Note:
- MS_{Total} is not usually shown in an ANOVA table). I put it in the table here because that is one of the given values (see the notes below) and it makes it easier to see how the rest of the table is completed.
ANOVA Table 2
Source | df | SS | MS | F | p-value |
---|---|---|---|---|---|
Among | 5 | 887.05 | 177.41 | 5.25 | 0.001 |
Within | 48 | 1621.44 | 33.78 | - | - |
Total | 53 | 2508.49 | 47.33 | - | - |
- See completed table above. Note the following
- MS_{total} and MS_{within} are given by definition (the variance of individuals ignoring groups is MS_{total} whereas the pooled (or combined) variance of individuals considering groups is MS_{within}).
- The df are found by knowing the number of groups (I=6) and total number of individuals (n=54).
- SS_{within} and SS_{total} are obtained with MS*df.
- SS_{among} is from SS_{total}-SSwithin.}
- MS_{among} is from SS_{among} divided by df_{among}.
- F is from MS_{among} divided by df_{among}.
- The p-value is computed with
distrib(5.25,distrib="f",df1=5,df2=48,lower.tail=FALSE)
.
- Yes, there is a difference among the group means because the p-value is less than 0.05.