[R] Hysteresis modeling and simulation

Yvonnick Noel yvonnick.noel at uhb.fr
Mon Sep 5 09:25:32 CEST 2011

Hi Bill,

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:




Yvonnick Noel
University of Brittany, Rennes 2

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