What is an appropriate way to calculate the MASE accuracy measure (Link) for a time series with multiple seasonalities?
For example: daily data with a strong weekly pattern and annual pattern.
The naive seasonal forecast used to scale the error is only allowing one seasonal pattern m
.
Using m = 365
: we are not considering the weekly pattern anymore (365 is not a multiple of 7).
Using m = 7
: we are not considering the annual pattern anymore.
m = 364
considers the weekly pattern and most of the annual pattern.
Is that thought right?
Any other idea how to calculate the MASE
for multiple seasonalities?