Randomization Tests

I have published a paper titled Drawing Inferences from Randomization Tests. It is published here in Personality and Individual Differences. My hope in writing this paper was to describe the types of inferences one can draw from the randomization tests used in the OOM software. Here is the abstract:

Randomization tests grew out of permutation tests that were developed in the 1930s. Since then statisticians have expounded upon their nature as well as their various strengths and weaknesses. Uncertainty remains, however, with regard to the types of inferences that can be drawn from randomization tests, if indeed any type of inference can be drawn at all. In this paper we propose that randomization tests can play a role in drawing what are known as abductive inferences and inferences to best explanation from empirical research. Contemporary philosophers of science hold that such inferences are central to scientific reasoning; hence, randomization tests may serve as an effective bridge between the specific realm of statistical inference and the more general realm of scientific inference.

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