An experiment was conducted to compare the accuracy of two mass ectometers in measuring the ratio of 14N to 15N. Two soil samples were taken om each of three plots of land treated with 15N. Two sub-samples of each mple were analyzed on each of the two machines. The resulting design has achines crossed with Plots (each machine was measured on both soil samples). owever the soil Samples are nested within Plot (soil samples are specific to a

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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From the above design, identify the factors and indicate whether they are fixed or random effects
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:
Plot
1
2
3
Sample
Sample
Sample
1
1
3.729
3.768
Machine
3.833
3.819
3.756
3.882
3.720
3.866
3.853
3.757
3.871
3.720
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: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: Plot 1 2 3 Sample Sample Sample 1 1 3.729 3.768 Machine 3.833 3.819 3.756 3.882 3.720 3.866 3.853 3.757 3.871 3.720 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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