An experiment was conducted in a completely randomized design to study the effect of insecticides on the control of hornworm infestations on a crop plant. The insecticide types were four sources of bacillus and two types of chemicals. The experimenter would like the results to hold over 4 types of fertilizer. The number of worms present was counted before and after treatment. Assume that the experimenter is really interested making comparisons among the bacillus, among the chemicals, but not across the two. The results of the experiment are as follows.
Fertilizer | ||||||||
1 | 2 | 3 | 4 | |||||
Insecticide | Before | After | Before | After | Before | After | Before | After |
Bacillus 1 | 15 | 17 | 25 | 26 | 18 | 21 | 23 | 26 |
Bacillus 2 | 19 | 18 | 21 | 22 | 20 | 19 | 19 | 20 |
Bacillus 3 | 19 | 19 | 19 | 21 | 21 | 23 | 25 | 22 |
Bacillus 4 | 22 | 14 | 31 | 26 | 17 | 17 | 19 | 19 |
Chemical 1 | 17 | 5 | 22 | 6 | 26 | 13 | 18 | 10 |
Chemical 2 | 22 | 25 | 14 | 19 | 22 | 26 | 23 | 27 |
1. (5) Do a preliminary analysis
2. (10) Analyze the data using a=0.05 and make sure that your model is adequate
3. (5) Do any post hoc analysis that you deem necessary
4. (5) Report your findings
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