Calculate the degrees of freedom for error:dfError=Total dfTreatment df=244=20\text{df}_{\text{Error}}
= \text{Total df} - \text{Treatment df} = 24 - 4 = 20dfError=Total dfTreatment df=244=20 Calculate the sum of squares for error:ssError=Total ssTreatment ss=643333=310\text{ss}_{\text{Error}}
= \text{Total ss} - \text{Treatment ss} = 643 - 333 = 310ssError=Total ssTreatment ss=643333=310 Calculate the mean squares:
MSTreatment=ssTreatmentdfTreatment=3334=83.25\text{MS}_{\text{Treatment}} =
\frac{\text{ss}_{\text{Treatment}}}{\text{df}_{\text{Treatment}}} = \frac{333}{4} =
83.25MSTreatment=dfTreatmentssTreatment=4333=83.25
MSError=ssErrordfError=31020=15.5\text{MS}_{\text{Error}} =
\frac{\text{ss}_{\text{Error}}}{\text{df}_{\text{Error}}} = \frac{310}{20} =
15.5MSError=dfErrorssError=20310=15.5
Calculate the F-statistic:
F=MSTreatmentMSError=83.2515.55.37F =
\frac{\text{MS}_{\text{Treatment}}}{\text{MS}_{\text{Error}}} = \frac{83.25}{15.5} \approx
5.37F=MSErrorMSTreatment=15.583.255.37