In Design and Analysis of Experiments, 5th edition (John Wiley & Sons, 2001), D. C. Montgomery describes an experiment that determined the effect of four different types of tips in a hardness tester...

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In Design and Analysis of Experiments, 5th edition (John Wiley & Sons, 2001), D. C. Montgomery describes an experiment that determined the effect of four different types of tips in a hardness tester on the observed hardness of a metal alloy. Four specimens of the alloy were obtained, and each tip was tested once on each specimen, producing the following data:

(a) Is there any difference in hardness measurements between the tips?

b) Use Fisher’s LSD method to investigate specific differences between the tips.
(c) Analyze the residuals from this experiment.





Answered Same DayDec 24, 2021

Answer To: In Design and Analysis of Experiments, 5th edition (John Wiley & Sons, 2001), D. C. Montgomery...

Robert answered on Dec 24 2021
112 Votes
From the residual plot of response the two assumptionsindependence and normality assumptions are
seem to besatisfied.
From the above residual plots, we can analyze that there isnot much difference between the four types of
specimen ofalloys.
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