Chapter 12

One-Way Between-Groups ANOVA

df_between = N_groups − 1

df_within = df₁ + df₂ +…+ df_last

(in which df₁ etc. are the degrees of freedom, N − 1, for each sample)

df_total = df_between + df_within or df_total = N_total − 1

SS_total = Σ(X − GM)² for each score

SS_within = Σ(X − M)² for each score

SS_between = Σ(M − GM)² for each score

SS_total = SS_within + SS_between

Effect Size for a One-Way Between-Groups ANOVA

Tukey HSD post-hoc test

, if equal sample sizes

, if unequal sample sizes

, for any two sample means