Abstract

This paper provides an exact method to construct simultaneous confidence bands for all contrasts of several regression lines over a restricted explanatory variable. Due to the lack of exact methods in the literature, currently existing approaches consist mainly of simulation based approaches. Using confidence bands for regression analysis occurs ubiquitously in practice, for example, inference on the shelf-life or stability of a drug, on the reliability of an engineering system over time, on the environmental impact of a fertilizer in a field over time, to list just a few. The new method enhances currently existing approaches that are based on simulations.

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