Which of the following is calculated in the same manner across all types of ANOVAs? MSwithin SSparticipants SSwithin MStotal
Question
Which of the following is calculated in the same manner across all types of ANOVAs?
- MSwithin
- SSparticipants
- SSwithin
- MStotal
Solution
To determine which of the options is calculated in the same manner across all types of ANOVAs, let's break down the options provided:
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MSwithin: This stands for "Mean Square Within" and is calculated by dividing the SSwithin (Sum of Squares Within) by its degrees of freedom. It is used in all types of ANOVAs, but the specific calculation of SSwithin can vary depending on the design.
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SSparticipants: This represents the Sum of Squares for participants. Its calculation can vary considerably depending on the type of ANOVA, especially between independent measures and repeated measures designs.
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SSwithin: This is the Sum of Squares Within and is related to the variability within groups. Its calculation can differ based on the ANOVA type, particularly in how groups are structured.
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MStotal: This represents the total Mean Square and is calculated as the total Sum of Squares (including both SSbetween and SSwithin) divided by the total degrees of freedom. This calculation is consistent across all types of ANOVAs.
Conclusion
Given this breakdown, MStotal is calculated in the same manner across all types of ANOVAs.
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