Question 9.9: The article "Uncertainty in Measurements of Dennal Absorptio...

Principles of Statistics for Engineers and Scientists

The article “Uncertainty in Measurements of Dennal Absorption of Pesticides” (W . Navidi and A. Bunge, Risk Analysis, 2002:11 75-1182) describes an experiment in which a pesticide was applied to skin at various concentrations and for various lengths of time. The outcome is the amount of the pesticide that was absorbed into the skin. The following output (from MINITAB) presents the ANOYA table. ls the additive model plausible? If so, do either the concentration or the duration affect the amount absorbed?

T’wo-way ANOVA: Absorbed versus Concentration. Duration

\begin{array}{lrrrrr}\text{Source}& \text{DF}& \text{SS}& \text{MS}& \text{F}& \text{P}\\\text{Concent}& 2 & 49.991 & 24.996 & 107.99 & 0.000 \\\text{Duration}& 2 & 19.157 & 9.579 & 41.38 & 0.000 \\\text{Interaction}& 4 & 0.337 & 0.084 & 0.36 & 0.832 \\\text{Error}& 27 & 6.250 & 0.231 & & \\\text{Total}& 35 & 75.735 & & &\end{array}

ANOVA table
Source	DF	SS	MS	F	P
Material	1	2352.0	2352.0	10.45	0.012
Design	1	3072.0	3072.0	13.65	0.006
Interaction	1	2700.0	2700.0	12.00	0.009
Error	8	1800.0	225.00
Total	11	9924.0

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