The time it takes to read or produce a word is influenced by the word's age
of acquisition (AoA) and its frequency (e.g. Quarterly Journal of Experime
ntal Psychology 12 (1973) 85). Lewis (Cognition 71 (1999) B23) suggested th
at a parsimonious explanation would he that it is the total number of times
a word has been encountered that predicts reaction times. Such a cumulativ
e-frequency hypothesis. however, has always been rejected because the stati
stical effects of AoA and frequency are additive. Here, it is demonstrated
mathematically that the cumulative-frequency hypothesis actually predicts s
uch results when applied to curvilinear learning. Further, the data from fo
ur influential studies (two of which claim support for independent effects
of AoA and frequency) are re-analyzed to reveal that, in fact, they are con
sistent with a cumulative-frequency hypothesis. The conclusion drawn is tha
t there is no evidence with which to refute the most parsimonious of explan
ations, i.e, cumulative frequency can account for both frequency and AoA ef
fects. (C) 2001 Elsevier Science B.V. All rights reserved.