In the experiment described in Exercise 13, the fish were actually measured every other week, identified by the variable WEEK, having values 0, 2, 4, 6, 8, and 10. For this project, analyze the data from the entire experiment. (The data set is available as datatab_10_prj15 on the text web site.) Analyze each response variable independently using TREAT as a categorical independent variable. Use an appropriate repeated measures analysis allowing for a possible effect of bucket. Use a profile plot to interpret your results.
Exercise 13
An experiment to determine feed efficiency at various feeding levels for the walleye (fish) was conducted in a controlled environment. Five levels (labeled
TREAT with values of 0.25, 0.75, 1.00, 2.00, and 3.00 units) of a major feed component were each randomly assigned to four buckets containing three fish each. There are a total of 20 buckets. After 10 weeks, the following measurements were recorded for each fish:
WEIGHT: weight in grams,
LENGTH: length in millimeters, and
RELWT: relative weight, which is the actual weight divided by a lengthspecific standard weight.
Perform the appropriate analysis of each response variable independently. The data set, consisting of 60 observations, is available as datatab_10_exr13 on the text Web site. Using individual fish measurements makes this a nested design. If all you had was the total weight of the three fish in each bucket, how would you carry out the analysis? Would you get the same result?