Frequency domain analysis is useful when you have a physical quantity (which normally comes down to energy or power, in joules or watts) that you want to understand in terms of frequency. Mere periodicity of events doesn't imply that is the case. Statistical techniques, on the other hand, are widely applicable to time series data.
jcgrillo|2 years ago
In this contrived example I could have probably intuited that I was looking for something with a period of 5s without looking at the spectrum but maybe there are cases where it could be useful? I guess I'll just have to play around with data and find out :p.