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Testimony of Governor Edward M. Gramlich
Improving the consumer price index
Before the Subcommittee on Human Resources of the Committee on
Government Reform and Oversight, U.S. House of Representatives
April 29, 1998
Mr. Chairman and members of the Subcommittee, I am pleased to appear before you to
discuss improving the Consumer Price Index. I begin by thanking this Subcommittee for
holding today's hearing and for its past work in examining the issue of bias in the CPI.
Although these issues are difficult and complex, your demonstrated interest has helped keep
the focus on ways to improve the index further.
The Consumer Price Index plays a central role in many aspects of private and public
decision making: The CPI is the key price measure for indexation of federal spending and
tax programs, and many contracts in the private sector are linked to the CPI. In addition, the
CPI is used for inflation adjusting the Treasury's indexed bonds, which help to provide a
reading on expectations of future inflation and on real interest rates. The CPI is also among
the inflation measures examined in the conduct of monetary policy. Thus, it is essential that
the nation strive for as accurate a measure as possible.
In that regard, the Bureau of Labor Statistics has made laudable progress in the past several
years. Sample rotation problems that were uncovered by BLS researchers have largely been
eliminated. The measurement in the categories of rent, computers, pharmaceuticals, and
health care services has been improved. Looking ahead, the recently announced decision to
apply the geometric-mean aggregation procedure should largely rectify so-called lower-level
substitution bias. The shift in emphasis from geography to product categories for sample
rotation provides an opportunity for BLS to ameliorate some of the bias associated with new
goods, provided that it actively rotates the sample for products undergoing rapid innovation.
But while these steps are impressive, the hard work must continue if the CPI is to keep up
with an ever-changing economy.
The hearings that this Subcommittee held last year on the CPI provided a very clear
summary of the arguments surrounding some of the difficult measurement problems
confronting the BLS and the range of professional opinions concerning the quantitative
significance of those problems. A useful categorization divides these issues into two parts.
The first relates to the formula used by BLS for building up the overall CPI from the
individual prices collected by field representatives. Although these issues are quite
technical, they are fairly well understood by the BLS and by economists outside the
statistical agencies. The second set of issues concerns the individual prices themselves, and
in particular, how these prices are adjusted to account for quality change and the
introduction of new goods. These issues are extremely difficult--both conceptually and
practically--and there is much less consensus about the quantitative significance of the bias
associated with new goods and quality change. Research into all of these questions has

continued over the past year, but, to my knowledge, there have been few major
developments that would alter significantly the opinions voiced by the witnesses at last
April's hearing.
Improving the CPI
Rather than rehash arguments surrounding the difficult and controversial aspects of price
measurement related to new goods and quality change, a more useful approach might be to
seek common ground among the participants in this discussion. This means pushing forward
where there is greater agreement on the set of issues related to the aggregation formulas
used to build up the CPI. As some have put it, we should first go after the low-hanging fruit
on our statistical trees. In that regard, a striking aspect of the hearings that the Subcommittee
held last year was the virtual unanimity that a price index that tracks the cost of purchasing a
fixed market basket of goods and services, such as the CPI now does, represents an upper
bound on changes in the true cost of living. I doubt there exists a professor teaching
microeconomics who doesn't routinely demonstrate this characteristic of fixed-weight price
indexes to his or her classes. The reason is that consumers respond to changes in relative
prices by altering the composition of their purchases, and this response lowers the cost to
them of the price changes.
Consider a couple of examples. If chicken goes on sale, some consumers would buy more
chicken and less beef or pork. Also, as computer prices have fallen dramatically in recent
years, consumers have increased their purchases of computers. At present, however, the
market basket used in constructing the CPI changes only once every ten years. Although
BLS has just updated this market basket, the current methodology for the CPI will lock this
market basket in place for the next decade, implying that consumers are assumed not to do
any substitution at all over this period. Under these procedures, the CPI will fail to capture
the ways in which consumers adjust their spending patterns to take advantage of changes in
relative prices.
We should distinguish between two levels of substitution bias. In the discussion here, I am
focusing on what has been termed upper-level substitution bias. Based on surveys of what
consumers buy, the BLS has a list of 211 items in the typical consumers' market basket.
Upper-level substitution bias arises from substitution among these items that is not captured
by the CPI, such as between chicken and beef or between breakfast cereal and other
breakfast items. In addition, consumers also make substitutions among different varieties of
the same item in their market baskets, such as when consumers switch between different
brands of breakfast cereal. By early 1999, the BLS will have largely accounted for this
lower-level substitution when it implements a geometric-means formula to combine
individual prices at the lowest level in the index.
Although the CPI as currently constructed does not account for the upper-level substitution
possibilities available to consumers, indexes that do take account of such substitutions can
be calculated; economists refer to them as superlative indexes because of their desirable
properties. Indeed, on an experimental basis, the BLS already produces superlative indexes,
but these indexes are only available with a considerable lag. In any case, using data from
recent decades, several studies have constructed indexes that take full account of consumer
substitution and have used these indexes as benchmarks to compare to the actual CPI.
Through such comparisons, it is possible to assess the amount of bias in the CPI arising
from upper-level consumer substitution. Although estimates depend on the time period
considered and other particulars of these studies, this research broadly suggests that

correcting upper-level substitution bias could be expected to reduce the rate of change in the
CPI by about 0.2 percentage point per year; for example, if the current CPI showed an
increase of 2.0 percent over a year, then after correcting for this type of substitution bias, the
CPI could be expected to show an increase of about 1.8 percent. Although this might not
sound large, a bias of this size compounded over many years would have marked
implications for any program or contract that is linked to the CPI.
Reducing Upper-level Substitution Bias
To correct fully for upper-level substitution bias it would be necessary to know how market
baskets change on a regular basis in order to capture the substitution among different items.
The expenditure data required for such calculations are obtained from the Consumer
Expenditure Survey. And, because of collection and processing time, these data are only
available with a lag, so that the figures for 1997 are not expected to be available until later
this year. Thus, the data from the Consumer Expenditure Survey can not be used to
construct a real time price index that fully captures consumers' substitution among items.
This lag is the reason BLS's experimental superlative index is only produced with a delay.
But, the important question should not be whether it is possible to construct a perfect index,
but rather whether techniques are available for creating a monthly cost-of-living index that
would represent an improvement over the CPI as currently constructed.
The answer is yes. The Boskin Commission, which included my distinguished colleague
Robert Gordon, suggested as a possible solution the use of a trailing Tornqvist price index.
This index would use the Tornqvist index formula--which can capture substitution among
items--and would update weights each year. To be operational in real time, this index would
need to use lagged, or trailing, weights. For example, average weights from 1994-1995
could be used for calculating 1997 changes in the cost of living. Another approach has been
suggested by Matthew Shapiro and David Wilcox. They have devised a so-called constant
elasticity of substitution--or CES--index that appears to largely eliminate upper-level
substitution bias. In contrast to the current setup that assumes no substitution among items,
the class of CES indexes imposes a positive degree of substitution among all items, and
alternative CES indexes would impose different degrees of substitutability. These authors
searched to find the degree of substitutability that provided the closest approximation to a
benchmark superlative index, but which can be implemented on a monthly basis in real
time. There may well be other approaches worthy of serious consideration to rectify the
problem of upper-level substitution bias.
Moving Forward
To spur progress on this issue, about which there appears to be considerable agreement, one
approach that this Subcommittee could consider would be to commission a study of
substitution bias to be undertaken by the staff of the BLS. The BLS could be asked to
compare their current procedures with those that have been proposed by other researchers.
Specifically, I would suggest that they determine which of these alternative approaches
provides the most timely and accurate approximation to the superlative indexes published
by the BLS, recalling that, while these superlative indexes may be the best, they are
available only with a considerable lag. In evaluating the alternatives, the objective should
not be to establish a perfect measure--such a goal is unattainable. Rather the objective
should be to produce the best measure of the cost of living that can be constructed in real
time from existing knowledge and data.
At the same time, the Subcommittee could recommend the establishment of a formal panel

of outside experts to review the BLS's evaluation of the alternatives and to provide an
independent assessment of the BLS study to the Committee. The panel could also consult
with the research staff of the BLS on the design of the study and the interpretation of the
results. If differences remained after completion of the study, the panel of experts would
provide a mechanism for independent assessment of alternative approaches that could be
helpful to this Subcommittee's oversight responsibilities.
A Two-Track Approach
Let me raise one further issue that would inevitably arise from such a study. Even the best
real-time approximation to a superlative index would not match the superlative index that
ultimately could be constructed once expenditure share data ultimately became available. To
deal with this problem, the Boskin Commission suggested pursuing a two-track approach.
For the first track, BLS could continue to publish a monthly index in real time that would
never be revised. This index would be much like the current CPI except that--going forward-it could be based on an aggregation formula that minimizes upper-level substitution bias.
For the second track, BLS could publish, with a lag, a superlative index that incorporated
full information on changing expenditure shares and could be revised subsequently to
incorporate other improvements to the CPI as well.
This two-track approach has advantages and disadvantages. On the positive side, the two
track approach would provide indexes for users with diverse needs: a never-revised index
for those for whom revisions would impose operational difficulties and a second revisable
index that would be the best possible measure of changes in the cost of living. On the
negative side, I am concerned that the publication of two different price indexes as part of
the CPI program might generate some confusion. If this confusion were judged to be a
serious problem, BLS could alternatively produce a single measure that was revised and,
ultimately, incorporated all information on spending patterns in the best possible way. For
example, the CPI for April could be initially constructed using one of the approximations to
a superlative index that I described above, but when full data on consumer expenditure
shares became available some months later, the level of the CPI for April could be revised to
be an exact superlative index rather than a close approximation. Were this to be done,
government and private contracts that are linked to the CPI would have to alter their
indexation procedures.
Returning to my primary message, a study of substitution bias and an outside review panel
holds the promise of forming the basis of a reasonable professional consensus on limited
technical changes that would correct substitution bias and make the CPI a more accurate
measure of the cost of living. Such a consensus is critical for maintaining public support and
confidence in our statistical programs. That confidence can only be enhanced when the
government is striving to develop the most accurate measures possible.
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1998 Testimony
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