The Tensile Strength Experiment
An engineer wants to find out if the cotton weight percentage in a synthetic fiber effects the tensile strength. Towards this, the cotton weight percentage is fixed at 5 different levels of 15, 20, 25, 30, and 35. Each level of the percentage is assigned 5 experimental units and the tensile strength is measured on each of them. The randomization is specified in the Run_Number column. The goal of the engineer is to investigate if the tensile strength is same across the cotton weight percentage.
data(tensile)
A data frame with 25 observations on the following 4 variables.
Test_Sequencethe test sequence
Run_Numberthe run number
CWPcotton weight percentage
Tensile_Strengththe tensile strength
Montgomery, D. C. (1976-2012). Design and Analysis of Experiments, 8e. J.Wiley.
data(tensile) tensile$CWP <- as.factor(tensile$CWP) tensile_aov <- aov(Tensile_Strength~CWP, data=tensile) summary(tensile_aov) model.matrix(tensile_aov)
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