36
TSpace Research Repository tspace.library.utoronto.ca Independent Development of Imagination and Perception of Fitts’ Law in Late Childhood and Adolescence Emma Yoxon and Timothy N. Welsh Version Post-print/accepted manuscript Citation (published version) Yoxon, E., & Welsh, T. N. (2018). Independent Development of Imagination and Perception of Fitts' Law in Late Childhood and Adolescence. Journal of motor behavior, 50(2), 166-176. Publisher’s Statement This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Motor Behavior on 6-23-2017, available online: http://www.tandfonline.com/ 10.1080/00222895.2017.1327408 How to cite TSpace items Always cite the published version, so the author(s) will receive recognition through services that track citation counts, e.g. Scopus. If you need to cite the page number of the author manuscript from TSpace because you cannot access the published version, then cite the TSpace version in addition to the published version using the permanent URI (handle) found on the record page. This article was made openly accessible by U of T Faculty. Please tell us how this access benefits you. Your story matters.

Independent Development of Imagination and Perception of …...Data demonstrating Fitts’ law in action imagination and perception suggests that these processes share a common mechanism

  • Upload
    others

  • View
    1

  • Download
    0

Embed Size (px)

Citation preview

  • TSpace Research Repository tspace.library.utoronto.ca

    Independent Development of Imagination

    and Perception of Fitts’ Law in Late Childhood and Adolescence

    Emma Yoxon and Timothy N. Welsh

    Version Post-print/accepted manuscript

    Citation

    (published version)

    Yoxon, E., & Welsh, T. N. (2018). Independent Development of

    Imagination and Perception of Fitts' Law in Late Childhood and Adolescence. Journal of motor behavior, 50(2), 166-176.

    Publisher’s Statement This is an Accepted Manuscript of an article published by Taylor

    & Francis in Journal of Motor Behavior on 6-23-2017, available online: http://www.tandfonline.com/

    10.1080/00222895.2017.1327408

    How to cite TSpace items

    Always cite the published version, so the author(s) will receive recognition through services that track

    citation counts, e.g. Scopus. If you need to cite the page number of the author manuscript from TSpace because you cannot access the published version, then cite the TSpace version in addition to the published

    version using the permanent URI (handle) found on the record page.

    This article was made openly accessible by U of T Faculty.

    Please tell us how this access benefits you. Your story matters.

    https://tspace.library.utoronto.ca/feedback

  • This is an Author’s Original Manuscript of an article published by Taylor & Francis in The

    Journal of Motor Behaviour on 23/06/2017, available online:

    http://www.tandfonline.com/10.1080/00222895.2017.1327408

    Independent Development of Imagination and Perception of Fitts’ Law in Late Childhood

    and Adolescence

    Emma Yoxon and Timothy N. Welsh

    Faculty of Kinesiology & Physical Education, Centre for Motor Control

    University of Toronto, Toronto, ON, Canada

    RUNNING HEAD: Imagination and Perception Development

    KEY WORDS: development, mental chronometry, motor imagery, perception

    http://www.tandfonline.com/10.1080/00222895.2017.1327408

  • Imagination and Perception Development 2

    Abstract

    Data demonstrating Fitts’ law in action imagination and perception suggests that these processes

    share a common mechanism. Research has revealed that children demonstrate Fitts’ speed-

    accuracy trade-off in imagined actions, and that imagined movement time (MT) becomes more

    similar to actual MT as age increases. The relationship between execution, imagination and

    perception has yet to be evaluated in children. The current study assessed how imagined and

    perceived MT related to actual MT in children and adolescents. It was found that imagined MT

    was longer than execution MT across all the age ranges. Perception MT was lower than

    execution MT for children and was more consistent with execution MT for adolescents. These

    results reflect potential mechanistic differences in action imagination and perception.

  • Imagination and Perception Development 3

    Introduction

    When humans attempt a motor skill, they may first imagine the action and its outcome.

    Accordingly, it is thought that the human brain can simulate the internal components of actions

    without actually producing any external movements. For instance, many athletes use

    visualization or mental practice as a training tool to mentally take themselves through a routine

    or a game without the need for actual physical practice. It is thought that such simulation and

    mental practice is an effective training tool because it has been demonstrated that when an

    individual imagines themselves performing an action, they activate a neural network that is

    similar to the one that is involved in actual movement execution (Hétu et al., 2013; Jeannerod,

    2001; Munzert, Lorey, & Zentgraf, 2009). In this sense, it is thought that the brain is effectively

    simulating the internal components of movement by activating the neural codes that generate

    action offline without leading to overt movement.

    This concept of action code-based simulation has been extended beyond the explicit

    imagination of action and has been implicated as a more implicit mechanism that unifies the

    processes that help us perceive and understand our own actions and the actions of others

    (Jeannerod, 2001). In action observation and possibility judgements, for example, it is thought

    that the neural simulation of action allows an individual to map an observed movement onto their

    own motor system and capabilities, allowing the individual to make accurate judgements about

    how possible a given movement is to complete (Chandrasekharan, Binsted, Ayres, Higgins, &

    Welsh, 2012; Grosjean, Shiffrar, & Knoblich, 2007; Welsh, Wong, & Chandrasekharan, 2013).

    These processes are often referred to as “action perception”. Furthermore, because of the

  • Imagination and Perception Development 4

    important role that motor simulations play in perceiving and understanding actions, there has

    been growing research in how simulation processes emerge in childhood. Importantly, the

    mirroring of others’ actions via motor simulations is thought to play an important role in how

    young children learn to link gestures and movements with their meanings and effects (Paulus,

    Hunnius, & Bekkering, 2013; Paulus, Hunnius, Vissers, & Bekkering, 2011a, 2011b).

    Neural simulation of action

    Evidence for neural motor simulation in action imagination and perception has been

    broadly drawn from neurophysiological and behavioural studies that have reported that the motor

    system is active in and constrains action imagination and perception. First, neuroimaging studies

    have clearly demonstrated that when participants imagine themselves performing movements,

    there is activation of a neural network that overlaps with that of actual execution (e.g., Stippich,

    Ochmann, & Sartor, 2002; see Hétu et al., 2013 for a meta-analysis and comprehensive review).

    Additionally, many studies have employed transcranial magnetic stimulation (TMS) to study

    changes in the excitability of the corticospinal tract while individuals imagine themselves

    performing actions. These studies find that when individuals imagine themselves performing an

    action, there is a quantifiable increase in excitability of the corticospinal tract, which suggests

    that the motor system is active during action imagination (e.g., Clark, Tremblay, & Ste-Marie,

    2004; see Munzert et al., 2009 for review). Similar neurophysiological results have been found

    for action perception, wherein previous research has demonstrated that various aspects of the

    motor system are active when an individual is making judgements about a movement (Eskenazi,

    Rotshtein, Grosjean, & Knoblich, 2012). Importantly, it has also been demonstrated that there is

    considerable overlap in the cortical areas shown to be active in action imagination, perception

  • Imagination and Perception Development 5

    and execution, suggesting that these processes are in fact part of a singular representational

    domain (Grèzes & Decety, 2001).

    Behaviourally, evidence for common neural substrates underlying action execution,

    imagination and perception (and therefore motor simulation) has been drawn from

    demonstrations of the temporal similarities between these three processes. Specifically, many

    previous studies have demonstrated the presence of Fitts’ law (Fitts, 1954) in imagined and

    perceived movement times (MTs) of cyclical aiming movements. Fitts’ law is a mathematical

    equation that describes the relationship between the lowest MTs possible to maintain accuracy

    and the difficulty of the manual aiming movements. It can be described by the formal equation:

    MT = a + b(ID), where “a” and “b” are constants relating to an individual’s base MT and their

    unit increase in MT as a function of the index of difficulty (ID), respectively. The ID component

    of this equation can be further broken down as ID = log 2(2A/W), where A is the movement

    amplitude between a pair of targets (centre-to-centre distance between the targets) and W is the

    width of the targets. Essentially, in a task that requires an individual to touch back and forth

    between a target pair, the shortest possible MT in which the person can maintain accuracy will

    increase as a function of both movement amplitude and target width (the index of movement

    difficulty - ID).

    Decety and Jeannerod (1995) first demonstrated the relationship between speed-accuracy

    trade-offs in imagination in a study of the walking paths of their participants. The researchers

    asked individuals to imagine themselves walking towards door openings that varied in their

    distance to the participant and in the width of the opening. Critically, participants demonstrated

    Fitts’ law in their imagined walking paths. Specifically, participants’ imagined walking paths

    were slower when the door opening was narrower and the walking path was longer. Since this

  • Imagination and Perception Development 6

    original experiment, this result has been corroborated and extended to manual movements

    similar to Fitts’ original aiming task (Sirigu et al., 1995; Wong, Manson, Tremblay, & Welsh,

    2013; Young, Pratt, & Chau, 2009; Yoxon, Tremblay, & Welsh, 2015).

    This principle of speed-accuracy trade-offs has also been demonstrated in action

    possibility judgements. In these studies, individuals are asked to decide on the possibility of an

    aiming movement being executed accurately when it is shown at a given speed. It has been

    repeatedly shown that participants choose MTs that are consistent with Fitts’ law; that is, the

    lowest MT they judge as being possible to accurately complete the movement increases as the ID

    of the observed movement increases (Chandrasekharan et al., 2012; Grosjean et al., 2007; Welsh

    et al., 2013; Wong et al., 2013). Together, the results of these studies demonstrate that there is

    congruency in the temporal aspects of executed, imagined, and perceived action which suggests

    again that these processes share a common representational network and involve similar neural

    mechanisms.

    Action simulation in children

    In recent years, there has also been interest in how action simulation emerges in

    childhood. Developmental motor imagery research is similar to research that has been done in

    adults in that it has focused on the increasing congruence of actual and imagined MTs across

    childhood development (Gabbard, 2009). The results of this research suggest that simulation

    processes are likely formed in early childhood as evidenced by the presence of Fitts’ law in the

    imagined movements of young children aged approximately seven years; although this

    relationship is more evident in older children and adolescents(Caeyenberghs, Tsoupas, Wilson,

    & Smits-Engelsman, 2009; Caeyenberghs, Wilson, van Roon, Swinnen, & Smits-Engelsman,

  • Imagination and Perception Development 7

    2009). Cross-sectional studies have also revealed that imagined MTs become closer to actual

    execution MTs as a child ages, becoming closer to the congruence between these measures seen

    in adults as children approach adolescence, suggesting that there is ongoing refinement of action

    simulation processes in childhood (approximately six-to-eleven years) (Caeyenberghs, Wilson, et

    al., 2009; Smits-Engelsman & Wilson, 2013). Some studies have also demonstrated

    developmental differences in the temporal consistency of action imagination between

    adolescents and adults (Choudhury, Charman, Bird, & Blakemore, 2007a, 2007b) although

    studies with larger age spans of six to nineteen years (Caeyenberghs, Wilson, et al., 2009; Smits-

    Engelsman & Wilson, 2013) suggest that these changes are more subtle compared to the changes

    seen from early to late childhood and just prior to adolescence.

    Interestingly, while developmental aspects of motor imagery have been relatively well

    characterized, there has been little focus in developmental changes in the perception and

    possibility judgment of human movement. There is some evidence that the motor system is likely

    engaged in the imitative processes that are central to motor learning in infancy and toddlerhood

    (Paulus et al., 2011b) as well as evidence of action co-representation (the representation of an

    observed action in one’s own motor system) in early childhood (Marshall, Bouquet, Thomas, &

    Shipley, 2010; Saby, Marshall, Smythe, Bouquet, & Comalli, 2011). Although the results of this

    previous research again demonstrate that motor simulation processes are likely intact at a young

    age, it remains largely unknown how perceptions of action change as a child’s own motor

    repertoire changes.

    Therefore, the purpose of the current experiment was to evaluate changes in the temporal

    similarity of action possibility judgements with actual MT as a function of age and to assess

    differences or similarities in the developmental trajectories of action possibility judgements and

  • Imagination and Perception Development 8

    motor imagery. To address this purpose, an experimental paradigm employing action possibility

    judgements similar to that of Grosjean, Shiffrar and Knoblich (2007) and a mental chronometry

    paradigm similar to those of Wong et al. (2013) and Yoxon et al. (2015) was used. Children

    between the ages of seven and sixteen, as well as a control group of adults executed aiming

    movements to target pairs with varying accuracy demands. Imagination and perception tasks

    employed the same target pairs. It was hypothesized that MTs in action perception, imagination

    and execution would conform to Fitts’ law, as action simulation processes should be initially

    developed before the age of seven. Of greater theoretical relevance, specific predictions involved

    comparisons across the different tasks. If action perception and imagination share a common

    representational domain and action simulation is an underlying mechanism for both action

    possibility judgements and imagination, then these processes should develop in similar ways.

    Specifically, MTs in both action imagination and action possibility judgements should approach

    actual execution MTs with age. If this is not the case, it is possible that these processes may have

    different underlying mechanisms that develop independently of each other.

    Methods

    Participants

    Thirty-four children between the ages of seven and sixteen (24 Male, 10 Female) and 11

    young adults (2 Male, 9 Female, Mean Age = 22.4) were recruited for the study. Two male

    children participants were removed because it was disclosed to the experimenter subsequent to

    testing that they were diagnosed with unspecified developmental and learning disabilities that

    may have impacted motor skills and comprehension of task instructions. All other participants

    were reported to be typically developing and had normal or corrected-to-normal vision.

  • Imagination and Perception Development 9

    Handedness was collected using a modified version of the Edinburgh Handedness Questionnaire.

    All participants, with the exception of two children, were right handed. One of these participants

    was left-handed and the other reported no distinct preference for activities of daily living. All

    participants provided informed assent and their parents or guardians provided informed consent

    prior to testing. All procedures were approved by the University of Toronto Research Ethics

    Board.

    Study Design and Tasks

    The design of the present study was based on previous studies (Chandrasekharan et al.,

    2012; Grosjean et al., 2007; Wong et al., 2013). Participants completed action execution,

    imagination and perception tasks. The execution task was always performed first, followed by

    the remaining two tasks. This order was specifically chosen because previous research has

    demonstrated the effect of experience on perceived and imagined MTs (Chandrasekharan et al.,

    2012; Wong et al., 2013; Yoxon et al., 2015). Specifically, it has been found that perceived and

    imagined MTs more accurately reflect actual execution MTs after task-specific experience. This

    increased consistency may reflect experience-based refinement of internal action simulations and

    occurs because participants are able to link the perceptual effects of an action with the actual

    motor experience during practice. These more closely linked representations of action and effect

    can then facilitate imaginations that are more temporally similar to actual execution MTs.

    Because of the observed benefit of experience on perception and imagination, the execution task

    was performed first to: 1) avoid any variance in the data due to differences in task experience

    that a random or completely counterbalanced order would have provided; and 2) give each

    individual experience with the execution of the task thereby the best capability of demonstrating

    accurate imagination and perception. Essentially, the execution task was performed prior to the

  • Imagination and Perception Development 10

    other two tasks to equate all individuals on task-specific experience. Any observed

    developmental differences in perception and imagination tasks can therefore be more closely

    equated to differences in age and not differences in previous experience with similar tasks.

    Although the execution was always performed first, the imagination and perception tasks

    were counterbalanced to ensure there were no effects of execution experience just prior to

    completing either of these tasks. To confirm that this was not the case prior to the main analysis,

    the effect of order in these two tasks was assessed by carrying out a 2 (task: imagination,

    perception) by 2 (order: imagination first, perception first) mixed ANOVA with repeated

    measures on the task variable on imagined and perceived MTs. Although there was a main effect

    of task, F(1,41) = 96.097, p < .01, there was no significant effect of order, F(1,41) = .048, p =

    .827, or task by order interaction, F(1,41) = .551, p = .462. These results indicate that there was

    no significant effect of task order in relation to imagined or perceived MTs.

    Participants were tested individually, under the direct supervision of the experimenter. In

    each of the tasks, data collection only proceeded when the experimenter had confirmed that the

    participant understood the task. The overall time in testing was between 30 and 45 minutes.

    All tasks were performed using a touch screen monitor (3M™ MicroTouch™ Display,

    473.8mm (W) x 296.1 mm (H)). In all of the tasks, six sets of two targets varying in target width

    and movement amplitude were used. The targets were one of two widths: 2.5 cm or 3.5 cm. The

    centre-to-centre measurement (movement amplitude) for a given movement context was one of

    7.5 cm, 15 cm or 30 cm for the 2.5 cm target. For the 3.5 cm target, the centre-to-centre

    measurement was one of 10.5 cm, 21 cm or 42 cm. These combinations generated two target

  • Imagination and Perception Development 11

    pairs for each of the IDs: 2.6, 3.6 and 4.6. The combination of target width and movement

    amplitude remained consistent throughout a specific trial.

    Execution Task. Participants were seated comfortably in front of a table upon which the

    touch screen monitor rested. In a given trial, they were presented with one of the six target pairs.

    Beginning with the index finger of their dominant hand on the right side target, participants were

    asked to perform ten continuous pointing movements as quickly and accurately as possible

    between the two targets. One movement was from the right to the left target and the next from

    the left to the right target. They were told that they must move as quickly as possible but that

    they must also try to always land “on the line” (i.e., within the target). This sequence was

    repeated three consecutive times for each target pair for a total of 30 movements per target

    condition. Prior to the experimental trials, the experimenter gave the task instructions and

    participants experienced three practice trials, during which they had the opportunity to ask the

    experimenter questions about the task and the experimenter could confirm their understanding of

    the task demands.

    The order of the target combinations was randomized. The accuracy (spatial coordinates

    of screen contact) and the time to complete the movements were recorded, by the custom

    program, which also displayed the stimuli for analysis offline. A single mean MT was calculated

    for each of the six combinations of target width and movement amplitude. Erroneous trials where

    there was clearly either computer or human error (a touch recorded on the same side of space

    two times in a row or where the touch screen failed to record a touch) were removed prior to

    calculation of the mean MT for each target pair. Additionally, touches that fell beyond 35 px

    (approximately 1 cm) of the target were considered errors and were also removed at this point.

  • Imagination and Perception Development 12

    These procedures resulted in the removal of approximately 4.3% (erroneous trials) and 0.7%

    (error) of the individual touches in the execution data overall.

    Imagination Task. The experimental set up was consistent with that of the execution

    task. In a given trial, participants were presented with one of the six target pairs. They began

    with the index finger of their dominant hand on the right side target and imagined executing ten

    pointing movements between the targets as quickly and accurately as they could execute the

    movements in real time. Similar to the execution task, participants were asked to imagine their

    finger moving as quickly as it did in “real life” and to imagine themselves always landing “on

    the line” (i.e., on the target). Participants were asked to perform the imagination from an internal

    (first person) perspective. They were instructed to lift their finger off the monitor (a maximum of

    about 5 cm) for the time required to imagine the movement and then place their finger back onto

    the monitor after imagining the movements. They were also instructed that the finger lift should

    occur when they imagined their finger lifting off for the first time and the placing of the finger

    back onto the monitor should occur when they imagined their finger returning to the right side

    target on the tenth movement. This sequence was repeated three times for each target pair for a

    total of 30 imagined movements.

    Prior to experimental trials, participants experienced three practice trials during which

    they had the opportunity to ask the experimenter questions about the task and the experimenter

    could confirm the participant’s understanding. The order of the target pairs was randomized. The

    total time required to complete the imagination (from finger lift to contact with the touch screen)

    was recorded for analysis. A mean MT was calculated for each of the target pairs and this mean

    time was derived by dividing the total imagination time by ten to provide a mean MT for each

    target pair in a given trial. Trials where there was either computer or human error (where the

  • Imagination and Perception Development 13

    touch screen failed to register a touch or the participant admitted to improperly performing the

    task) were flagged throughout testing and were removed prior to analysis. This process resulted

    in the removal of approximately 2% of the imagination data.

    Perception Task. Participants were seated as in the other two tasks. In the perception

    task, the touch screen monitor presented two digital photographs of the hand of a young adult

    woman performing the execution task from an internal or first-person perspective: the first

    picture was of a person with their right index finger on the right side target and the second

    picture was of the finger on the left side target (see Figure 1). These photos were presented

    alternately to create the apparent motion of the model in the photographs moving between the

    two targets. In a given trial, the photos were presented at one of eleven different stimulus onset

    asynchronies (SOAs) ranging between 120 ms and 520 ms. The SOA remained constant within a

    trial and the trial ended when the participant’s response was recorded. Participants were asked to

    judge if it is possible for them to maintain accuracy while moving at the shown speed.

    Specifically, they were told that the task was to decide if it was possible or impossible to move

    as fast as the hand is moving and still be able to land “on the line” (i.e., to land accurately on the

    targets). They were told to pick the best answer (possible or impossible) for their own

    performance. Participants would verbally tell the experimenter, “yes” or “no”, if they thought the

    movement was possible or impossible to move at the given MT, respectively.

    Prior to testing, participants were shown 3 practice trials, two of which represented the

    extremes of the SOA/target pair combinations (a high difficulty with the fastest possible

    movement and a low difficulty with the slowest possible movement) and the other was a target

    pair with ID = 2.6 at SOA = 200 ms to represent a trial that was at neither of the previously

    presented extremes. During these practice trials, the experimenter asked the participants

  • Imagination and Perception Development 14

    questions to confirm their understanding. For example, the experimenter would ask the

    participant why they thought a particular movement was possible or impossible. During this

    time, the experimenter also answered any questions the participants had. After confirming their

    understanding of the task, participants completed one block of perceptual judgments consisting

    of 66 trials (6 target combinations x 11 SOAs). For each of the 6 target pairs, the point at which

    participants changed their responses from impossible to possible (this point was the point along

    the spectrum of SOAs where the participant answered “yes” twice in a row) was determined and

    the SOA at this point was considered to be the minimum MT perceived to be possible for a given

    combination of target width and amplitude (or ID). This process generated one data point for

    each of the 6 target pairs. A similar type of task has been used several times in adult studies to

    assess how individuals perceive an observed action (Chandrasekharan et al., 2012; Eskenazi et

    al., 2012; Grosjean et al., 2007; Welsh et al., 2013). Therefore, the current method is consistent

    with previous work, but was modified for use with children. Specifically, a single block of trials

    (as opposed to multiple blocks of trials) was performed to maintain a relatively short time in

    testing, to balance task demands boredom and fatigue, particularly in younger children.

    Results

    Prior to statistical analysis, child participants were initially divided into two experimental

    groups to facilitate analysis of differences between younger children (seven to eleven, n = 18)

    and adolescents (12 to 16, n = 14). This division was chosen at this age because it has been

    shown to be a critical point for corticospinal maturation (Yeo, Jang, & Son, 2014), motor skill

    acquisition (Sugden & Wade, 2013) as well as motor imagery development (Caeyenberghs,

    Wilson, et al., 2009; Smits-Engelsman & Wilson, 2013). Specifically, this age seems to delineate

    all three of these processes in that there is more rapid development up until approximately eleven

  • Imagination and Perception Development 15

    or twelve years, followed by more subtle developmental changes in corticospinal maturation,

    motor skill acquisition and motor imagery ability from this age onward.

    Fitts’ Law

    To determine if MTs in each group and task conformed to Fitts’ speed accuracy trade-off,

    a linear regression was calculated between group mean MT for each of the six combinations of

    target width and amplitude and ID. For all groups and all tasks, MT was significantly correlated

    with ID, confirming the presence of Fitts’ law in all groups and tasks (Figure 2). For equations

    and statistics, see Table 1.

    Group Differences

    An analysis of variance was conducted to further examine within- and between-group

    differences between execution, imagination and perception task MTs. Because MTs were found

    to conform to Fitts’ speed-accuracy trade-off, a single mean MT was calculated per participant

    for each task. These mean MTs were submitted to a 3 (task: execution, imagination, perception)

    by 3 (group: child, adolescent, adult) mixed ANOVA with repeated measures on the first factor.

    Mauchly’s test indicated that the assumption of sphericity had been violated (2 (2) = 12.42, p <

    .01). Therefore, degrees of freedom were corrected using Greenhouse-Geisser estimates of

    sphericity (ε = .79). All post-hoc analyses were conducted using Tukey’s HSD.

    The analysis revealed a significant effect of task, F(1.57, 62.85) = 71.30, p < .001, where

    imagined MTs (M = 483 ms) were significantly higher than those for perception (M = 302 ms)

    and execution (M = 364 ms), and perception MTs were significantly lower than those for

    execution and imagination. There was also a significant effect of group, F(2,40) = 5.07, p < .05,

    where MTs averaged across all tasks for the child group (M = 416 ms) were significantly higher

  • Imagination and Perception Development 16

    than those of the adult group (M = 351 ms). There was no significant difference in overall MT

    between the children and adolescents, although there was a trend towards lower overall MTs for

    the older group (M = 366 ms). Finally, there was a significant group by task interaction, F(3.14,

    62.85) = 3.73, p < .05. Post-hoc analysis of the interaction showed that in the child group, there

    were significant differences between the mean MTs of all tasks, with MTs in the perception task

    being the lowest and MTs in the imagination task the highest (see Figure 3). In the adolescent

    group and adult groups, the mean MT for imagination was significantly higher than the mean

    MT for both perception and execution, but there were no significant differences between

    perception and execution. Between the groups, there were no significant differences between

    MTs for the execution or perception tasks, although the difference in execution times between

    the younger child group and the other two groups approached significance. In the imagination

    task, the child group had significantly higher MTs than the older group and the adult group.

    The relationship between age and simulation congruency

    To assess the relationship between congruency of action simulation processes (the degree

    to which perception and imagination MTs reflect actual execution MTs) and age (i.e., how these

    measures change with age), difference scores between mean imagination and execution and

    mean perception and execution MTs were calculated for each participant. This analysis only

    included the child participants. Pearson’s correlation coefficient and linear regressions were

    calculated for the correlation between difference scores for imagination and age as well as the

    correlation between difference scores for perception and age. It was found that difference scores

    for perception were significantly and positively correlated with age (r = .71, p < .001, y = 20.16 x

    – 299.40) such that perception MTs approach actual MTs as age increased (Figure 4-A). In

    contrast, there was no significant correlation between the difference scores for imagination and

  • Imagination and Perception Development 17

    age (r = .005, p = .98, y = 0.19 x + 121.60), suggesting that these differences were more stable

    across the age range (Figure 4-B).

    Discussion

    The aim of the current study was to quantify the relationship between action execution,

    imagination and perception in children and adolescents and to describe how these relationships

    change as a function of age. Typically developing children between the ages of seven and sixteen

    and young adults completed three tasks, execution, imagination and perception (action

    possibility judgement), which involved continuous aiming movements to the same six target

    pairs. Overall, the MTs for each of these tasks for each group of participants increased as a

    function of the difficulty (ID) of the aiming movement and therefore conformed to Fitts’ law.

    The critical finding, however, was that MTs selected in the action possibility judgements task

    became increasingly congruent with actual execution MTs as age increased, whereas imagined

    MTs did not exhibit a similar developmental change. These results are discussed over the

    following sections as they relate to neural simulation in action imagination and perception.

    Fitts’ law in imagination and perception

    Overall, the presence of Fitts’ law in action perception and imagination across all age

    groups demonstrates that action simulation processes are intact and at least partially developed

    by the age of seven. This result is in line with the findings of previous motor imagery research,

    where the consensus is that the ability to effectively engage in motor imagery is present by

    approximately seven years of age (Gabbard, 2009). This finding is also consistent with previous

    action observation and imitation research in infancy which has implicated a motor simulation

    mechanism for imitation and observational learning (Paulus et al., 2013, 2011a, 2011b). It is

  • Imagination and Perception Development 18

    also consistent with the work of Marshall et al. (2010)and Saby et al. (2011) who demonstrated

    that children’s movement trajectories change when observing the incongruent movement

    trajectory of another person (i.e., a motor contagion effect). In sum, the result that both imagined

    and perceived MTs followed Fitts’ speed-accuracy trade-off is additional evidence for motor

    system activation in the imagination and perception of movement in children.

    The relationship between age and action imagination

    In contrast to past work, the current experiment found no age-related differences in the

    congruency between imagined and executed MTs. Specifically, although action imagination

    times were longest in the youngest children, the difference between real and imagined MTs did

    not change as a function of age. Instead, imagined MTs were consistently greater than actual

    execution MTs. Although it is not entirely clear why this difference emerges, it should be noted

    that the overestimation of imagined MTs is very common for this type of aiming task (see Wong

    et al., 2013; Young et al., 2009; Yoxon et al., 2015). Additionally, because the younger

    children’s actual execution MTs were numerically (but not significantly) longer than those of the

    other groups, the small decrease in imagined MT from the younger to the older group does not

    represent a developmental change in the temporal congruency of action imagination. Moreover,

    the correlational analysis presented here demonstrates that there is not a consistent change in the

    way imagined MTs approached actual MTs as a function of age. Therefore, the ability to imagine

    the temporal aspect of movements (i.e., the congruency between real and imagined movements)

    does not seem to change from later childhood into adolescence.

    This result may be related to the nature of developmental changes in motor imagery in

    late childhood. Previous studies (Caeyenberghs, Wilson, et al., 2009; Smits-Engelsman &

  • Imagination and Perception Development 19

    Wilson, 2013) included a large number of children in early childhood. It is this early age range

    (five to eight years) that seem to have the largest discrepancies between real and imagined MT

    (Caeyenberghs, Wilson, et al., 2009; Molina, Tijus, & Jouen, 2008; Skoura, Vinter, &

    Papaxanthis, 2009; Smits-Engelsman & Wilson, 2013). It is possible, therefore, that these

    differences in younger children under the age of seven (where it is thought that motor imagery

    processes are largely developed, see Gabbard, 2009; Molina et al., 2008) contributed to the age-

    related differences seen in previous studies. Relatedly, a recent study that evaluated age-related

    imagery ability using a self-report questionnaire developed for use with children found no age-

    related differences in self-reported ease of imagery in children aged seven to twelve years

    (Martini, Carter, Yoxon, Cumming, & Ste-Marie, 2016). Therefore, it is likely that age-related

    changes in the temporal congruency of motor imagery did not emerge in the current experiment

    because developmental differences in action imagination are more subtle at the age range used in

    the current study.

    Recent task experience may have also played an important role in the consistency of

    motor imagery ability. In the current study, all children executed the pointing task before

    imagination and perception tasks. This experience, however, was not provided in past studies.

    For example, the study of Caeyenberghs, Tsoupas and colleagues (2009) included many tasks

    that were counterbalanced across participants, meaning that execution experience may have

    occurred at various times relative to the imagination task. Smits-Engelsman and Wilson (2013)

    only used imagination and execution tasks but these were also counterbalanced so that half the

    participants began with imagined movements. Recent work has demonstrated the effect of task

    experience on the accuracy of imagination and perception of continuous aiming movements

    (Chandrasekharan et al., 2012; Wong et al., 2013; Yoxon et al., 2015) suggesting that task

  • Imagination and Perception Development 20

    experience may lead to more accurate imagined and perceived MTs. Essentially, it is thought that

    experience with a given task can generate a more accurate representation of an action and its

    associated perceptual effects – leading to more accurate imagination and perception of

    movement. Therefore, it is also possible that the very recent task experience in the current study

    may have led to more accurate perception-action representations, particularly in the younger

    children who may lack in general motor experience compared to older children and adolescents.

    However, if this were the case, similar effects would be expected in action perception, because

    this process would also be affected by experience (as in Chandrasekharan et al., 2012).

    Therefore, although the lack of age-related changes in action imagination (in comparison to the

    results of other studies) may be related to recent task experience, it is more likely that this effect

    is due to more subtle developmental differences in this task, from late childhood to adolescence.

    The relationship between age and action perception

    In contrast to the results of action imagination, the difference between actual MTs and

    MTs selected as possible in the perception task decreased as a function of age. Specifically,

    younger children were shown to have a larger disparity between actual execution MTs and

    perceived MTs than adolescents, indicating that the younger participants overestimated their

    abilities (shorter estimated MTs mean more efficient performance). These action possibility

    judgements were more congruent with actual MTs in the adolescents, indicating that the

    discrepancy and overestimation of their abilities relative to their actual abilities decreased as a

    function of age. Developmental research of risk taking and injury proneness in children would

    suggest that this overestimation of abilities in younger children is not uncommon (Sandseter &

    Kennair, 2011). It is known, for instance, that children regularly engage in “risky play” or

    situations that provide a thrilling experience (such as jumping from heights and moving at high

  • Imagination and Perception Development 21

    speeds) as part of normal cognitive and motor development. These behaviours are likely related

    to the abilities of younger children to estimate their abilities and the consequences of their

    actions (Sandseter & Kennair, 2011). Specifically, children are more likely to overestimate their

    abilities in tasks beyond their abilities than adults (Plumert, 1995).

    Although these abilities may also be influenced by social and individual factors, there is

    also an evident developmental component as older children and adolescents seem to be able to

    more accurately characterize their abilities than younger children (Plumert & Schwebel, 1997). It

    should be noted here that the body of literature on children’s ability to estimate what they are

    capable of performing goes beyond what is very briefly discussed here. For example, authors

    have examined the individual and developmental differences that impact a child’s risk perception

    for a given task (e.g.,Schwebel & Bounds, 2003; Schwebel & Plumert, 1999, see Sandseter &

    Kennair, 2011 for review). Critically, however, whereas the body of literature on children’s

    assessment of ability focuses mainly on how children perceive their own abilities when they are

    presented with a given task, the current study asks children to make a judgement on a movement

    that they are actively observing. To the authors’ knowledge, this is the first time that action

    perception and possibility judgements have been studied in this way. For this reason, although

    developmental differences in ability estimation and risk taking are likely related to the results of

    the current study, these initial conclusions should be considered preliminary and with some

    caution. Future more dedicated and expansive work is needed to assess the interpretation of the

    results and conclusion.

    The current study’s results could also be accounted for by typical perceptual-motor

    development. From late childhood to adolescence (the age range used in the current study),

    children begin to engage in more complex activities that present new challenges (e.g. engaging in

  • Imagination and Perception Development 22

    more open motor skills). These new challenges, coupled with neurophysiological development,

    are thought to preclude improvements in perception-action coupling (Sugden & Wade, 2013).

    Essentially, more experience and a larger motor repertoire afford older children and adolescents

    stronger associations between actions and their effects, allowing them to better predict the

    outcomes of their actions. This effect is evidenced by experimental work demonstrating the

    increased ability of older children to intercept objects (Chohan, Verheul, Van Kampen, Wind, &

    Savelsbergh, 2008) and to plan safe movement trajectories (Chihak et al., 2010; Plumert &

    Schwebel, 1997). In the context of the current experiment, weaker perception-action coupling in

    younger children could have led to less accurate action possibility judgements in that an inability

    to link the perceptual effects of an action (observed by the participants) with a specific motor

    pattern could hinder a child’s ability to make effective predictions about the action’s possibility.

    Consequently, children may be choosing faster or “riskier” perceived MTs, as they often do in

    more ecologically valid situations, because they cannot adequately predict the true consequences

    of the observed action. Although the presence of Fitts' law in their perception (as well as

    imagination) MTs suggests that action simulation occurs and is intact, underdeveloped

    perception-action coupling may have interfered with the transformation of perception-to-action.

    This underdevelopment may have also interfered with the ability to relate the motor simulation to

    an accurate choice of possible MT.

    Another related important consideration is that action possibility judgements, in

    comparison to action execution and imagination, rely on the comparison between what is

    observed and what is simulated as well as a determination of a threshold for possibility. The

    factor associated with determining the threshold of what is possible or not has been addressed to

    a certain degree earlier in the discussion of risk-taking. That is, it is possible that there is a

  • Imagination and Perception Development 23

    greater distinction between actual and perceived MTs because the younger children have a

    relatively low threshold for that they think is possible for them to perform - there is an

    overestimation of their capabilities because of a low threshold/cut-off for what is possible. The

    factor that might have led to challenges for the youngest group was the comparison between the

    observed movements on the screen and the simulation. That is, the presentation of a young adult

    arm in the perception task may have led to challenges in self-other matching in younger children.

    Past research has demonstrated that children may more readily represent the actions and hands of

    younger (i.e. age matched) children (Liuzza, Setti, & Borghi, 2012; Marshall et al., 2010).

    Therefore, it is possible that the participants in the current study were unable to fully represent

    the adult hand, or were unable to match this representation of "other" on the screen with

    representation of the “self” in the simulation. Younger children, therefore, may have been unable

    to produce a possibility judgement that is congruent with their own capabilities, but is more

    congruent with the assumed abilities of the observed hand. The results of Welsh et al. (2013)

    suggest that adults can successfully make judgements for people with different capabilities

    (notably between child and adult performers) and are not driven to make the judgements for the

    person they are observing (child vs. adult model). In this context, it might be instructive to note

    that perceived MTs for each group were consistent with each other (i.e., perceived MTs for the

    youngest group were not different from those of the adolescents and the adults). Because the

    present work was the first to target this question of action perception and possibility judgements

    using this approach, it was not possible to anticipate this distinction for the youngest group and

    so a child vs. adult model comparison was not included in the design. Overall, it is not clear if

    the differences between perception and execution MTs for the youngest group were due to an

    inappropriately low threshold for distinguishing between what is possible and impossible, a

  • Imagination and Perception Development 24

    relatively poor ability to distinguish and compare between “self” and “other”, or some other

    mechanism. Future research that more specifically addresses these issues (perhaps as in

    Chandrasekharan et al., 2012, and Welsh et al., 2013) is needed.

    Conclusions

    The critical finding of the current study was that the developmental trajectories of

    imagination and perception from late childhood to adolescence are different. Between the ages of

    seven and sixteen years, the temporal congruency between real and imagined MTs remained

    relatively stable, whereas the congruency between MTs selected in the action possibility

    judgement task and real MTs increased as age increased. This result stands in contrast to the

    prediction that the temporal congruence in these two tasks should increase in a similar way due

    to their shared mechanisms. Therefore, it is likely that there are differences in the underlying

    cognitive and neural mechanisms of action imagination and perception. Results compliant with

    Fitts’ law in both tasks and the stability of action imagination suggest that neural motor

    simulation is developed by late childhood. Further, results compliant with Fitts’ law in the action

    possibility judgement task indicate that, at some level, an action simulation process is intact.

    However, the underestimation of MTs in the action possibility judgements may be due to

    differences in an additional self-other, perception-action matching processes, or threshold

    setting; all of which are necessary to form accurate judgements. Specifically, action possibility

    judgements involve the comparing or relating of observed action effects to one’s own

    representation of the task. Therefore, although children may be able to neurally simulate actions,

    their ability to effectively use these simulations to predict movement outcomes likely continues

    to develop into adolescence.

  • Imagination and Perception Development 25

    Acknowledgements

    This research was supported by grants from the Natural Sciences and Engineering Research

    Council and the Ontario Ministry of Research and Innovation to T.N.W.

  • Imagination and Perception Development 26

    References

    Caeyenberghs, K., Tsoupas, J., Wilson, P. H., & Smits-Engelsman, B. C. M. (2009). Motor

    imagery development in primary school children. Developmental Neuropsychology, 34(1),

    103–21. doi:10.1080/87565640802499183

    Caeyenberghs, K., Wilson, P. H., van Roon, D., Swinnen, S. P., & Smits-Engelsman, B. C. M.

    (2009). Increasing convergence between imagined and executed movement across

    development: evidence for the emergence of movement representations. Developmental

    Science, 12(3), 474–83. doi:10.1111/j.1467-7687.2008.00803.x

    Chandrasekharan, S., Binsted, G., Ayres, F., Higgins, L., & Welsh, T. N. (2012). Factors that

    affect action possibility judgements: recent experience with the action and the current body

    state. Quarterly Journal of Experimental Psychology, 65(5), 976–93.

    doi:10.1080/17470218.2011.638720

    Chihak, B. J., Plumert, J. M., Ziemer, C. J., Babu, S., Grechkin, T., Cremer, J. F., & Kearney, J.

    K. (2010). Synchronizing self and object movement: how child and adult cyclists intercept

    moving gaps in a virtual environment. Journal of Experimental Psychology. Human

    Perception and Performance, 36(6), 1535–1552. doi:10.1037/a0020560

    Chohan, A., Verheul, M. H. G., Van Kampen, P. M., Wind, M., & Savelsbergh, G. J. P. (2008).

    Children’s use of the bearing angle in interceptive actions. Journal of Motor Behavior,

    40(1), 18–28. doi:10.3200/JMBR.40.1.18-28

    Choudhury, S., Charman, T., Bird, V., & Blakemore, S.-J. (2007a). Adolescent development of

    motor imagery in a visually guided pointing task. Consciousness and Cognition, 16(4),

    886–96. doi:10.1016/j.concog.2006.11.001

    Choudhury, S., Charman, T., Bird, V., & Blakemore, S.-J. (2007b). Development of action

    representation during adolescence. Neuropsychologia, 45(2), 255–62.

    doi:10.1016/j.neuropsychologia.2006.07.010

  • Imagination and Perception Development 27

    Clark, S., Tremblay, F., & Ste-Marie, D. (2004). Differential modulation of corticospinal

    excitability during observation, mental imagery and imitation of hand actions.

    Neuropsychologia, 42(1), 105–112. doi:10.1016/S0028-3932(03)00144-1

    Decety, J., & Jeannerod, M. (1995). Mentally simulated movements in virtual reality: does

    Fitts’s law hold in motor imagery? Behavioural Brain Research, 72(1-2), 127.

    Eskenazi, T., Rotshtein, P., Grosjean, M., & Knoblich, G. (2012). The neural correlates of Fitts’s

    law in action observation: An fMRI study. Social Neuroscience, 7(1), 30–41.

    doi:10.1080/17470919.2011.576871

    Fitts, P. M. (1954). The information capacity of the human motor system in controlling the

    amplitude of movement. Journal of Experimental Psychology, 47(6), 381–391.

    Gabbard, C. (2009). Studying action representation in children via motor imagery. Brain and

    Cognition, 71(3), 234–9. doi:10.1016/j.bandc.2009.08.011

    Grèzes, J., & Decety, J. (2001). Functional anatomy of execution, mental simulation,

    observation, and verb generation of actions: a meta-analysis. Human Brain Mapping, 12(1),

    1–19.

    Grosjean, M., Shiffrar, M., & Knoblich, G. (2007). Fitts’s Law Holds for Action Perception.

    Psychological Science, 18(2), 95–99.

    Hétu, S., Grégoire, M., Saimpont, A., Coll, M.-P., Eugène, F., Michon, P.-E., & Jackson, P. L.

    (2013). The neural network of motor imagery: an ALE meta-analysis. Neuroscience and

    Biobehavioral Reviews, 37(5), 930–49. doi:10.1016/j.neubiorev.2013.03.017

    Jeannerod, M. (2001). Neural Simulation of Action: A Unifying Mechanism for Motor

    Cognition. NeuroImage, 14(1), S103–S109. doi:10.1006/nimg.2001.0832

    Liuzza, M. T., Setti, A., & Borghi, A. M. (2012). Kids observing other kids’ hands: Visuomotor

    priming in children. Consciousness and Cognition, 21(1), 383–392.

    doi:10.1016/j.concog.2011.09.015

  • Imagination and Perception Development 28

    Marshall, P. J., Bouquet, C. a., Thomas, A. L., & Shipley, T. F. (2010). Motor contagion in

    young children: Exploring social influences on perception-action coupling. Neural

    Networks, 23(8-9), 1017–1025. doi:10.1016/j.neunet.2010.07.007

    Martini, R., Carter, M. J., Yoxon, E., Cumming, J., & Ste-Marie, D. M. (2016). Development

    and validation of the Movement Imagery Questionnaire for Children (MIQ-C). Psychology

    of Sport and Exercise, 22, 190–201. doi:10.1016/j.psychsport.2015.08.008

    Molina, M., Tijus, C., & Jouen, F. (2008). The emergence of motor imagery in children. Journal

    of Experimental Child Psychology, 99(3), 196–209. doi:10.1016/j.jecp.2007.10.001

    Munzert, J., Lorey, B., & Zentgraf, K. (2009). Cognitive motor processes: the role of motor

    imagery in the study of motor representations. Brain Research Reviews, 60(2), 306–326.

    Paulus, M., Hunnius, S., & Bekkering, H. (2013). Neurocognitive mechanisms underlying social

    learning in infancy: Infants’ neural processing of the effects of others' actions. Social

    Cognitive and Affective Neuroscience, 8(7), 774–779. doi:10.1093/scan/nss065

    Paulus, M., Hunnius, S., Vissers, M., & Bekkering, H. (2011a). Bridging the gap between the

    other and me: the functional role of motor resonance and action effects in infants’ imitation.

    Developmental Science, 14(4), 901–910. doi:10.1111/j.1467-7687.2011.01040.x

    Paulus, M., Hunnius, S., Vissers, M., & Bekkering, H. (2011b). Imitation in infancy: rational or

    motor resonance? Child Development, 82(4), 1047–57. doi:10.1111/j.1467-

    8624.2011.01610.x

    Plumert, J. M. (1995). Relations between children’s overestimation of their physical abilities and

    accident proneness. Developmental Psychology, 31(5), 866–876. doi:10.1037/0012-

    1649.31.5.866

    Plumert, J. M., & Schwebel, D. C. (1997). Social and temperamental influences on children’s

    overestimation of their physical abilities: links to accidental injuries. Journal of

    Experimental Child Psychology, 67(3), 317–37. doi:10.1006/jecp.1997.2411

  • Imagination and Perception Development 29

    Saby, J. N., Marshall, P. J., Smythe, R., Bouquet, C. a., & Comalli, C. E. (2011). An

    investigation of the determinants of motor contagion in preschool children. Acta

    Psychologica, 138(1), 231–236. doi:10.1016/j.actpsy.2011.06.008

    Sandseter, E. B. H., & Kennair, L. E. O. (2011). Children’s risky play from an evolutionary

    perspective: The Anti-phobic effects of thrilling experiences. Evolutionary Psychology,

    9(2), 257–284.

    Schwebel, D. C., & Bounds, M. L. (2003). The Role of Parents and Temperament on Children’s

    Estimation of Physical Ability: Links to Unintentional Injury Prevention. Journal of

    Pediatric Psychology, 28(7), 505–516. doi:10.1093/jpepsy/jsg041

    Schwebel, D. C., & Plumert, J. M. (1999). Longitudinal and Concurrent Relations among

    Temperament, Ability Estimation, and Injury Proneness. Child Development, 70(3), 700–

    712. doi:10.1111/1467-8624.00050

    Sirigu, A. ., Cohen, L., Duhamel, J. R., Pillon, B., Dubois, B., Agid, Y., & Pierrot-Deseilligny,

    C. (1995). Congruent unilateral impairments for real and imagined hand movements.

    NeuroReport, 6, 997–1001.

    Skoura, X., Vinter, A., & Papaxanthis, C. (2009). Mentally simulated motor actions in children.

    Developmental Neuropsychology, 34(3), 356–367. doi:10.1080/87565640902801874

    Smits-Engelsman, B. C. M., & Wilson, P. H. (2013). Age-related changes in motor imagery from

    early childhood to adulthood: probing the internal representation of speed-accuracy trade-

    offs. Human Movement Science, 32(5), 1151–62. doi:10.1016/j.humov.2012.06.006

    Stippich, C., Ochmann, H., & Sartor, K. (2002). Somatotopic mapping of the human primary

    sensorimotor cortex during motor imagery and motor execution by functional magnetic

    resonance imaging. Neuroscience Letters, 331(1), 50–54. doi:10.1016/S0304-

    3940(02)00826-1

    Sugden, D., & Wade, M. G. (2013). Typical and atypical motor development. London: Mac

    Keith Press.

  • Imagination and Perception Development 30

    Welsh, T. N., Wong, L., & Chandrasekharan, S. (2013). Factors that affect action possibility

    judgments: The assumed abilities of other people. Acta Psychologica, 143(2), 235–244.

    doi:10.1016/j.actpsy.2013.04.003

    Wong, L., Manson, G. A., Tremblay, L., & Welsh, T. N. (2013). On the relationship between the

    execution, perception, and imagination of action. Behavioural Brain Research, 257, 242–

    252.

    Yeo, S. S., Jang, S. H., & Son, S. M. (2014). The different maturation of the corticospinal tract

    and corticoreticular pathway in normal brain development: diffusion tensor imaging study.

    Frontiers in Human Neuroscience, 8(August), 1–6. doi:10.3389/fnhum.2014.00573

    Young, S. J., Pratt, J., & Chau, T. (2009). Misperceiving the speed-accuracy tradeoff: Imagined

    movements and perceptual decisions. Experimental Brain Research, 192(1), 121–132.

    doi:10.1007/s00221-008-1563-x

    Yoxon, E., Tremblay, L., & Welsh, T. N. (2015). Effect of task-specific execution on accuracy

    of imagined aiming movements. Neuroscience Letters, 585, 72–6.

    doi:10.1016/j.neulet.2014.11.021

  • Imagination and Perception Development 31

    Tables and Figures

    Figure 1. An example of the pictures that were displayed in the perception task. Images 1 (hand

    on the right side target) and 2 (hand on the left side target) were alternated at a range of

    stimulus onset asynchronies (SOAs) to create the apparent motion of the hand.

  • Imagination and Perception Development 32

    Table 1. Fitts’ law equations and statistical analysis for the linear regressions calculated between

    MT and ID for each of the tasks and groups.

    Children Aged 7-11 Equation

    𝑴𝑻 = 𝒂 + 𝒃 ∙ 𝑰𝑫 R2 p

    Execution MT = 116.1 + 81.13(ID) .98 .0002

    Imagination MT = 324.0 + 59.99(ID) .95 .0009

    Perception MT = 25.78 + 75.56(ID) .99

  • Imagination and Perception Development 33

    Figure 2. Linear regressions between index of difficulty (ID) and movement time for each of the

    three tasks, for each of the three experimental groups.

  • Imagination and Perception Development 34

    Figure 3. Mean imagined MTs for each of the execution, perception and imagination tasks.

    Asterisks indicate significant (Tukey’s HSD, p < .05, CV = 79.9) within group

    differences between the tasks.

  • Imagination and Perception Development 35

    Figure 4. Difference scores between imagination and execution (A) and perception and

    execution (B) as a function of age. Note: This analysis includes only child participants.

    View publication statsView publication stats

    https://www.researchgate.net/publication/317850169