Empirical Approaches to the Problem of Aggregation Over Individuals

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Empirical Approaches to the Problem of Aggregation Over Individuals
Thomas M Stoker
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If b is constant for all t, then one can only conclude that the large -small differences are sufficiently smeared in the aggregate data as not to be noticed empirically. This is an unfortunate "synchronization" of x. And /9. , as one cannot learn whether the data has involved a sectoral trend from "small" to "large" groups or vice versa, which is necessary information for applying the model out of sample. This issue has a simple answer, which is to model differences among ^. 's using observable... micro data, so that the aggregate model reflects as many systematic features of individual behavior as possible. Modeling all coefficient differences in this way amounts to an exact aggregation approach, with the "aggregation factors" based on observable features only.
Another depiction of the "synchronization" phenomena is given in Clive Granger's (1987, 1990) analysis of "common factors. " This work points out how studies of individual level data involve different sources of variation from studies of aggregate level data, as follows.


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