ELSEVIER Neuropsychologia 44 (2006) 2037-2078 IWUROPSYCHOLOGIA
ELSEVIER Neuropsychologia 44 (2006) 2037-2078 IWUROPSYCHOLOGIA
www elsevier comilocateineumpsychologia
Development of cognitive control and executive functions from 4 to 13 years:
Evidence from manipulations of memory, inhibition, and task switching
Matthew C. Davidson a'b, Dima Amso a, Loren Cruess Anderson c, Adele Diamond d,*
Sackler Institute for Developmental Psychobiologx frill Medical College of Cornell University; New York. NY. USA
b Department of Psychologx University of Massachusetts. Amherst. MA. USA
Shrive, Center. University of Massachusetts Medical School, Waltham. MA. USA
d Department of Psychiatrx University of British Columbia & Division of Child & Adolescent Psychiatty, BC Children's Hospital. Vancouver. Canada
Received 20 November 2005: received in revised form 7 February 2006: accepted 10 February 2006
Available online 31 March 2006
Abstract
Predictions concerning development, interrelations, and possible independence of working memory, inhibition, and cognitive flexibility were
tested in 325 panicipants (roughly 30 per age from 4 to 13 years and young adults.. 50% female). All were tested on the same computerized battery.
designed to manipulate memory and inhibition independently and together. in steady state (single-task blocks) and during task-switching. and to
be appropriate over the lifespan and for neuroimaging (MARI). This is one of the first studies, in children or adults, to explore: (a) how memory
requirements interact with spatial compatibility and (b) spatial incompatibility effects both with stimulus-specific rules (Simon task) and with
higher-level, conceptual rules. Even the youngest children could hold information in mind, inhibit a dominant response. and combine those as long
as the inhibition required was steady-state and the rules remained constant. Cognitive flexibility (switching between rules), even with memory
demands minimized, showed a longer developmental progression. with 13-year-olds still not at adult levels. Effects elicited only in Mixed blocks
with adults were found in young children even in single-task blocks: while young children could exercise inhibition in steady state it exacted a
cost not seen in adults, who (unlike young children) seemed to re-set their default response when inhibition of the same tendency was required
throughout a block. The costs associated with manipulations of inhibition were greater in young children while the costs associated with increasing
memory demands were greater in adults. Effects seen only in RT in adults were seen primarily in accuracy in young children. Adults slowed down
on difficult trials to preserve accuracy: but the youngest children were impulsive; their RT remained more constant but at an accuracy cost on
difficult trials. Contrary to our predictions of independence between memory and inhibition, when matched for difficulty RT correlations between
these were as high as 0.8. although accuracy correlations were less than half that. Spatial incompatibility effects and global and local switch costs
were evident in children and adults, differing only in size. Other effects (e.g.. asymmetric switch costs and the interaction of switching rules and
switching response-sites) differed fundamentally over age.
O 2006 Elsevier Ltd. All rights reserved.
Keywords: Task switching: Inhibition: Working memory: Simon effect: Asymmetric switch costs: Global and local switch costs: Stimulus—response compatibility:
Development: Children: Frontal lobe
Mature cognition is characterized by abilities that include
being able: (a) to hold information in mind, including compli-
cated representational structures, to mentally manipulate that
information, and to act on the basis of it, (b) to act on the basis
of choice rather than impulse, exercising self-control (or self-
regulation) by resisting inappropriate behaviors and responding
• Corresponding author at: Department of Psychiatry. University of British
Columbia. 2255 Wesbrook Mall. Vancouver. BC. Canada V6T 2AL
Tel.: +1 604 822 7220: fax: +1 604 822 7232.
E-mail address: adele.diamondaubc.ca (A. Diamond).
0028-3932(8 — see front matter O 2006 Elsevier Ltd. All rights reserved.
doi:10.1016/j.neuropsychologia.2006.02.006 appropriately, and (c) to quickly and flexibly adapt behavior
to changing situations. These abilities are referred to respec-
tively as working memory, inhibition, and cognitive flexibility.
Together they are key components of both "cognitive control"
and "executive functions" and have been studied in a wide vari-
ety of experimental paradigms with diverse subject groups.
Our battery of interrelated tasks enabled us to indepen-
dently and systematically vary demands on these abilities and
to track their development across a wider age range than hereto-
fore investigated using the same measures at all ages. Hav-
ing measures that span a wide age range is important given
the protracted developmental progressions of many executive
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2038 MC. Davidson e at /Neumps)rhologia 44 (2006)2037-2078
function and cognitive control skills. While some cognitive
abilities develop early, executive functions do not reach their
peak until early adulthood (DeLuca et al., 2003; Diamond,
2002; Fischer, Biscaldi, & Gezeck, 1997; Harnishfeger & Pope,
1996; Kail, 1991abc; Kail & Salthouse, 1994; Luciana &
Nelson, 2002; Luciana, Conklin, Hooper, & Yarger, 2005; Luna,
Garver, Urban, Lazar, & Sweeney, 2004; Lyons-Warren, Lillie,
& Hershey, 2004; Munoz, Broughton, Goldring, & Armstrong,
1998; Zelazo, Craik, & Booth, 2004). Each test in our battery
can be performed by children as young as 4 years; yet adults
still find many of them challenging. The entire battery takes
less than 30 min to complete. These tests are also designed
to be appropriate for testing nonhuman primates and for neu-
roimaging research using functional magnetic resonance imag-
ing (fMRI) (Diamond, O'Craven, & Savoy, 1998; O'Craven,
Savoy, & Diamond, 1998).
Across this wide age span, our battery provides within-
subject measures of two classic paradigms in cognitive psy-
chology, the Simon task and task switching. In the Simon task
paradigm, a non-spatial aspect of the stimulus (such as its
color or identity) is relevant and its spatial location is irrele-
vant. Nevertheless, the well-replicated finding in adults is that
responses are faster and more often correct when the stimu-
lus and response are on the same side than when they are on
opposite sides (the Simon effect, also called spatial incompati-
bility or stimulus—response compatibility; e.g., Craft & Simon,
1970; Fitts and Seger, 1953; Hommel, 1995; Hommel, Proctor,
& Vu, 2004; Lu & Proctor, 1995; Simon & Small, 1969; Simon,
1990; Simon & Berbaum, 1990). This effect indicates: (a) the
influence of an irrelevant stimulus attribute on performance and
(b) a prepotent tendency to respond on the same side as the
stimulus (confirmed at the neuronal level [see Georgopoulos,
1994; Georgopoulos, Lurito, Petrides, Schwartz, & Massey,
19891 and with lateralized readiness potentials [Valle-Inclan,
19961) which must be inhibited when the locations of stimu-
lus and response are incompatible. It thus provides insight into
an aspect of inhibitory control. A finding that the Simon effect
decreases over a certain age range provides evidence for when
developmental improvement in that aspect of inhibition occurs
and insight into when maturational changes in the neural sys-
tem underlying that might be occurring. That neural system
overlaps substantially with the neural system activated during
Stroop interference and other cognitive control paradigms. It
includes the anterior cingulate, lateral prefrontal cortex (dorso-
lateral and ventrolateral), pre-SMA, premotor cortex, posterior
and superior parietal cortex, inferior temporal cortex, the insula,
and precuneus (Bush, Shin, Holmes. Rosen, & Vogt, 2003;
Dassonville et al., 2001; Fan, Flombaum, McCandliss, Thomas,
& Posner, 2003; lacoboni, Woods, & Mazziotta, 1998; Liu,
Banich, Jacobson, & Tanabe, 2004; Maclin Gratton, & Fabiani,
2001; Peterson et al., 2002; Thomas et al., 1999; Wager & Smith,
2003).
We investigated spatial incompatibility effects both decreas-
ing and increasing the working memory requirements tradition-
ally required for Simon tasks. We decreased it in one case by
providing icons depicting stimuli A and B over their respective
response-sites so that which response goes with which stimulus did not have to be held in mind and in another case by using
stimuli (Arrows) that pointed to where to respond. We increased
the working memory requirements by introducing conceptual
rules, where the correct response required mental manipulation.
Instead of a rule being "for A press left:' a rule was "for A
press on the side opposite A:' Thus, in addition to activating
the rules associated with the two stimuli (the memory require-
ment in standard Simon tasks), participants had to instantiate the
appropriate rule for the particular spatial location of the stimulus
on each trial.
Task-switching paradigms target the ability to flexibly shift
from one mindset to another, often times acting according to
rules that would be incompatible with the other mindset. This
has been studied extensively in adults (e.g., Allport, Styles, &
Hsieh. 1994; Jersild, 1927; Meiran, Gotler, & Perlman, 1996;
Monsell & Driver, 2000; Rogers & Monsell, 1995; Meiran
et al., 2000a,b; Meiran, 2005; Spector & Biederman, 1976;
Sudevan & Taylor, 1987), including the elderly (e.g., Kramer,
Hahn, & Gopher, 1999; Mayr, 1996; Meimn, Gotler, & Perlman,
2001), and in various clinical groups (e.g., Aron, Sahakian,
& Robbins, 2003; Brown & Marsden, 1988; Downes et al.,
1989; Flowers & Robertson, 1985; Hayes, Davidson, Rafal &
Keele, 1998; Mecklinger, von Cramon, Springer, & Mantles-
von Cramon, 1999; Rogers et al., 1998). However, to date,
only a handful of studies have looked at task switching in chil-
dren (Cepeda, Kramer, & Gonzalez de Sather, 2001; Cohen,
Bixenman, Meiran, & Diamond, 2001; Crone, Bunge, Van der
Molen, & Ridderinkhof, in press; Crone, Ridderinkhof, Worm,
Somsen, & van der Molen, 2004; Reimers & Maylor, 2005;
Zelazo, Craik, & Booth, 2004).
Switching is fundamentally difficult and a paradigmatic
instance of when top-down executive control is required
because generally it cannot be done "on automatic:' It taxes
both working memory and inhibition (the newly-relevant
rules and stimulus-response relations must be activated and
the previously -relevant ones suppressed). One cannot get in the
"groove" of repeatedly doing the same thing or staying in the
same mindset because periodically one will have to change that.
A groove is a good analogy because it takes effort to climb over
the banks of the groove (the mindset) one is in and settle, however
temporarily, into another grove. Neuroimaging studies confirm
that task-switching (as opposed to continuing to do the same
task) activates the neural system associated with executive func-
tion and top-down cognitive control, that is lateral prefrontal
cortex (dorsolateral and ventrolateral), inferior frontal junction
(IFJ) and premotor cortex, pre-SMA and the anterior cingu-
late, and the insula and cerebellum (Brass et al., 2003; Brass,
Derrfuss, Forstmann, & von Cramon, 2005; Braver, Reynolds, &
Donaldson, 2003; Crone, Wendelken, Donohue, & Bunge, 2005;
DiGirolamo et al., 2001; Dove, Pollmann, Schubert, Wiggins,
& von Cramon, 2000; Dreher & Berman, 2002; Dreher &
Grafman, 2003; Kimberg, Aguirre, & D'Esposito, 2000; Meyer
et al., 1998; Omori et al., 1999; Pollmann, 2001; Sohn, Ursu,
Anderson, Stenger, & Carter, 2000; Sylvester et al., 2003; Wager,
Reading, & Jonides, 2004). Consistent with this, patients with
frontal cortex damage are impaired at switching between tasks
(Mon, Monsell, Sahakian, & Robbins, 2004; Diedrichsen, Mayr,
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M.C. Davidson es nl. /Neuropsychologia 44 (2006)2037-2078 2039
Dhaliwal, Keele. & Ivry, 2000; Keele & Rafal, 2000; Owen et
al., 1993; Rogers et al., 1998; Shallice & Burgess, 1991).
We report here on the developmental progression in almost
300 children from 4 to 13 years of age and the performance
of young adults for comparison, all tested on the same test
battery. Various manipulations exploited task switching and spa-
tial incompatibility effects, with and without an added memory
component, or taxed memory without taxing inhibition or task
switching, enabling us to test predictions concerning interre-
lations, independence, and the developmental progressions of
working memory (how much information you must hold in
mind and how many steps must be mentally executed using that
information), inhibition (resisting an incorrect response you are
inclined to make in order to make the correct response), and
cognitive flexibility (switching between tasks or rules). The pre-
dictions we tested were generated from hypotheses concerning
inhibition and working memory and hypotheses concerning cog-
nitive flexibility and task switching.
1. Hypotheses relevant to inhibition and working
memory
We hypothesized that inhibition would exact a greater relative
cost for young children than for older children or young adults,
and thus predicted that inhibitory demands would account for a
greater proportion of the variance in children's performance than
in adults, and the more so the younger the child. In young adults,
in whom inhibitory control is more mature, we hypothesized
that memory demands would exact a greater cost than inhibitory
demands.
Because we hypothesized that inhibitory control is extremely
problematic for very young children, we predicted they would
perform poorly on all trials requiring inhibition (Incongruent
trials and switch trials) and that those effects would be addi-
tive. We predicted that older children and adults would show
the same "asymmetric switch costs" (a greater relative switch
cost for switching to the easier [Congruent] condition) previ-
ously reported in adults (Allport & Wylie, 2000; Allport et al.,
1994; De long, 1995; Kleinsorge & Heuer, 1999; Los, 19%;
Stoffels, 1996; Wylie & Allport, 2000). Further, for slightly
older children, who are beginning to exercise better inhibitory
control, doing so should require greater effort than in older
participants. Hence, we predicted that undoing that inhibition
(switching back to making a dominant response) should exact
a greater cost in those children than in adults. Thus, we pre-
dicted that beginning after 6 or 7 years, asymmetric switch
costs would be larger in younger than older participants, but
that the youngest children would show an opposite pattern of
asymmetry.
The ability to simply hold items in mind (without any added
requirement to manipulate that information or exercise inhibi-
tion) develops early, is robust even in preschoolers, and shows
little improvement with age (Brown, 1975; Dempster, 1985;
Diamond, 1995). Given the early maturation of the ability to
hold items in mind, we predicted that although it would be harder
for everyone to hold more items in mind than fewer, the relative
difficulty of that would not change over age. Finally, Diamond (1991, 2002) and others (Anderson &
Spellman, 1995; Gemsbacher & Faust, 1991; Hasher, Stoltzfus,
Zacks, & Rypma, 1991) have hypothesized that working mem-
ory and inhibition are separable functions. This is consistent
with the results of the factor analyses of Miyake et al. (2000) that
found working memory and inhibition to be moderately corre-
lated but clearly separable. Many scholars, however, have argued
that there is no need to postulate an inhibitory function separate
from working memory and have produced neural network mod-
els consistent with that (Cohen, Dunbar, & McClelland, 1990;
Kimberg & Farah, 1993; Miller & Cohen, 2001; Morton &
Munakata, 2002; Munakata, 2000). Given that we hypothesized
that working memory and inhibition are independent, we pre-
dicted that performance on tasks that tax primarily memory or
primarily inhibition would not be highly correlated, and tested
this for relatively easy tasks and for relatively difficult tasks
requiring primarily memory or primarily inhibition, matched on
difficulty.
2. Hypotheses relevant to cognitive flexibility and task
switching
Diamond (1990, 1991, 2002) has long maintained that it is
the conjunction of simultaneous demands on holding informa-
tion in mind and inhibition that is truly difficult, especially if
one's mental settings have to be continually re-set because the
task changes. We thus predicted that the most difficult condition
at all ages would be the one that taxes inhibition and memory in
a switching context, where top-down executive control is con-
tinually required, and that that would be even more difficult than
having to hold three times as much information in mind but with
no inhibition or switching component. Further, since we hypoth-
esized that switching is so difficult, we predicted that having to
switch between task sets would show a long developmental pro-
gression even when memory demands are minimized.
Diamond has recently theorized that several seemingly inde-
pendent findings in cognitive psychology can be integrated under
the hypothesis that the brain and mind tend to work at a grosser
level, and only with effort, or more optimal functioning, work
in a more selective manner (a theory Diamond has called "all
or none" (Diamond, 2005, in preparation)). For example, it is
easier to take into account all salient aspects of a stimulus than
only some of its properties. Indeed, it is difficult to ignore irrele-
vant properties of an attended stimulus, as the Simon effect and
children's difficulties on card sorting tasks so amply demon-
strate (Diamond, Carlson, & Beck, 2005; Kirkham, Cruess, &
Diamond, 2003).
Another finding that fits under the all or none rubric is that
it is easier to inhibit a dominant response all the time than only
some of the time. One of the most demanding cognitive require-
ments is to switch back and forth, to overcome inertial tendencies
favoring staying in the "groove" one is in (Kirkham et al., 2003).
Once in a "groove," even if it was a difficult one to settle into
(because it required resisting a tendency to act otherwise, for
example) it is not that difficult to continue along that path. It
is re-mapping stimulus—response associations, changing mind-
sets, that is quite difficult (Brass et al., 2003; Fagot 1994; Los,
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2040 M.C. Davidson et al. /Neumpsychologia 44 (2006)2037-2078
1996, 1999; Schuch & Koch, 2003, 2004; Wannk, Hommel, &
Allport, 2003). We thus predicted that performance at all ages
would be better in Incongruent -only blocks (where inhibition is
consistently required on all trials) than in Mixed blocks (where
inhibition is only required on the 50% of trials that are Incon-
gruent), and that this difference would be greater the younger
the children. This might seem obvious, but most studies of the
classic Stroop effect still tend to administer the conditions in
single-task blocks (read all the words or state the ink color of
all the words), missing the most difficult condition (switching
between having to read the words and having to state the ink
color).
A further seemingly independent finding that provides
another example of the all or none principle is that it is eas-
ier to switch everything, or nothing, than to switch one thing
(e.g., the rule or the response) but not the other (Hommel et al.,
2001; Kleinsorge, 1999; Meiran, 2000a,b; Rogers & Monsell,
1995; Schuch & Koch, 2004). Similarly, if you are supposed to
press the color opposite to a stimulus it is easier to also press the
button on the side opposite to the stimulus (rather than the typ-
ical bias to respond on the same side as the stimulus; Hedge &
Marsh, 1975). Issuing a global "change" or "opposite" command
to all systems appears to be preferred by our neural machinery
over a more selective command to just the action system or to
just one aspect of cognition. This has been demonstrated not
only in young adults, but also in older adults (Mayr, 2001) and
children (Crone et al., in press). We predicted that we would
demonstrate these effects, heretofore documented only in adults
and older children, even in young children. Thus, we predicted
that throughout our age span, participants would do better at
switching tasks if the response-site also changed and would be
slower and less accurate on switch trials when the response-site
remained the same as on the previous trial.
Another way of putting some of the above points is that con-
text matters. For example, even "easy" trials do not seem so
easy when they are presented in the context of switching between
those and "harder trials. Knowing that sometimes you will have
to switch can cause you to slow down (and perhaps err more) on
trials where you do not have to switch. Local context matters; it
matters what trials came before a particular trial. For example,
was the rule on the preceding trial the same as on the current
trial? Performance is better on nonswitch than on switch tri-
als. Was the response-site on the preceding trial the same as on
the current trial? Studies in adults have shown that performance
is better on nonswitch, same-response -site trials than on non-
switch, response-site-switch trials and on rule-switch, response-
site-switch trials than on rule-switch, same-response -site trials.
We predicted a different pattern in the youngest children and a
more exaggerated version of the adult pattern in slightly older
children (see above).
Global context also matters; it matters what kind of trial block
a given trial occurs in. Performance on the same type of trial
(e.g., Congruent, Incongruent) in the same type of local con-
text (e.g., nonswitch) varies depending on the larger context
(e.g., a single-task block or Mixed block). Performance even on
"easy" nonswitch trials (where the rule on the present trial is the
same as on the previous trial) is usually slower and less accurate when they are presented in the context of having to periodically
switch between rules than in a block of all nonswitch trials.
Such global switch costs (the difference in performance on non-
switch trials in a Mixed block versus in a single-task block; Fagot
1994, Mar, 2000) have been shown to be greater for elders than
for younger adults (Kray, Eber, & Lindenberger, 2004; Kray &
Lindenberger, 2000; Mayr, 2000; van Asselen & Ridderinkhof,
2000) and higher for children than for young adults (Cepeda
et al., 2001; Cohen et al., 2001; Reimers & Maylor, 2005),
though this has not been investigated in children as young as the
youngest tested here and though some studies have not found an
age difference in global switch costs (Crone et al., in press; Kray,
Li, & Lindenberger, 2002). We predicted that global switch costs
would not only be found in our youngest participants but would
be more exaggerated the younger the child.
Because of floor effects (subjects should already be slower
and more error-prone in the Incongruent -only block), the effect
of context (the Mixed block versus single-task block) should
be greater on Congruent than Incongruent trials. We predicted
that this would be more evident the younger the child. Thus,
performance on "easy" (Congruent, nonswitch) trials should fall
closer and closer to the level of "harder" trials in the context of
sometimes having to switch back and forth the younger the child.
3. Methods
3.1. Participants
A total of 325 individuals participated. ranging in age from 4 to 45 years.
Of these. I 1 children were excluded from the analyses for failing to press any
button or consistently pressing both. Of the remaining 314 participants. 50%
were female (157 female. 157 male). Table 1 shows the number and gender of
participants in each of the age groups. Children were recruited through local
preschool and elementary school programs in the suburban Boston area. Adults
Table 1
Number of participants within each age and gender group
Age group'
(years) Mean age
(years) S.U. N Gender
Female Male
4 4.43 0.25 30 14 16
5 5.19 0.17 30 14 16
6h 6.01 0.40 30 15 15
6h 6.22 0.35 30 12 IS
7 7.12 0.20 30 13 17
8 7.97 0.28 30 10 10
9 9.07 0.30 30 17 13
10 9.92 0.30 30 13 17
II 11.01 0.32 28 II 17
13 12.89 1.21 26 17 9
Adults 26.30 5.40 20 14 6
Total number of
participants 314 157 157
4 The age groups were used for illustrative purposes when preparing graphs.
All regression analyses used the actual ages of participants and treated age as a
continuous variable.
b TWo groups of 6-year-old children were tested to study the effects of short
vs. long presentation time at this intermediate age. For one group. stimulus
presentation time was 2501 ms. the slower version used with younger children.
For the second group. stimulus presentation time was 750 nu, the faster version
used with older children and adults.
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ACC. Davidson et al. /Neumpsychologia 44 (2006) 2037-2078 2011
were recruited from within the Eunice Kennedy Shrivcr Center in Waltham. MA.
The majority of participants were Caucasian and from middle to upper middle
class families. Informed consent was obtained from all adult participants and
from a parent of each child participant: assent was obtained from the younger
children and consent from the olderones. All participants received a small, token
present for their participation.
3.2. Procedures common to all tests in our batten•
All tasks were presented on a Macintosh computer using MacStim to
present the stimuli and record responses. Participants held a button box
(10cm x 14 cm x 3 cm) with both hands and used their thumbs to press the two
response buttons. For each task a horizontal rectangle (6 cm x 18 cm) with a cen-
tral fixation cross was presented on the computer screen (25cm x 33 cm). Only
one stimulus was presented per trial and participants were positioned approxi-
mately 50cm from the screen.
Participants completed a set of four related tests designed to manipulate
demands on working memory and inhibitor)• control (see Fig. I ). For adults and
older children (>7 years). stimulus presentation time was 750ms. For younger
children (4-6 years). stimulus presentation time was 2500ms. In all cases the
interstimulus interval was 500 ms. resulting in total trial durations of 1250 and
3000 ms. respectively. An additional group of 6-year-oldchildren was tested with
the short (adult) presentation time (750ms) to study the effects of presentation
time at this intermediate age.
Each task began with condition-specific instructions and a short practice
block consisting of four or six trials. Different numbers of trials were used to
allow presentation of all relevant trial types within each practice block. Partic-
ipants could repeat the practice trials if needed to demonstrate learning of the
requirements for a given task. Most children learned the task requirements with
one practice block and no participant needed more than two practice blocks.
The criterion for demonstrating learning was 75-80% correct on the practice
trials and to be able to verbally tell the experimenter the rules. Testing blocks
contained 20 trials and each participant completed 1 block for each condition
of each task. except for the 2 conditions of the Abstract Shapes task. each of
which contained 2 blocks (with a shoo break in between) for a total of 40 trials
for each condition. The set of tests was administered with Arrows first. then
Dots. Abstract Shapes (two then six shapes). and finally Pictures. A subset of
participants were tested with Arrows presented last and Pictures presented first
to check for order effects. but this did not affect performance. so results for both
orders of presentation are collapsed together in the results reported here.
3.3. Procedures specifie le individual tests
3.3.1. Pictures
This test is a classic Simon task. Here, a color picture of either a frog or
butterfly was presented on the left or right side of the computer screen(see Fig. I).
Each stimulus had an associated right or left response. The exact instructions
given participants were: "If you sec a butterfly, press the button on the left.
whether the butterfly appears on the left or right: if you see a frog. press the
button on to the right. whether the frog appears on the left of right:' Small
versions of the stimuli were attached next to the correct buttons on the response
box to minimize the need to remember which stimulus was associated with which
button. The stimuli were presented randomly on the left or right of the screen
over the block of 20 trials, yielding Congruent (compatible) and Incongruent
(incompatible) trials.
3.3.2. Arrows
Here. a single large arrow was presented at the left or right of the computer
screen. The arrow pointed either straight down (toward the response button on
the same side as the arrow) or toward the opposite side at a 45' angle (toward the
response button on the opposite side: see Fig. 0.0n Congruent trials. the arrow
pointed straight down and participants were to respond on the same side as the
arrow. On Incongruent trials. the arrow pointed diagonally toward the opposite
side and participants were to respond on the side opposite the arrow. The precise
instructions participants were told were. "1 want you to push the button the arrow
is pointing toward. If the arrow is on the side of the box pointing down like this
IE demonstrated] to this button. press this button. If the arrow is on the other side pointing down like this IE demonstrated] to this button. press this button. If the
arrow is on this side. pointing down across the screen like this IE demonstrated]
to this button. press this button. If the arrow is on the other side. pointing down
across the screen like this IE demonstrated] to this button. press this button:'
Congruent and Incongruent trials were presented in a randomized Mixed block
of 20 trials. This requires inhibiting the tendency to respond on the same side as
the stimulus when a diagonal arrow appears. but it requires little or no working
memory. as the arrow points directly to the correct response button on all trials.
3.3.3. Dols
The Dots test was designed to tax both working memory and inhibition.
while the other tests were designed to tax primarily either working memory
or inhibition, not both. Here, a large dot (diameter = 2_5 cm). was presented
either at the left or right on each trial (sec Fig. I). Two types of Dots (striped
or solid) were used. Striped Dots contained vertical black and white stripes.
while solid Dots were a uniform gray color. These Dots were equated for visual
characteristics such as size and luminance. For half of the participants a striped
dot indicated they should make a response on the same side as the dot while
a gray dot indicated they should respond on the side opposite the dot. These
rules were reversed for the other half of the participants. An initial block of 20
Congruent trials (with all responses on the same side as the dot) was followed
by a block of 20 Incongruent trials (with all responses on the side opposite the
dot), and then by a Mixed block of 20 trials where Congruent and opposite
trials were randomly intermixed. Instructions and practice were given before
the Congruent and Incongruent blocks. Instructions alone were given before the
Mixed block. e.g.. "Remember. gray same side: striped opposite: Memory is
required on all trials of the Dots test to remember the rules (respond on the same
or opposite side as the dot I. Inhibition is required on Incongruent trials to inhibit
the prepotent response to respond on the same side as the visual stimulus. This
task is similar to one used by Shaffer (1965) though there each subject received
only one type of trial block (Congruent. Incongruent. or Mixed) and therefore
subjects did not have the benefit of testing with the two easier trial blocks before
receiving the Mixed block. The Dots task is also similar to a task used by Vu and
Proctor (2004) but the rules for their single-task blocks did not refer to stimulus
appearance and so the memory demand in their Mixed condition might have
been greater than in ours.
3.3.4. Abstract Shapes
In the Abstract Shapes test. unlike all other tests.each stimulus was presented
in the center of the rectangle. Participants were taught a rule for each stimulus
("for this one press the left button": "for this one press right") during short prac-
tice blocks before each testing condition. There were two conditions involving
two- or six-Abstract-Shapes. Participants first completed the two-shapes condi-
tion (2 blocks of 20 trials) and were then taught 4 additional rules. for a total
of 6 shapes. and were then tested on another two blocks of 20 trials. The six-
Abstract-Shapes condition taxes memory heavily (participants must hold six
rules in mind). but it requires little or no inhibition (as the stimuli appear at the
center of the screen and do not preferentially activate the right or left hand).
4. Results: general comments
The three dependent measures were percentage of correct
responses (accuracy), speed (reaction time MTH, and percent-
age of anticipatory responses (AR). Linear regressions were used
for all analyses involving age and each subject's exact age was
entered, not simply the person's age grouping. Within-subject
ANOVAs were used for analyses comparing tasks, conditions
within task, or trial types. All binary comparisons included
Tukey corrections for multiple comparisons. Whenever the vari-
ance structure did not conform to the requirements for parametric
analyses, logarithmic or arc sine transformations of the data were
used to obtain the required conformity. All tables and figures
present the raw, untransfonned data.
A response time faster than 200 ms was considered antic-
ipatory (too fast to be in response to the stimulus). Those
EFTA01098882
2012 MC. Davidson et at /Neumpsychologia 44 (2006)2037-2078
Press Left
Press Right CONGRUENT TRIALS INCONGRUENT TRIALS
DOTS TEST: A SPATIAL INCOMPATIBILITY TASK
with ARBITRARY STIMULI
• Press Right
• Press Left
ARROWS TEST: A SPATIAL INCOMPATIBILITY TASK
with ICONIC STIMULI
Press -elf
4]Press Right Press Left
Press Right
PICTURES TEST: A SPATIAL INCOMPATIBILITY TASK
that is a CLASSICAL SIMON TASK
4
Press Left
Press Rignt
MEMORY LOAD
Low
Medium
High Low e
Press Right
4
Press Left ABSTRACT SHAPES TEST:
A MEMORY LOAD TASK
Press Left
Press Right
Press Right
Press Right
Press Left
Press Left
INHIBITORY CONTROL DEMAND
Medium High
Dots-Congruent Dots-Incongruent.
Pictures Arrows
2-Abstract -Shapes Dots-Mixed
6-Abstract -Shapes These 2 cells are logically possible. e.g . 6-Abstract Side (a
'Simon" task with 3 stimuli per response button) would be High
Memory! Medium Inhib. However such tasks are too difficult
Fig. I. Illustration of the tasks in our battery with a table summarizing the demands of each on memory and inhibition.
EFTA01098883
M.C. Davidson et at. /Neuroptychologia 44 (2006)2037-2078 2043
responses were excluded from analyses of accuracy or speed,
but were included in analyses of anticipatory responses (ARs).
ARs occurred when a participant was either too eager and
failed to wait for the stimulus on the current trial or failed to
release the button following the previous trial. These anticipa-
tory responses indicate inhibitory failures and are reported as a
percentage of all possible responses where appropriate. A trial
was considered correct if: (a) the first response following a stim-
ulus was correct and (b) RT was >200 ms following stimulus
onset.
The percentage of correct responses was calculated by divid-
ing the number of correct responses by the sum of correct
plus incorrect responses. Anticipatory responses were excluded
from that calculation. The median RI' for correct responses
only was calculated for each participant. The median value,
rather than the mean value, was used to reduce the effect of
outlying RI's.
The youngest children received a slower version of our tasks
than the rest of the children and adults. The stimuli were pre-
sented to the 4- and 5-year-olds and one group of 6-year-olds for
much longer than they were presented to the rest of the children
and adults (trial durations of 3000 and 1250 ms, respectively).
Analyses over all ages might exaggerate RT differences over
age (since children given longer to respond will naturally take
longer) and might underestimate accuracy differences (since
children given longer to respond are likely to make fewer errors).
Hence, analyses of age differences are reported separately for
the youngest children tested with a presentation time of 2500 ms
and for all other participants tested with a presentation time of
750 ms.
The effects of gender, and interactions of gender with age,
were tested in all analyses. Significant effects were not found.
Independent age-related regressions for male and female partic-
ipants showed comparable R2 values across the three dependent
measures for all tests.
5. Results: basic level results for the tasks that included
an inhibitory component (Pictures, Arrows, and Dots)
5.1. Pictures
The Pictures test was designed to provide a measure of the
Simon effect in children. It tests the effect of an inhibitory
demand (resisting the impulse to respond on the same side as
the stimulus) with little or no working memory demand since
small icons were attached above the appropriate response keys
to indicate the correct response for each stimulus. The older the
subjects, the better their performance (see Table 2). This was
highly significant when all ages were included in the analyses
(p <0.0001 for each of the three dependent variables) and for
ages 6 years through adults tested with the brief presentation time
(accuracy: F(1,222)= 17.93, p < 0.0001; RT: F(1,222) = 35.36,
p <0.0001; anticipatory responses: F(1,222) = 10.8, p <0.001),
the effect of age being particularly marked on speed of respond-
ing. The youngest children (4-6 years of age) improved in speed
and reduced anticipatory responses on the task over age, but
given a long time to respond showed no difference over age in accuracy (RT: F(1,88)=4.58, p < 0.04; anticipatory responses:
F(1,88) = 6.07, p <0.02).
5.2. Arrows
The Arrows test was designed to require inhibitory control
when a response was required on the side opposite the stimulus
but to require little or no working memory as the stimuli them•
selves point to the correct response button. Performance was
better as a function of age, with increased accuracy, increased
speed, and reduced anticipatory responses (Table 2). This was
highly significant for accuracy and anticipatory responses when
all ages were included in the analyses but not significant for
speed of responding (accuracy: F(1,312)=57.06; p<0.0001;
AR: F(1,312) = 35.73, p <0.0001). When the youngest children,
tested with a long presentation time, were removed from the
analyses, the age-related improvements in speed, as well as accu-
racy and reduced incidence of anticipatory responses, were sig-
nificant at p <0.0001 (F(1,222) = 76.88 [%correct]; 36.07 MTh
38.56 [AM). The youngest children (4-6 years of age) showed
a steady reduction in anticipatory responses, and 6-year-olds
responded correctly significantly more often than children of 4
or 5 years, but there was no difference over the age range of 4-6
years in response speed (accuracy: F( 1,88) = 10.69; p <0.005;
AR: F(I ,88) = 6.5, p <0.02).
5.3. Dots
In the Dots test there were three conditions (Congru-
ent, Incongruent, and Mixed). Performance in each condition
improved significantly as a function of age, with increased accu-
racy and speed, and reduced anticipatory responses the older the
participants (see Fig. 2). Unless othenvise noted, all results in the
next three paragraphs for improvement over age are significant
at p < 0.0001.
For the Congruent condition, performance improved over age
in the percentage of correct responses, RT. and reduced antici-
patory responses (F(1,312) = 34.68. 116.97, and 8.42 (p < 0.05
for AR), respectively with all subjects in the analyses). The
corresponding results for only those tested with the 750-ms
stimulus presentation time (6-year-olds through adults) are
F(1,222) = 14.33 (p < 0.001), 55.05, and 2.59 (NS for AR). The
corresponding results for only those tested with the 2500-ms pre-
sentation time (children of 4-6 years) are F(1,88) = 18.19 and
8.54 (p <0.005), and 18.52.
For the Incongruent condition, with all subjects included,
performance improved over age in accuracy (F(1,312)=46.60),
speed (F(1,312) = 110.76), and reduced anticipatory responses
(F(1,312)=39.77). The corresponding results for those ≥6
years of age are F(1,222)=33.09, 47.21, and 24.33. The
corresponding results for those 4-6 years of age are
F(1,88) = 7.76 (p < 0.005), <I (NS), and 15.07.
For the Mixed condition, the results for improvement
over age with all subjects included in the analyses are
F(1,312)=66.65 (%correct), 62.15 (RT), and 42.84 (AR).
For only those ≥6 years of age, the corresponding results are
F(1,222)=61.95, 10.68, and 31.51. For only those 4-6 years of
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2044 MC. Davidson et at. /Neumpsychologia 44 (2006)2037-2078
Table 2
Table of means for each of the task conditions by age of the participants
Task condition Age in years Average Tukey
results
4 5 6 6 7 8 9 10 11 13 26
Accuracy (percentage of correct responses)
Pictures 91.67 87.59 93.92 88.07 85.26 88.03 86.14 91.45 91.08 92.25 100.00 98.23 A
Arrows 83.36 79.11 90.22 77.87 73.67 77.97 80.22 78.38 84.63 88.19 95.19 90.06 B
Dots Congruent 96.33 94.96 98.61 96.00 96.86 99.65 99.30 99.67 99.62 99.55 98.50 91.47 B
Incongruent 86.93 86.12 92.62 88.05 88.77 90.46 89.51 93.83 96.38 95.02 89.73 76.37 D
Mixed 68.57 68.03 77.37 71.24 71.97 73.70 74.94 76.96 81.71 85.81 96.22 82.71 C
Abstract Shapes Two-shapes 88.95 88.96 90.34 87.69 84.82 88.00 87.38 88.65 89.91 94.95 96.80 89.68 B
Six-shapes 76.87 77.16 87.39 73.29 72.60 73.97 81.34 78.42 79.16 86.46 89.92 79.69 C
Average 84.67 83.13 90.07 83.17 81.99 84.54 85.55 86.77 88.93 91.75 95.19
Reaction time (in ms)
Pictures 1037.48 952.67 881.20 665.55 602.25 563.40 513.95 523.65 471.02 473.79 422.08 646.09 C
Arrows 1121.28 1150.60 1090.42 797.73 725.57 683.07 613.12 651.77 578.04 555.46 465.25 766.57 BE
Dots Congruent 775.37 684.58 677.37 474.53 412.12 395.05 356.87 341.13 331.46 323.87 271.30 458.51 A
Incongruent 1023.12 905.75 875.02 619.87 546.27 501.63 444.02 451.83 398.09 402.87 321.28 589.98 CD
Mixed 1172.32 1195.47 1177.00 787.10 728.18 725.98 644.72 654.15 597.36 593.85 562.98 803.55 E
Abstract Shapes Two-shapes 892.80 853.88 795.17 608.15 552.03 520.58 478.38 463.13 436.23 434.56 371.40 582.39 D
Six-shapes 1121.20 1038.10 987.53 726.72 694.15 662.98 640.55 61233 592.23 568.29 532.93 743.38 B
Average 1020.51 968.72 926.24 668.52 608.65 578.96 527.37 528.31 486.35 478.95 421.03
Percentage of anticipatory responses
Pictures 12.17 12.17 6.67 6.83 8.33 4.00 2.17 0.67 1.79 0.77 0.50 5.10 E
Arrows 19.33 17.00 9.00 21.33 23.17 18.67 10.83 9.00 6.96 2.31 0.50 12.56 B
Dots Congruent 13.83 10.67 2.67 6.33 7.17 6.83 5.50 6.83 6.25 5.38 2.75 6.75 A
Incongruent 21.17 15.33 8.33 11.50 10.33 8.33 8.83 5.50 2.68 3.85 0.25 8.74 A
Mixed 28.67 21.00 15.00 23.00 25.50 26.67 16.17 11.33 5.18 4.42 3.50 16.40 D
Abstract Shapes Two-shapes 18.00 11.50 7.75 8.42 7.08 6.58 3.67 4.42 2.50 1.35 0.88 6.56 A E
Six-shapes 18.00 17.83 11.58 15.33 15.33 13.83 6.08 5.83 4.73 2.98 2.75 10.39 B C
Average 18.74 15.07 8.71 13.25 13.85 12.13 7.61 6.23 4.30 3.01 1.59
age, the corresponding results are F(1,88)= 6.24 (p< 0.05), <1
(NS), and 11.21 (p< 0.005).
When the stimuli were presented for only 750 ms, 6-year-olds
performed at a level of accuracy roughly comparable to that of
4-5-year-old children shown each stimulus for 2500 ms. While
children of 4 or 5 years could perform well in the single-task
blocks, even the Incongruent one, their average accuracy dipped
below 70% in the Mixed block, even on Congruent trials. At the
fast stimulus presentation rate (750ms), it was not until the age
of II years that children began responding at >80% correct on
average in the Mixed block. Even our oldest children (13 years
old) were not yet correct on 90% of the items in the Mixed block.
6. Results: spatial compatibility effects
6.1. Spatial compatibility effects: Pictures task
The Pictures test contained two intermixed trial types. Con-
gruent and Incongruent, with spatial incompatibility present
on the Incongruent trials. Participants made fewer errors
and responded faster on Congruent than Incongruent trials
(0[313[=10.1 [accuracy], 8.38 [RTI, both p< 0.0001; antici-
patory responses NS; see Fig. 3). These comparisons indicate
that the presence of spatial incompatibility affected perfor-mance. This effect was present at all ages and particularly
pronounced in the younger children (t(89)=5.35 [accuracy],
4.49 IRT], both p<0.0001; ARs, NS). It was present, though
smaller, in older children and adults 0(223) = 8.55 [accuracy[,
10.41 1RT1, both p <0.0001 ARs, NS) decreasing from the
age of 6 years onward (accuracy: F(1,222)=7.46, p < 0.01;
speed: F(1,222) = 5.23, p<0.02; see Fig. 3). Children of 4-6
years, allowed a long time to respond, showed no change in
the absolute size of the effect over age. However taking into
account their baseline speed on Congruent trials, the percent-
age increase in RT on Incongruent trials decreased signifi-
cantly over these ages (children 4-6 years old: t(89)=4.23,
p <0.0001).
Inhibition was required on only half the trials in the Pictures
task (the Incongruent ones). Although children of 4-5 years were
able to perform correctly on 90% of the Congruent trials, they
were correct on only 80% of the Incongruent trials. Only the
older subjects, and the 6-year-olds given a long time to respond,
were able to perform at ≥85% on Incongruent trials in the Pic-
tures task (88%, 88%, 89%, 94%, and 85%, at ages 10,11 and 13
years, young adult, and 6 years allowed a long time to respond,
respectively). Accuracy at ages 6-9 years, given a short time
to respond, was comparable to that seen at 4-5 years with the
longer response window.
EFTA01098885
M.C. Davidson et al. /Neap rhologia 44 (2006)2037-2078 Percent Correct
(A) 100
90
80
70
60
1400
1200
11000
.5 800
iE 800
IS 400
cc ▪ 200
j8) 0 %Anticipatory Responses
(C) 40
30
20
10
0 4 es • — •• •
t• - t • a. 9
4 5 6 6 7 8
F. ▪ --a. 9 10 I & Congruent iincongnani
I Mixed
13 20
• CI
• •
6
StimuS presented for 2500 ms 6 7 8 9 10 11
Anticipatory Responses Errors
8 7 8 9 10 11 •
13 26
13
Stimuli presented for 750 ms
Age In Years
Fig. 2. Dots conditions: (A) accuracy. (B) reaction time and (C) anticipatory response errors.
6.2. Spatial compatibility effects: Arrows task
The Arrows test also presented Congruent and Incongruent
trials randomly intermixed. The youngest participants (4-6 years
of age, tested with the 2500.ms presentation time) were both
more accurate (4891=7.25. p <0.0001) and faster 01891=3.44, p <0.001) on Congruent than Incongruent trials (showing inter-
ference similar to the Simon effect). Similarly, participants 6
years and older, tested with the 750-ms presentation time, were
also more accurate and faster on Congruent than Incongru•
ent trials (accuracy: 4223] = 8.76, p <0.0001; RT: 42231=7.91,
p <0.0001). Among those ≥6 years, the difference in accuracy
EFTA01098886
2046 MC. Davidson es at. /Neumps)rhologia 44 (2006)2037-2078
g °
167 0 C • =
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,c E
25 o 2 O go
0
(A) 16
14
12
10
8
4
2
t 140
1) 6.• 6. 125
.S 80
O • ai 65 c
(B) 36
25
31.
CAGEy O• t 20
t-.• Th
1= 2 15 CC o
ern • o 10 o
ix o2a
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(c) 5
0 4 5 6 6 7 B 9 10 11
f 4 10 I I 6 b 7 6 9 13 26
13
4 5 6 6 7 8 9 10 11 13 26
I
Staub presented for 2500 ms Staub presented for 750 ms
Age in Years
Fig. 3. Simon effect on the Pictures task. (A) Difference in percent correct: Congruent minus Incongruent trials. (B)difference in reaction time: Incongruent minus
Congruent trials and (C) percentage change in reaction time: (reaction time on Incongruent minus Congruent trials) divided by reaction time on Congruent trials.
(but not speed) on Congruent versus Incongruent trials decreased
as a function of age (accuracy: F(1,222) = 13.51, p <0.0003).
6.3. Spatial compatibility effects: Dots task
There was a significant spatial incompatibility effect in the
Mixed condition of the Dots task (where Congruent and Incon-
gruent trials were again randomly intermixed). Participants
were significantly faster on Congruent (spatially compatible)
trials than on Incongruent (spatially incompatible) trials:
$223) = 2.09, p < 0.04 (all subjects included); t(217)=2.49, p <0.01 (subjects ≥6 years old); NS for the youngest children.
This effect of spatial incompatibility on speed did not change
significantly over age. There was no significant effect of spatial
incompatibility for accuracy or anticipatory responses on this
task.
7. Discussion: compatibility effects
Based on our hypothesis that even very young children
can perform well when inhibition alone is taxed, we predicted
they would perform well even on the Incongruent trials of
EFTA01098887
ALC. Davidson a at. /Neuropsychologia 44 (2006)2037-2078 2047
the Pictures task, where memory demands were minimized.
Since we hypothesiz
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