Abstract
This paper uses log-linear models with latent variables (Hagenaars, in Loglinear Models with Latent Variables, 1993) to define a family of cognitive diagnosis models. In doing so, the relationship between many common models is explicitly defined and discussed. In addition, because the log-linear model with latent variables is a general model for cognitive diagnosis, new alternatives to modeling the functional relationship between attribute mastery and the probability of a correct response are discussed.
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Henson, R.A., Templin, J.L. & Willse, J.T. Defining a Family of Cognitive Diagnosis Models Using Log-Linear Models with Latent Variables. Psychometrika 74, 191–210 (2009). https://doi.org/10.1007/s11336-008-9089-5
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DOI: https://doi.org/10.1007/s11336-008-9089-5