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The 1995/1996 Household Income, Expenditure - (PDF, 101 mb ...

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then when they disappear from the market, there is a break in continuity, as<br />

shown by the drawing for melon prices below.<br />

<strong>The</strong>oretical Graph of the Price of Melons over Time<br />

Price<br />

oj<br />

Melons<br />

I I<br />

I I<br />

TO Tl Time<br />

V.II<br />

At time Tl, maybe a new season six months later, the overall prices are higher<br />

as well. <strong>The</strong> percentage change of all other fruits should be applied to melon<br />

prices from TO to Tl, and when melon becomes available again the series will<br />

self-correct. <strong>The</strong> decision to impute hinges on the nature of the good being<br />

truly seasonal or truly out of stock; if the item is merely sparsely available<br />

throughout the year, or only temporarily out-of-stock, it should be priced as<br />

other goods. CAP MAS price enumerators have no experience imputing values<br />

based on price changes of similar items or in using imputed prices to fill in<br />

missing cells for monthly group index calculations. Not imputing gives a<br />

permanent downward bias. Dealing with seasonal items in the Egyptian CPI is<br />

a matter of much importance and should be given special consideration in the<br />

new index.<br />

V.C.5 Estimator<br />

Unless sampling and non-sampling errors cancel it out, the Laspeyres<br />

Index formula has a natural upward bias. Moreover, a chained Laspeyres will<br />

place an even larger upward bound on the cost of living, and time will<br />

accentuate the drift. Finally, the Laspeyres estimator is sensitive to goods<br />

with high price elasticities of demand (such as fruits and vegetables), or<br />

goods that are frequently put on sale (such as clothing). Elasticities also rise<br />

the more narrowly the good is defined. A weighted average of price relatives<br />

in basic aggregation has been found to overstate price increases, and this<br />

effect will be greater the higher the price volatility. (At the BLS, a weighted<br />

ratio of average prices has been found less biased in the limit.)<br />

An estimate of estimator bias was not possible because CAP MAS refused<br />

to provide raw index price data for analysis. However, the prescription for<br />

rationalizing the index estimator in the future is still valid and bears<br />

mentioning. This would involve comparing the extent of estimator bias in the

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