Detecting phase transitions in small group conversations through entropy methods
Entropy methods (also known as mutual information methods) are often used to analyze time series categorical data, such as results from qualitative coding of small group discussions. A maximum in the calculated entropy is indicative of a phase transition. This paper presents a Bayesian-inspired method to distinguish between random fluctuations that result in a local maximum value of entropy and a maximum value of entropy that indicates a transition in the system. Using probabilities derived from the data on one side of the local maximum as a prior and the probabilities derived from the data on the other side as a likelihood, posteriors are calculated. Through bootstrapping and chi-squared tests, significant differences between priors and posteriors can be determined. Applications to real world data include the ability to detect phase changes in group interactions.
Lentine, Jennifer and Ricca, Bernard P., "Detecting phase transitions in small group conversations through entropy methods" (2018). Mathematical and Computing Sciences Faculty/Staff Publications. Paper 21.
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