Your ANOVA yielded significant results (p < 0.05)—what now? Understand the exact differences in conservatism and comparison scope between Scheffé and Tukey.
Criterion
Prueba de Scheffé
Prueba de Tukey
Desarrollador
Henry Scheffé
John Tukey
Contexto de Uso
ANOVA (Prueba Post-Hoc)
ANOVA (Prueba Post-Hoc)
Nivel de Conservadurismo
Más conservadora (Menos propensa al Error Tipo I)
Menos conservadora (Mayor potencia)
Tipo de Comparaciones
Más amplias y complejas (contrastes lineales)
Más restrictivas (comparaciones pareadas simples)
When an Analysis of Variance (ANOVA) shows statistical significance (p < 0.05), we know at least one group mean differs from the rest. However, ANOVA omnibus F-test cannot specify which exact groups differ. This requires post-hoc multiple comparison tests.
Scheffé vs. Tukey: Making the Right Choice
Scheffé's test is the most versatile and conservative option; it is optimal when sample sizes are unbalanced or when complex linear contrasts are tested. Conversely, Tukey's HSD test is preferred when group sizes are equal and comparisons are restricted to simple pairwise differences.
