1. An experiment was installed to test 4 rates of Zn on cabbage. The experiment was laid out in a randomized complete block design with 3 replicates. The yields are given in the table below. Treatment kg Zn/ha Block I II III 0 3.5 3.8 3.7 5 3.9 4.2 4.4 10 4 4.4 4.8 15 4.3 4.2 4.9 a) Calculate the analysis of variance manually for this data set and perform the appropriate F tests. State the relevant hypotheses in terms of the parameters under test. Show all solutions. Interpret the results of the tests in the context of the problem. b) Plot the treatment means with treatments at the x-axis. Describe the relationship. c) Calculate the relative efficiency of the RCBD over CRD. Interpret the results. How many replications should a CRD experiment have to be as efficient as the RCBD experiment? d) Construct a hypothetical layout indicating directions of gradient(s) if there are any
1. An experiment was installed to test 4 rates of Zn on cabbage. The experiment was laid out in a
randomized complete block design with 3 replicates. The yields are given in the table below.
Treatment kg Zn/ha Block
I II III
0 3.5 3.8 3.7
5 3.9 4.2 4.4
10 4 4.4 4.8
15 4.3 4.2 4.9
a) Calculate the analysis of variance manually for this data set and perform the appropriate F
tests. State the relevant hypotheses in terms of the parameters under test. Show all
solutions. Interpret the results of the tests in the context of the problem.
b) Plot the treatment means with treatments at the x-axis. Describe the relationship.
c) Calculate the relative efficiency of the RCBD over CRD. Interpret the results. How many
replications should a CRD experiment have to be as efficient as the RCBD experiment?
d) Construct a hypothetical layout indicating directions of gradient(s) if there are any.
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