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1 Section: Behavioral/Systems/Cognitive Neuroscience Senior Editor: John H. R. Maunsell Title: Working Memory and Visual Perception Compete for Attention: An ERP/EEG Study Abbreviated Title: Working Memory and Perception Authors: Yigal Agam & Robert Sekuler, Volen Center for Complex Systems, Brandeis University, 415 South St., Waltham MA 02454, USA Corresponding Author: Yigal Agam, [email protected] Number of figures: 4 Number of Tables: 0 Number of Pages: 20 Keywords: Working Memory, Perception, Attention, Working Memory Models, EEG, ERP Acknowledgements: This study was supported by in part by National Science Foundation grant SBE-0354378 and National Institute of Health grant R01MH-068404. Page 1 of 25 ScholarOne, 375 Greenbrier Drive, Charlottesville, VA, 22901 The Journal of Neuroscience For Peer Review Only

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Section: Behavioral/Systems/Cognitive Neuroscience

Senior Editor: John H. R. Maunsell

Title: Working Memory and Visual Perception Compete for Attention: An ERP/EEG

Study

Abbreviated Title: Working Memory and Perception

Authors: Yigal Agam & Robert Sekuler, Volen Center for Complex Systems, Brandeis

University, 415 South St., Waltham MA 02454, USA

Corresponding Author: Yigal Agam, [email protected]

Number of figures: 4

Number of Tables: 0

Number of Pages: 20

Keywords: Working Memory, Perception, Attention, Working Memory Models, EEG,

ERP

Acknowledgements: This study was supported by in part by National Science Foundation

grant SBE-0354378 and National Institute of Health grant R01MH-068404.

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Abstract

How do visual memory and visual perception interact with each other? Recent theories of

working memory have suggested that they are closely linked, and in fact share certain brain

mechanisms. In most studies of working memory, perception is separated in time from

memory maintenance, which typically is probed during the delay period. This temporal

separation makes it difficult to directly study interactions between the two processes. Here

we take a different approach, using a sequential motion imitation task for a direct, online

examination of memory load’s influence on the processing of visual stimuli. Based on

event-related potentials (ERPs) and frequency analysis of the electroencephalogram (EEG),

we show that the processing of successive incoming visual stimuli becomes less and less

effective as additional items have to be held in working memory. Using a task in which

subjects tried to reproduce random motion sequences from memory, we found a systematic

decrease in ERP amplitude with each additional motion segment that was viewed and

memorized for later imitation. High-frequency (>20 Hz) oscillatory activity exhibited a

similar position-dependent decrease. As both ERP amplitude and high-frequency

oscillations are known to reflect visual processing and selective attention, our results

suggest that visual working memory harnesses cognitive resources that might otherwise be

used in visual perception. Such a tradeoff between memory and perception may underlie

fundamental properties of working memory, such as limited capacity and primacy effects.

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The interplay between working memory, i.e., the short-term storage of information, and

perception, has been the subject of considerable debate. Even though working memory has

received much attention from researchers in psychology and cognitive neuroscience, little is

known about the mechanisms that give rise to this ability, and, more specifically, it is

unclear to what degree the short-term storage of sensory information overlaps with sensory

processing. One approach conceptualizes working memory as a set of specialized buffers

for the storage of information (Baddeley, 2003), which are controlled by an attention-based

structure, the central executive. The multi-component, modular model emphasizes limited

amounts of activation and temporal decay in the buffers as the sources of capacity

limitations in working memory (Baddeley and Logie, 1999). Physiological demonstrations

of activity in the prefrontal cortex (PFC) during the memory retention period have lead to

the identification of the PFC as the neural substrate for the proposed storage buffers

(Goldman-Rakic, 1987; Postle, 2006). An alternative view treats working memory not as a

separate module, but as an emergent property, which harnesses existing neural mechanisms

specialized for sensory perception and long-term memory representations (Cowan, 1999;

Jonides et al., 2005; Pasternak and Greenlee, 2005; Postle, 2006). By this account, after the

visual stimulus has disappeared from sight, visuospatial working memory is achieved by

prolonged activations, via attention, of the same occipital and parietal regions that are

thought to mediate visual perception (Postle et al., 2003; Todd and Marois, 2004; Vogel

and Machizawa, 2004). The prefrontal cortex, in turn, is said to mediate attentional control

of the sensory reactivation process (Curtis and D'Esposito, 2003; Lebedev et al., 2004;

Postle, 2005), rather than provide the actual substrate for memory storage. This “emergent

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property” approach emphasizes attentional control as a limiting factor in working memory

capacity (Cowan, 1999).

The majority of working memory studies has focused on neural activity during the retention

period, in the absence of incoming stimuli. Although this approach provides valuable

information related to the maintenance of information, it is unsuitable to address the

interactions between working memory and perception, as the two processes are separated in

time. A different approach would be to gauge perceptual responses in the presence of

varying working memory loads. This can be done with a procedure in which items of visual

information are presented sequentially, so that subjects have to keep early items in working

memory while encoding subsequently presented items. Under these conditions, by

recording neural responses to each additional item, one could measure the consequences of

the growth in the amount of stored information (Grune et al., 1996; Sederberg et al., 2006).

Scalp EEG recordings provide a good basis for such an analysis: First, they provide

excellent temporal resolution, essential for evaluating differences between responses to

closely-spaced stimuli. Second, ERP and EEG markers provide valuable information about

visual perception: ERP amplitude is known to correlate with attentive visual processing

(Hillyard and Muente, 1984; Hillyard et al., 1998), as does activity in the high-frequency

(beta and gamma) bands of the EEG (Gruber et al., 1999; Müller et al., 2000; Tallon-

Baudry et al., 2005). Thus, we used those markers to track changes in subjects’ processing

of incoming visual motion information while they were attempting to hold previously seen

material in working memory.

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We recorded scalp EEG from human adults who performed a sequential imitation task

(Agam et al., 2005). Fig. 1a shows a schematic diagram of the experimental paradigm. On

each trial, subjects viewed a moving disc, whose trajectory comprised five randomly

oriented, connected linear segments. Then, several seconds later, subjects used a stylus and

a graphic tablet to reproduce the trajectory from working memory (see also supplementary

video clips). We focused on the period during which subjects were viewing the moving

disc, the idea being that as the disc progresses, there is more that the subject has to hold in

memory of what he or she has already seen. The result is that we would be measuring

responses to the disc’s motion under conditions of varying load in working memory. In a

control condition, meant to distinguish between effects of memory load and visual effects,

such as habituation, subjects viewed similar stimulus trajectories, but did not have to

remember the trajectory’s multiple segments. Instead, they were asked to detect changes in

the speed of the disc or matches between the directions of motion and a predefined

directional cue (see methods).

Another source of theoretical motivation came from a previous study (Agam et al., 2005),

in which we have proposed that memory for sequential material, such as the motions of a

disc, is carried out using “competitive queuing” (Bullock and Rhodes, 2003), a system that

exploits a magnitude code, or a “primacy gradient” (Page and Norris, 1998) to represent

remembered items’ serial order. In this scheme, serial order if implicitly represented by a

monotonously decreasing gradient of activation strengths. Such a pattern has in fact been

demonstrated in ensembles of single neurons in non-human primate PFC (Averbeck et al.,

2002). One unsolved puzzle is the origin of the primacy gradient; In this study, we sought

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clues as to how such a gradient may be generated while subjects view and encode the

motion sequences for later imitation.

Materials and Methods

Subjects and Procedure. Seventeen right-handed subjects (8 male, 9 female, age range 18-

26) participated after providing written informed consent. Each of the observers performed

between 200 and 240 trials of the imitation task (memory condition). As this task has been

previously described in detail (Agam et al., 2005), only a brief outline is given here: Each

stimulus model comprised a novel set of five directed motion segments, each 1.5 degrees

visual angle long, whose orientations varied quasi-randomly. The angular difference

between the orientations of each two adjacent segments was between 30 and 150 degrees.

The moving disc took 525 ms to traverse each segment; Successive segments were

separated by a 225 ms pause, in which the disc remained stationary. Subjects had to knit

together the directed components in their mind’s eye, and hold the trajectory in memory for

3.75 seconds. They then tried to reproduce it with a stylus on a graphic tablet (Wacom,

Vancouver, WA). The accuracy of the imitation was assessed by an automatic segmentation

algorithm (Agam et al., 2005), which used temporal and spatial criteria to decompose the

imitation into individual segments. After segmentation the orientations of each reproduced

segments was compared to the orientation of the corresponding segment in the stimulus

model. The difference between the corresponding orientations provided the main measure

of error in imitation.

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All seventeen subjects also performed a control task, in which stimuli were visually

identical to those in the imitation task. For nine subjects, on one third of 240 trials (which

were subsequently excluded from the analysis), the speed of the disc through one motion

segment changed relative to the normal speed by up to 25%. Subjects had to indicate

whether such a speed change happened on a given trial. The eight remaining subjects

performed a different control task: At the onset of every one of 100 trials, an arrow pointed

to a random direction. Subjects were asked to count on how many, out of fifteen segments,

the direction of motion matched the direction of the arrow. Only the first five segments,

which were visually identical to the stimuli in the memory condition, were included in the

analysis.

Electrophysiological Recordings and Analysis. We recorded from 129 electrode sites at

250 Hz using an Electrical Geodesics (Eugene, OR) system. Data were cleaned of bad

channels, re-referenced to the grand average and reduced to a standard 27-electrode

montage using BESA (MEGIS Software GmbH, Munich), then averaged and analyzed

using MATLAB (The Mathworks, Natick, MA). Blink artifacts were eliminated by

rejecting epochs in which the difference between the maximum and minimum voltage at

any electrode exceeded 100 µV. Data were notch-filtered at 60 Hz and high-pass filtered at

1 Hz. To calculate the energy of the ERP signal, the ERP trace at each electrode was

squared, summed and divided by the sample rate. For ERP analysis, an additional low-pass

filter was applied at 30 Hz. To calculate the energy of the ERP signal, the ERP trace at each

electrode was squared, summed and divided by the sample rate. For EEG analysis, energy

spectra were computed using a 512-point (Hann-windowed) Fourier transform on each

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segment. Oscillatory energy was summed across evenly-spaced points within each

frequency band (0.1 octave frequency steps), multiplied by 2 (to include negative

frequencies) and divided by the number of FFT points and by the sample rate. The total

energy in each band was log-transformed to correct for non-normality due to lower

bounding at zero.

Correcting for multiple comparisons. For each measure (ERP and EEG), we performed

108 comparisons: 27 electrode locations x 4 time bins or frequency bands. To correct for

the resulting inflated risk of false statistical inferences due to multiple comparisons

(Ludbrook, 1998), we used a random permutation procedure, which provides an empirical

estimate, given existing correlations in the data, of the probability of a Type I error, i.e.,

false rejection of the null hypothesis (Hwang et al., 2005; Sederberg et al., 2006). To

determine the appropriate significance threshold for the ANOVA tests, we randomized the

order of segments within each trial in every condition, so that correlations between nearby

electrodes and time points within a segment remained intact, but the effect of serial position

was abolished (Fig. 2a). This process was repeated 1,000 times, to produce a set of 1,000

random permutations. We then averaged the trials in each permutation and performed the

same statistical tests as we would perform on the real, unshuffled data. The number of

significant differences seen for a particular significance threshold, divided by 1,000,

provided the probability of a Type I error. For example, if half the permutations produced a

significant difference (Fig. 2b), then the global probability of a type I error would be 0.5,

much higher than the desired value of 0.05, meaning that the threshold for each individual

comparison needs to be reduced. Finally, we chose the significance threshold for individual

comparisons, so that the number of permutations that produced any false positives did not

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exceed 50 out of the 1,000 permutations, i.e., a global 0.05 probability of a Type I error

(Fig. 2c).

Results

To score the accuracy of each imitation, an automatic segmentation algorithm used

temporal and spatial criteria to break down each drawn path into individual segments. The

error for each segment was defined by the absolute difference in orientation between that

segment and the corresponding segment in the stimulus. Behaviorally, the results

demonstrated a pronounced primacy effect and a modest, one-item recency effect (Fig. 1b),

confirming previous findings with this paradigm (Agam et al., 2005).

Fig. 1c shows representative event-related potentials (ERPs) at five midline electrode

locations, time-locked to the onset of the disc’s first motion segment, and encompassing the

entire 3.75-second period in which subjects viewed the moving disc during the memory

task. The figure shows that every motion segment elicits a distinct electrical signature. To

examine changes across successive segments, we superimposed traces corresponding to

individual segments within each trial, and tested the averaged ERPs and energy spectra for

differences between segments in the memory and control conditions. As can be appreciated

from Fig. 1c, The ERP associated with the first segment is somewhat different from the

other segments’ ERPs, making a direct comparison difficult. This may be due to the onset

of the disc’s motion, which entails not only a change in the visual scene, but also a change

in context and in the subject’s arousal level. Such attentional transients are also known to

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be accompanied by a strong decrease in oscillatory activity, particularly in alpha band

(Klimesch, 1996). Indeed, both conditions produced highly significant differences between

segments in both time and frequency, in which the first segment was clearly an outlier. To

obtain more meaningful observations related to the effects of memory load per se, we

excluded the first segment from further analysis, and focused on segments 2 through 5.

Analysis of segment-by-segment ERPs focused on epochs of interest identified by visual

inspection of the data. We chose four temporal epochs that encompassed the most notable

features of the ERPs (Fig. 1c): The early, brief occipital peak at around 200 ms after the

onset of each segment, the large frontal peak at 300 ms, the smaller peak following it at

central electrodes, and the slower, final phase (450-750 ms), most notable at frontal and

occipital locations. The ERPs within each epoch were then averaged and subjected to a

repeated measures ANOVA at each of 27 electrode sites. Due to the large number of

statistical tests, we used a random permutation procedure to correct for multiple

comparisons and adjust the significance threshold for each individual test (see Methods).

Fig. 3a-d demonstrates the segment-by-segment differences between ERPs in the memory

and control conditions. The memory condition produced widely-distributed, significant

differences between successive segments of the trajectory. Specifically, as each successive

segment was seen, ERP amplitude decreased. No significant differences whatsoever

appeared in the perceptual control condition, indicating that differences among segments in

the memory condition are not caused by visual processes alone, but arise from the

requirement to encode and maintain successive components of the seen trajectory in

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working memory. The decreasing ERP amplitude suggests that processing of the disc’s

motion becomes less and less effective as more of the trajectory’s segments have to be held

in working memory. Just as increased attention enhances the amplitude of ERP components

multiplicatively (Van Voorhis and Hillyard, 1977; Hillyard and Muente, 1984; Hillyard et

al., 1998), we believe that early motion segments benefit from increased attention

compared to later ones, whose processing is shared with the rehearsal of early segments.

If the effects of memory load were widely distributed and multiplicative, then the mean

energy of the averaged ERP signal across the entire scalp could provide a useful, compact

index of the magnitude of the effects. Fig. 3e shows ERP energy averaged across

electrodes, as a function of serial position. Even though position was a significant factor in

the control condition (p<0.02, ANOVA), energy did not decrease consistently, and in fact

increased at the fifth segment. Conversely, in the memory condition, the ERP decreased

monotonously in energy (p<0.0001). A two-way ANOVA confirmed a strong interaction

between factors condition and serial position (p<0.0015).

To complement the ERP analysis, we examined changes in oscillatory activity between

segments. we divided the frequency spectrum into four standard frequency bands: theta,

alpha, beta and gamma (Hwang et al., 2005; Sederberg et al., 2006). We calculated the

mean energy across frequencies within each of the four frequency bands. Changes in

oscillatory energy during the presentation of segments 2-5 were assessed using a repeated-

measures ANOVA for every electrode location and frequency band. A similar procedure

was used to correct for multiple comparisons.

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High-frequency oscillations in the EEG demonstrated effects analogous to those seen with

ERPs. As with the ERPs, significant differences between segments were widespread across

the scalp, and were expressed exclusively in the memory condition. As Fig. 4a-f shows,

segmentwise differences in the EEG reveal a loss of energy in the high frequencies (beta

and gamma bands) as a function of serial position. In addition to comparing oscillatory

activity in individual electrodes, we calculated the mean energy across the entire scalp in

each of the frequency bands. Fig. 4g shows mean energy in each band as a function of

segment serial position. The only cases where a one-way ANOVA yielded a significant

result were with the beta and gamma bands (p<0.0001 for both) in the memory (but not the

control) condition. Likewise, a two-way ANOVA indicated an interaction between

condition and serial position only in the high-frequency bands (p<0.0025, beta; p<0.04,

gamma). High-frequency (>20 Hz) oscillations are known to correlate with attentive visual

processing, as shown by EEG (Gruber et al., 1999; Müller et al., 2000), intracranial EEG

(Tallon-Baudry et al., 2005), MEG (Sokolov et al., 1999) and monkey single-unit

(Womelsdorf et al., 2006) experiments. Our EEG results therefore support the idea of a

declining amount of attention directed towards visual processing as working memory

demands increase throughout the stimulus presentation.

Discussion

The two electrophysiological measures presented here bring together memory, perception

and attention. As mentioned earlier, ERP amplitude and high-frequency oscillations in the

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EEG are electrophysiological hallmarks of selective attention. Our results, then, suggest a

competition for attentional resources between remembering the directions of motion

segments and encoding incoming motion information. Such a competition for processing

resources has some interesting implications: Without resorting to temporal decay or storage

buffer size, competition provides a simple explanation of why working memory is so

severely limited in capacity. We propose that working memory capacity limitations, at least

in the nonverbal domain, arise from a tradeoff between the processing of incoming visual

information and the need to keep remembered visual material active. Furthermore, the

serial ordering observed in our data suggests that the primacy effect, i.e., the better recall of

early items (Fig. 1b), could result from the uneven distribution of attentional resources

available to encode successive motion segments, so that earlier segments benefit from more

robust encoding (Sederberg et al., 2006). As we mentioned earlier, some models of memory

for serial order (Page and Norris, 1998) assume a “primacy gradient”, in which the internal

representation of the first item is most strongly active, and activation strength decreases

with each additional item, thereby providing a strength-based code for serial order. We

have previously proposed (Agam et al., 2005) that such a process underlies behavioral

performance in the imitation task described here. The results of the present study raise the

possibility that such a gradient of activation does not constitute a mechanism per se, but

could be an implicit consequence of limitations on processing serial information with

equivalent reliability across successive items.

Although EEG affords excellent temporal resolution, its limited spatial sensitivity precludes

direct conclusions as to whether working memory uses the same brain areas that are

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specialized for perception. Our findings indicate some tradeoff between memory and

perception, which is also implied by emergent property accounts of memory (Postle, 2006).

However, our results are not dispositive. For example, the multiple-component account of

working memory could be modified to include an explicit connection between the so-called

“central executive” and the “crystallized systems” – sensory representations and long-term

memory stores (Baddeley, 2003). In this scheme, a working memory model would exploit

information in the perceptual module, directing attention towards that information at the

cost of attending to the current visual input. With such a modification, the multi-component

model could, in principle, accommodate our basic result as well as could the emergent

property view. In any case, the emphasis on attention as a limiting factor in working

memory (Cowan, 1999) does seem to be entirely justified. The tight correlation in our

results between attention-based perceptual effects and serial position (i.e., memory load)

implies a more unitary framework than that provided by the current multi-component

model (Baddeley, 2003).

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Figure Legends

Figure 1: Stimuli and results. a, Example of a memory trial. Note that while viewing and

reproducing the stimulus, the disc did not leave a trace, so subjects only saw its

instantaneous position; the dashed lines are for illustration purposes. b, Behavioral results.

Segment orientation error is plotted against segment serial position. Error bars are within-

subject SEM (Loftus and Masson, 1994). c, ERPs at the midline electrode locations for the

memory condition, time-locked to the onset of the disc’s motion. Vertical dashed lines

denote the onset of individual motion segments. The 3.75 seconds for which ERPs are

displayed correspond to the period during which subjects viewed the stimulus models.

Figure 2: Schematic diagram of the random permutation procedure used to correct for

multiple comparisons. a, 1,000 random permutations of the data are created and subjected

to the same statistical tests as the real data. b, When using an arbitrary threshold t1 for each

individual test, about half the random permutation yield a significant difference, setting the

probability of a type I error at 0.5. c, With a lower threshold, t2, 950 of of 1,000

permutations yield no false positives, setting the type I error probability at its desired value

of 0.05.

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Figure 3: Modulation of ERP amplitude. a-d, ERPs time-locked to the onset of segments

2-5 at several midline electrode locations. The left and middle panels show ERPs for the

memory and control conditions, respectively. Each color corresponds to a different serial

position, and the vertical dashed lines represent averaging epoch boundaries. Colored

stripes above each panel denote significance levels for each time epoch (P values above

0.05 are unmarked). An asterisk indicates a P value exceeding the significance threshold

after correction for multiple comparisons. Note the ordering of ERP amplitudes in the

memory condition: Amplitude is systematically largest for segment 2 and smallest for

segment 5. The right panel shows the mean values across each time epoch for the memory

and control conditions (left and right sides of each pair, respectively), normalized relative

to segment 2 in each condition and time epoch. The vertical scale is expanded for clarity.

Light gray shading marks epochs in which there was a statistically significant ordering of

ERPs to segments in the memory condition. e, Mean energy of the averaged ERP across all

electrode locations, as a function of segment serial position. Error bars are within-subject

SEM for each condition.

Figure 4: Modulation of high-frequency oscillations. a-f, Energy in four standard

frequency bands in the memory and control conditions at representative electrode locations.

Each group of bars corresponds to a different frequency band, and shows the energy in

segments 3, 4 and 5 (left, middle and right bars, respectively) relative to the energy in

segment 2. Significance markers are similar to Fig. 3. Note the significant decrease in the

high frequencies during memory trials, but not in control trials. g, Mean energy across all

electrode in each band as a function of serial position. Asterisks indicate a significant

interaction between factors condition and serial position. Error bars are within-subject SEM

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for each condition. Note that some values are larger than the ERP energy (Fig. 3g), because

here energy for each trial is calculated prior to averaging, disregarding phase

inconsistencies between trials.

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Stimuli and results. a, Example of a memory trial. Note that while viewing and reproducing the stimulus, the disc did not leave a trace, so subjects only saw its

instantaneous position; the dashed lines are for illustration purposes. b, Behavioral results. Segment orientation error is plotted against segment serial position. Error bars

are within-subject SEM (Loftus and Masson, 1994). c, ERPs at the midline electrode locations for the memory condition, time-locked to the onset of the disc's motion. Verticaldashed lines denote the onset of individual motion segments. The 3.75 seconds for which ERPs are displayed correspond to the period during which subjects viewed the stimulus

models.

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Figure 2: Schematic diagram of the random permutation procedure used to correct for multiple comparisons. a, 1,000 random permutations of the data are created and

subjected to the same statistical tests as the real data. b, When using an arbitrary threshold t1 for each individual test, about half the random permutation yield a

significant difference, setting the probability of a type I error at 0.5. c, With a lower threshold, t2, 950 of of 1,000 permutations yield no false positives, setting the type I

error probability at its desired value of 0.05.

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Modulation of ERP amplitude. a-d, ERPs time-locked to the onset of segments 2-5 at several midline electrode locations. The left and middle panels show ERPs for the memory and control conditions, respectively. Each color corresponds to a different serial position,

and the vertical dashed lines represent averaging epoch boundaries. Colored stripes above each panel denote significance levels for each time epoch (P values above 0.05 are

unmarked). An asterisk indicates a P value exceeding the significance threshold after correction for multiple comparisons. Note the ordering of ERP amplitudes in the memory condition: Amplitude is systematically largest for segment 2 and smallest for segment 5.

The right panel shows the mean values across each time epoch for the memory and control conditions (left and right sides of each pair, respectively), normalized relative to segment 2 in each condition and time epoch. The vertical scale is expanded for clarity.

Light gray shading marks epochs in which there was a statistically significant ordering of

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ERPs to segments in the memory condition. e, Mean energy of the averaged ERP across all electrode locations, as a function of segment serial position. Error bars are within-subject

SEM for each condition.

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Modulation of high-frequency oscillations. a-f, Energy in four standard frequency bands in the memory and control conditions at representative electrode locations. Each group of bars corresponds to a different frequency band, and shows the energy in segments 3, 4

and 5 (left, middle and right bars, respectively) relative to the energy in segment 2. Significance markers are similar to Fig. 3. Note the significant decrease in the high

frequencies during memory trials, but not in control trials. g, Mean energy across all electrode in each band as a function of serial position. Asterisks indicate a significant

interaction between factors condition and serial position. Error bars are within-subject SEM for each condition. Note that some values are larger than the ERP energy (Fig. 3g), because here energy for each trial is calculated prior to averaging, disregarding phase

inconsistencies between trials.

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Description of Video Clips

Four video clips are provided, each depicting a different trial in the memory condition.

First, Subjects viewed the yellow disc moving along five randomly directed segment. Then,

following a brief retention interval, they tried to reproduce the disc’s trajectory with a

stylus on a graphic tablet. The blue disc’s motion on the display mirrored the motion of the

stylus on the tablet. Once finished reproducing the trajectory, subjects were shown their

imitation superimposed on the original stimulus model.

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