El. Delosh et al., EXTRAPOLATION - THE SINE-QUA-NON FOR ABSTRACTION IN FUNCTION LEARNING, Journal of experimental psychology. Learning, memory, and cognition, 23(4), 1997, pp. 968-986
'Abstraction was investigated by examining extrapolation behavior in a
function-learning task. During training, participants associated stim
ulus and response magnitudes (in the form of horizontal bar lengths) t
hat covaried according to a Linear, exponential, or quadratic function
. After training, novel stimulus magnitudes were presented as tests of
extrapolation and interpolation. Participants extrapolated well beyon
d the range of learned responses, and their responses captured the gen
eral shape of the assigned functions, with some systematic deviations.
Notable individual differences were observed, particularly in the qua
dratic condition. The number of unique stimulus-response pairs given d
uring training (i.e., density) was also manipulated but did not affect
training or transfer performance. Two rule-learning models, an associ
ative-learning model, and a new hybrid model with associative learning
and rule-based responding (extrapolation-association model [EXAM]) we
re evaluated with respect to the transfer data. EXAM best approximated
the overall pattern of extrapolation performance.