In a one-factor ANOVA analysis,the among sum of squares and within sum of squares must add up to the total sum of squares.

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This is a fundamental property of the ANOVA analysis. The total sum of squares represents the total variation in the data, which can be partitioned into the variation between groups (represented by the among sum of squares) and the variation within groups (represented by the within sum of squares). Therefore, the among sum of squares and within sum of squares must add up to the total sum of squares.

In a One-Factor ANOVA Analysis,the Among Sum of Squares and Within