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Hundreds, if not more.

For a given set of data, you calculate a statistic.

Select a null and alternative hypotheses. These may include the kind of distribution as well as parameters about its location and spread (mean and variance).

Determine the probability distribution function (pdf) of that statistic when the null hypothesis is true.

Decide on the significance level that you wish to use.

Determine values of the statistic such that the probability of observing a value at least as extreme is less than the significance level.

You have a test.

There are almost no constraints on the distribution that you select at the second stage and so, provided you can determine the pdf of the test statistic under your assumptions, there are no limits to the number of tests you can devise.

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10y ago

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Q: How many statistical tests do you have?
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