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DETECTION OF OUTLIERS IN THE CANADIAN CONSUMER PRICE INDEX (CPI) ABDELNASSER SAÏDI AND SUSANA RUBIN BLEUER STATISTICS PowerPoint Presentation
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DETECTION OF OUTLIERS IN THE CANADIAN CONSUMER PRICE INDEX (CPI) ABDELNASSER SAÏDI AND SUSANA RUBIN BLEUER STATISTICS - PowerPoint PPT Presentation


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DETECTION OF OUTLIERS IN THE CANADIAN CONSUMER PRICE INDEX (CPI) ABDELNASSER SAÏDI AND SUSANA RUBIN BLEUER STATISTICS CANADA. What is the CPI ?. Is a weighted arithmetic average of price indexes over all basic classes. The weights are obtained from the survey of households spending.

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DETECTION OF OUTLIERS IN THE CANADIAN CONSUMER PRICE INDEX (CPI)

ABDELNASSER SAÏDI AND SUSANA RUBIN BLEUER

STATISTICS CANADA

what is the cpi
What is the CPI ?
  • Is a weighted arithmetic average of price indexes over all basic classes. The weights are obtained from the survey of households spending.
  • the price index at the basic class is in turn a weighted sum of the micro indexes over all the items in the class.
  • The micro index is a geometric mean of the price relatives of n outlets surveyed.
current evaluation procedures
CURRENT EVALUATION PROCEDURES
  • Large amount of resources used to correct a small number of errors.
  • verifications made manually:
    • Verification of all records with status ‘special’.
    • Verification of all records with a relative price increased or decreased by 15%.
  • Editing procedures related to missing values, missing outlets and quality changes (see Allard-Saulnier and Beyrouti (2003)).
proposed evaluation procedures
PROPOSED EVALUATION PROCEDURES
  • Performed on an editing group
    • All observations pertaining to a particular item
    • and in a particular geographical area ( 4 possible levels)
    • and having the same status code if the percentage of “SP’s” > 15%.
      • status code “ SP’s ”

( regular → special or special→ regular).

proposed evaluation procedures5
PROPOSED EVALUATION PROCEDURES
  • Methods considered :
      • ILO Tukey and variants,
      • MAD (Median Absolute Deviation),
      • Quartile method and HB (Hidiroglou-Berthelot)
      • RFM (Resistant Fence Method)
  • Detection method with higher breakdown point than Tukey’s method and taking into account the skewness of the distribution and the small size of the CPI sample are favoured
  • Quartile method with asymmetric fences applied to the log of the price relatives was recommended
influence in the basic class
INFLUENCE IN THE BASIC CLASS
  • Contribution of each outlier on the basic class index
  • Analysis of the percentage of contribution
  • How to define a cut-off to identify influent observations ?