Relative Importance of Components in the Consumer Price Indexes

This page contains links to data on the relative importance of components in the Consumer Price Index for All Urban Consumers (CPI-U) and the Consumer Price Index for Urban Wage Earners and Clerical Workers (CPI-W). These data are to be used in conjunction with the CPI-U and CPI-W released in that same year.

Table 1 contains data for the U.S. city average. Tables 2 through 6 contain data for 27 metropolitan areas, 4 regions, 3 population size classes, and 10 cross-classifications of area and population size class. Table 7 presents the relative importance of the individual area all-items indexes in the U.S. city average all-items indexes.

The relative importance of a component is its expenditure or value weight expressed as a percentage of all items within an area. When the value weights are collected—most recently during the 2003-2004 Consumer Expenditure Survey—they represent average annual expenditures, and their relative importance ratios show approximately how the index population distributes expenditures among the components. Relative importance ratios represent an estimate of how consumers would distribute their expenditures as prices change over time.

Relative importance ratios cannot be used as estimates of current spending patterns or as indicators of changing consumer expenditures in the intervals between weight revisions because consumption patterns are influenced by factors other than price change. These factors include income, variations in climate, family size, and availability of new and different kinds of goods and services.

Relative importance ratios of components in the national or local area Consumer Price Indexes can be used in the construction of indexes for special combinations of items. In such instances, relative importance ratios are used as weights to combine relative changes in prices of the selected components over specified periods.

For a description of the procedure for deriving index weights from consumer expenditure data, see chapter 16, Consumer Expenditures and Income and chapter 17, The Consumer Price Index in BLS Handbook of Methods. BLS publishes the expenditure weight, or "relative importance," of each component in the CPI once a year, using December data. In fact, relative importances change every month, reflecting the change in relative prices.

How to Estimate an updated relative importance

To estimate a relative importance for a component for a month (other than December), one can use its previous published relative importance and ‘update’ it by published price changes. For example, suppose one wants to estimate the relative importance of energy for the CPI-U in Sept. 2005. To answer this, one needs the published relative importance for energy for December 2004. One also needs the Dec. 2004 and Sept. 2005 indexes for energy and for all items.

In this example, one would enter the weights and indexes for these two item categories (see the first 4 columns). The “updated weight” column is the December published weight times the relative change between Dec. 2004 and Sept. 2005.

Specifically, in this example, the updated weight for energy is 7.991 * (208.0/153.7) = 10.8141.

For all items, the updated weight is 100.000 * (198.8/190.3) = 104.4666.

To calculate the updated relative importance for energy where the weight for all items is normalized to 100, just divide the updated weight for energy by the updated weight for all items, times 100.

In this example, the estimated relative importance for energy in Sept. 2005 is (10.8141 / 104.4666) X 100 = 10.352.

Table 1. Estimating an updated relative importance for energy for Sept. 2005

Item Published relative importance, Dec. 2004 Index, Dec. 2004 Index, Sept. 2005 Updated weight, for Sept. 2005 [Dec. 2004 rel. imp. X (Sept. 2005 index / Dec. 2004 index)] Updated weight, Sept. 2005, normalized so that all items = 100.000

Energy

7.991 153.7 208.0 10.8141 10.352

All Items

100.000 190.3 198.8 104.4666 Normalized to 100.000
  

How to estimate the contribution of a component to the overall price change

Suppose that, in the above example, energy prices increase 1.0 percent in October, while the All Items index increases 0.2 percent. How does one figure out the ‘contribution’ of the Energy component to the All Items change? Asked another way, what proportion of the All Items increase can be attributed to the Energy component?

The first thing one needs to do is estimate the updated relative importance for Energy for Sept. 2005 (see Table 1 above, last column). One can then multiply the updated expenditure weight of Energy times its relative price change in October (10.352 X 1.01 = 10.456). Similarly, the updated expenditure weight for All Items is 100 X 1.002 = 100.200.

The change in the expenditure weight for Energy in October is 10.456-10.352=0.104.

The change in the expenditure weight for All Items in October is 100.200-100.00=0.200.

The contribution of energy to the All Items change equals the change in the expenditure weight for Energy, divided by the change in the expenditure weight for All Items. Specifically, the contribution of Energy to All Items in this hypothetical example is 0.104 / 0.200 = 0.52 or 52 percent. Said another way, slightly more than half the increase in the October index was due to the increase in energy prices.

Table 2. Estimating the contribution of energy to the All items change in October. 2005

Item Normalized/updated weight for Sept. 2005 (from Table 1) Price change from Sept. 2005 to Oct. 2005, expressed as a relative Updated weight, Oct. 2005 (updated weight X price change) Differences in weights

Energy

10.352 + 1.0 percent, or 1.01 10.456 10.456 – 10.352 = 0.104

All items

100.000 + 0.2 percent, or 1.002 100.200 100.200 – 100.000 = 0.200

Contribution of Energy to All Items

- - - 0.104/0.200 = 0.52 =52 percent
  

Relative Importance of Components in the Consumer Price Index

  • December 2010
    • Table 1, U.S. City Average using 2007-2008 weights (TXT)
    • Tables 1 - 7, Relative Importance of Components in the Consumer Price Index, all areas (PDF)
  • December 2009
    • Table 1, U.S. City Average using 2007-2008 weights (TXT)
    • Table 1, U.S. City Average using 2005-2006 weights (PDF)
    • Tables 1 - 7, Relative Importance of Components in the Consumer Price Index, all areas (PDF)
    • December 2008
      • Table 1, U.S. City Average using 2005-2006 weights (TXT)
      • Tables 1 - 7, Relative Importance of Components in the Consumer Price Index, all areas (PDF)
    • December 2007
      • Table 1, U.S. City Average using 2005-2006 weights (TXT)
      • Table 1, U.S. City Average using 2003-2004 weights (TXT)
      • Tables 1 - 7, Relative Importance of Components in the Consumer Price Index, all areas (PDF)
    • December 2006
      • Table 1, U.S. City Average (TXT)
      • Tables 1 - 7, Relative Importance of Components in the Consumer Price Index, all areas (PDF)
    • December 2005
      • Table 1, U.S. City Average using 2003-2004 weights (TXT)
      • Tables 1 - 7, Relative Importance of Components in the Consumer Price Index, all areas (PDF)
    • December 2004
      • Table 1, U.S. City Average (TXT)
      • Tables 1-7, Relative Importance of Components in the Consumer Price Index, all areas (PDF)
    • December 2003
      • Table 1, U.S. City Average using 1999-2000 weights (TXT)
      • Table 1, U.S. City Average using 2001-2002 weights (TXT)
      • Tables 1 - 7, Relative Importance of Components in the Consumer Price Index, all areas (PDF)
    • December 2002
      • Table 1, U.S. City Average (TXT)
      • Tables 1 - 7, Relative Importance of Components in the Consumer Price Index, all areas (PDF)
    • December 2001
      • Table 1, U.S. City Average using 1993-1995 weights (TXT)
      • Table 1, U.S. City Average using 1999-2000 weights (TXT)
      • Tables 1 - 7, Relative Importance of Components in the Consumer Price Index, all areas (PDF)

    Text files of U.S. level Relative Importances for the years 1987-2002 are available from our FTP server.

     

    Last Modified Date: October 3, 2011