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Sum of Squares

The Sum of Squares is a measure of the variation in an experiment. It is given by the formula:

The Sum of Squares is used in ANOVA. Referring to the data set in the One Way ANOVA example:

 1 2 3 4 5 Sum Squares 15% 8.7 9.8 12.2 12.9 9.5 13.31 20% 14.5 17.3 14.9 15.5 12.7 11.09 25% 16.0 13.8 18.3 17.2 18.0 13.39 30% 23.8 21.5 18.3 24.3 22.9 23.15 35% 9.0 14.3 10.0 14.3 7.1 41.97 Total: 102.91

The total is the 'error' because it is the sum of the within-row variations.

 Analysis of Variance (ANOVA) is covered in the MiC Quality online course Advanced Statistics. The use of ANOVA in experimental design is covered in the MiC Quality Design of Experiments course. Try out our courses by taking the first module of the Primer in Statistics free of charge.
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