One-way between -subjects analysis ANOVA - computations of one-way betweens-s Anova

6 important questions on One-way between -subjects analysis ANOVA - computations of one-way betweens-s Anova

What does SSbetween groups tells us?

How far the values of M1, M2 (group means) and so on are from the grand mean

Which 2 things does a large value of SSbetween groups tell?

- group means are far away from the grand mean
- group means are far away from one another

How to compute SSwithin and what does SS1 tell about the group?

- Find Sum of squares of set of scores within each group
- find group mean
- find deviation by (Y - M1)  M1 stands for mean of group 1
-  square deviations
- sum squared deviations
it tells us about the variation of scores within group 1
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Why can't F be negative?

Because it's a ratio of mean squared and squared values can't be 0 or negative

How do you decide whether F is large enough to be statistically significant?

You need to find a critical value of F from the table. Then find the reject region. For F it's always a one tailed

Which 6 steps are there to calculate ANOVA by hand?

1. Calculate SSbetween, SSwithin and SStotal
2. Find effect size = SSbetween/SStotal
3. Cacualte MSbetween = SSbetween / DF (K-1)
4. Calculate MSwithin = SS within / DF (N-K)
5. Compute F ratio = MSbetween / MSwithin
6. Find critical value of F to make the decision whether to reject or not

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