In a one-way ANOVA, F values increase as: SSBetween becomes greater than SSWithin df approaches zero SSTotal becomes smaller SSWithin becomes greater than SSTotal
Question
In a one-way ANOVA, F values increase as: SSBetween becomes greater than SSWithin df approaches zero SSTotal becomes smaller SSWithin becomes greater than SSTotal
Solution
In a one-way ANOVA, F values increase as SSBetween becomes greater than SSWithin.
Here's why:
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The F statistic in a one-way ANOVA is calculated as the ratio of the variance between the groups (SSBetween) to the variance within the groups (SSWithin).
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If the variance between the groups is larger than the variance within the groups, it suggests that the group means are significantly different from each other.
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Therefore, as SSBetween becomes greater than SSWithin, the F value increases, indicating a more significant result.
The other options are incorrect. The degrees of freedom (df) cannot approach zero in an ANOVA, SSTotal becoming smaller would not necessarily increase the F value, and if SSWithin becomes greater than SSTotal, it would actually decrease the F value.
Similar Questions
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