vol. 36(1-2), pages 7-30.
    2. BLACKORBY, Charles & BOSSERT, Walter, 2004. "Interpersonal Comparisons of Well-Being," Cahiers de recherche 2004-06, Universite de Montreal, Departement de sciences economiques.
    3. Coondoo, D. & Majumder, A. & Ray, E,, 2001. "On the Method of Calculating Regional Prices Differentials with Illustrative Evidence from India," Papers 2001-09, Tasmania - Department of Economics.
    4. Lahatte, Agenor & Miquel, Ruth & Laisney, Francois & Preston, Ian, 1998. "Demand systems with unit values:: A comparison of two specifications," Economics Letters, Elsevier, vol. 58(3), pages 281-290, March.
    5. D. Coondoo & A. Majumder & R. Ray, 2001. "On a Method of Calculating Regional Price Differentials with Illustrative Evidence from India," ASARC Working Papers 2001-06, The Australian National University, Australia South Asia Research Centre.
    6. Arthur Lewbel, 1989. "Identification and Estimation of Equivalence Scales under Weak Separability," Review of Economic Studies, Oxford University Press, vol. 56(2), pages 311-316.
    7. John K. Dagsvik & Leif Brubakk, 1998. "Price Indexes for Elementary Aggregates Derived from Behavioral Assumptions," Discussion Papers 234, Statistics Norway, Research Department.
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    Citations

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    Cited by:

    1. Vincenzo Atella & Jay Coggins & Federico Perali, 2005. "Aversion to inequality in Italy and its determinants," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(2), pages 117-144, January.
    2. Vincenzo Atella & Carlos Arias & Federico Perali & Raffaella Castagnini, 2003. "Estimation of the Sharing Rule Between Adults and Children and Related Equivalence Scales Within a Collective Consumption Framework," CEIS Research Paper 28, Tor Vergata University, CEIS.
    3. Vittorio Nicolardi, 2009. "The effects of the new 1995 ESA methodologies of estimation on the structural analysis of Italian consumption," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 18(1), pages 125-149, March.
    4. Pan, Suwen & Mohanty, Samarendu & Welch, Mark, 2008. "India Edible Oil Consumption: A Censored Incomplete Demand Approach," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 40(03), December.
    5. Pashardes, Panos & Pashourtidou, Nicoletta & Zachariadis, Theodoros, 2014. "Estimating welfare aspects of changes in energy prices from preference heterogeneity," Energy Economics, Elsevier, vol. 42(C), pages 58-66.
    6. Manuel Muñoz Conde, 2014. "Estimación de equivalencias de escala," Revista de Economía Institucional, Universidad Externado de Colombia - Facultad de Economía, vol. 16(30), pages 99-130, January-J.

    More about this item

    Keywords

    Unit values; Cross-section prices; demand analysis; Slutsky matrix properties;

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • D60 - Microeconomics - - Welfare Economics - - - General

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