Permutation Tests

The sorted values in the randomization distribution are:
-0.95 -0.95 -0.94 -0.87 -0.86 -0.86 -0.83 -0.81 -0.81 -0.80
-0.79 -0.77 -0.77 -0.76 -0.76 -0.74 -0.74 -0.74 -0.74 -0.74



960 more values



0.74 0.75 0.76 0.76 0.76 0.78 0.80 0.81 0.81 0.82
0.82 0.82 0.84 0.90 0.90 0.90 0.94 1.01 1.02 1.10
(a) 2 pts. What is the observed value of the test statistic used in the randomization test?
(b) 5 pts. Compute the randomization-based two-sided p-value for testing the null hypothesis
of no effect of washing. If you have insufficient information, indicate what addition information you need.

I'm not sure how to calculated a randomization test without the actual data. Could anyone explain the process to me?

Hey renolovexoxo.

Can you be more specific about the kind of test you are referring to? Randomization suggests you are using a simulation method based on some sample data, but there are many different kinds of simulation methods that you can use.

A permutation test is where you calculate all possible sample combinations under a combinatorial constraint and then use this to get a distribution of test-statistics which you apply a rejection region to to either reject or fail to reject a particular hypotheses.

What kind of technique are you looking at?

This was about all the problem said, I am assuming that it is a permutation test, since that is all we learned about in class. That's how I had hoped to proceed, but I don't know how.

You usually don't use permutation tests when you have a huge sample size: there's no real point for this.

You need to give more context for the question: what does this distribution of numbers represent? What are the null and alternative hypotheses in relation to the data and what the data represents?

I wouldn't if I had a choice, this is my question that I have to answer.