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One-way ANOVA Inference for one-way ANOVA - page 14 / 41

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The ANOVA table

Source of variation

Sum of squares SS

DF

Mean square MS

F

P value

F crit

Among or between “groups”

I -1

SSG/DFG

MSG/MSE

Tail area above F

Value of F for

Within groups or “error”

N - I

SSE/DFE

Total

SST=SSG+SSE

N – 1

    R2 = SSG/SSTMSE = sp

    Coefficient of determinationPooled standard deviation

The sum of squares represents variation in the data: SST = SSG + SSE.  

The degrees of freedom likewise reflect the ANOVA model: DFT = DFG + DFE.

Data (“Total”) = fit (“Groups”) + residual (“Error”)

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