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THEORETICAL NOTE
Serial Order Depends on Item-Dependent and Item-Independent Contexts
Gordon D. Logan
1
and Gregory E. Cox
2
1
Department of Psychology, Vanderbilt University
2
Department of Psychology, University at Albany, State University of New York
We address four issues in response to Osth and Hurlstone’s (2022) commentary on the context retrieval and
updating (CRU) theory of serial order (Logan, 2021). First, we clarify the relations between CRU, chains,
and associations. We show that CRU is not equivalent to a chaining theory and uses similarity rather than
association to retrieve contexts. Second, we fix an error Logan (2021) made in accounting for the tendency
to recall ACB instead of ACD in recalling ABCDEF (fill-in vs. in-fill errors, respectively). When
implemented correctly, the idea that subjects mix the current context with an initial list cue after the first
order error correctly predicts that fill-in errors are more frequent than in-fill errors. Third, we address
position-specific prior-list intrusions, suggesting modifications to CRU and introducing a position-coding
model based on CRU representations to account for them. We suggest that position-specific prior-list
intrusions are evidence for position coding on some proportion of the trials but are not evidence against item
coding on other trials. Finally, we address position-specific between-group intrusions in structured lists,
agreeing with Osth and Hurlstone that reasonable modifications to CRU cannot account for them. We
suggest that such intrusions support position coding on some proportion of the trials but do not rule out
CRU-like item-based codes. We conclude by suggesting that item-independent and item-dependent coding
are alternative strategies for serial recall and we stress the importance of accounting for immediate
performance.
Keywords: serial order, context retrieval, chaining, error ratio, prior-list intrusions
Supplemental materials: https://doi.org/10.1037/rev0000422.supp
Serial order is one of the most fundamental problemsin psychology
andneuroscience(Lashley, 1951). It challenges our ability to perceive
structure in the world, to act coherently in sequential tasks, and to
remember the order of our experiences (Logan, 2021). We solve these
practical problems routinely in daily life but despite a century and
a half of research on serial order (Ebbinghaus, 1885;Ladd &
Woodworth, 1911;Nipher, 1878), there is no theoretical consensus
on how we solve them. In the last 30 years, research on serial order in
memory has focused primarily on serial recall tasks, like the memory
span task (for comprehensive reviews, see Hurlstone et al., 2014;
Lewandowsky & Farrell, 2008). Early theories based on simple
chains of associations between successive items (Lewandowsky &
Li, 1994;Lewandowsky & Murdock, 1989;Murdock, 1982,1993,
1995;Shiffrin & Cook, 1978) were challenged by Henson et al.
(1996), who showed that chaining theories cannot recover from
errors, respond appropriately to manipulations of phonological
similarity, produce transpositions to earlier list positions, or pro-
duce position-specific intrusions from previous lists or from
different groups in the same list. As a result, theories that assume
serial order is based on associations between items and position
codes—contexts that are independent of the items—have come to
dominate the field (Anderson & Matessa, 1997;Brown et al., 2000,
2007;Burgess & Hitch, 1999;Farrell, 2006;Hartley et al., 2016;
Henson, 1998;Lewandowsky & Farrell, 2008;Oberauer et al., 2012).
Recently, Logan and colleagues proposed a context retrieval and
updating (CRU) model of serial-order tasks, including serial recall,
that does not assume position codes (Logan, 2018,2021;Logan &
Cox, 2021;Logan et al., 2021). Instead, it assumes that serial order is
represented by associating items with contexts that are built from
fading traces of earlier items, inspired by Howard and Kahana’s
(2002) temporal context model (TCM) of free recall and its des-
cendants (Lohnas et al., 2015;Polyn et al., 2009;Sederberg et al.,
2008). Logan (2021) applied CRU to serial recall, whole-report, and
copy-typing tasks, showing that it accounts for several phenomena
in these tasks, including list-length effects, serial position curves,
transposition gradients, lag conditional recall probabilities, distribu-
tions of errors, recovery from errors, and the effects of repeating
items in a single list. Logan (2021) found that CRU does not predict
This document is copyrighted by the American Psychological Association or one of its allied publishers.
This article is intended solely for the personal use of the individual user and is not to be disseminated broadly.
This article was published Online First March 9, 2023.
Gordon D. Logan https://orcid.org/0000-0002-8301-7726
This research was funded by National Science Foundation Grant BCS
2147017 to Gordon D. Logan.
Data and code for fits and simulations are available on the Open Science
Framework at https://osf.io/3kr5d/. The study was not preregistered; no new
data were collected.
Correspondence concerning this article should be addressed to Gordon
D. Logan, Department of Psychology, Vanderbilt University, Nashville, TN
37204, United States or Gregory E. Cox, Departme nt of Psychology, University
at Albany, State University of New York, 1400 Washington Avenue,
Albany, NY 12222, United States. Email: gordon.logan@vanderbilt.edu
or gregcox7@gmail.com
Psychological Review
© 2023 American Psychological Association 2023, Vol. 130, No. 6, 1672–1687
ISSN: 0033-295X https://doi.org/10.1037/rev0000422
1672