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Scanner data, time aggregation and the construction of price indexes

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  • Ivancic, Lorraine
  • Erwin Diewert, W.
  • Fox, Kevin J.

Abstract

We examine the impact of time aggregation on price change estimates for 19 supermarket item categories using scanner data. Time aggregation choices lead to a difference in price change estimates for chained indexes which ranged from 0.28% to 29.73% for a superlative index and an incredible 14.88%-46,463.71% for a non-superlative index. Traditional index number theory appears to break down with weekly data, even for superlative indexes. Monthly and (in some cases) quarterly time aggregation were insufficient to eliminate downward drift in superlative indexes. To eliminate drift, a novel adaptation of a multilateral index number method is proposed.

Suggested Citation

  • Ivancic, Lorraine & Erwin Diewert, W. & Fox, Kevin J., 2011. "Scanner data, time aggregation and the construction of price indexes," Journal of Econometrics, Elsevier, vol. 161(1), pages 24-35, March.
  • Handle: RePEc:eee:econom:v:161:y:2011:i:1:p:24-35
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    1. Ivancic, Lorraine & Erwin Diewert, W. & Fox, Kevin J., 2011. "Scanner data, time aggregation and the construction of price indexes," Journal of Econometrics, Elsevier, vol. 161(1), pages 24-35, March.
    2. Kravis, Irving B, 1984. "Comparative Studies of National Incomes and Prices," Journal of Economic Literature, American Economic Association, vol. 22(1), pages 1-39, March.
    3. László Drechsler, 1973. "Weighting Of Index Numbers In Multilateral International Comparisons," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 19(1), pages 17-34, March.
    4. Diewert, W Erwin, 1978. "Superlative Index Numbers and Consistency in Aggregation," Econometrica, Econometric Society, vol. 46(4), pages 883-900, July.
    5. Chen, Yi Vivian & Heston, Alan & Lipsey, Robert, 2000. "International and interarea comparisons of income, output and prices," Journal of Asian Economics, Elsevier, vol. 11(3), pages 363-364, December.
    6. Robert C. Feenstra & Matthew D. Shapiro, 2003. "High-Frequency Substitution and the Measurement of Price Indexes," NBER Chapters, in: Scanner Data and Price Indexes, pages 123-146, National Bureau of Economic Research, Inc.
    7. Mary F. Kokoski & Brent R. Moulton & Kimberly D. Zieschang, 1999. "Interarea Price Comparisons for Heterogeneous Goods and Several Levels of Commodity Aggregation," NBER Chapters, in: International and Interarea Comparisons of Income, Output, and Prices, pages 123-169, National Bureau of Economic Research, Inc.
    8. W. Erwin Diewert, 1995. "Axiomatic and Economic Approaches to Elementary Price Indexes," NBER Working Papers 5104, National Bureau of Economic Research, Inc.
    9. William J. Hawkes & Frank W. Piotrowski, 2003. "Using Scanner Data to Improve the Quality of Measurement in the Consumer Price Index," NBER Chapters, in: Scanner Data and Price Indexes, pages 17-38, National Bureau of Economic Research, Inc.
    10. Reinsdorf, Marshall B, 1999. "Using Scanner Data to Construct CPI Basic Component Indexes," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(2), pages 152-160, April.
    11. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "Multilateral Comparisons of Output, Input, and Productivity Using Superlative Index Numbers," Economic Journal, Royal Economic Society, vol. 92(365), pages 73-86, March.
    12. W. Erwin Diewert, 1999. "Axiomatic and Economic Approaches to International Comparisons," NBER Chapters, in: International and Interarea Comparisons of Income, Output, and Prices, pages 13-107, National Bureau of Economic Research, Inc.
    13. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    14. Hill, Robert J., 2006. "Superlative index numbers: not all of them are super," Journal of Econometrics, Elsevier, vol. 130(1), pages 25-43, January.
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    More about this item

    Keywords

    Price indexes Scanner data Chain drift Multilateral index number methods Rolling window GEKS;

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

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