Applied Mathematics · Ch 8 — Index Numbers and Time-based Data
Simple (Unweighted) Aggregative Method
8.4.2
Simple (Unweighted) Aggregative Method
Once you need to track a group of items together — say a full basket like housing, food, medical care and transport — rather than one commodity at a time, the simple aggregative method builds a single combined index for the whole group. The idea is to express the aggregate (sum) of the group's prices in the current period as a percentage of their aggregate in the base period:
Here is the sum of the unit prices of all items in the base period, and is the sum of their unit prices in the current period . The same idea, applied to quantities instead of prices, gives the quantity index:
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