Cell Survival data
Data on cell survival under different radiation doses.
data(cell)
A data frame with 14 observations on the following 2 variables.
a numeric vector, unit rads/100
a numeric vector, (natural) logarithm of proportion
There are regression situations where the covariates are more naturally considered fixed rather than random. This cell survival data are an example. A radiologist has run an experiment involving 14 bacterial plates. The plates where exposed to different doses of radiation, and the proportion of surviving cells measured. Greater doses lead to smaller survival proportions, as would be expected. The investigator expressed some doubt as to the validity of observation 13.
So there is some interest as to the influence of observation 13 on the conclusions.
Two different theoretical models as to radiation damage were available, one predicting a linear regresion,
{mu_i = E(y_i | z_i) = beta_1 z_i}
and the other predicting a quadratic regression,
{mu_i = E(y_i | z_i) = beta_1 z_i + beta_2 z_i^2}
Hypothesis tests on beta_2 is of interest.
Efron, B. and Tibshirani, R. (1993) An Introduction to the Bootstrap. Chapman and Hall, New York, London.
plot(cell[,2:1],pch=c(rep(1,12),17,1),
col=c(rep("black",12),"red", "black"),
cex=c(rep(1,12), 2, 1))Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.