for all anova test, the sstotal=ssg+sse. True or false

Typical computer output for testing whether there is a difference in mean number of ants for the three types of sandwich fillings is shown. Identify the three measures of variability and verify that SSTotal = SSG + SSE. One-way ANOVA: Ants versus Filling Source DF SS MS F P Filling 2 1561 781 5.63 0.011 Error 21 2913 139 Total 23 4474 The sums of squares information: SST, SSG, and SSE are located in the SS column of the ANOVA table. The SSG = 1,561, SSE = 2,913, and SST = 4,474 Does SST = SSG + SSE? SSG + SSE = 1,561 + 2,913 = 4,474 = SST, so Yes