Analysis of means (ANOM) methods compare means and variances and other measures of location and scale across several groups. You might want to use these methods under these circumstances:
• to test whether any of the group means are statistically different from the overall (sample) mean
• to test whether any of the group standard deviations are statistically different from the root mean square error (RMSE)
• to test whether any of the group ranges are statistically different from the overall mean of the ranges
Note: Within the Contingency platform, you can use the Analysis of Means for Proportions when the response has two categories. See Contingency Analysis.
For a description of ANOM methods and to see how JMP implements ANOM, see the book by Nelson et al. (2005).