lab6soln - S TAT 8 200 - Design o f E xperiments f or R...

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I T1 T4 36.0,37.8 37.0,38.5 T5 T2 35.9,36.0 34.9,34.3 T6 T3 37.7,37.2 34.5,34.1 STAT 8200 - Design of Experiments for Research Workers Lab 6 - &e: Th'M)"s~-4 so/v-hof"\ Example: Suppose that in the redwing flaxseed example, the experiment was conducted in the same way as described in lecture, with the exception that in each of the six plots per block, two samples of flaxseed were taken and the percent oil content was measured on each sample. That is, the design and data are as follows: 36.4,37.4 36.8,36.1 36.3,37.4 34.4,36.2 34.4,34.5 33.3,33.0 37.3,37.3 36.6,35.6 34.0,34.5 34.9,33.8 35.9,35.9 31.9,30.8 Block 1 Block 2 36.4,36.1 37.1,35.6 36.7,36.4 37.1,36.7 33.1,32.2 34.1,36.0 Block 3 Block 4 In this example, we have 2 pseudo-replicates in each of the 24 plots. There are two ways to analyze such data. The methods are equivalent for inference on the block and treatment effects and means. However, in the first method we do not bother to quantify variability due to pseudo-replicates (which is different from error variability) and in the second method we do quantify this pseudo-replicate variability. Copy the file from the public directory to your home directory, run it, and examine the output. Method 1: Since the experimental unit is the plot, we have 2 measurements per exper- imental unit. We can collapse the two measurements on each plot to one by taking their
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lab6soln - S TAT 8 200 - Design o f E xperiments f or R...

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