I am looking for a hypothesis test to compare the means of many groups similar to ANOVA or Kruskal–Wallis. The problem is my data does not meet the necessary conditions for these tests having significantly different variances (I tested this with Bartlett's Test) meaning I cannot use ANOVA and the data is not continuous so I cannot use Kruskal–Wallis.
Other Characteristics of the Data:
- 6 Groups
- Discrete Data
- 100 measurements per group
- all groups are roughly normal
- each has a different mean and variance
It is also worthwhile to note I will want to do some post hoc tests to find if the greatest result is significant compared to the rest, and therefore if there any tests that I can perform to directly compare the group with the highest mean to the rest that my data would work well with, that would also be helpful. Ultimately I want to find if a given group, or multiple groups, is significantly greater than the rest.