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19 Event-Related Potentials 243
trials is considered a prerequisite for ERPs, so that all trials share the same baseline (i.e., mean amplitude level). The usual procedure is to take the mean of a dedicated baseline interval and subtract that value from all data points in the trial. This will shift the baseline of each trial to a level around zero. The pre-stimulus period is the obvious choice of baseline interval as activity in the time before the stimulation should be relatively low. This is another reason w so that the reaction to the preceding stimulus has waned. In cases when increased activity in the pre-stimulus period is expected, the full trial could be used instead as a baseline interval.
As for the trial length, you also need to decide the length of the baseline interval. It should not be too short so that extreme values could bias the calculation of the mean. But it should also not be too long to keep it limited to a period of little variability. Many published ERP studies use an interval of 200 ms. The reasoning is that this is equal to two periods of an alpha oscillation which is the dominant oscillation in human background EEG. Using multiples of an alpha cycle might therefore reduce the inuence of alpha on the ERPs as positive and negative parts of a cycle should cancel out (Luck,
19.2.1.4 Averaging
The last step in calculating ERPs is averaging the trials. All included trials should be
of artifacts. Otherwise, if you average only a small number of trials, even a
free single larger artifact can compromise the ERP. Conversely, this is less of an issue if you have many trials that are largely artifact-free. Usually, all trials of one condition are averaged together. However, in some cases, multiple averages could be created for subsections of the experiment. For example, if you have a very long experiment, and you want to compare the responses for early and late trials. Other common approaches to check the reliability of an ERP could be to contrast odd and even trials, or to sample trials at random.
The processing steps discussed so far are required for an ERP analysis. However, there
are further optional steps. A common example is artifact handling on the trial level. In fact, it is not unusual to do a coarse artifact screening early on to remove only large-scale artifacts that would otherwise interfere with other pre-processing steps. In this case, it is likely that some subtler artifacts will survive, and a more ne­grained artifact rejection can be done before averaging trials.
2014).
hy the ISI should be long enough

19.2.2 Interpreting ERPs

Now that you know how to compute ERPs, lets take a step back and think about what you might want to investigate with an ERP experiment. A classical research question could be that you have two conditions A and B, and you expect a difference in the ERP waveform between the conditions due to some experimental
244 M. Hoppstädter
manipulation. Coming back to the oddball example, the two conditions could be frequent and rare tones. Another approach is to explore differences in the same experimental condition between experimental groups, for instance, between healthy controls and patients. Thus, the next step after creating the ERPs would be to compare them to assess the research quest ion.
A common way to explore differences between conditions is to simply overlay both waveforms and compare the differences visually. This can be extended to computing their difference wave. If you subtract two waveforms from each other, the result shows how the difference between two conditions (or groups) varies over time. This can help you determine when exactly an ERP effect of interest emerges. You might not only be interested in when but also where an ERP appears. To inspect this, you can plot the difference wave as a topography. This can help you locate the spatial focus of an effect (see Sect.
19.3 for more information).

19.2.3 Group Analysis

The average ERP response across all datasets of a study is often called the grand average ERP. This is usually calculated for each condition separately. Through the
additional averaging step, the SNR will again improve with every added dataset. The grand average ERP can be investigated between conditions and between groups in the same way as the single-subject ERPs (see Sect. the
analysis is to extract features for statistics but this will be discussed later in this
chapter (see Sect.
19.5).
19.2.2). The last step to complete

19.2.4 Single- Trial Analysis

An alternative to a classical ERP analysis is to stop before averaging the trials and investigate the single trials instead. This can be useful, for example, when you are interested in the variability of a signal over time. However, the consequence of looking at single trials is that they are based on only one observation and therefore the SNR will be much lower due to the higher noise level.

19.3 Character istics of the ERP and Its Components

Since EEG is generally an oscillating signal, the ERP also presents itself as a waveform pattern of alternating positive and negative-going deections (see Fig.
19.2). These individual deections are usually referred to as ERP components.
However specic physiological or cognitive response.
, not every peak is necessarily a component if it has not been related to a
19 Event-Related Potentials 245
Fig. 19.2 A simplied overview of the waveform pattern of ERP components. The gure is based on an auditory oddball paradigm and the ERP at CPz is displayed. Sensory components and a P3 are visible. Note that negative is plotted downward. The approximate time ranges in which the different classes of ERP components fall are indicated at the bottom
Each time point of the ERP waveform can be described by several parameters. While not every point in the ERP is of equal interest, the start and the peak of specic deections usually are. They can be characterized by their onset and peak latency with respect to the stimulus presentation. The polarity refers to the direction of the deection, meaning if it is positive or negative going. Finally, the amplitude (i.e., the current value of voltage) and phase (i.e., the position in the ongoing oscillation) can be extracted at each time point.
Naming of ERP Components The characteristic shape of alternating positive and negative deections also inspired the nomenclature of ERP components. The logic is simple: if the component is going in a negative direction the name starts with N, or if positive-going with P. Then the time around which the component usually peaks is added. Thus, a positive-going potential peaking around 300 ms after a stimulus would be called P300. Many ERP components are named following this scheme, though sometimes a short form may be used (i.e., P3 instead of P300). This focuses more on the position of the component in the overall sequence of deections rather than on its peak time which can vary. However, some components have been named by using more phenomenological or functional descriptions, like the contingent negative variation or the mismatch negativity (see Sect.
19.4 for examples). It
makes sense to add a word of caution here: you should always check if an ERP is plotted with negative polarity pointing upward or downward as both options are used in the ERP literature.
Topographies Another characteristic of ERP components is that they usually have a typical localization. Hence, it is very common to look at topographies which map the voltage distribution on the scalp. These can be created for single points, like the onset or the peak of a component, and you can follow the change in spatial
246 M. Hoppstädter
distribution over time. You can also map the mean amplitude of an ERP component. This type of plot is commonly found in the results section of any ERP paper (for more information on typical EEG gures, see Chap. Research
Variability Importantly, these characteristics are not absolutely xed. While an ERP component has a typical onset, peak latency, and topography, those parameters can vary with many experimental variables. The specics of the paradigm, the stimulus timing, the type of stimuli, and sensory modality are just a few examples. Also, the characteristics of the tested participant group can affect ERPs, for example, their age or if they have a psychiatric condition. Some aspects of data processing such as the referencing scheme or the number of trials contributing to the ERP can inuence the appearance of the nal ERPs as well.
Paper, and Fig. 36.2 for an example of a topography).
36: How to Evaluate an EEG

19.4 Commonly Investigated ERP Comp onents

This section provides some examples of commonly investigated ERP components. The list is not exhaustive, b ut it mentions many ERP components that you are likely to encounter in the ERP literature. If you are looking for more in-depth information about a component, there are some great books focused on ERP components (see for instance Luck, 2014; Handy, 2005; Luck & Kappenman, 2011).
One way of classifying ERP components is by looking at the time window in
they occur. First, there are the early sensory components occurring within
which roughly the rst 100 ms after the stimulus that are elicited in response to auditory and visual stimuli. Then follows a range of long-latency sensory components within the rst 200 ms. These react to the stimulus characteristics, and they vary in their shape depending on sensory domain. Later potentials can be described as more cognitive components. They are task-dependent and correlate with higher cognitive functions. These components can also be labeled as endogenous, while those components that are automatically triggered through a sensory stimulus are exogenous (Luck, Earli
er components have a rather small amplitude but a high frequency, while the
later components usually show larger amplitudes at a much slower frequency.
2014).

19.4.1 Early Sensory Components

Auditory brainstem responses (ABRs) are the earliest auditory component and will be automatically and reliably evoked when auditory stimulation with clicks is used. They reect information processing on the auditory pathway from the cochlea through the brainstem to the thalamus. There are usually up to seven peaks in roughly millisecond distance labeled I to VII.
19 Event-Related Potentials 247
Table 19.1 Examples of early sensory ERP components
Timing w.r.t.
Component ABR Within 10 ms. Usually recorded from
C1 Peaks ~100 ms.
stimulus
onset
overlap
Might with P1 if C1 is positive.
Distribution Common experimental observations
with mastoid
vertex reference.
Strongest at posterior midline sites (e.g., Oz, Pz).
Measured to assess integrity of audi­tory pathway. Usually sampled at 20 kHz. Shape depends on participant and stimulus characteristics, e.g., higher intensity leads to shorter peak laten­cies, higher frequency stimulation results in longer peak latencies (Pratt,
2012).
Originates in V1. Elicited by any visual stimulus. Can be affected by sample character­istics, e.g., smaller amplitude and longer latency in schizophrenic patients (Schechter et al.,
2005).
The earliest visual response is the C1 wave which originates from processing in the primary visual cortex (V1). It can be of either polarity (i.e., negative or positive) depending on where in the visual eld a stimulus is presented (Jeffreys & Axford,
1972).
Refer to Table 19.1 for a summary of early sensory components.

19.4.2 Long-Latency Sensory Components

These components are related to the processing of stimulus characteristics. They are not strictly specic to a sensory domain, but I focus on examples from auditory and visual stimulation since they are most commonly used.
The P100 relates to early visual processing (like the C1) of a stimulus, but further
stream of V1 in the visual pathway. Both the visual and auditory N100 are
down widely studied in early sensory processing and have been linked to the detection of change.
The N170 can be considered a special version of a visual N100 linked to the proces
sing of human faces, or to other stimuli for which the participant has acquired
expert knowledge, e.g., birds (Tanaka & Curran,
The P200 has been linked
to processing basic visual target features of a stimulus,
and it reacts similarly to a P300 (see Sect. 19.4.3).
In the N200 range, you can nd several sub-components, like the N2a which is also
known as Mismatch Negativity (MMN) and the N2b, which has been linked to
response inhibition.
Refer to
Table 19.2 for a summary of long-latency sensory components.
2001).
248 M. Hoppstädter
Table 19.2 Examples of long-latency sensory ERP components
Timing w.r.t.
Component P100 Peaks
N100 Peaks ~100 ms.
N170 Peaks
P200 Peaks ~200 ms. Fronto-central
N2a/MMN Peaks ~200 ms. Strongest at fronto-
N2b Peaks ~200 ms. Anterior
stimulus
onset
–130 ms.
100 Might overlap with C1 (if C1 is positive).
Anterior precedes posterior peak.
150
peak
–200 ms.
Distribution Common experimental observations Lateral occipital
maximum.
Widespread with anterior and poste­rior peaks.
Parieto-occipital maximum and bilateral.
maximum.
midline
central sites.
maximum.
Elicited through any visual stimulation. Sensitive to stimulus characteristics.
Investigated with basic stimuli, like pure tones or a ickering checkerboard. Suffers from refractory effects, i.e., smaller amplitudes for shorter ISIs.
Increased amplitude to the perception of
(Eimer,
faces
2012).
Usually accompanied by central posi­tivity (vertex positive potential). Originates from activity in the fusiform and occipital face areas (Haxby et al.,
2000).
Can be investigated with oddball or visual More pronounced for target features in infrequent visual stimuli.
Mismatch detection in a sequence of standard stimuli, usually tested with pure tones. Elicited automatically without the need to consciously attend the stimulus. Amplitude increases with stronger deviation from standard stimulus (Näätänen & Kreegipuu,
Measure of response inhibition, classi­cally adigm. More negative amplitude with increas­ing frequency of Go stimulus (Bruin & Wijers,
2011; Rossion & Jacques,
search paradigms.
2012).
investigated with Go/No-Go par-
2002).

19.4.3 Later Cognitive Components

Numerous components fall into this category as ERPs have been used to investigate many different cognitive processes. I have selected a few prominent examples.
The P30 a marker of change detection in stimulus sequences, however, the task has to be relevant (contrary to the MMN).
0 (or more precisely the P3b component) is used similarly to the MMN as
19 Event-Related Potentials 249
Two components have been investigated intensively in language research. While the N400 is considered a proxy for semantic congruency, the P600 serves as a marker of syntactic violations.
ERPs have also been related to the recruitment of resources for processing emotional tion of additional attention to emotionally relevant stimuli (Nordstrom & Wiens,
2012).
In the learning phase of long-term memory experiments, one can investigate the
Dm
involves contrasting the ERP in response to items that were later successfully remembered minus the ERP in response to later forgotten items and yields a widespread positivity.
There are some ERPs related to motor responses, which are typically slow waves that potential, also known by its German name Bereitschaftspotential) is a slowly varying negative deection in anticipation of a motor response.
The ERN (error-related negativity) is different components because it is related to a response rather than the stimulation. Hence, it is a response-locked potential. The ERN is thought to reect error monitoring and cognitive control (see Gehring et al. (
Refer to Table 19.3 for a summary of later cognitive components.
stimuli. The LPP (late positive potential) is thought to reect the alloca-
effect (difference due to memory, also known as subsequent memory effect). This
evolve over longer time intervals. As an example, the LRP (lateralized readiness
from all aforementioned ERP
2012) for an overview).

19.4.4 ERP Components in Multimodal Recording Scenarios

ERPs are not always recorded by themselves, but also in multimodal recording scenarios. This enables you to create ERPs based on events other than experimental triggers. Many scenarios are possible, but I want to mention three examples:
EEG and ECG If you add an electrocardiogram (ECG) to the EEG recording, you
investigate heartbeat-evoked potentials, a marker of neural interoceptive
can processing of cardiac activity (Schandry et al., 1986). The idea is to detect each R-peak of the QRS complex and use this to align the EEG signal with the heartbeat. This ERP peaks between 250 and 450 ms after the heartbeat in frontal regions.
EEG and TMS With transcranial magnetic stimulation (TMS) of the motor cortex, you can provoke a motor response and use the EEG to record motor-evoked potentials. However, you can also align the EEG with the trigger of the TMS pulse to generate transcranial-evoked potentials. These produce a complex wave­form, and they are considered a measure of cortical reactivity (Hernandez-Pavon et al.,
2023).
EEG an
participant is looking. You can use this information to exclude trials in which a stimulus was not attended, thus improving the validity of your ERP. It is also
d Eye Tracking Eye trackers allow you to check where exactly your
250 M. Hoppstädter
Table 19.3 Examples of later cognitive ERP components
Timing w.r.t.
Component P300/P3b Peaks ~300 ms. Widespread centro-parietal
N400 Peaks ~400 ms. Centro-parietal maximum,
P600 Peaks ~600 ms. Posterior maximum. Investigated with either written
LPP Similar time
Dm-effect Wider positivity
LRP Starts ~1 s
stimulus
onset
window but more extended.
between
and 800 ms.
400
before
the motor
response.
to P300
Distribution
maximum.
shifted to the right
usually hemisphere.
Centro-parietal maximum. Observed in response to emo-
Centro-parietal maximum, inuenced by stimulus cate­gory (e.g., pictures vs. words).
Fronto-central maximum. Lateralization and polarity
Common experimental observations
Classically investigated with
oddball paradigm, both in
the auditory (e.g., pure tones) and visual (e.g., Xs and Os) domain. Larger amplitude with increas­ing deviancy and decreasing frequency of targets compared to standards (Polich,
Typically examined using lin­guistic materials (written or spoken or combined). The effect can also be demon­strated with non-linguistic materials like meaningful line drawings (Kutas & Federmeier,
2000).
Amplitude tance of the target word from the semantic context.
or usually full sentences. Larger for sentences with non-grammatical structure, e.g., words appearing in incorrect position or use of the wrong verb form.
tionally arousing stimuli (usu­ally complex visual scenes). Responses to both positive or negative emotional scenes show increased amplitudes compared to neutral ones (Liu et al.,
2012).
Connected to successful encoding of items to long-term memory (Wilding & Ranganath, 2012). Replicated stimuli (e.g., spoken or written words, visual objects).
depend on which motor response is carried out, e.g., left vs. right hand, or
scales with the dis-
spoken language materials,
for a variety of
2004).
(continued)
19 Event-Related Potentials 251
Table 19.3 (continued)
Timing w.r.t. stimulus
Component
ERN Starts before the
onset Distribution
response.
~100 ms
Peaks after the response.
Midline fronto-central maximum.
Common experimental observations
hand vs. foot (Brunia et al.,
2012).
Considered ment preparation but it can also be observed when the move­ment is inhibited (Smulders & Miller,
Time-locked to the response. Usually observed in difference wave between correct responses minus incorrect responses. For partial errors (e.g., wrong button press inhibited and corrected), the amplitude falls in between full errors and cor­rect trials. Corrected errors show a larger amplitude than uncorrected ones.
a marker of move-
2012).
possible to obtain xation-related potentials. This means to align the EEG with the xation marker from the eye tracker instead of using the stimulus trigger. This provides a better time estimate of the beginning of stimulus processing (Hutzler et al., 2007).

19.5 Extraction of ERP Features

Once your ERP analysis is complete, you usually want to investigate the effects statistically. This means checking for signicant differences between two or more conditions, groups, or EEG channel locations. Features of interest differ across studies, and I will discuss a few common examples below (see also Fig.
Peak-Related
Features It is possible to base the comparison on the peak of an ERP
component, i.e., the single point with the maximum amplitude of the deection. This peak amplitude (Fig. of
interest and statistically tested. Note that the peak of an ERP component is likely
19.3a) can be extracted for all conditions, groups, and sensors
to fall into a similar time range across electrodes or compared datasets, but it is unlikely to coincide perfectly. The peak latency (Fig.
ble of interest.
varia
19.3b) can therefore also be a
19.3).
252 M. Hoppstädter
Fig. 19.3 Overview of typical measures extracted from ERPs based on a P3 component. From the peak of a component, both the peak amplitude (a) and the peak latency (b) can be determined. Aggregated measures like the mean amplitude (c) or the area under the curve (d) can be computed within a dened time window around the component. S Stimulus, A Amplitude, t Time
ERPs can still contain some higher frequency oscillations, which means that the data can uctuate around the peak. To avoid picking just one of many small peaks, it is common to average across neighboring data points around the maximum (see also next section). This lters out the high-frequency noise but still does not guarantee that you selected the truepeak among many small uctuations (Luck,
2014; see also Chap. 22: Quantifying EEG and ERP Data Quality, specically Sect.
22.2.5).
Sometimes, the distance or amplitude difference between two points could be of interest, for instance between two neighboring peaks (peak-to-peak) or between a peak and the preceding depression (trough-to-peak).
Mean Amplitude and Area Measures Another common way to extract features of an ERP is to aggregate values over time. This could be the mean amplitude (Fig. 19.3c) of a specic time interval related to an ERP component. However, this works best for shorter and well-dened components (thus not optimal for slow waves). Ideally, the time range should not be selected based on the visually apparent difference in the data itself as this would be circular reasoning (Keil et al., 2014). You could dene it based on prior observation, for instance, by running a pilot study, or consider other studies on the same topic. Another way to optimize this is to apply data-driven methods. Fo r instance, you can use non-parametric permutation tests to nd time windows and locations to probe afterwards with more classical statistical tests (Maris & Oostenveld,
2007).
The benet of using mean amplitudes is that you counteract the high-frequency noise issue mentioned above. However, a mean amplitude can be biased by extreme values within the time window. Also, if the time window contains both negative and positive amplitudes, they will cancel each other out when computing the mean. A way around this issue is to use area measures, like the area under the curve (Fig.
19.3d). This refers to the area between the curve and the x-axis which can be
considered as always being positive so that negative and positive parts of the curve would not cancel out.