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Description
In spite of the arcane-sounding
name, the concept of a trimmed mean is a simple one.
In fact, trimmed means should be familiar to any follower
of international figure skating. In the wake of the
controversies surrounding the judging at the 2002 Winter
Olympics, the International Skating Union adopted a
scoring system in which a skater’s highest and
lowest marks are discarded before the skater’s
average score is calculated. Trimmed mean inflation
rates are derived by a similar procedure.
In any given month, the rate of
inflation in a price index like the Consumer Price Index
or Personal Consumption Expenditures (PCE) can be thought
of as a weighted average, or mean, of the rates of change
in the prices of all the goods and services that make
up the index. Calculating the trimmed mean PCE inflation
rate for a given month involves looking at the price
changes for each of the individual components of personal
consumption expenditures. The individual price changes
are sorted in ascending order from “fell the most”
to “rose the most,” and a certain fraction
of the most extreme observations at both ends of the
spectrum are—like a skater’s best and worst
marks—thrown out, or “trimmed.” The
inflation rate is then calculated as a weighted average
of the remaining components.
For the series presented here,
19.4 percent of the weight from the lower tail and 25.4
percent of the weight in the upper tail are trimmed.
Those proportions have been chosen, based on historical
data, to give the best fit between the trimmed mean
inflation rate and proxies for the true core PCE inflation
rate. The resulting inflation measure has been shown
to outperform the more conventional “excluding
food and energy” measure as a gauge of core inflation.
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