A Tutorial on Joint Modeling

  • Brandon M. Turner
  • Birte U. Forstmann
  • Mark Steyvers
Part of the Computational Approaches to Cognition and Perception book series (CACP)


In this chapter, we provide a brief tutorial on joint modeling by using one simplified model as a running example. The chapter is split into three sections. In the first section, we describe the full generative model and explain how it can be used to produce hypothetical data by adjusting the model parameters. In the second section, we describe how to perform inference on data by estimating the model parameters. To facilitate the inference procedure, we provide code to run within the Just Another Gibbs Sampler (JAGS) [50] software. In the final section, we consider alternative parameterizations, covariates, and other models.


Tutorial Bayesian estimation Generative model 


  1. 2.
    D.Y. Teller, Vis. Res. 24, 1233 (1984)CrossRefGoogle Scholar
  2. 3.
    J.D. Schall, Annu. Rev. Psychol. 55, 23 (2004)CrossRefGoogle Scholar
  3. 12.
    B.M. Turner, B.U. Forstmann, E.J. Wagenmakers, S.D. Brown, P.B. Sederberg, M. Steyvers, NeuroImage 72, 193 (2013)CrossRefGoogle Scholar
  4. 18.
    B.M. Turner, L. Van Maanen, B.U. Forstmann, Psychol. Rev. 122, 312 (2015)CrossRefGoogle Scholar
  5. 36.
    S. Brown, A. Heathcote, Cogn. Psychol. 57, 153 (2008)CrossRefGoogle Scholar
  6. 37.
    R. Ratcliff, Psychol. Rev. 85, 59 (1978)CrossRefGoogle Scholar
  7. 46.
    B.M. Turner, C.A. Rodriguez, T. Norcia, M. Steyvers, S.M. McClure, NeuroImage 128, 96 (2016)CrossRefGoogle Scholar
  8. 50.
    M. Plummer, in Proceedings of the 3rd international Workshop on Distributed Statistical Computing, Vienna (2003)Google Scholar
  9. 51.
    C. Ranganath, A.P. Yonelinas, M.X. Cohen, C.J. Dy, S.M. Tom, M. D’Esposito, Neuropsychologia 42, 2 (2004)CrossRefGoogle Scholar
  10. 52.
    L.L. Eldridge, B.J. Knowlton, C.S. Furmanski, S.Y. Bookheimer, S.A. Engel, Nat. Neurosci. 3, 1149 (2000)CrossRefGoogle Scholar
  11. 53.
    R.M. Shiffrin, M. Steyvers, Psychon. Bull. Rev. 4, 145 (1997)CrossRefGoogle Scholar
  12. 55.
    A.F. Osth, S. Dennis, Psychol. Rev. 122, 260 (2015)CrossRefGoogle Scholar
  13. 56.
    W.H. Batchelder, D.M. Riefer, Psychon. Bull. Rev. 6, 57 (1999)CrossRefGoogle Scholar
  14. 57.
    B.M. Turner, B.U. Forstmann, B.C. Love, T.J. Palmeri, L. Van Maanen, J. Math. Psychol. 76, 65 (2017)CrossRefGoogle Scholar
  15. 58.
    R.A. Johnson, D.W. Wichern, Applied Multivariate Statistical Analysis (Pearson Prentice Hall, Upper Saddle River, 2007)Google Scholar
  16. 59.
    J.A. Rice, Mathematical Statistics and Data Analysis (Duxbury Press, Belmont, 2007)Google Scholar
  17. 60.
    A. Heathcote, S.D. Brown, E.J. Wagemakers, in An Introduction to Model-Based Cognitive Neuroscience, ed. by B.U. Forstmann, E.J. Wagenmakers (Springer, New York, 2015), pp. 25–48Google Scholar
  18. 61.
    M.D. Lee, W. Vanpaemel, Cogn. Sci. 32, 1403 (2008)CrossRefGoogle Scholar
  19. 65.
    M.D. Lee, E.J. Wagenmakers, Bayesian Modeling for Cognitive Science: A Practical Course (Cambridge University Press, Cambridge, 2013)CrossRefGoogle Scholar
  20. 66.
    C.J.F. ter Braak, Stat. Comput. 16, 239 (2006)CrossRefGoogle Scholar
  21. 67.
    B.M. Turner, P.B. Sederberg, S.D. Brown, M. Steyvers, Psychol. Methods 18, 368 (2013)CrossRefGoogle Scholar
  22. 68.
    B.M. Turner, T. Wang, E. Merkel, NeuroImage 153, 28 (2017)CrossRefGoogle Scholar
  23. 69.
    D. Wabersich, J. Vandekerckhove, Behav. Res. Methods 46, 15 (2014)CrossRefGoogle Scholar
  24. 70.
    J.J. Palestro, G. Bahg, P.B. Sederberg, Z.L. Lu, M. Steyvers, B.M. Turner, J. Math. Psychol. 84, 20 (2018)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Brandon M. Turner
    • 1
  • Birte U. Forstmann
    • 2
  • Mark Steyvers
    • 3
  1. 1.Department of PsychologyThe Ohio State UniversityColumbusUSA
  2. 2.Cognitive Science CenterUniversity of AmsterdamAmsterdamThe Netherlands
  3. 3.Department of Cognitive SciencesUniversity of California, IrvineIrvineUSA

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