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The Theoretical and Statistical Ising Model: A Practical Guide in R

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Department of Psychology, University of Amsterdam, 1105 Amsterdam, The Netherlands
2
Center for Urban Mental Health, University of Amsterdam, 1105 Amsterdam, The Netherlands
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Author to whom correspondence should be addressed.
Academic Editor: Alexander Robitzsch
Psych 2021, 3(4), 593-617; https://doi.org/10.3390/psych3040039
Received: 12 August 2021 / Revised: 23 September 2021 / Accepted: 24 September 2021 / Published: 8 October 2021
The “Ising model” refers to both the statistical and the theoretical use of the same equation. In this article, we introduce both uses and contrast their differences. We accompany the conceptual introduction with a survey of Ising-related software packages in R. Since the model’s different uses are best understood through simulations, we make this process easily accessible with fully reproducible examples. Using simulations, we show how the theoretical Ising model captures local-alignment dynamics. Subsequently, we present it statistically as a likelihood function for estimating empirical network models from binary data. In this process, we give recommendations on when to use traditional frequentist estimators as well as novel Bayesian options. View Full-Text
Keywords: ising model; alignment; dynamics; binary; networks; computational; estimation; Bayesian; frequentist ising model; alignment; dynamics; binary; networks; computational; estimation; Bayesian; frequentist
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MDPI and ACS Style

Finnemann, A.; Borsboom, D.; Epskamp, S.; van der Maas, H.L.J. The Theoretical and Statistical Ising Model: A Practical Guide in R. Psych 2021, 3, 593-617. https://doi.org/10.3390/psych3040039

AMA Style

Finnemann A, Borsboom D, Epskamp S, van der Maas HLJ. The Theoretical and Statistical Ising Model: A Practical Guide in R. Psych. 2021; 3(4):593-617. https://doi.org/10.3390/psych3040039

Chicago/Turabian Style

Finnemann, Adam, Denny Borsboom, Sacha Epskamp, and Han L.J. van der Maas. 2021. "The Theoretical and Statistical Ising Model: A Practical Guide in R" Psych 3, no. 4: 593-617. https://doi.org/10.3390/psych3040039

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