Gives the test statistic for the normal approximation test. For details, see Two-Sample Normal Approximations.

Gives the p-value, based on a standard normal distribution, for the normal approximation test.

Gives the values of the chi-square test statistic. For details, see One-Way ChiSquare Approximations.

Gives the p-value for the test. The p-value is based on a ChiSquare distribution with degrees of freedom equal to the number of levels of X minus 1.

If your data are sparse, skewed, or heavily tied, exact tests might be more suitable than approximations based on asymptotic behavior. When you have exactly two levels of X, JMP computes test statistics for exact tests. Select Nonparametric > Exact Test and select the test of your choice. A 2-Sample: Exact Test report appears. This report gives the following:

Prob≤ S

Gives a one-sided p-value for the test.

Prob ≥ |S-Mean|

Gives a two-sided p-value for the test.