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What is the best way to test the difference in means for two samples of data that follow a Tweedie distribution? (zero inflated, tweedie power parameter ~1.7)

The data represents the number of purchases made by users on an online website, where most visitors don’t make a purchase, hence the zeroes.

I would like to calculate the p-value and confidence intervals.

Is a t-test appropriate? How about a permutation test or bootstrapping?

My data is very large (several million users), so a method that would be computationally efficient would be desirable, although I don’t mind computation intensive processing if it would result in more sensitivity/accuracy.

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