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I have quarterly sales data for ~80 products spanning 4 years. I also have 16 different external interventions, where one or multiple of them have occured on the products on different dates during the sales period (shcematic example in figures below).

Products' sales over a 4 year period

Interventions on products at some dates

I realize that if one type of intervention occured on all the products at the same time that this could be identified using something like the method presented in this article: http://freerangestats.info/blog/2018/08/14/fuel-prices

The same event in my data can occur for different dates across different products, though. I also have several different events to evaluate.

Is there a way of evaluating one (or several different) intervention(s) across several samples if it occurs at different times?

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