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There are new proposals for prices indexes that attempt to correct for what they consider bias in standard indexes from changes in consumer preferences. But these proposals have a fundamental problem that changes in preferences between two periods cannot be identi.ed by data on prices and quantities with only a normalization. This paper shows that the required normalization is not free, so that an arbitrary choice of normalization can yield any desired index result. In fact, a normalization using the Sato-Vartia weights yields a Sato-Vartia index, implying exactly zero bias.