TYPE
Original Research
12 July 2023
10.3389/fpsyg.2023.1146101
PUBLISHED
DOI
OPEN ACCESS
EDITED BY
Pamela Bryden,
Wilfrid Laurier University, Canada
REVIEWED BY
Mengmeng Zhang,
Minzu University of China, China
Angela Conejero,
University of Granada, Spain
*CORRESPONDENCE
How attention factors into
executive function in preschool
children
Aditi V. Deodhar 1* and Bennett I. Bertenthal 2
1
®
HANDS in Autism Interdisciplinary Training and Resource Center, Riley Hospital for Children at IU
Health, Department of Psychiatry, IU School of Medicine, Indianapolis, IN, United States,
2
Developmental Cognitive Neuroscience Lab, Department of Psychological and Brain Sciences, Indiana
University-Bloomington, Bloomington, IN, United States
Aditi V. Deodhar
[email protected]
RECEIVED 17
January 2023
June 2023
PUBLISHED 12 July 2023
ACCEPTED 08
CITATION
Deodhar AV and Bertenthal BI (2023) How
attention factors into executive function in
preschool children.
Front. Psychol. 14:1146101.
doi: 10.3389/fpsyg.2023.1146101
COPYRIGHT
© 2023 Deodhar and Bertenthal. This is an
open-access article distributed under the terms
of the Creative Commons Attribution License
(CC BY). The use, distribution or reproduction
in other forums is permitted, provided the
original author(s) and the copyright owner(s)
are credited and that the original publication in
this journal is cited, in accordance with
accepted academic practice. No use,
distribution or reproduction is permitted which
does not comply with these terms.
Executive Function consists of self-regulation processes which underlie our
ability to plan, coordinate, and complete goal-directed actions in our daily
lives. While attention is widely considered to be central to the emergence and
development of executive function during early childhood, it is not clear if it is
integral or separable from other executive function processes. Previous studies
have not addressed this question satisfactorily because executive function
and attention are multidimensional constructs, but they are often studied
without differentiating the specific processes that are tested. Moreover, some
studies consist of only one task per process, making it difficult to ascertain
if the pattern of results is attributable to different processes or more simply
to task variance. The main aim of this study was to more fully investigate
how attention factored into the underlying structure of executive function
in preschool children. Preschool children (n = 137) completed a battery of
tasks which included executive function (i.e., response inhibition, working
memory) and attentional control (i.e., sustained attention, selective attention)
processes; there were two tasks per process. Confirmatory factor analyses
(CFA) were conducted to test which of three models fit the data best: (1)
a unitary one-factor model with attention loading onto the same factor as
other executive function processes, (2) a two-factor model with attention
loading onto a separate factor than other executive function processes, or
(3) a three-factor model with attention, response inhibition, and working
memory as separate factors. Fit indices and model comparisons indicated
that the two-factor model fit the data best, suggesting that attentional
control and executive function were related, but separable. Although this
study is not the first to advocate for a two-factor model during the preschool
years, it is the first to suggest that the two factors are attentional control
and executive function, not working memory and response inhibition. One
important implication of these findings is that a complete assessment of
executive function during the preschool years necessitates measuring not
only response inhibition and working memory, but attentional control as well.
KEYWORDS
executive function, attention, attentional control, preschool development, confirmatory
factor analysis, factor structure
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10.3389/fpsyg.2023.1146101
1. Introduction
suggests that EF subdomains are related, but still distinct in preschool
children and exhibit different developmental trajectories throughout
childhood (Zelazo and Carlson, 2012). Consistent with this view,
several studies report that the tasks associated with response inhibition
and working memory load onto separate factors (González Osornio
and Ostrosky, 2012; Miller et al., 2012; Schoemaker et al., 2012; Lerner
and Lonigan, 2014).
An additional complication in conceptualizing the early structure
of EF arises from different forms of response inhibition. This
component is measured in both “hot” or emotionally laden contexts
where there is the presence of salient rewards or punishments, as well
as in “cool” or emotionally neutral contexts (Carlson, 2005). The
evidence is inconclusive with regard to whether these two forms of
response inhibition reflect a unitary factor (Sulik et al., 2010; Allan
and Lonigan, 2011) or distinct factors (Carlson et al., 2002; Willoughby
et al., 2011). In summary, the extant literature provides conflicting
results regarding whether EF is a unitary vs. multi-dimensional
construct in preschool children.
Some common explanations for these different conclusions are
related to “task impurity” and task differences between studies. “Task
impurity” refers to the fact that performance on EF tasks is not only
based on the purported EF subdomain, but other self-regulation
processes or nonexecutive skills (Nelson et al., 2016). For example,
children’s performance on Stroop-like tasks, which require children to
respond to a stimulus (e.g., sun) with a counterintuitive response (e.g.,
night), are not only dependent on the their ability to inhibit the
automatic response (e.g., sun goes with day), but also their ability to
pay attention to the new stimulus–response pairing in working
memory (Wiebe et al., 2008). It is also difficult to ascertain how other
task factors such as stimulus salience or response modality may
influence task performance (Miyake et al., 2000; Miller et al., 2012).
These considerations are most evident in studies which use only one
task/measure to assess an EF subdomain. In these cases, it is difficult
to know if the observed pattern of associations reflects the underlying
structure or something more idiosyncratic to the specific tasks. This
ambiguity is especially troubling when the study is designed to test
how different subdomains are related (Lerner and Lonigan, 2014).
One solution is to include multiple tasks/measures per subdomain and
then pool the common variance among the tasks/measures via
composite scores or factor analysis for a “purer” assessment of the
subdomain (Miyake et al., 2000; Wiebe et al., 2011).
Attention is widely viewed as pivotal to a central executive
(Baddeley, 2002; Kane and Engle, 2003) and is considered
foundational to the development of EF subdomains (Garon et al.,
2008). For example, selecting and sustaining attention toward
relevant information and inhibiting irrelevant information narrows
focus and creates an “attentional spotlight,” as well as enhances the
maintenance and processing of relevant information in working
memory, which has a limited capacity (Gathercole et al., 2008; Posner
and Fan, 2008). This close relationship between working memory and
sustained and selective attention is illustrated in studies which reveal
that preschool children with lower working memory capacity
perform worse on selective attention tasks (Espy and Bull, 2005) and
are more likely to exhibit attention problems in the classroom
(Gathercole et al., 2008). In addition, response inhibition is critical
for a child to successfully select and sustain attention on various
problem solving tasks, such as completing a puzzle (Allan et al.,
2015). More generally, children who perform better on response
Executive Function (EF) refers to self-regulation processes which
underlie our ability to plan, coordinate, and complete goal-directed
actions in our daily lives. EF emerges during infancy and undergoes
substantial development during the preschool years (Diamond, 2013;
Griffin et al., 2016). EF is considered foundational to development
since early individual differences are predictive of later cognitive/
academic performance (e.g., Fitzpatrick and Pagani, 2012) as well as
successful social interactions (e.g., de Wilde et al., 2016). Deficits in
EF are associated with developmental disorders including Autism
Spectrum Disorder (ASD) and Attention-Deficit/Hyper-Activity
(ADHD) (Ruff and Rothbart, 2001; Griffin et al., 2016). By now there
has been a good deal of research examining how EF quantitatively and
qualitatively changes as a function of age, with much consideration
given to how best to conceptualize the structure of EF throughout
childhood. While EF consists of multiple related dimensions in older
children and adults (Miyake et al., 2000; Lehto et al., 2003), it is still
not clear if EF is best conceptualized as a multi-dimensional or a
unitary construct during the preschool years (Lerner and Lonigan,
2014; Nelson et al., 2016).
Attention is widely considered the process common to all EF
subdomains, regardless of how the EF structure itself is conceptualized
(Kane and Engle, 2003; Posner and Rothbart, 2007; Garon et al., 2008),
It is well established that attention plays a central role in EF
development during the preschool years (Garon et al., 2008).
Consistent with this idea, previous studies demonstrate that facilitating
children’s attention by increasing the number of stimulus cues or their
duration improves children’s performance on EF tasks (e.g., Kirkham
et al., 2003; Bertrand and Camos, 2015). Yet, studying how attention
relates to EF in this manner does not directly address if children’s
attention is separate from EF or if their attention should be viewed as
integral to EF. Put another way, these studies do not indicate if
Attentional Control (AC) is an independent and separable factor from
EF or if attention is integrated with each dimension of EF in preschool
children. The main limitation in previous studies of attention is that
authors often overlook the fact that attention is not a monolithic
construct; AC involves multiple processes, including sustained and
selective attention (Fan et al., 2002; Posner, 2012). The main aim of the
current study is to examine the underlying latent structure of EF with
the inclusion of tasks directly assessing sustained and selective
attention in preschool children.
Executive Function consists of three related but distinct
subdomains: response inhibition (i.e., inhibition of a prepotent or
automatic response in order to make a target response), working
memory (i.e., maintenance and manipulation of information for a
short period of time), and set shifting (i.e., flexible shifting from one
task to another) in adults and older children (Miyake et al., 2000;
Lehto et al., 2003; Garon et al., 2008). It is not clear if this pattern
extends to preschool children. The prevailing view is that EF is an
undifferentiated construct during the preschool years which only
differentiates into the subdomains later in childhood (Nelson et al.,
2016). Consistent with this view, several studies report that response
inhibition and working memory are highly correlated and the tasks
used for measuring these subdomains load onto a single factor when
assessed via factor analysis (Hughes and Ensor, 2007; Wiebe et al.,
2008, 2011; Hughes et al., 2010; Welsh et al., 2010; Willoughby et al.,
2010; Visu-Petra et al., 2012; Nelson et al., 2016). The competing view
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inhibition tasks also tend to perform better on sustained attention
tasks (Reck and Hund, 2011). While these examples suggest some
functional relation between AC and specific EF subdomains in
preschool children, they neither confirm nor deny whether AC fits
into the underlying structure of EF. Critically, these studies are
limited to single measures of AC and EF, and thus it is difficult to
ascertain whether the reported covariations are a function of AC and
EF or merely a function of some other variable common to
both processes.
Studies that do include AC and multiple EF subdomains are
riddled with a number of confusions and inconsistencies. For instance,
Veer et al. (2017) found that children with better selective attention
exhibited superior working memory and response inhibition
concurrently and 6 months later. Nevertheless, other studies indicate
that the relation between attention and different EF subdomains may
not be so straightforward. For example, Lan et al. (2011) tested how
US and Chinese preschool children’s working memory and response
inhibition related to their performance on a visual search task. The
children’s working memory was related to visual search performance
in both countries, but response inhibition was related to visual search
performance only in China. Similarly, Lin et al. (2019) found that
performance on a sustained attention task (Continuous Performance
Task-CPT), was significantly correlated with one “hot” EF task, but
was only marginally correlated to a second “hot” EF task as well as to
the “cool” EF tasks. It is not clear if these inconsistent results are an
artifact of “task impurity” or task selection (Miller et al., 2012), or if
they signify true separability between attention and EF in preschool
children. This ambiguity may again result from study designs
including only one measure per subdomain, making it difficult to
know if children’s task performance reflects their attention and EF, or
something more specific to the task, such as stimulus salience or
domain knowledge (e.g., Griffin et al., 2016).
There have been several calls to design studies that include
multiple measures per subdomain to help ensure that studies are truly
assessing the desired subdomain (Veer et al., 2017; Lin et al., 2019).
Allan et al. (2015) examined how working memory, response
inhibition, and sustained attention were related by having three
measures per subdomain in a preschool sample. They found that EF
tasks (working memory and response inhibition) loaded onto a
different factor than sustained attention, suggesting some distinction
between EF and AC in preschool children. Critically, however, Allan
et al. (2015) focused exclusively on sustained attention and did not
include any assessment of selective attention. Thus, even this more
comprehensive study treated attention as a unitary construct, limiting
our knowledge of how attention may fit within the EF structure.
Even though many researchers have postulated that attention
regulates EF (Awh et al., 2006; Garon et al., 2008), the tendency to
assess AC as a monolithic construct limits our knowledge of how AC
relates to EF. One notable exception is the work by Posner, Rothbart
and colleagues who postulate that different components of AC are
associated with an attention network that develops gradually and leads
to EF changes in early childhood (Rueda et al., 2005; Posner and
Rothbart, 2007). Posner’s Attention Network Theory (Posner, 2012)
indicates that AC consists of three related but distinct subdomains in
adults: sustained attention (i.e., maintenance of a narrow focus on a
single object or event for a prolonged period of time), selective
attention (i.e., disengagement from one target in order to orient
toward another target), and executive attention (i.e., monitoring and
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resolving conflicting information). To more fully address how AC
factors into the latent EF structure, our study was informed by this
theory and included measures of both sustained and selective
attention (see discussion for reasons that executive attention was
not included).
While attention is often considered a central process in most
theories of EF during early childhood, there are very few studies
directly assessing different AC processes and testing how they
contribute to the underlying structure of EF. For quite some time there
has been a debate in the literature regarding whether executive
function is structurally consistent with one or two factors during the
preschool years (Griffin et al., 2016). Based on our review of the
literature, we believe that this debate is somewhat misguided. The
issue is not whether working memory and response inhibition are
separable subdomains, but rather whether attentional control and
executive function are separable subdomains. Critically, studies
suggesting that executive function during the preschool years consists
of two separable factors may have confounded measures of attentional
control with measures of either working memory or response
inhibition. For example, Lerner and Lonigan (2014) reported that
response inhibition and working memory were distinct factors, but
the tasks assessing response inhibition for the most part also involved
greater attentional demands than the working memory tasks. As such,
the response inhibition factor was confounded with children’s
attentional control. If this hypothesis is correct, then we should be able
to demonstrate that the tasks used for measuring executive function
are best explained in terms of two different factors, but not the two
factors that have been previously suggested. Instead, we predict that
one factor involves attentional control (selective and sustained
attention) and the other factor involves working memory and response
inhibition. Converging support for this hypothesis would be provided
if we are able to demonstrate that the two subdomains of working
memory and response inhibition are not differentiable during the
preschool years.
The main objective of the current study was to test how AC and
EF were related in preschool children between 3.5 and 5 years of age.
Specifically, we sought to identify the underlying structure of children’s
EF when including measures to also assess both sustained and
selective attention. To this end, preschool children completed a battery
of tasks associated with EF subdomains (i.e., response inhibition in
“cool” and “hot” settings, working memory) and AC processes (i.e.,
sustained attention, selective attention). Development of the study
design was based on a careful review of the literature and extensive
pilot testing to ensure that each subdomain had more than one
measure that was applicable to the entire age range while ensuring
considerable variability in children’s performance.
Confirmatory Factor Analyses were conducted to examine the
underlying structure in the current battery of EF and AC measures.
The main advantage of CFA over similar analytic techniques such as
Exploratory Factor Analysis (EFA) and Principal Component Analysis
(PCA) is that this method enables researchers to test pre-specified
latent structures based on theory and prior empirical studies (Nelson
et al., 2016; but see Hurley et al., 1997; Prudon, 2015). Further, CFAs
allow for model comparison that directly test which of two or more
competing models fit the data better. The utilization of CFAs has
steadily increased as more empirical studies investigate the underlying
EF structure at different stages throughout childhood (e.g., Lehto
et al., 2003; Wiebe et al., 2011; Miller et al., 2012; Lerner and Lonigan,
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2.2. Procedure
2014), allowing for increasingly more specific investigations and
inferences about how EF structure changes throughout childhood.
The current study was designed to add new insights into how
sustained and selective attention may influence this EF structure in
preschool children.
CFAs were conducted to test whether a one-factor model with all
EF and AC measures loaded onto the same factor fit the data better
than a two-factor model with all EF measures associated with one
factor and AC measures associated with a second factor. We predicted
that the two-factor model would fit the data better than the one-factor
model, aligning with Allan et al. (2015) and suggesting that AC is
separable from EF. Since there is some evidence in the literature that
EF subdomains (e.g., response inhibition, working memory) might
be separable in preschool children, an additional three-factor CFA was
conducted with response inhibition and working memory as separate
factors to see if this model fit the data better than the one-or two-factor
models. Given our hypothesis that previous studies (e.g., Lerner and
Lonigan, 2014) reporting working memory and response inhibition
as separable factors was due to failing to control for the confound
between these two processes and attentional control, we predicted that
the two-factor model combining response inhibition and working
memory as one factor and attentional control as the second factor
would be preferable to the three-factor model.
Children participated in one lab session lasting between 50
and 65 min. In order to keep children engaged and motivated, they
were shown a piece of paper with a snowman who needed to
retrieve his hat 10 paces away; each pace was demarcated by a
snowflake. Children were told that they could help the snowman
get one step closer to the hat with every task completed; they were
reminded to color in a snowflake after the completion of every
task. All children completed tasks in the same order: low-frequency
continuous performance task, spin the pots, visual search task,
circle/triangle, high-frequency continuous performance task, digit
span, flanker task, and wrapped gift; see below for task
descriptions. Participants were also allowed bathroom or snack/
water breaks between tasks as needed. All testing sessions were
conducted in a single room and were video recorded for
offline scoring.
2.3. Executive function tasks
2.3.1. Circle/triangle
The circle/triangle task was based on the day/night task
developed by Gerstadt et al. (1994) to assess children’s response
inhibition in a “cool” context. In this task, the experimenter
showed the child a picture of a circle and a triangle and asked the
child to label each shape. The experimenter then introduced a
“silly game” and instructed the child to say “triangle” when he saw
a picture of a circle and “circle” when he saw a picture of a triangle.
The pictures were presented in an ABBABAAB order to ensure
that they did not consistently alternate, and no picture was
presented more than twice in a row; there were a total of 16 trials.
The outcome measure was the proportion of trials where the
child’s first response was correct. Cohen’s kappa was 0.87 between
two scorers for 105 participants. It is important to note that
similar tasks are used to assess executive attention (e.g., Steele
et al., 2012), and thus could also be considered a measure of
attentional control.
2. Method
2.1. Participants
One hundred and thirty-seven preschool children (69 female,
M = 50.79 months, range = 41–60 months) participated in the study;
see Table 1 for number of participants per age range. The majority of
children participating in this study were Caucasian (83.94%), and the
remainder were either Asian-American (13.14%) or AfricanAmerican (2.92%). Parents reported their education level on a sevenpoint scale: 1 = did not complete high school, 4 = Associate’s degree or
equivalent 2 year undergraduate degree, 7 = completed a graduate
degree (M = 5.73, range = 2–7). All participants lived in a university
town in the Midwest. They were recruited from families who had
previously participated in developmental research studies in the
department, expressed interest at local community events, or from
word of mouth at preschools and local activities. All children included
in the study had no history of developmental delays (e.g., language
delay) or other significant medical issues (e.g., hearing or visual
difficulties, ASD, relative with ASD) based on parental report. The
study protocols were reviewed and approved by the Indiana University
Institutional Review Board (IRB). Parents provided written informed
consent before the start of the study session to participate in this study.
2.3.2. Wrapped gift
The wrapped gift task was adapted from Kochanska et al.
(2000) to assess response inhibition in a “hot” context. The child
was presented with a gift bag and was told there was an exciting
prize inside. The experimenter told the child she needed to get
tissue paper to make the gift bag ready and instructed the child
not to touch or peek inside the gift bag until she returned. The
experimenter left the testing room and returned with the tissue
paper after 4 min had elapsed. The outcome measure was a
composite of latency to touch the bag and latency to look inside
it. Cohen’s kappa was 0.94 for latency to first touch and 0.96 for
latency to first peek between two scorers for 105 participants. If
the bag was not touched or looked into, children received a
maximum score of 480 (corresponding to the sum of the total
number of elapsed seconds for both measures).
TABLE 1 Number of participants per age range.
Age range
Female
Male
Total
41–48 months
24
25
49
48–54 months
27
20
47
54–60 months
18
23
41
Total
69
68
137
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2.3.3. Spin the pots
The spin the pots task was adapted from Hughes and Ensor
(2005) and assessed children’s working memory for visual–spatial
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information. A rubber ducky was hidden under one of eight
distinctly colored cups turned upside down and arranged in a
circle on a lazy Susan tray. The experimenter then occluded the
hiding locations from the child’s view and spun the lazy Susan so
that each cup was in a new location relative to the child. The child
was then instructed to find the hidden rubber ducky. Each trial
ended when the child found the rubber ducky or failed to find the
rubber ducky after three attempts. There were eight trials in
which each colored cup was the hiding location for one trial. The
outcome measure was the proportion of correct trials in which
the child found the rubber ducky on the first search attempt.
Cohen’s kappa was 0.98 between two raters for 104 participants.
transportation (i.e., car, school bus, boat, plane, and train) on an
iPad or a touch-screen laptop controlled with the Paradigm
Experimenter software. Children were instructed to touch the
screen whenever they saw one of the target stimuli (i.e., all modes
of transportation but the car) and not touch the screen whenever
they saw the distractor stimuli (i.e., the car). Each mode of
transportation was presented for 1,200 ms and each ITI was
750 ms. There were 100 trials; a target was presented on 80% of
the trials and the car was presented on 20% of the trials; the entire
task lasted approximately 4 min. The outcome measure was
d-prime.
2.4.3. Visual search task
2.3.4. Digit span
The visual search task was adapted from Breckenridge et al.
(2013) and assessed children’s selective attention. The child saw an
array of twenty green apples and twenty red strawberries on an
iPad or a touchscreen laptop controlled with the Paradigm
Experimenter software. Each array also included one randomly
placed red apple, and the child was instructed to find and touch
the red apple on each trial. There were 32 trials and each trial
ended when the child found the red apple or 10 sec had elapsed;
the ITI was 3 sec. The outcome measures were accuracy and
reaction time. Since we dropped the second selective attention task
(flanker task), we decided to include two measures from the visual
search task to allow for CFA models to have two measures for
each process.
The digit span task was adapted from Davis and Pratt (1995)
and assessed children’s working memory for verbal information.
On each trial, the child listened to a one-to-seven-digit sequence
and was asked to repeat it. There were three trials per digit
sequence length, and trials progressed in a n + 1 order (i.e., three
trials for one-digit sequences, three trials for two-digit sequences,
etc.). The task stopped when the child responded incorrectly on
two of the three trials as it was assumed the child would respond
incorrectly on the remaining trials with longer digit spans. The
outcome measure was the proportion of trials with correct
responses out of the total number of trials that could have been
administered. Cohen’s kappa was 0.97 between two raters for
101 participants.
2.4.4. Flanker task
The flanker task was adapted from Rueda et al. (2004) and
assessed children’s selective attention (Breckenridge et al., 2013;
Senzaki et al., 2018). This task was excluded from analyses due to
insufficient data; see Supplementary material for further information.
2.4. Attentional control tasks
2.4.1. Low-frequency continuous performance
task
The low-frequency continuous performance task was adapted
from Corkum et al. (1995) and assessed children’s sustained
attention. The child saw a sequence of animals (i.e., cat, alligator,
dog, pig, or elephant) on an iPad or touchscreen laptop using the
Paradigm Experimenter software (Perception Research Systems,
Walnut Creek, California). The child was instructed to touch the
screen whenever he saw a cat and not touch the screen whenever
he saw any other animal. Each animal was presented for 1,200
milliseconds (ms) and each inter-trial interval (ITI) was 750 ms.
There were 100 trials with a cat presented on 20% of the trials;
the entire task lasted approximately 4 min. The outcome measure
was d-prime to control for response biases (Macmillan and
Creelman, 2005). It was calculated by subtracting the
z-transformed false alarm rate (i.e., the proportion of trials on
which the child touched the screen when an animal besides the
cat was present) from the z-transformed hit rate (i.e., the
proportion of trials on which the child touched the screen when
the cat was present).
3. Results
3.1. Descriptive statistics and correlations
Table 2 provides a summary of means, standard deviations,
ranges, skewness, and kurtosis for all EF and AC measures. There was
neither a floor nor ceiling effect for these tasks, which is often a
problem when testing children from 3 to 5 years of age. Table 3
summarizes the inter-correlations between all EF and AC measures
(see Supplementary material for confidence intervals). As can
be seen, most of the measures were significantly correlated, although
the correlations were generally moderate (most ranging between 0.06
and 0.39). Moreover, the pattern of these correlations was not clearly
consistent with EF and AC variables demonstrating either a unitary
or fractionated model based on the convergent and discriminant
validity of the results.
As can be seen in the last row of the correlation matrix in Table 3,
children’s performance on all except two of the measures (wrapped
gift and high-frequency CPT) improved with age. It should also
be noted that children who responded faster on the selective attention
task (visual search) were also more accurate (r(130) = −0.41,
p < 0.001), which thus precludes the possibility of a speed-accuracy
trade-off.
2.4.2. High-frequency continuous performance
task
The high-frequency continuous performance task was adapted
from Rezazadeh et al. (2011) and assessed children’s sustained
attention. The child saw a sequence of common modes of
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TABLE 2 Mean, standard deviation (SD), range, skewness, and kurtosis for executive function and attentional control measures.
Task
Measure
Mean (SD)
Range
Skewness
Kurtosis
Circle/Triangle
Proportion of correct responses
0.61 (0.32)
0.00–1.00
−0.66
−0.80
Wrapped gift
Composite of latency to first touch and first peek (sec)
374 (129)
17–480
−1.02
0.04
Spin the pots
Proportion of correct searches
0.64 (0.25)
0.00–1.00
−0.48
−0.47
Digit span
Proportion of correct responses
0.57 (0.11)
0.19–0.91
0.08
1.70
Low-frequency CPT
d-prime
3.35 (1.35)
0.36–7.44
−0.20
−0.13
High frequency CPT
d-prime
2.01 (1.23)
−1.76–5.68
0.65
1.11
Fruit visual search accuracy
Proportion of correct searches
0.70 (0.22)
0.13–1.00
−0.82
−0.20
Fruit visual search RT
Average reaction time on correct trials (ms)
4,853 (752)
2,967–7,283
0.26
0.24
LCP
HCP
VSA
VSR
TABLE 3 Correlation matrix of executive function and attentional control measures.
CT
CT
—
WG
0.18*
WG
StP
DS
—
StP
0.33***
0.19*
DS
0.28**
0.19*
0.36***
LCP
0.15
0.25**
0.29***
0.33***
HCP
0.06
0.23*
0.23**
0.09
VSA
0.11
VSR
−0.33***
Age
0.43***
0.27**
−0.20*
0.13
—
0.38***
−0.32***
0.39***
—
0.22*
−0.29**
0.36***
—
0.39***
—
0.56***
0.30***
−0.45***
−0.32***
0.28**
0.10
—
−0.41***
—
0.21*
−0.36***
Correlations with age appear on the last line. CT, Circle/Triangle; WG, wrapped gift; StP, spin the pots; DS, digit span; LCP, low-frequency continuous performance task; HCP, high frequency
continuous performance task; VSA, visual search accuracy; VSR, visual search reaction time. *p < 0.05, **p < 0.01, and ***p < 0.001.
3.2. Confirmatory factor analysis
Confirmatory Factor Analyses (CFA) were conducted to test
whether a one-factor model, a two-factor model (EF and AC), or a
three-factor model (response inhibition, working memory, AC) fit the
data the best. CFAs were run in R using the Lavaan package (Rosseel,
2012). A good model fit was determined using the following statistics:
chi-square test with non-significant values, root mean square error of
approximation (RMSEA) with values less than 0.08, standardized
root-mean square residual (SRSM) with values less than 0.05, TuckerLewis index (TLI), with values greater than 0.90, and the comparative
fit index (CFI) with values greater than 0.95 (Kline, 2011; Schumacker
and Lomax, 2016). Since the models were nested, chi-square
difference tests were conducted to compare which of the three models
fit the data best. If two models do not differ significantly, then the
simpler model is chosen due to its being more parsimonious
(Bollen, 1989).
Critically, the models were also compared using the Akaike
information criterion (AIC) which evaluates the best model not only
in terms of its predictability but also in terms of the number of
variables such that more complex models will not always constitute a
better fit (Akaike, 1987). Lower AIC values indicate better model fit
(Kline, 2011; Schumacker and Lomax, 2016).
The structure of the unitary one-factor model is presented in
Figure 1 and the two-factor model (EF and AC) is presented in
Figure 2. Table 4 provides a summary of fit statistics for the one-factor
Frontiers in Psychology
FIGURE 1
Model path diagram for executive function unitary one-factor model.
EF, executive function; CT, Circle/Triangle; WG, wrapped gift; StP,
spin the pots; DS, digit span; LCP, low-frequency continuous
performance task; HCP, high-frequency continuous performance
task; VSA, visual search accuracy; VSR, visual search reaction time.
Standard factor loadings and coefficients are shown; *p<0.05,
**p<0.01, and ***p<0.001.
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Deodhar and Bertenthal
10.3389/fpsyg.2023.1146101
and two-factor model. While some fit statistics indicated that the
one-factor model fit the data adequately (i.e., non-significant
chi-squared test, RMSEA was 0.06, TLI was 0.90), other fit statistics
did not (i.e., SRSM was 0.06, CFI was 0.93). By contrast, all the fit
statistics indicate that the two-factor model is a good fit: the chi
square was non-significant, the RMSEA was 0.04, SMSR was 0.05, the
TLI was 0.97, and the CFI was 0.98. The chi-square difference test
indicated that the two-factor model fit the data significantly better
than the one-factor model (x2(1) = 8.64, p < 0.001). The AIC was lower
for the two-factor model (3946.84) compared to the one-factor
model (3953.48). Therefore, the fit statistics and model comparisons
indicate that the two-factor model consisting of EF and AC is
preferable to the one-factor model. It is nevertheless worth noting
that the EF and AC factors are correlated (Figure 2), suggesting that
these two factors are related but separable in the current
preschool sample.
The three-factor model (response inhibition, working memory,
and AC; see Figure 3) fit statistics indicated that it fit the data
adequately (see Table 4): the chi-square test was not significant,
RMSEA was 0.05, SMSR was 0.05, the TLI was 0.95, and the CFI was
0.97. Critically, however, the chi-square difference test indicated that
the three-factor model did not fit the data significantly better than the
two-factor model (x2(1) = 0.08, p = 0.96). Therefore, the simpler
two-factor model was preferred (Bollen, 1989). Further, the AIC was
lower for the two-factor model (3946.84) compared to the three-factor
model (3950.76). It is worth noting that the response inhibition and
working memory are almost perfectly correlated (Figure 3), further
suggesting these two factors likely reflect the same underlying process.
In summary, the fit statistics, model comparisons and factor
correlations collectively indicate that the two-factor model consisting
of EF and AC is the preferred model for the current preschool sample.
4. Discussion
The primary aim of the current study was to examine whether EF
and AC are best characterized as a unitary or multi-factor model for
children between 3- and 5 years of age. Most prior studies examining
the structure of EF during the preschool years conclude that EF
conforms to a unitary and undifferentiated factor model (e.g., Wiebe
et al., 2008). AC is assumed to be implicit in all EF processes (Garon
et al., 2008), but the current results suggest that further testing is
needed before concluding a unitary model. We tested three different
models with children between 3.5 to 5 years of age, and the results
revealed that EF and AC were separable dimensions in a two-factor
model and that response inhibition and working memory were not
separable dimensions.
Critically, these results challenge the prevailing view that EF is
best conceptualized as a unitary construct during the preschool
period, but they also do not support the opposing view that has
appeared in the literature. Prior studies indicating that EF is a multidimensional construct typically report that response inhibition and
working memory represent different factors (e.g., Lerner and Lonigan,
2014). By contrast, this study suggests that EF and AC represent two
separable factors. We also tested a three-factor model that
differentiated response inhibition and working memory into separate
factors, but this three-factor model did not constitute a better fit of the
data. Although this latter finding is consistent with previous results
suggesting that response inhibition and working memory are not
FIGURE 2
Model path diagram for two-factor model (executive function,
attentional control). EF, executive function; AC, attentional control;
CT, Circle/Triangle; WG, wrapped gift; StP, spin the pots; DS, digit
span; LCP, low-frequency continuous performance task; HCP, highfrequency continuous performance task; VSA, visual search
accuracy; VSR, visual search reaction time. Standard factor loadings
and coefficients are shown; *p<0.05, **p<0.01, and ***p<0.001.
TABLE 4 Fit statistics for one-factor (executive function), two-factor (executive function and attentional control), and three-factor (response inhibition,
working memory, and attention control) models based on confirmatory factor analyses; preferred model is italicized.
Model
comparison
x2
difference
(p value)
df
difference
3946.84
Model 1 vs. Model 2
8.64 (p < 0.001)
1
3950.76
Model 2 vs. Model 3
0.08 (p < 0.96)
1
x2 (value of p)a
df
RMSEAb
SRSMc
TLId
CFIe
AICf
Unitary (1)
30.67 (p = 0.06)
20
0.06
0.06
0.90
0.93
3953.48
EF and AC (2)
22.03 (p = 0.28)
19
0.04
0.05
0.97
0.98
RI, WM, AC (3)
21.95 (p = 0.19)
17
0.05
0.05
0.95
0.97
Model
a
Chi-square test; nonsignificant value of p indicates good fit.
b
Root mean square error of approximation; values less than 0.08 indicate good fit.
c
Standardized root-mean square residual; values less than 0.05 indicate good fit.
d
Tucker-Lewis index; values greater than 0.90 indicate good fit.
e
Comparative fit index; values greater than 0.95 indicate good fit.
f
Akaike information criterion; lower values indicate better fit when comparing models.
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Deodhar and Bertenthal
10.3389/fpsyg.2023.1146101
of EF and AC (e.g., Allan et al., 2015). As such, seemingly contradictory
conceptualizations regarding the structure of EF and AC may simply
be a function of studies focusing on different questions.
Aside from questions concerning the structure of AC and EF, it is
important to appreciate that the ability to successfully plan and
complete typical activities most likely depends on the ability to
efficiently coordinate multiple EF and AC processes. For example, a
child needs to first select and then sustain attention on a book or
movie before encoding the plot and characters in working memory.
Likewise, children may need to keep homework instructions in
working memory and simultaneously inhibit the desire to partake in
a more desirable activity (e.g., video games) to sustain attention long
enough to complete their math homework. The key may not be to
simply perform well on EF and AC subdomains and tasks in isolation,
but to be able to flexibly coordinate different subdomains as the
context changes (Garon et al., 2008).
We focused our study on specific EF processes (response
inhibition, working memory) and AC processes (sustained attention
and selective attention), but it is worth noting that we excluded other
EF and AC processes found in the preschool literature. Specifically,
the current study did not include executive attention proposed by
Posner and colleagues or set shifting, sometimes referred to as
cognitive flexibility, from the EF literature. It was key to our study to
include more than one task per process; we were concerned that
including any more tasks would fatigue preschool children’s patience
and potentially compromise their performance. We decided not to
include executive attention and set shifting since tasks assessing
these processes during the preschool years are functionally very
similar to each other, as well as to “cool” response inhibition tasks.
As one example, Breckenridge et al. (2013) assessed executive
attention using a task adapted from the Day/Night task (as we did
for our “cool” response inhibition task). They also included an
adapted version of the Wisconsin card sorting task, which is often
used in the preschool literature to assess set shifting/cognitive
flexibility and requires children to inhibit an old rule in favor of
following a new rule which is akin to other “cool” response inhibition
tasks (Diamond, 2013; Doebel and Zelazo, 2015). As another
example, the flanker task can also be considered an index of
executive attention (Ruff and Rothbart, 2001) and cognitive
flexibility (Griffin et al., 2016). We therefore decided to focus on EF
and AC processes and tasks with less overlap to more directly test
how attention factored into the underlying structure of EF in
preschool children.
Although we have focused thus far on the results derived from
the confirmatory factor analysis, a few of the correlational results
merit further discussion. First, children’s performance on all but two
tasks improved with age, confirming that both EF and AC are
developing during the preschool years (Ruff and Rothbart, 2001;
Garon et al., 2008; Griffin et al., 2016). Second, there is some debate
as to whether “cool” and “hot” response inhibition represent a
unitary or separable processes (Sulik et al., 2010; Allan and Lonigan,
2011). Performance on the “cool” circle/triangle task did improve
with children’s age, while performance on the “hot” wrapped gift did
not. These results suggest that the two exhibit different developmental
trajectories (Zelazo and Carlson, 2012). Still, there was also a very
modest, but significant correlation between the “cool” circle/triangle
and “hot” wrapped gift, suggesting that the two are not entirely
independent. Therefore, the results suggest that performance on
FIGURE 3
Model path diagram for three-factor model (response inhibition,
working memory, attentional control). RI, response inhibition,
working memory; AC, attentional control; CT, Circle/Triangle; WG,
wrapped gift; StP, spin the pots; DS, digit span; LCP, low-frequency
continuous performance task; HCP, high-frequency continuous
performance task; VSA, visual search accuracy; VSR, visual search
reaction time. Standard factor loadings and coefficients are shown;
*p<0.05, **p<0.01, and ***p<0.001.
separable processes during the preschool years, our results clearly do
not imply that EF itself is a unitary construct. Instead, the current
results demonstrate that AC is separable from EF, and therefore
suggests that it is important to include direct assessments of AC to
fully test the structure of EF during this period of development.
What are the implications of these findings? First, attention is not
fully integrated with other EF processes for preschool children, and
we cannot simply assume that attention is common to all EF
processes. It is instead important to include direct assessments of
attention to examine how it influences EF development throughout
early childhood. Second, AC processes continue to develop during
the preschool years (Ruff and Rothbart, 2001), which will
differentially influence children’s performance on EF tasks with
different attentional demands. These points are especially important
when considering EF as an indicator of children’s school readiness
and academic performance (e.g., Micalizzi et al., 2019; Nguyen and
Duncan, 2019) because the current findings suggest that a complete
assessment of school readiness should include measures of both AC
as well as EF.
It is also important to appreciate that there are multiple AC
processes (e.g., sustained attention, selective attention) that are
associated with different EF subdomains, such as the allocation of
attention toward different representations in memory or shifting
attention to inhibit a pre-potent response (Putnam et al., 2002). As
such, there is no one-to-one relation between EF and AC, because
there are multiple modes of operation within each of these attentional
systems (Awh et al., 2006). Distinguishing between different models
of EF is partially dependent on the focus of the study and chosen
analytic method (Miller et al., 2012). Whereas studies examining the
associations between specific AC and EF subdomains highlights the
commonality between the two (e.g., Espy and Bull, 2005), studies
examining the underlying structure may highlight the distinctiveness
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Deodhar and Bertenthal
10.3389/fpsyg.2023.1146101
Ethics statement
“hot” and “cool” response inhibition tasks are related, but
nevertheless they are sufficiently separable that they follow different
developmental trajectories (Hongwanishkul et al., 2005; Willoughby
et al., 2011).
The studies involving human participants were reviewed and
approved by Indiana University Institutional Review Board (IRB).
Written informed consent to participate in this study was provided by
the participants’ legal guardian/next of kin.
4.1. Limitations and future directions
Author contributions
While the current study offers new and important insight into
how EF and AC are related during the preschool years, there remain
a few caveats. First, this pattern of results was based on a sample
drawn primarily from middle socio-economic status (SES) families.
Prior results indicate that SES interacts with both EF and AC in
early childhood (e.g., Watts et al., 2018) and that children from
different backgrounds may exhibit different patterns of relations
between EF and AC subdomains (Chang and Burns, 2005; Lan
et al., 2011). Second, the size of the sample precluded our ability to
classify children into different age groups to test whether the
structure of the EF and AC subdomains may also develop and
change during the preschool years (e.g., Breckenridge et al., 2013).
Third, the exclusion of the second selective attention task (flanker
task) compromised our ability to reliably test whether selective and
sustained attention processes represent one factor or two in
preschool children (Hrabok et al., 2007; Steele et al., 2012;
Breckenridge et al., 2013). As we discussed in the introduction, it is
not possible to distinguish between task and construct factors when
the results are limited to one task. Lastly, we included only one
“hot” and one “cool” response inhibition tasks in our protocol, and
thus any suggestions regarding the unitary vs. separable structure
of these tasks are tentative at best. It will be important for future
studies to examine how multiple EF and AC subdomains and tasks
are related in a larger, more diverse sample of preschool children.
It also remains to be seen whether EF and AC become more
separable or integrated in children beyond the preschool period.
AD and BB were both responsible for the conceptualization and
design of the study. AD completed data collection and all statistical
analyses. AD wrote the manuscript and BB provided critical oversight
and feedback. All authors contributed to the article and approved the
submitted version.
Funding
This research was supported with funding from the US Army
Research, Development and Engineering Command Acquisition
Center (W911NF-13-2-0045).
Acknowledgments
Portions of these data were previously presented at the biennial
meetings of the Society for Research on Child Development (SRCD),
Baltimore MD, 2019 and the Annual Meeting of the Cognitive
Science Society, Toronto, Canada, 2022. This study was also part of
the first author’s dissertation. The authors would like to thank the
children and parents who participated, and Jennifer Meyer, Allison
Higgs, Adefolarin (Fola) Alade, and Oyun-Erdene Chingis for
assistance with participant recruitment, stimulus creation, and
data scoring.
5. Conclusion
Conflict of interest
Attention is central to the emergence and development of EF
during early childhood (Garon et al., 2008), but direct assessments of
AC are not usually included when examining the underlying structure
of EF in preschool children. We did so in the current study and found
that AC is separable from EF subdomains in children from three to five
years of age. This study thus highlights the importance of including
direct assessments of multiple AC subdomains to investigate and
understand how the structure of EF changes during the preschool years.
The implications of these findings are important for better
understanding the development of executive function and attentional
control, as well as providing new insights into how variations in EF and
AC may operate in developmental disorders (e.g., Otterman et al., 2019).
The authors declare that the research was conducted in the
absence of any commercial or financial relationships that could
be construed as a potential conflict of interest.
Publisher’s note
All claims expressed in this article are solely those of the authors
and do not necessarily represent those of their affiliated organizations,
or those of the publisher, the editors and the reviewers. Any product
that may be evaluated in this article, or claim that may be made by its
manufacturer, is not guaranteed or endorsed by the publisher.
Data availability statement
Supplementary material
The datasets presented in this study can be found in online
repositories. The names of the repository/repositories and accession
number(s) can be found at: Open Science Framework, https://osf.
io/8wxt9/ (DOI: 10.17605/OSF.IO/8WXT9).
Frontiers in Psychology
The Supplementary material for this article can be found online
at: https://www.frontiersin.org/articles/10.3389/fpsyg.2023.1146101/
full#supplementary-material
09
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10.3389/fpsyg.2023.1146101
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