[R] Hysteresis modeling and simulation
yvonnick.noel at uhb.fr
Mon Sep 5 09:25:32 CEST 2011
I once modelled a hysteresis phenomenon (on binary data) with a simple
logistic model. I am not sure I understand how this pattern appears in
your data, but in my previous analyses, it appeared as an order effect:
The response increased in probability later with increasing than with
decreasing values of the predictor.
I then simply created a binary variable for the decreasing and
increasing conditions, and the coefficient on this variable was a direct
and testable measure of hysteresis.
In some cases, you can directly model the bimodal conditional
distribution of the response. This is what I did here with a beta
distribution for continuous bounded responses:
University of Brittany, Rennes 2
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