Bliss (1935) Beetle Mortality Data
Mortality of adult flour beetle after five hours' exposure to gaseous carbon disulphide.
data("BeetleMortality")
A data frame containing 8 observations on 3 variables.
numeric. \log_{10} dose.
integer. Number killed.
integer. Number exposed.
The data originates from Bliss (1935) and has been reanalyzed frequently.
Bliss CI (1935). “The Calculation of the Dosage-Mortality Curve.” Annals of Applied Biology, 22, 134–167.
Aranda-Ordaz F (1981). “On Two Families of Transformations to Additivity for Binary Response Data.” Biometrika, 68, 357–363.
Hauck W (1990). “Choice of Scale and Asymmetric Logistic Models.” Biometrical Journal, 32, 79–86
Prentice RL (1976). “A Generalization of the Probit and Logit Methods for Dose Response Curves.” Biometrics, 38, 761–768.
Pregibon D (1980). “Goodness of Link Tests for Generalized Linear Models.” Journal of the Royal Statistical Society C, 29, 15–23.
## data data("BeetleMortality", package = "glmx") ## various standard binary response models m <- lapply(c("logit", "probit", "cloglog"), function(type) glm(cbind(died, n - died) ~ dose, data = BeetleMortality, family = binomial(link = type))) ## visualization plot(I(died/n) ~ dose, data = BeetleMortality) lines(fitted(m[[1]]) ~ dose, data = BeetleMortality, col = 2) lines(fitted(m[[2]]) ~ dose, data = BeetleMortality, col = 3) lines(fitted(m[[3]]) ~ dose, data = BeetleMortality, col = 4)
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