2 An experiment is conducted to investigate the amount per i

2. An experiment is conducted to investigate the amount (per inch in DBH) of a particular fertilizer that should be used to feed sugar maples. The amounts 2; 4, 6, and 8 lbs. per inch in DBH are compared blocking by the size of the tree (3, 6, 9, 12, 15, and 18 inches in DBH) and using four replications with the following measurements of increased growth rate. a) Write the model for this experiment b) Compute the ANOVA table. What conclusions (be careful) would you make about fertilizer amounts, blocks, and interactions? Use a .05 level of significance.

Solution

Here there are 6 groups to be compared 3,6,9,12,15,18

The rowwise groups are 2,4,6,8

H0: All groups are equal

Ha: atlleast two groups are different

Prepare anova table.

For that first find mean of all groups

As p >0.05 accept that all samples are equal