Extrapolating monthly relationships to daily relationships
I've got a question about using time series on a monthly basis to gross up a time series on a daily basis.
- monthly time series survey of how much gas an electricity plant burns from regulatory body
- daily time series that I sum to monthly of pipeline receipts and compare to the monthly survey data to establish a relationship
- the monthly time series ends several months in the past
- the daily time series is reported daily, but I want to gross it up in a way that gives me a "daily regulatory body" number
So for example say my linear monthly relationship is 1.05x+95
How do I turn that into a daily relationship where x is the daily pipeline reciepts?
Posted Sep 16, 2016, 4:22 PM UTC · edited
11
This sounds related to the ecological inference problem. The idea being that, in general, it is problematic to try to make inferences about a smaller unit of aggregation than the one you conducted your analysis at. This is most often thought of in a spatial context, but I think it applies to a temporal context also.