Title:

The Shared Area Under Probability Curves Test: A Much-Less-Parametric Alternative to the Analysis of Variance

The commonly-used analysis of variance test has rigid assumptions. If these assumptions are not met, results can be misleading and erroneous. Non-parametric alternatives to the analysis of variance test use ranks that result in information (absolute distances between observations) being lost. The shared area under probability curves test is a new, non-parametric alternative to the analysis of variance that makes no assumptions about the data and that does not manipulate the data in any way that would cause information to be lost. This test calculates the amount of area under the curve shared by two probability distributions, each representing one group, to make inferences about whether groups are different.

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