Assume that you have a small garden and are interested in knowing whether particular species of tomato plants will yield more tomatoes. You are also interested in knowing if adding fertilizer will increase the growth of tomatoes. You will try three species of tomatoes with and without fertilizer and measure the total weight of the tomatoes produced. Write a brief outline for an experimental design.
a. Identify any extraneous variables that may potentially bias your results. How will these potential biases be addressed?
b. Specify the units and sample size for this study.
c. List each factor-level combination and the order in which things will be tested. Describe how you determined the order of each factor-level combination.
d. List the factors and the corresponding degrees of freedom that will occur in the ANOVA table.