Bootstrap calibration grounds on a simple idea: Based on a bootstrap sample, one can compute the bootstrap coverage probability of the desired interval. Then, one can alternate the intervals limits until the bootstrap coverage probability approaches the nominal level, e.g. by alternating the α-level used for interval calculation. Finally, the desired interval is calculated replacing the...
Multiple-use prediction and calibration for all future values play a valuable role in many areas including health and medical research. Simultaneous tolerance bands (STBs) can be used for these purposes. Motivated by real-world problems in health research, this study focuses on the construction of exact STBs for multiple regression over any given rectangular covariate region and for polynomial...
Background: The stability of a drug product over time is a critical property in pharmaceutical development. A key objective in drug stability studies is to estimate the shelf-life of a drug, involving a suitable definition of the true shelf-life and the construction of an appropriate estimate of the true shelf-life. Simultaneous confidence bands (SCBs) for percentiles in linear regression are...
In toxicology, concentration-response experiments are conducted to investigate the toxic behaviour of a given substance. Typically, a parametric model is fitted and effective concentrations to a viability level p (EC_p) are estimated which are used e.g. in further experiments. However, in previous research, it was observed that the estimated EC_p of the same experiment conducted in the same...
Linear hypotheses Hp = y regarding a parameter vector p arise in a wide range of scientific fields, including life sciences, psychology, economics, environmental sciences, and other areas of applied statistics, due to their ability to encode a wide variety of scientific questions using a simple algebraic framework. The unknown parameter vector p can represent, for example, an expectation...
