Question

Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table.

Treatment A B C

1 11 10 9

Blocks 2 12 6 6

3 18 16 14

4 21 18 19

5 8 8 9

Use = .05 to test for any significant differences. Show entries to 2 decimals, if necessary. Round p-value to four decimal places. If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value

Answer 1

To test the treatment factor,

P-value = 0.048 < 0.05, so we fail to reject H₀ and we can conclude that there is significant treatment factor present in response variable or we can say that alteast one treatment mean is significantly different.

To test the block factor,

P-value = 0 < 0.05, so we reject H₀ and we can conclude that there is significant block factor present in response variable or we can say that alteast one block mean is significantly different.