We review approaches to dose-response modeling and risk assessment for
binary data from developmental toxicity studies. In particular, we fo
cus on jointly modeling fetal death and malformation and use a continu
ation ratio formulation of the multinomial distribution to provide a m
odel for risk. Generalized estimating equations are used to account fo
r clustering of animals within litters. The fitted model is then used
to calculate doses corresponding to a specified level of excess risk.
Two methods of arriving at a lower confidence limit or Benchmark dose
are illustrated and compared. We also discuss models based on single b
inary end points and compare our approach to a binary analysis of whet
her or not the animal was 'affected' (either dead or malformed). The m
odels are illustrated using data from four developmental toxicity stud
ies in EG, DEHP, TGDM, and DYME conducted through the National Toxicol
ogy Program.