Non-Uniform Bounds for Nonparametric T Tests

This Paper Gives Non-Uniform Bounds on the Tail Areas of the Permutation Distribution of the Usual Student's T Statistic When the Observations Are Independent with Symmetric Distributions. As Opposed to Uniform Bounds, Non-Uniform Bounds Depend on the Observed Sample. It Is Shown That the Non-Uniform Bounds Proposed Are Always Tighter Than Uniform Exponential Bounds Previously Suggested. the Use of the Bounds to Perform Nonparametric T Tests Is Discussed and Numerical Examples Are Presented.