Predictions from a Formal Model

To make predictions of behavior from scalar timing theory, it is necessary to specify not only the transformation rules precisely, but also the procedure. With both the procedure and the model completely and precisely specified, estimates of the parameters from the data, and the fit of the model to the data, may be based on explicit solutions or simulations.

In an explicit solution, predictions of the model are derived from the assumptions of the models (usually, with the addition of some simplifying assumptions or approximations). Explicit solutions of scalar timing theory have been developed for some procedures. These include the temporal bisection procedure (Gibbon, 1981a, 1981b), temporal generalization (Church and Gibbon, 1982; Gibbon and Church, 1984), time-left (Gibbon and Church, 1981; Gibbon et al., 1984), and the peak-interval procedure (Gibbon et al., 1984). The main advantage of these explicit solutions over simulations is that they provide exact results, and the resulting equations may be used to calculate the consequences of any sets of parameters very




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