ANOVA

ANOVA

1. Variability of the data

   • Critical factor

2. One Way ANOVA

   • K-Pouplations with same Variance
   • Independant random samples n1, n2, nk observations
   • Designed to test the Null Hypothesis H0: M1=M2=...=MK

3. Sum of squares decomposition (one way ANOVA)

   • random samples n1, n2, nk observations from k populations
   • sample means and overall means
   • Within group variability and between group variability make up total variuability
   • Total sum split into between group plus within group
     • Decomposition of squares tests the equality of group population means
     • SST=SSW+SSG