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Table 2 Summary of multiple comparison methods

From: Rapid publication-ready MS-Word tables for one-way ANOVA

LSD

Highest error rate and power of any method. In general, it controls the FWER in the weak sense; when there are 3 treatment groups, the FWER is controlled in the strong sense.

BF

Controls the FWER in the strong sense, but it is too conservative (reduces the number of true positives).

TK

Lowest error rate and power, control the FWER in the strong-sense

SNK

Error-rate and power intermediate between TK and DMRT. Controls the FWER in the weak sense.

DC

Error-rate and power intermediate between SNK and LSD. Controls the FWER in the weak sense.

  1. The table was taken from Christensen (2011) with some modifications.
  2. BF = Bonferroni; DC: Duncan method; LSD = Least significant difference; SNK = Student-Newman-Keuls; TK = Tukey Kramer (or Tukey HSD in balanced designs).