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Sample size for the estimate of consumer price subindices with alternative statistical designs

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  • Carlo De Gregorio

    (Italian National Institute of Statistics)

Abstract

This paper analyses the sample sizes needed to estimate Laspeyres consumer price subindices under a combination of alternative sample designs, aggregation methods and temporal targets. In a simplified consumer market, the definition of the statistical target has been founded on the methodological framework adopted for the Harmonized Index of Consumer Prices. For a given precision level, sample size needs have been simulated under simple and stratified random designs with three distinct approaches to elementary aggregation, founded on Carli, Jevons and Dutot formulae. Alternative temporal targets are also examined: the single monthly target, the whole sets of monthly and quarterly indices, the annual average and the annual link. Empirical evidence is finally provided, based on the elaboration of survey microdata referred to elementary aggregates - such as air transport and package holidays - characterized by high volatility within and between months.

Suggested Citation

  • Carlo De Gregorio, 2012. "Sample size for the estimate of consumer price subindices with alternative statistical designs," Rivista di statistica ufficiale, ISTAT - Italian National Institute of Statistics - (Rome, ITALY), vol. 14(1), pages 19-47, October.
  • Handle: RePEc:isa:journl:v:14:y:2012:i:1:p:19-47
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    References listed on IDEAS

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    1. Unknown, 1967. "Index," 1967 Conference, August 21-30, 1967, Sydney, New South Wales, Australia 209796, International Association of Agricultural Economists.
    2. Mick Silver & Saeed Heravi, 2006. "Why Elementary Price Index Number Formulas Differ: Price Dispersion and Product Heterogeneity," IMF Working Papers 2006/174, International Monetary Fund.
    3. Balk,Bert M., 2012. "Price and Quantity Index Numbers," Cambridge Books, Cambridge University Press, number 9781107404960, January.
    4. Kott, Phillip S, 1984. "A Superpopulation Theory Approach to the Design of Price Index Estimators with Small Sampling Biases," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(1), pages 83-90, January.
    5. Dalen, Jurgen & Ohlsson, Esbjorn, 1995. "Variance Estimation in the Swedish Consumer Price Index," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 347-356, July.
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    Cited by:

    1. Mick Silver, 2016. "How to Better Measure Hedonic Residential Property Price Indexes," IMF Working Papers 2016/213, International Monetary Fund.

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    More about this item

    Keywords

    chained index; aggregation; sample size; sampling variance; air transports; package holidays;
    All these keywords.

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

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