An experiment was conducted to compare the accuracy of two mass spectometers in measuring the ratio of 14N to 15N. Two soil samples were taken from each of three plots of land treated with 15N. Two sub-samples of each sample were analyzed on each of the two machines. The resulting design has Machines crossed with Plots (each machine was measured on both soil samples). However, the soil Samples are nested within Plot (soil samples are specific to a particular plot). In addition, the Sub-samples (replicates) are nested within the Samples. The respon

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14. An experiment was conducted to compare the accuracy of two mass spectometers in measuring the ratio of 14N to 15N. Two soil samples were taken from each of three plots of land treated with 15N. Two sub-samples of each sample were analyzed on each of the two machines. The resulting design has Machines crossed with Plots (each machine was measured on both soil samples). However, the soil Samples are nested within Plot (soil samples are specific to a particular plot). In addition, the Sub-samples (replicates) are nested within the Samples. The response measured for this experiment is the ratio of 14N to 15N (after multiplying by 1,000). The data for this experiment are shown in the following table:

 

From the above design, identify the factors and indicate whether they are fixed or random effects .

 

 

 

 

 

Plot
1
Sample
Sample
Sample
1
2
1
1
Machine
3.833
3.819
3.756
3.882
3.720
3.729
A
3.866
3.853
3.757
3.871
3.720
3.768
Machine
3.932
3.884
3.832
3.917
3.776
3.833
3.943
3.888
3.829
3.915
3.777
3.827
Transcribed Image Text:Plot 1 Sample Sample Sample 1 2 1 1 Machine 3.833 3.819 3.756 3.882 3.720 3.729 A 3.866 3.853 3.757 3.871 3.720 3.768 Machine 3.932 3.884 3.832 3.917 3.776 3.833 3.943 3.888 3.829 3.915 3.777 3.827
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