Consider the following output below. Randomized Block ANOVA; y versus Factor, Bl

Question

Consider the following output below. Randomized Block ANOVA; y versus Factor, Block Source Factor Block Error Total MS 63.4401 df 126.88 54.825 6 198.147 1. How many levels of the factor were used in this experiment? 2. How many block were used? 3. Fill in the missing information (1) through (9) 4. Test the effect of factor on response variable at the significance level -005. Explain your conclusion. 5. Test the effect of block on response variable at the significance level = 0.05. Explain your conclusion

Explanation / Answer

1) df for factor =SS/MS =126.88/63.4401 =2

therefore number of level for factor =2+1 =3

2) df for blocks =11-6-2=3

therefore level for blocks =3+1=4

3)

from above below is ANOVA table:

4) as p value for factor is less then 0.05 level; therefore factor has significant effect on response variable

5) as p value for block is less then 0.05 level; therefore block has significant effect on response variable

please revert for any clarificaiton required

source df SS MS F P factor 2 126.88 63.4401 23.1505 0.0015 block 3 54.825 18.275 6.6689 0.0244 error 6 16.442 2.7403 total 11 198.147

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