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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 />

cal agencies are advised against its use as a default<br />

device without due consideration to the nature of<br />

the markets, possibility of targeting the imputation,<br />

<strong>and</strong> the viability of estimates from the sample sizes<br />

involved if such targeting is employed.<br />

7.159 If the old <strong>and</strong> replacement products are<br />

available simultaneously <strong>and</strong> the quality difference<br />

cannot be quantified, an implicit approach can be<br />

used whereby the price difference between the old<br />

<strong>and</strong> replacement product in a period in which they<br />

both exist is assumed to be due to quality. This<br />

overlap method, by replacing the old product with<br />

a new one, takes the ratio of prices in a period to<br />

be a measure of their quality difference. It is implicitly<br />

used when new samples of products are<br />

taken. The assumption of relative prices equating<br />

to quality differences at the time of the splice is<br />

unlikely to hold true if the old <strong>and</strong> replacement<br />

products are at different stages in their life cycle<br />

<strong>and</strong> different pricing strategies are used at these<br />

stages. For example, there may be deep discounting<br />

of the old product to clear inventories <strong>and</strong> price<br />

skimming of market segments that will purchase<br />

new models at relatively high prices. As with<br />

comparable replacements, early substitutions are<br />

advised so that the overlap is at a time when products<br />

are at similar stages in their life cycles.<br />

7.160 The use of the linked to show no change<br />

method <strong>and</strong> the carry forward method are not generally<br />

advised for making quality adjustment imputations<br />

for the reasons discussed unless there is<br />

deemed to be some validity to the implicit assumptions.<br />

G. High-Technology <strong>and</strong> Other<br />

Sectors with Rapid Turnover of<br />

Models<br />

7.161 The measurement of price changes of<br />

products unaffected by quality changes is primarily<br />

achieved by matching models, the aforementioned<br />

techniques being applicable when the matching<br />

breaks down. But what about industries where the<br />

matching breaks down on a regular basis because<br />

of the high turnover in new models of different<br />

qualities than the old ones The matching of prices<br />

of identical models over time, by its nature, is<br />

likely to lead to a depleted sample. There is both a<br />

dynamic universe of all products produced <strong>and</strong> a<br />

static universe of the products selected for repricing<br />

(Dalén, 1998). For example, if the sample is<br />

initiated in December, by the subsequent May the<br />

static universe will be matching prices of those<br />

products available in the static universe in both<br />

December <strong>and</strong> May but will omit the unmatched<br />

new products introduced in January, February,<br />

March, April, <strong>and</strong> May, <strong>and</strong> the unmatched old<br />

ones available in December but unavailable in<br />

May. There are two empirical questions to answer<br />

for any significant bias to be detected. First,<br />

whether the sample depletion is substantial; such<br />

depletion is a necessary condition for bias. Second,<br />

whether the unmatched new <strong>and</strong> unmatched old<br />

products are likely to have different qualityadjusted<br />

prices versus the matched ones in the current<br />

<strong>and</strong> base period.<br />

7.162 Thus, the matching of prices of identical<br />

models over time may lead to the monitoring of a<br />

sample of models increasingly unrepresentative of<br />

the population of transactions. There are old models<br />

that existed when the sample was drawn but are<br />

not available in the current period, <strong>and</strong> there are<br />

new ones coming into the current period that are<br />

not available in the base period. It may be that the<br />

departures have relatively low prices <strong>and</strong> the entrants<br />

relatively high ones <strong>and</strong> that by ignoring<br />

these prices a bias is being introduced. Using old<br />

low-priced products <strong>and</strong> ignoring new high-priced<br />

ones has the affect of biasing the index downward.<br />

In some industries, the new product may be introduced<br />

at a relatively low price <strong>and</strong> the old one may<br />

become obsolete at a relatively high one, serving a<br />

minority segment of the market (Berndt, Ling, <strong>and</strong><br />

Kyle, 2003). In this case, the bias would take the<br />

opposite direction, the nature of the bias depends<br />

on the pricing strategies of firms for new <strong>and</strong> old<br />

products.<br />

7.163 This sampling bias exists for most products.<br />

However, our concern is with product markets<br />

where the statistical agencies are finding the<br />

frequency of new product introductions <strong>and</strong> old<br />

product obsolescence sufficiently high that they<br />

may have little confidence in their results. First,<br />

some examples of such product markets will be<br />

given. Then two procedures will be considered: the<br />

use of hedonic price indices instead of partial hedonic<br />

patching <strong>and</strong> chaining.<br />

G.1 Some examples<br />

7.164 Koskimäki <strong>and</strong> Vartia (2001) attempted to<br />

match prices of personal computers over three<br />

two-month periods (spring, summer, <strong>and</strong> fall) us-<br />

182

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