As a pure measure of inflation, the CPI has some flaws:
1) new product bias (new products are not counted for a while after the
appear)
2) discount store bias (consumers who care won't pay full price)
3) substitution bias (variations in price can cause consumers to respond by
substituting on the spot, but the basic measure holds their consumption of
various goods constant)
4) quality bias (product improvements are under-counted)
5) formula bias (overweighting of sale items in sample rotation).(Econterms)
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