High School

A one-factor ANOVA for independent samples produced [tex]SSTotal = 90[/tex] and [tex]SSWithin = 60[/tex]. For this analysis, what is [tex]SSBetween[/tex]?

A. 150
B. 90
C. 65
D. 30
E. 28
F. None of the above

Answer :

Final answer:

In a one-factor ANOVA, SSBetween is calculated by subtracting the sum of squares within groups (SSWithin) from the total sum of squares (SSTotal). In this case, SSBetween equals 90 (SSTotal) minus 60 (SSWithin), which equals 30.

Explanation:

In the context of a One-way ANOVA (Analysis of Variance), the total sum of squares (SSTotal) can be divided into the sum of squares between groups (SSBetween) and the sum of squares within groups (SSWithin).

In your given scenario, you have SSTotal = 90 and SSWithin = 60. The calculation to find SSBetween is simply: SSBetween = SSTotal - SSWithin.

So, let's perform this calculation: SSBetween = 90 - 60 = 30.

Therefore, based on the data you've provided, the SSBetween for this data set is 30.

Learn more about One-way ANOVA here:

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