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Aug 26, 2022 at 4:52 comment added frank You always need some dependent variable. If you cannot really describe what you mean by "dynamics", check out some of the standard properties of time series, like trend, auto-correlation, volatility, heteroskedasticity, seasonality, ... Also, you could fit a time series model to both cases and compare the fitted model parameters.
Aug 26, 2022 at 3:39 vote accept weemattisnot
Aug 26, 2022 at 3:38 comment added weemattisnot Thanks for this answer. I'll accept it as the answer, but also, a quick follow up: what if I don't know what the effect of the parameter is. Is there a way to check that there is "a difference" without pre-specifying that it is the variance (or volatility or whatever)? TIA
Aug 25, 2022 at 7:19 history answered frank CC BY-SA 4.0