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Producer Price Index Manual: Theory and Practice ... - METAC

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<strong>Producer</strong> <strong>Price</strong> <strong>Index</strong> <strong>Manual</strong><br />

current month would be this estimated current<br />

month price divided by its observed price in the<br />

previous month. This also would provide an estimated<br />

overlap price of the old size to the new one<br />

in the current month. In subsequent months, the<br />

monthly price relative would be the ratio of the<br />

current to previous month ratio of the prices of the<br />

new size product.<br />

7.22 This chapter discusses these four approaches<br />

to quality adjustment in some detail<br />

along with the assumptions they imply. Because<br />

the prices of the unavailable products are not<br />

measured by definition, the veracity of some of the<br />

maintained assumptions about their price changes,<br />

had they been available, is difficult to establish.<br />

Nevertheless, the objective of each of the methods<br />

is to produce matched comparisons of the prices of<br />

products: to compare like with like from month to<br />

month. When products are replaced with new ones<br />

of a different quality, then a quality-adjusted price<br />

is required to produce a match. If the adjustment is<br />

inappropriate, there is an error, <strong>and</strong>, if it is inappropriate<br />

in a systematic direction, there is a bias.<br />

Careful quality adjustment practices are required to<br />

avoid error <strong>and</strong> bias.<br />

A.2.2 Sampling issues<br />

7.23 Sampling issues comprise four main areas<br />

of concern. First, samples lose relevance. A given<br />

set of matched models or products is likely to become<br />

increasingly unrepresentative of the population<br />

of transactions over time. It may be that the<br />

prices of old products being dropped are relatively<br />

low <strong>and</strong> the prices of new ones relatively high, <strong>and</strong><br />

their prices are different even after quality adjustment<br />

(Silver <strong>and</strong> Heravi, 2002). For strategic reasons,<br />

firms may wish to dump old models, among<br />

other reasons to make way for the introduction of<br />

new models priced relatively high. Ignoring such<br />

unmatched models in PPI measurement will bias<br />

the index downward (see Section G.2.3 in this<br />

chapter). Ironically, the matched models method<br />

compilers employ to ensure constant quality may<br />

itself lead to bias, especially if used with an infrequently<br />

updated product sample. (See also<br />

Koskimäki <strong>and</strong> Vartia, 2001, for an example.)<br />

7.24 Second, because of the additional resources<br />

required to make quality adjustments to<br />

prices, it may be in the interests of the respondents,<br />

<strong>and</strong> indeed fall within their guidelines, to avoid<br />

making noncomparable replacements <strong>and</strong> quality<br />

adjustments. They keep with their products until<br />

they are no longer produced—that is, continue to<br />

monitor old products with limited sales. Such<br />

products may exhibit unusual price changes as<br />

they near the end of their life cycle. These unusual<br />

price changes arise because marketing strategies<br />

typically identify gains to be made from different<br />

pricing strategies at different times in the life cycle<br />

of products, particularly at the introduction <strong>and</strong><br />

end of the cycle (Parker, 1992). Yet their weight in<br />

the index, which is based on their sales share when<br />

they were sampled, would remain constant in the<br />

index <strong>and</strong> probably would be too high at the end of<br />

the life cycle. Further, new <strong>and</strong>, therefore, unmatched<br />

products with possibly large sales would<br />

be ignored. Undue weight would be given to the<br />

unusual price changes of matched products at the<br />

end of their life cycle. This issue again is resolved<br />

by more frequent sample reselection, though not<br />

necessarily of the sample of establishments but of<br />

products within a given sample of establishments.<br />

7.25 Third, the methodology for selecting replacement<br />

products advises compilers to choose a<br />

comparable replacement to avoid the need for explicit<br />

quality adjustments to prices. Obsolete products<br />

are by their nature at the end of their cycle <strong>and</strong><br />

replacements, to be comparable, must also be near<br />

or at the end of their cycles. Obsolete products<br />

with unusual price changes at the end of their cycle<br />

are replaced by other obsolete products with unusual<br />

price changes. This compounds the problem<br />

of unrepresentative samples <strong>and</strong> continues to bias<br />

the index against technically superior products delivering<br />

cheaper service flows.<br />

7.26 Finally, the sampling problem with the<br />

matching procedure occurs when the respondent<br />

continues to report prices of products until replacements<br />

are forced, that is, until the products<br />

are no longer available, but has instructions to replace<br />

them with popular products. This improves<br />

the coverage <strong>and</strong> representativity of the sample.<br />

But the wide disparity between the characteristics<br />

of the old, obsolete products <strong>and</strong> new, popular<br />

ones makes accurate quality adjustment more difficult.<br />

The (quality-adjusted) price changes of very<br />

old <strong>and</strong> very new products may not be similar as<br />

required by the imputation methods under approach<br />

1. The differences in quality likely are beyond<br />

what can be attributed to price differences in<br />

some overlap period under approach 3, since one<br />

product is in the last stages of its life cycle <strong>and</strong> the<br />

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