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Using simulation to compute p-values

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Posts: 15

Using simulation to compute p-values

Hello SAS users,


I used the SEVERITY procedure to fit and test data dstribution.


Among all the stats and plots available, one can have the critical values for the Anderson-Darling test.


Now, I wonder about a way to compute the relative p-value for such statistics/test.


Can you suggest a way to compute that?


The probability distribution is the Geenralyzed Pareto distribution.


Thanks all in advance for the help!!

Posts: 3,478

Re: Using simulation to compute p-values

Please supply sample data and code that show what you are trying to accomplish.


The title of this topic includes the phrase "using simulation", but you do not mention simulation in your question. The typical simulation approach to estimate a p-value is 

1. Compute a statistic for the observed data

2. Simulate a sample from a known population that is appropriate for the observed data. (aka, simulate from the "null distribution.")

3. Compute the same statistic for the simulated data.

4. Repeat Steps 2-3 many times.

5. Compare the observed statistic to the distribution of the statistics on the simulated samples. The Monte Carlo p-value is the proportion of simulated statistics that are more extreme than the observed statistic.


The same technique is used to estimate a p-value for a bootstrap distribution. For a simulation example, you can see the article on using Monte Carlo simulation to estimate the p-value for the chi-square test.

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