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Statistics 601, Fall 2005
Lab 1 Notes
This lab concerns the analysis of a nutrient enrichment experiment conducted in
Sinagarind Reservoir in Thailand that also constitutes Example 4.3 in the lecture
notes. The data are contained in the table on page 99 of the notes. This data set is
small enough in size to be entered by hand.
The design of the experiment will be explained in lab. The treatments of concern
are C: control, P: phosphorus, N: nitrogen, and NP: both nitrogen and phosphorus.
Recall from lecture that the test statistic
T =
k
X
i=1
P
ni
j=1
yi,j
2
ni
is rank equivalent to the usual F-statistic used in one-way ANOVA.
Statistics 601, Fall 2005
Lab 1 Assignment
1. Using the data set on page 99 of the lecture notes with four treatment groups
(C, P, N, NP) conduct a randomization test with random selection of possible
permutations. Conduct a test for overall (i.e., any) treatment effects.
2. Investigate the number of randomly selected permutations on this test procedure.
3. What would you conclude about the problem involved in this example (i.e.,
what, if any, nutrient controls algal growth in this reservior?).