Tukey's b (AKA, Turkey's WSD (Wholly Significant Difference)): This test strikes a balance between the Newman-Keuls and Turkey's more conservative HSD regarding Type 1 error and Power. Tukey's b is appropriate to use when one is making more than k-1 comparisons, yet fewer than(k(k-1))/2 comparisons, and needs more control of Type 1 error than Newman-Kuels.