In: Statistics and Probability
Use R programming language to answer and please so show the code as well.
A paper manufacturer studied the effect of three vat pressures
on the strength
of one of its products. Three batches of cellulose were selected at
random
from the inventory. The company made two production runs for each
pressure
setting from each batch. As a result, each batch produced a total
of six production
runs. The data follow. Perform the appropriate analysis.
Table is below
Batch Pressure Strength
A 400 198.4
A 400 198.6
A 500 199.6
A 500 200.4
A 600 200.6
A 600 200.9
B 400 197.5
B 400 198.1
B 500 198.7
B 500 198.0
B 600 199.6
B 600 199.0
C 400 197.6
C 400 198.4
C 500 197.0
C 500 197.8
C 600 198.5
C 600 199.8
as to compare the pressure wats the anova is used .From the results of anova p value for batch and pressure are less than 0.05 .hence Batch and Pressure both difer significantly ..
For pairwise comparisons tukeys test is used