Abstract
Understanding discontinuities helps to better comprehend biological systems. Catastrophe theory deals with discontinuities and provides a way of modelling them, but the mathematical steps used to do so are often out of reach for many biologists. To solve this problem, graphs and nonlinear regression steps are proposed for the cusp catastrophe. A special F statistic is used to test if the cusp model fits the data better than a plane model would. Made-up data are used to demonstrate how to use the proposed procedure. The last part of the paper is concerned with the design of sampling programs adapted to cusp catastrophe modelling; a two-step procedure is recommended, when feasible. An Appendix contains a short reminder on catastrophe theory, with emphasis on the cusp catastrophe.
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