The CPI seems to be an issue on the list now.  This note is in response to 
the postings of Doug and Marianne (found below my response).  Pls refer to 
my previous posts to Eric and Michael for further information.

DISCLAIMER: What follows are my own thoughts and not those of BLS.  I 
personally have been working these issues for several years, but the numbers 
presented here and the state of various projects are off the top of my head. 
 I did not specifically check the latest official bias estimates nor did I 
check on the status of any particular project as I wrote this.

The answer to Doug's question, why do we continue to put out misleading 
numbers, is literally that we don't know any better.  On the other hand, the 
problems below have by and large been discovered internally and are being 
worked on internally: we do not take kindly to people telling us that we do 
not know what we are doing on the basis of our own research.  The bias in 
the CPI comes from five sources:

1.   Initiation bias.  The CPI attempts to be a Laspeyres Index, a price 
index with weights equal to beginning period quantities.  However, we do not 
ever collect quantities but instead collect expenditures.  When an item is 
first used in the index the weight is determined by dividing the expenditure 
by the price at that time.  The result is that items which are on sale get 
too high a weight while for those not on sale the weight is too low.  Now, 
the probability of sale items (high weights) going up is much higher than 
the probability of the regular price items (low weights) going up, and hence 
the index has an upward bias for the first few months after a new item is 
initiated.  The magnitude of this bias for the all-items index is perhaps 
0.4% per year.  The current procedure which imparts this bias has been in 
place only since 1978 and hence the earlier numbers are free of it.  While 
the reason for the bias is not complex it nevertheless was quite challenging 
to figure it out in practice since the actual procedure for calculating the 
index is quite complicated.  We were alerted to the problem by anomalous 
results comparing average prices with the index for certain items.  Our task 
was not made any easier by the presence of disinformation in the form of a 
superficially plausible but quite wrong explanation for the discrepancy. 
 The name that has come to be applied to this problem is "formula bias," and 
we will eliminate it beginning in Jan., 1997.

2.   Substitution bias.  The Laspeyres Index is based on pricing the same 
quantities each month while consumers vary their spending patterns to 
respond to changing prices.  Thus theoretically the Laspeyres Index under 
certain conditions provides an upper bound to the Konus (constant utility) 
Index.  The magnitude of this bias is 0.2-0.3% per year.  To remedy this 
problem by brute force would require collecting quantities as well as prices 
every month, an approach that is precluded by budget considerations.  I am 
at present working to develop procedure to provide at least an approximate 
solution econometrically.  Are you holding your breath waiting for it? 
 Please don't.

3.   New product (technological change) bias.  All index formulas that I am 
familiar with incorrectly assume N goods which are available each month, and 
hence new products are ruled out by assumption.  This is very harmful since 
there is sometimes great utility from a new product, and a price index 
misses this entirely.  In addition, there is often a life cycle pricing 
pattern as the price starts high, falls to a "normal" level as the product 
matures, and may rise again at the end.  An index will tend to miss the 
decrease and overweight the later increase.  The magnitude of this effect is 
perhaps 0.5% per year.  We are making some steps to correct this by 
initiating certain items, e.g., pharmaceuticals and electronics, more often, 
but a thorough attempt to capture this effect could require enormous 
resources.

4.   Outlet substitution bias.  We do not capture the savings arising as 
shoppers shift away from high priced stores to lower priced ones.  The 
magnitude of this effect is about 0.1% per year.  Off hand I do not know of 
a good way to fix this directly, although I have the very strong feeling 
that it would take a substantial financial commitment.

5.   Small sample bias.  The national CPI is calculated as a Laspeyres Index 
of metropolitan area CPI's.  In small samples the expectation of the ratio 
of weighted averages of prices is not the ratio of the expectations.  The 
magnitude of this effect is about 0.1% per year.  The solution would be to 
change our procedure for calculating the index by replacing the current 
bottom up procedure with a top down one.  This has been rejected at present 
for fear that this big a computer change would lead to the possibility of a 
major error in index calculation.

The sum of these biases is a little less than 1.5% per year.  Leaving out 
formula bias, which began in 1978, the bias in the golden age was of the 
order of 1% per year, and hence, to answer Doug's question, growth was even 
higher than previously reported.

I do not know what Janet Norwood thinks on these issues.

Marianne notes that WEFA estimates the total bias as 394/367-1 = 7.3% over 
the 25 years from 1970 to 1995.  Not being familiar with the work I cannot 
comment specifically, but I have the feeling that all of the factors listed 
above were not considered.

Marianne also suggests that we underestimate "the rise in the cost of child 
care, elder care, meals,
laundry as production has shifted out of the informal sector."  Off hand I 
am not sure.  What has happened is that these activities have increasingly 
become market activities as home production has shrunk.  Thus to compare 
them would require the imputation of a wage rate to the home production and 
a whole host of complicated side calculations.  I do not know the direction 
of the bias that would result.  I do suspect, however, that since these 
activities comprise a rather small share of the national economy, the effect 
on the CPI would not be great.

Marianne's comment into the nonmarket economy leads me to the environment, 
an element of the cost of living which should get more attention than it 
does.  Indeed, the Konus constant utility concept, taken literally, does 
require an environmental component.  For example, at present we adjust the 
prices of new cars to reflect new features, and attempt thereby to measure 
the pure price effect.  We do not, however, consider the condition of the 
roads.  Thus there is a basic question which is seldom, if ever, asked.  On 
a 90 degree day, are we better off with the air conditioner on listening to 
our favorite CD's while sitting in traffic than we were 50 years ago with 
the windows open listening to an AM radio while poking along at 30 mph? 
 There are lots of these examples, and as far as I know careful estimates of 
the total effect have not been presented.

Dave Richardson

 ----------

I'm surprised to see someone from the BLS say the CPI is so badly
overstated. On what evidence is this based? If the BLS internally thinks
this, why does it continue to put out such misleading numbers? Former BLS
Commissioner Janet Norwood seems not to agree. And if it's overstated now,
was it also so in the past, meaning that real wage growth was even higher
during the golden age than officially reported?

Doug

 --

Doug Henwood
Left Business Observer
250 W 85 St
New York NY 10024-3217
USA
+1-212-874-4020 voice
+1-212-874-3137 fax
email: <[EMAIL PROTECTED]>
web: <http://www.panix.com/~dhenwood/LBO_home.html>

 -----------

The WEFA Group (Wharton Econometrics and Chase Manhattan merged) have been
using their own consumer expenditures deflator, which I believes is based
on data that goes into the CPI and other US data.  While they show a slower
rate of inflation than the CPI, the difference is not that great:  they get
a 367 percent increase between 1970 and 1995 versus the 394 percent
increase shown by the CPI.  My understanding is that the downward revisions
in the CPI, while adjusting for upward biases in the CPI, do not take
adequately into account downward biases (eg
underestimation of the rise in the cost of child care, elder care, meals,
laundry as production has shifted out of the informal sector).

Marianne Hill
[EMAIL PROTECTED]

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