Abstract
A mathematical model of peer-instruction including stochastic uncertainty is presented. By using the master equation describing stochastic transition among different states, a stochastically modified version of Nitta’s peer-instruction model is obtained. It is shown that moment equations with a simple closure reproduce the expectation and the variance obtained by using direct numerical simulations of the resultant model. Such a mathematical model will provide insights to the real data beyond the standard statistical analysis.
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