Optimal designs maximize the experimental efficiency and precision, but are sometimes difficult to obtain, especially in cases with non-trivial underlying model functions. A possible application area providing the motivating example is toxicology. Liver carcinoma cells are modelled as a function of valproic acid (VPA) concentration using the common four-parameter log-logistic (4PLL) model. To...
The concept of interim analysis and adaption is more and more used in clinical trials. Furthermore, one often has several endpoints such as progression-free survival (PFS) and overall survival (OS) which is discussed in the current paper of Danzer et al. (2022). There, testing hypotheses with adaptive group sequential one-sample tests for the distribution of PFS and OS is developed. The...
In the era of precision medicine with increasing molecular information, the use of a multi-state model is required to capture the individual disease pathway along with underlying etiologies with greater precision. Especially the availability of big data with numerous covariates induces several statistical challenges for model building. For multi-state models based on high-dimensional data,...
