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Rule following and rule use in the balance-scale task
Authors:Shultz Thomas R  Takane Yoshio
Affiliation:Department of Psychology, McGill University, Canada. thomas.shultz@mcgill.ca
Abstract:Quinlan et al. [Quinlan, p., van der Mass, H., Jansen, B., Booij, O., & Rendell, M. (this issue). Re-thinking stages of cognitive development: An appraisal of connectionist models of the balance scale task. Cognition, doi:10.1016/j.cognition.2006.02.004] use Latent Class Analysis (LCA) to criticize a connectionist model of development on the balance-scale task, arguing that LCA shows that this model fails to capture a torque rule and exhibits rules that children do not. In this rejoinder we focus on the latter problem, noting the tendency of LCA to find small, unreliable, and difficult-to-interpret classes. This tendency is documented in network and synthetic simulations and in psychological research, and statistical reasons for finding such unreliable classes are discussed. We recommend that LCA should be used with care, and argue that its small and unreliable classes should be discounted. Further, we note that a preoccupation with diagnosing rules ignores important phenomena that rules do not account for. Finally, we conjecture that simple extensions of the network model should be able to achieve torque-rule performance.
Keywords:Connectionism   Rule learning   Balance scale   Latent class analysis   Rule-assessment method   Torque rule   Addition rule   Goodness-of-fit tests   Local independence assumption   Boundary estimates
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