Turbidity of a toothpaste formulation
Results from an experiment to assess the turbidity of a toothpaste formulation. The three factors that are varied at the NaCl level, the reaction temperature and the addition rate of a particular component.
A data frame with 8 observations on the following 4 variables.
NaCl
NaCl level (2 or 20 ml.)
temp
Reaction temperature (50 or 80 degrees C)
rate
Addition rate (30 or 60 seconds)
turbidity
a numeric vector
Peter R. Nelson, Marie Coffin and Karen A. F. Copeland (2003), Introductory Statistics for Engineering Experimentation, Elsevier. (Appendix A)
str(tpaste) opt <- options(contrasts = c("contr.treatment", "contr.helmert")) summary(fm6 <- lm(turbidity ~ (NaCl + temp + rate)^3, tpaste))$coefficients qqmath(coef(fm6)[-1], xlab = "Standard normal quantiles", ylab = "Estimated coefficients", aspect = 1, type = c("g", "p"), panel = function(...){panel.qqmath(...); panel.qqmathline(...,lty=2,alpha=0.5)}) xyplot(sort(abs(coef(fm6)[-1])) ~ sqrt(qchisq(ppoints(7), df = 1)), xlab = "Quantiles of absolute value of the standard normal", ylab = "Absolute value of estimated coefficients", type = c("g","p")) summary(fm7 <- lm(turbidity ~ NaCl * rate, tpaste)) options(opt)
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