The Attentional Blink Provides Episodic Distinctiveness: Sparing at a Cost
Upshifted decision criteria in attentional blink and repetition blindness
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This article was downloaded by: [Universite Rene Descartes Paris 5]On: 26 February 2010Access details: Access Details: [subscription number 786636382]Publisher Psychology PressInforma Ltd Registered in England and Wales Registered Number: 1072954 Registered office: Mortimer House, 37-41 Mortimer Street, London W1T 3JH, UK
Visual CognitionPublication details, including instructions for authors and subscription information:http://www.informaworld.com/smpp/title~content=t713683696
Upshifted decision criteria in attentional blink and repetition blindnessFlorent Caetta a; Andrei Gorea a
a Paris Descartes University and CNRS, Paris, France
First published on: 01 July 2009
To cite this Article Caetta, Florent and Gorea, Andrei(2010) 'Upshifted decision criteria in attentional blink and repetitionblindness', Visual Cognition, 18: 3, 413 — 433, First published on: 01 July 2009 (iFirst)To link to this Article: DOI: 10.1080/13506280902884402URL: http://dx.doi.org/10.1080/13506280902884402
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Upshifted decision criteria in attentional blink
and repetition blindness
Florent Caetta and Andrei Gorea
Paris Descartes University and CNRS, Paris, France
A large number of ‘‘unawareness’’ phenomena have been explained and quantifiedin terms of sensitivity (d?) fluctuations, with very few attempts at addressing analternative putative cause, i.e., fluctuations of subjects’ response criteria (c).Response criteria fluctuations are particularly likely under dual-task paradigmswith unbalanced sensitivities (Gorea & Sagi, 2000) such as those used in evidencingattentional blink (AB) and repetition blindness (RB) phenomena. The present studyinquires into whether AB and RB are indeed prone to a deviant decisionalbehaviour. AB and RB were studied with a yes/no task allowing the assessment of d?and c for the detection (presence/absence) of a target letter T2 as a function of itstemporal lag relative to the presentation of another (AB) or of the same (RB) letter,T1 (Experiment 1). A significant criterion increase was observed in both cases.Additional experiments demonstrate that this criterion effect is typical of thesedual-task AB and RB paradigms as it is not observed in a standard contrastdetection task with mixed contrasts (Experiment 2), in a ‘‘control’’ AB designstripped off its first task T1 (Experiment 3), or in a metacontrast experiment(Experiment 4). We propose that the observed criterion shifts are the consequenceof the inherent dual-task AB and RB designs (where observers have to judge twoevents of unequal saliencies) and that they entail an enhancement of the AB andRB effects as long as these effects are assessed via subjective (yes/no or matching)procedures.
Keywords: Dual task; Decision; Sensitivity; Signal Detection Theory;
Attentional blink.
Among the numerous ‘‘unawareness’’ visual phenomena reported for
otherwise highly salient stimuli (such as binocular rivalry, neglect, blind-
sight, change blindness, invisible priming, etc.), many require an implicit or
explicit dual-task design to be evidenced. This is definitely the case with
attentional blink (AB; Raymond, Shapiro, & Arnell, 1992) and repetition
Please address all correspondence to Florent Caetta, Paris Descartes University and CNRS,
45 rue des Saints Peres, 75006 Paris, France. E-mail: [email protected]
We thank our observers who have patiently spent many hours out of sheer altruism, and
Pedro Cardoso-Leite for useful comments.
VISUAL COGNITION, 2010, 18 (3), 413�433
# 2009 Psychology Press, an imprint of the Taylor & Francis Group, an Informa business
http://www.psypress.com/viscog DOI: 10.1080/13506280902884402
Downloaded By: [Universite Rene Descartes Paris 5] At: 11:57 26 February 2010
blindness (RB; Kanwisher, 1987) designs. AB is the phenomenon where, in a
rapid serial visual presentation display, subjects fail to report the second of a
pair of highly salient targets (T1, T2) when it is delayed with respect to the
first by about 200�500 ms. Critically, AB occurs only if subjects are requiredto report both targets, that is, a dual-task design. Likewise, RB is the
phenomenon where, within roughly the same time interval range, subjects
fail to detect the second target in the sequence if it is a repetition of the first
but not otherwise. Although very similar at face value, AB and RB show
rather different sensitivity functions of time-lag (U-shaped and monotonic,
respectively) and have been attributed to distinct (e.g., Chun, 1997) though
debated processes. Globally speaking, these processes have been related to
attentional or short-term memory limitations/bottlenecks or, most fre-quently, a combination of the two (for recent reviews see Bowman & Wyble,
2007; Olivers & Meeter, 2008).
It is not the purpose of this study to disentangle or confront these rather
numerous AB and RB theoretical accounts. Instead, we ask whether such
‘‘unawareness’’ visual phenomena, like many of those mentioned erlier,
might also proceed from other processes than a sensitivity depletion. By
design and by definition, AB and RB are dual-task paradigms where the two
targets to be reported are of unequal saliencies with the second in thesequence much less visible than the first. Here we aim to show that, in
addition to a sensory depletion, the ‘‘invisibility’’ of this second target may
be enhanced by a change in observers’ decision strategy (an upward criterion
shift) entailed by the inherent dual-task nature of these paradigms. Upward
criterion shifts have been positively tested or invoked to account for some
pathological unawareness conditions such as neglect (Klein, 1998; Ricci &
Chatterjee, 2004), extinction (Gorea & Sagi, 2002a), and blindsight
(Azzopardi & Cowey, 1997, 1998; Campion, Latto, & Smith, 1983).Criterion shifts have been recently demonstrated (Caetta, Gorea & Bonneh,
2007) for the case of motion induced blindness (MIB; Bonneh, Cooperman
& Sagi, 2001), but discarded as a putative cause of a response time reduction
due to stimulus repetition in a search task (Sigurdardottir, Kristjansson, &
Driver, 2008).
One may think of such decisional changes as being specific to high-level
processes. Gorea and Sagi (2000, 2001, 2002a, 2002b, 2005) have argued;
however, that they are typical of any testing condition where seen/not seenjudgements bearing on a feebly salient target are implicitly or explicitly made
with reference to a more salient stimulus. According to Signal Detection
Theory (SDT; Green & Swets, 1966), the placement of a decisional crite-
rion by an optimal observer slides along the internal response axis in
proportion with the observer’s sensitivity or, equivalently, with stimulus
salience. Accordingly, two unequally salient targets (like in AB or RB)
should yield, in principle, unequal criteria. Gorea and Sagi have shown that
414 CAETTA AND GOREA
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this is not the case and that the two criteria tend to ‘‘attract’’ each other to
the point of merging into one. As a consequence, the least salient target will
be reported less and the more salient one more than if either of them were
presented in isolation. As this attraction effect occurs even for sequentially
presented targets (Gorea & Sagi, 2005), it should be also present in AB and
RB paradigms. This is definitely not to say that criterion shifts are the cause
of AB or RB effects, but that they may add to the sensory caused
performance depletion. In fact, criterion shifts entailed by dual-tasks with
unbalanced stimulus saliencies should not contribute at all to these
phenomena when assessed with criterion-free (such as forced-choice)
paradigms. It remains that about 35% of the AB and RB literature we’ve
reviewed (including the pioneering studies of Kanwisher, 1987, and of
Raymond et al., 1992) uses subjective measurements.
In addition to the subjective dual-task paradigms, criterion shifts are
known to occur in any subjective single-task experiment involving the
random presentation (across trials) of different saliency stimuli. In such yes/
no paradigms, false alarms cannot be attributed to a particular stimulus so
that their frequency is computed over the whole saliency range, hence
yielding one single number. In SDT, the z-score of a given false alarm
frequency has been coined by Gorea and Sagi (2000) the ‘‘absolute
criterion’’, c?. It is the decision variable computed along the internal
response axis (or sensory continuum) with respect to the mean of the
internal noise distribution. As explained in the next section (see also Figure 1),
this ‘‘unique’’ c? derived from mixed saliency designs will stand between the
c?-values that would be computed in blocked designs for the lower and the
higher saliency stimuli. As a consequence, the lower and higher saliency
stimuli used in mixed subjective designs will be reported respectively less and
more frequently than when tested in blocked subjective designs. This is the
case for all subjective AB and RB assessments as they have all been made
with randomized T1�T2 lags (hence different T2 saliencies). Under such
experimental conditions the main AB or RB effects (i.e., performance drop
for specific lags) are enhanced by necessity.
The use of a unique c? is not necessarily avoided in either mixed blocks
with ‘‘tagged’’ temporal lags or in experimental designs blocked by lag. This
should be so because humans are poor in tagging temporal delays within the
range effective for AB or RB effects (i.e., 0�200 ms; e.g., Cardoso-Leite,
Gorea, & Mamassian, 2007). Subjects may well report false alarms
originated at arbitrary moments so that these false alarms are erroneously
attributed to the nominal (experimentally tagged or blocked) lag. It follows
that the corresponding c?-values will be smeared (or averaged) across the
different (tagged or blocked) lags the consequence of which is, once again, a
performance undervaluation for the less visible stimuli.
UPSHIFTED DECISION CRITERIA 415
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In short, the present study is aimed at testing criterion shifts in AB and
RB tasks due both to their dual-task format and to the standard procedure
used in these paradigms of randomizing temporal lags. In relation to this
latter point, the study also addresses the issue of lag uncertainty from the
d’
1.0
2.0
3.0
4.0
0.0
b
AB
Lag
c’
2.0
0 1 2 3 4 5 6 7 8 9
d
AB mixedAB blocked
1.5
1.0
0.5
1.0
0.5
0.0
-0.5
-1.0
c
AB mixedAB blocked
c
p(z)
ad’
c’
SN
c0
Sensory continuum (z)
uc’S1
S2
SN
Figure 1. Noise (N) and signal (S) internal response distributions, sensitivities (d?) and optimal
criteria (c and c?) presented within the SDT framework (a) and derived from hypothetical AB and RB
data (b, c, and d). (a). SDT framework for single and dual-task designs (top and bottom panels,
respectively). Gaussian are the probability density functions of the internal response (represented as z-
scores on the sensory continuum) for noise-alone (N) and for signal-plus-noise (S) events. Sensitivity
corresponds to the separation between the mean of the S and N distributions (top panel). When
measured with respect to the crossing point of the S- and N-distributions (c0), decision criteria are
referred to as relative (c); when measured with respect to the mean of the N-distribution, they are
referred to as absolute (c?). When S and N are equiprobable, an optimal observer places his response
criterion at the crossing point of the N and S distributions, whether tested with one (heavy vertical
solid line in the top panel) or two different signals strengths (S1 and S2; dashed vertical lines in the
bottom panel). In the latter case observers might not be able to keep the S1 and S2 distributions
(dotted Gaussians) apart and merge them into a global S-distribution (heavy Gaussian labelled S in the
bottom panel). If so, they will entertain a unique absolute criterion (uc?; heavy vertical line in the
bottom panel) that is ‘‘optimal’’ with respect to this global S-distribution but suboptimal with respect
to S1 and S2 taken independently. (b) A typical U-shaped d? function of target (T1�T2) lag in an AB
design (c and d). Optimal c- and c?-values in AB for the case where each lag is tested in isolation
(dashed lines) or randomized across trials (solid lines).
416 CAETTA AND GOREA
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observer’s standpoint, whether these lags are blocked or experimentally
tagged within mixed designs. To make our point, we compare criteria
measured in AB and RB with those assessed in three single-task designs: A
standard contrast detection experiment with mixed contrasts, an AB design
where observers are asked to ignore the first (and easiest) task in the
sequence of two, and a metacontrast task. Metacontrast is the phenomenon
whereby a highly visible target is rendered invisible by a spatially adjacent
suprathreshold mask presented up to a few hundred ms after the target (for a
recent review see Hermens, Luksys, Gerstner, Herzog & Ernst, 2008). The
metacontrast control experiment was chosen for three reasons. First, like AB
and RB, metacontrast is a time dependent invisibility phenomenon. Second,
contrary to AB and RB, it is mostly thought of as due to low-level inhibitory
effects (e.g., Hermens et al., 2008; Ogmen, Breitmeyer, & Melvin, 2003).
Third and most critically, it involves a single (here detection) task and should
therefore not be prone to a criterion shift.
A FEW DEFINITIONS
Performance in all the present experiments is assessed in terms of sensitivity,
d?, and of response bias or criterion. Like d?, the criterion (heavy vertical
solid lines in Figure 1a, top panel), is expressed in units of the internal noise,
that is, z-scores. When measured with reference to the value of the sensory
continuum (or internal response) where the noise (N) and signal (S)
distributions cross (noted c0 in the top panel of Figure 1a), it is referred
to as the relative criterion, c��.5(zH�zFA), with zH and zFA the hit and
false alarm z-scores (Green & Swets, 1966; Macmillan & Creelman, 1991).
For equally probable N and S events, the optimal c�c0�0, whatever the d?(dashed horizontal line in Figure 1c). Another way of measuring this same
decision variable is with reference to the mean of the N-distribution in which
case it is referred to as the absolute criterion, c?�zFA (see Gorea & Sagi,
2000). The optimal c (�0) is at the mid-distance between the means of the
N and S distributions, so that an optimal c?�d?/2 (dashed curve in Figure
1d). Although c and c? are directly derivable from each other (provided the
hit rate is known, i.e., c?�2c�zH), c? is a more convenient index for
revealing the use by observers of a unique (internal response) decision
variable (as conceptualized by Gorea & Sagi, 2000) across stimuli yielding
different sensitivities (solid horizontal line in Figure 1d). Under such
conditions, standard SDT predicts different optimal c?-values (given that
the optimal c? equals d?/2; dashed curve in Figure 1d). The assessment of a d?independent c? would be direct evidence of observers using a unique decision
variable, uc?, across different stimulus saliencies. Such behaviour translates
into different c-values (solid curve in Figure 1c) that would hinder its graphic
UPSHIFTED DECISION CRITERIA 417
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demonstration. For this reason the measured and theoretical criteria
presented in the Results section are given in c?-units. Because c-units are d?independent, they were used in the only case where we compared the
decision variables across distinct experiments yielding different sensitivities.Gorea and Sagi (2000) have shown that when observers cannot ‘‘tag’’ the
internal distributions evoked by two (or more) different saliency stimuli
(dotted Gaussians labelled S1 and S2 in Figure 1a, bottom panel), their
choice of a uc? is compatible with them merging these distributions into a
single one (heavy Gaussian labelled S in Figure 1a, bottom panel) and
picking up their uc? as the internal response point where the N and the
merged S distributions cross. Assuming that observers do indeed comply
with this modelling, their uc? should approximately equal half of the d?averaged over all n different saliency stimuli, i (/�ðan
i d0
i Þ=2n): This should be
also the case when false alarms in a mixed stimuli design cannot be
attributed by the experimenter to a specific stimulus among more than two;
this is so because c?�zFA.
Figure 1b illustrates an idealized (but typical) AB d? function of target
(T2) lag. Figure 1c shows the optimal c�0 to be expected if each lag is tested
in isolation (horizontal dashed line) and the expected c-values for the case
where the lags are mixed and observers use an uc? according to the strategydescribed earlier (/uc
0�ðan
i d0
i Þ=2n; solid curve). Figure 1d displays the
equivalent c?-values when each lag is tested separately (optimal c0
i�d0
i=2;dashed curve) and when they are interleaved and observers use a uc?(horizontal solid line).
GENERAL METHOD
In all experiments, the stimuli were presented on a 19-inch gamma corrected
screen (Philips Brilliance 109P, 1024�768 pixels, 100 Hz refresh rate) and
generated by a PC running Matlab software with the Psychophysics Toolbox
(Brainard, 1997; Pelli, 1997). They were presented on a uniform grey field(35.3 cd/m2). Subjects viewed the display binocularly from a distance of 50
cm in a dark room.
Experiment 1: Attentional blink (AB) andrepetition blindness (RB)
This experiment includes three conditions: ‘‘Mixed’’ AB, ‘‘mixed’’ RB, and
‘‘blocked’’ AB (see Figure 2). As noted in the introduction, the latter
condition is meant to check our conjecture that observers may not relate
their judgements to a specific time lag despite it being blocked and that, as a
consequence, they would use a unique decision criterion across lags. If so,
418 CAETTA AND GOREA
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their ‘‘not seen’’ rate for lags yielding the largest sensitivity depression should
be enhanced.
Method
Observers. Five volunteers (age range 22�26), naıve to the purpose of
this study and with normal or corrected-to-normal vision, participated in all
three experiments.
Stimuli. Stimuli were Arial font letters (30 points with the largest letters,
‘‘M’’ and ‘‘W’’ subtending 1.158 � 0.808) randomly chosen from the entire
alphabet (with the exception of letter ‘‘X’’ in the AB condition; see the
Procedure section), with the constraint that no letter was presented twice
within a trial. Each trial consisted of a rapid serial visual presentation
(RSVP) of 25 letters displayed foveally, each lasting 20 ms with an interletter
interval of 70 ms (i.e., 11.11 letters/s; see Figure 2). Two letters in the RSVP
sequence were ‘‘targets’’, with the first target (T1) presented in white font
(142.40 cd/m2) and different from all the remaining letters (including the
second target, T2) that were black (0.01 cd/m2). T1 was presented on each
trial, whereas T2 was presented on 50% of the trials only. Fixation before
and after the RSVP sequence was ensured by a black (0.01 cd/m2) fixation
cross (0.48 � 0.48).
+
A
B
X
20 ms
70 ms
500 ms
Time
+
A
B
B
T1
T2
AB RB
70 -..700 ms
450 -..1170 ms
Figure 2. The RSVP sequence used in Experiment 1. In the AB condition, T2 was an ‘‘X’’, whereas
it was the same letter as T1 in the RB condition. The illustration is for T2-lag�1.
UPSHIFTED DECISION CRITERIA 419
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Procedure. The RSVP sequence started after a 500 ms presentation of
the fixation cross. At the end of the sequence, subjects were presented with
two letters, one of which was the T1 target and the other chosen randomly
from the alphabet (with the exception of ‘‘X’’ in the AB sessions). Subjects
had to choose the T1 target (a two-alternative forced choice task) and
subsequently decide whether or not T2 (an ‘‘X’’ in AB and a T1 repeat in
RB) was present (a yes/no task). T1 was randomly preceded by 7�15 letters.
Incorrect responses were signalled by a tone. When present (half of the
trials), T2 was pseudorandomly presented at one of eight temporal lags
(‘‘mixed’’ condition), ranging from immediately after T1 (lag 1) to seven
letters after T1 (lag 8).‘‘Mixed’’ AB and RB sessions (50 trials/lag, with no intermixing between
AB and RB trials) were randomized and repeated four times. In case of a T1
identification failure, the whole RSVP sequence was repeated later in the
session so as to reach a constant number of 200 T1-correct trials per T2 lag.
The ‘‘blocked’’ condition was run with the AB paradigm only. The
procedure was the same as in the ‘‘mixed’’ condition except that only one lag
(out of four, i.e., lags 1, 3, 5, and 7) was presented per experimental block (50
trials). Blocks were repeated thrice in a random order (i.e., 150 T1-correct
trials per lag). Note that while the mixed condition compels the measure of a
unique c? shared by all T2-lags, the blocked condition allows for c? measures
specific to each T2-lag.
Results
The overall T1 identification performance was 95% across all three
experiments and subjects. Figure 3 shows T2 group mean sensitivity (Figure
3a) and absolute criteria in the mixed (Figure 3b) and blocked (3c)
conditions as a function of the T1-T2 lag. Squares and circles pertain to
experiments AB and RB, with solid and open symbols showing data for the
mixed and blocked conditions, respectively. For the mixed conditions, c?-sare by necessity unique so that they are represented in Figure 3b as black
(measured) and white (optimal) bars for the AB and RB experiments. For
the blocked AB condition (Figure 3c), c? should, but does not appear to be
lag (and hence d?) dependent (open squares and continuous lines). Instead
the optimal c? computed for each lag independently does show a lag
dependency.
AB and RB exhibit the typical d? functions of the lag: U-shaped for AB
and monotonically increasing for RB (note that the first two d?-values of the
RB function are not statistically different). The maximum AB and RB
effects (in d? units) in the mixed condition are both 1.31 s. The maximum
AB effect in the blocked condition is 0.92 s (but note that lag 8 was absent in
this condition). The measured c?-values are in all cases well above the
420 CAETTA AND GOREA
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predicted optimal values; the upward shifts for the mixed AB, mixed RB,
and blocked AB conditions are respectively .48, .45 and an average of
.59 s units. Taken together, these d? and c? data clearly establish that AB and
RB are both sensitivity- and decision-related phenomena.A two-factor (condition*AB and RB mixed*and lag) repeated mea-
sures ANOVA on the d? data yields a significant lag effect, F(7, 28)�22.97,
pB.001. Neither the condition factor nor its interaction with the lag factor
yield significant effects. Hence, contrary to previous reports (Chun, 1997),
AB and RB effects are statistically undistinguishable. It should be noted,
however, that partial comparisons of the d?-values for lags 1 and 2 yield a
significant difference in the AB case, F(1, 4)�11.56, pB.05, but not in the
RB case.
Another two factors (condition*AB-mixed and AB-blocked � and lag)
repeated measures ANOVA with the mixed lag d?-values restricted to those
Figure 3. d? (a) and c? (b and c) dependency on the T1�T2 lag for the AB and RB experiments with
mixed (solid symbols and bars; a and b) and blocked (open symbols; a and c). Squares and circles are
for the mixed and blocked conditions, respectively. White bars in (b) and the dashed line in (c) show
optimal c?-values. All datum-points are averages over the five subjects with the vertical lines showing
91SE.
UPSHIFTED DECISION CRITERIA 421
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used in the blocked condition (i.e., 4) shows both a mixed/blocked, F(1, 4)�7.29, p�.05, and a lag, F(3, 12)�3.62, pB.05, effect with no interaction
between the two. It remains that the lag effect in the AB-blocked condition
appears to be attenuated as it is only marginally significant when tested by
itself, F(3, 12)�2.79, p�.08. Quite likely this attenuation in the blocked
design is due to the global d? increase (presumably entailed by a reduction in
temporal uncertainty) the consequence of which could be a sensitivity ceiling
effect for lags 1 and 7.
The upward c? shift was tested separately for the mixed (AB and RB) and
blocked conditions. In the first case the measured and theoretical (i.e.,
optimal) unique c?s were compared via a two-way ANOVA with condition
(AB, RB) and c? (measured, optimal) as factors. The ANOVA shows a
significant c? effect, F(1, 4)�11.25, pB.05, but no condition or interaction
effects. Another two factors (c?*measured/optimal*and lag) repeated
measures ANOVA was run for the AB blocked condition. It yields a
significant measured/optimal c? effect, F(1, 4)�18.37, pB.05, but no lag
effect and a marginally significant interaction, F(3, 12)�3.26, p�.06.
Because the interaction between measured and optimal c? fails to reach
significance, the issue of whether or not observers use a unique criterion (in
the blocked lag condition) remains undetermined.
Experiment 2: Standard contrast detection (CD)
The possibility exists that the upward criterion shift observed in the previous
AB and RB experiments are accidental and due to a natural conservative
decisional behaviour of the five observers. To settle the issue we run these
same observers in a standard yes/no detection experiment with Gabor
patches yielding one out of four contrasts intermixed within an experimental
block. This experimental format should yield once again a unique c?.
Method
Observers. They were the same as in Experiment 1.
Stimuli. They were 2 c/deg vertical Gabor patches (s�18) with one out
of four contrast levels equally spaced on a log scale in-between 0.25 and 0.45.
When presented (50% of the trials), they were superimposed on an additive
Gaussian noise (s�.75, rms contrast of 59%) and displayed for 20 ms at the
centre of the screen, indicated by a black (0.01 cd/m2) fixation cross (0.48�0.48). ‘‘Noise’’ trials consisted in the Gaussian noise alone. Based on
preliminary experiments, the lowest and highest contrasts of the Gabor
patches were chosen so as to yield a d? difference of at least 1.
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Procedure. Sensitivity and response criterion were assessed via a yes/no
procedure. Observers had to maintain fixation on the central cross for
500 ms, with its removal signalling the beginning of the trial. Stimuli (noise
or target plus noise) were displayed 500 ms later with the target contrast
pseudorandomly chosen across trials. Subjects had to decide whether a
target was present. Incorrect responses were signalled by a tone. One session
consisted of 200 trials (50 trials/contrast) and was repeated four times so that
d? and criteria were computed out of 200 trials/contrast. Notice again that
this mixed-contrast procedure does not allow for stimulus (here contrast)
specific c? assessments.
Results
Figure 4 shows the group mean sensitivity (d?) as a function of contrast
(Figure 4a), together with the group mean absolute measured (black bar)
and optimal (white bar) criterion (c?, Figure 4b). The major observation is
that the measured and theoretical c?s are very much alike. Repeated
measures ANOVA performed on the d? data show a significant effect of
contrast, F(3, 12)�46.84, pB.0001. A paired t-test comparing the measured
c? and the optimal unique c? failed to reach significance, implying that
observers’ decision behaviour is close to optimal.
Comparison between Experiment 1 and Experiment 2
As noted in the introduction, a comparison of the absolute criteria (c?)across experiments is not warranted as these indices depend on d?, which
cannot be precisely matched across different experimental setups. Instead,
relative criteria (c) are d? independent and do allow for such a comparison.
Remember that the optimal relative criterion is by definition 0. Figure 5 shows
Figure 4. Mean d? (over five observers) as a function of contrast (a) and absolute measured (black
bar) and optimal (white bar) unique criteria (b) in Experiment 2. Vertical bars are 91SE across
observers.
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the measured c-values averaged across observers and lags in the AB and RB
conditions of Experiment 1 and across observers and contrasts in Experiment
2. AB and RB yield a large upward criterion shift (about 0.45 s, i.e., one-third
of the d? variation observed in those experiments). In the standard contrast
detection experiment these same observers are much less conservative though
not quite optimal (their upward criterion shift is about 0.18, i.e., only one-
eighth of the tested d? range). A repeated measures ANOVA (with condition*AB, RB, and MC*as the only factor) shows that c-values differ significantly
across conditions, F(2, 8)�4.64, pB.05. Planned comparisons do not show a
significant difference between AB and RB, and both AB and RB differ
significantly from MC, AB, and MC, F(1, 4) �7.73, pB.0.5; RB and MC,
F(1, 4)�9.31, pB.05. Overall, the comparison between Experiments 1 and 2
demonstrates that the unique up-shifted criterion observed in Experiment 1 is
not due a natural decisional bias of the observers.
Experiment 3: Attentional blink (AB)*single task
The AB (and also RB) phenomenon is by definition bound to the presence
of an ancillary task, T1, during the RSVP presentation. The exclusion of the
Figure 5. Measured c-values averaged across observers and lags in the AB and RB conditions
(Experiment 1) and across observers and contrasts (Experiment 2). Note that the optimal c equals 0.
Vertical bars are 91SE across observers.
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T1 task (but not stimulus) leaves the RSVP presentation unchanged but
turns the dual-task AB format into a single-task format. Inasmuch as the
criterion shift observed in the standard AB paradigm (Experiment 1) results
from this task involving a dual (T1 and T2) decision, the exclusion of T1
should abolish the criterion shift. The persistence of the criterion shift in the
absence of T1 would exclude this possibility. Unfortunately, the idea of
testing this hypothesis has occurred to us at a late stage in our study so that
not all the observers run in Experiment 1 could be run in the present
experiment. As a consequence, the criteria assessed in these two experiments
cannot be directly compared.
Method
Observers. They were four volunteers*two of whom also participated in
Experiments 1 and 2*naıve to the purpose of the study and the first author.
Their ages ranged from 25 to 29 years. Observers had normal or corrected-
to-normal vision.
Stimuli. They were the same as in Experiment 1 (AB condition) except
that the RSVP sequence was presented on a white Gaussian noise (s�.57,
rms contrast of 29%) to prevent for 100% correct detection. Indeed, the AB
presentation format without the T1 task eliminates the AB effect (Raymond
et al., 1992).
Procedure. The procedure was the same as in the Experiment 1 except
that observers had only to detect the presence of an ‘‘X’’ (T2). This target
was (or was not) presented at four lags (1, 3, 5, and 7) with respect to the
T1 stimulus. Lags were randomly interleaved across trials with 200 trials
per block (50 trials/lag). Blocks were repeated four times yielding 200
trials/lag.
Results
Figure 6 shows the group mean sensitivity (d?, Figure 6a) as a function of
T1�T2 lag, together with the absolute measured and optimal criteria (c?,Figure 6b). As expected for this single-task format, d?s remain constant
across lags (mean d? of 1.25). The measured and optimal criteria are close to
identical indicating that subjects are optimal. A repeated measures ANOVA
did not show a significant d? difference across lags. A paired t-test comparing
the measured and optimal c? also failed to reach significance. Overall, the
present data point to the fact that reducing the dual-task AB format to a
single-task format eliminates both the AB effect and the upward criterion
shift.
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Experiment 4: Metacontrast (MC)
It remains that the highly conservative behaviour observed with the AB and
RB paradigms might not be exclusively caused by their dual-task design, but
rather be the consequence of them being presumably high-level (attentional?)
phenomena. This possibility was tested in a standard yes/no metacontrast
experiment, which is of the single-task type. MC has been assimilated by
some to a perceptual ‘‘consciousness deficit’’ despite it being modelled in
most cases as low-level lateral inhibition process (see Hermens et al., 2008).
Here the different sensitivities, also mixed within an experimental block, were
obtained by modulating the target�mask stimulus�onset asynchrony (SOA)
so that the experimental format is close to the one used in Experiment 1.
Method
Observers. They were four volunteers naıve to the purpose of the study
and the first author, ranging in age from 25 to 32 years, with normal or
corrected-to-normal vision. One of the volunteers also participated in
Experiments 1 and 2.
Stimuli. The target was a vertical 1 c/deg Gabor patch (s�18) spatially
gated by a circular aperture 2.48 in diameter. It was superimposed on a larger
Gabor mask (s�28) with an identical vertical 1 c/deg carrier in phase with
the target. The target, presented on 50% of the trials, was spatially
overlapping with a horizontal 3 c/deg Gabor patch with the same s as the
target (resulting in a plaid stimulus) also confined by the 2.48 circular
aperture (see Figure 7). This additional stimulus was referred to as the ‘‘tag’’
as it identified the target�mask SOA (0, 20, 40, 60, and 80 ms) whether the
Figure 6. Mean d? (over five observers) as a function of lag (a) and absolute measured (black bar)
and optimal (white bar) unique criteria (b) in Experiment 3. Vertical bars are 91SE across observers.
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target was presented or not. It was added to introduce an additional
transient, hence preventing subjects from basing their detection responses on
the target�mask transient cues that are known to vary with SOA (Kahne-
man, 1968). Target, tag and mask were centred at 78 to the left or right of a
black (0.01 cd/m2) fixation cross (0.48�0.48) and had contrasts of 0.20, 0.25,
and 0.25, respectively. All three were displayed for 20 ms with the mask onset
following the simultaneous target (when present) and tag onsets by 0, 20, 40,
60, or 80 ms. Based on preliminary experiments, the contrasts, spatial
frequencies and orientation of the stimuli were chosen so as to maximize the
masking of the target (when present) and to minimize the masking of the tag
(e.g., Ishikawa, Shimegi, & Sato, 2006), which remained highly visible for all
SOAs. The presence of the tag allowed the attribution of each false alarm to
a specific SOA and hence the assessment of SOA-specific criteria.
Procedure. The beginning of each trial was signalled by a decrease in the
size of the central cross; after a variable delay ranging from 500 to 2000 ms,
the stimuli were flashed for 20 ms with the (target �) tag�mask SOA
randomized across trials. Subjects had to decide whether the target was
Figure 7. Spatial and temporal layout of the stimuli used in the metacontrast experiment. Note that
target (i.e. ‘‘tag’’ or ‘‘tag�target’’) could be presented simultaneously with the ‘‘mask’’; in this the case
both the duration of the second ‘‘blank’’ and the target�mask SOA are null.
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present. Incorrect responses were signalled by a tone. One session consisted
of 250 trials (50 trials/SOA) and was repeated four times.
Results
Figure 8 shows the mean (over the five observers) d? (Figure 8a) and
absolute criteria (Figure 8b) as a function of SOA. Optimal criteria in Figure
7b are shown as dashed lines. Sensitivity follows a B-type (U-shape) function
of SOA with a minimum at 40 ms. However, with a mean d? maximum drop
of about 0.5 s, the strength of the masking remains relatively weak (despite
all our efforts to enhance it). Repeated measures one-way (lag) ANOVAs
separately performed on the d? and c? data show respectively a significant,
F(4, 16)�3.02, pB.05, and a nonsignificant lag effect with the latter
suggesting the use by observers of a unique c?. However, this conclusion
cannot be sustained in view of a two-way ANOVA comparing the measured
and optimal c?s across SOAs. This analysis fails to show significant effects of
either the c? type (measured vs. theoretical) or SOA factors, or for their
interaction. As the theoretical c?s were independently computed for each
SOA, they necessarily depart from a unique c?. The absence of a theoretical-
measured c? difference together with the absence of a c? � SOA interaction
leaves therefore the issue of whether or not observers use a unique c?undecided. It remains that the main conclusion to be drawn from this
experiment as well as from Experiments 2 and 3 (but not from Experiment 1)
is that, observers use a close to optimal decisional behaviour. The present
experiment also points to the fact that metacontrast, although methodolo-
gically related with the AB and RB paradigms, is not associated with the
large upward criterion shift observed with the latter two.
Figure 8. Mean (over five observers) d? (a) and c? (b) as a function of SOA in Experiment 4
(metacontrast). The dashed line in (b) shows optimal c?-values. Vertical bars are 91SE across
observers.
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GENERAL DISCUSSION
Visual (un)awareness as well as attentional phenomena are typically referred
to and quantified in terms of sensitivity fluctuations. Response biases or
decisional factors may, however, be equally relevant causal factors. On many
occasions the sensitivity and decisional substrates of such phenomena have
been methodologically melded due to the use of subjective measurement
techniques. Under such conditions (about 35% of the AB and RB literature
we’ve reviewed), ignoring the decisional factor entails by necessity an
overestimation of the sensory cause. Building up on previous studies that
illustrated the significant participation of the decisional factor to phenom-
ena such as neglect (Klein, 1998; Ricci & Chatterjee, 2004), extinction
(Gorea & Sagi, 2002), blindsight (Azzopardi & Cowey, 1997, 1998; Campion
et al., 1983), or MIB (Caetta et al., 2007), the present study demonstrates its
involvement in both AB and RB inasmuch as they are assessed via subjective
procedures.
Experiment 1 has shown that, in both AB and RB, the decision criterion
for detecting the second (suppressed) target in the sequence is in average 0.51
s above the criterion expected from SDT. In the AB condition, the upward
criterion shift was observed whether the different time lags were randomly
interleaved or blocked. Experiments 2 and 3 demonstrated that these upward
criterion shifts are not due to observers’ natural conservative behaviour as
their criteria were not significantly different from those predicted by SDT
both in the simple detection task with intermingled contrasts (and hence d?-values; Experiment 2), and in the AB presentation format where observers
had to identify the second target only (thereby eliminating the AB
phenomenon; Experiment 3). Finally, Experiment 4 showed that
metacontrast*a presumably low-level ‘‘disappearance’’ phenomenon*with interleaved but ‘‘tagged’’ SOAs is also immune to the upward criterion
shift.
In the process of unveiling the strong criterion modulation under AB and
RB, we also asked the question of whether observers use a unique absolute
criterion (c?; see Figure 1) under conditions where, theoretically, they could
have used distinct c?s for each of the different stimulation conditions (i.e.,
different lags in the blocked AB condition in Experiment 1 and different
‘‘tagged’’ SOAs in Experiment 4). The absence of a lag/SOA effect on the c?measured in the blocked and tagged experiments supports the use of a
unique criterion. In turn, such decisional behaviour enhances the ‘‘not seen’’
reports for the less visible targets and therefore the AB and RB effects.
However, the use of a unique c? cannot be confidently asserted from these
experiments (with temporal tags or blocked lags) as they showed little d? and
therefore, by necessity, c? variability across lags.
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It remains that the use of a unique c? even under conditions where the
different stimulations are clearly tagged should be expected from Gorea and
Sagi’s work (2000, 2001, 2002a, 2002b) suggesting that subjects cannot
entertain more than one internal distribution at a time. According to these
authors, when multistrength stimuli are tested jointly (be they tagged or not),
subjects merge the corresponding internal distributions and use one single
criterion that is optimal given a unique internal representation but
nonoptimal with respect to the distinct internal representations of each of
the two (or more) stimuli. Specifically, the unique c? is located somewhere in-
between the optimal criteria for each stimulus (but closer to the most salient
stimulus) so that the less and the more salient events are respectively more
and less frequently ignored. As a consequence, the use of subjective methods
in assessing AB or RB deceitfully enhances these effects.
At first sight the account above does not explain the significant elevation
of the unique c? observed in Experiment 1 (0.51 s for both AB and RB), but
not in Experiments 2, 3, and 4. This apparent incongruence disappears if one
considers that AB and RB formats are the only ones in the present series of
four involving an explicit dual-task design. Indeed, the exclusion of the
‘‘secondary’’, T1 task (Experiment 3) not only eradicates the AB and RB
phenomena (as originally shown; Kanwisher, 1987; Raymond et al., 1992),
but it also abolishes the upward c? shift. As the secondary T1 task is designed
to yield a high d? (typically too high to be measured), it also yields a high c?.Our conjecture is that criterion associated with the less salient (T2) stimulus
is ‘‘attracted’’ by the more salient (T1) stimulus as a consequence of
observers’ (at least partly) merging the two underlying internal distributions.
Because T1 performances were measured here via a two-alternative forced
choice procedure, the prediction that the associated c? should be lowered in
the presence of T2 could not be tested.
As noted by Gorea and Sagi (2000), criterion shifts do not follow from
the mere presence of two different saliency targets, but rather from subjects
having to make a decision on each of them. This should explain the absence
of a criterion shift for an AB format where the T1 task (but not stimulus) is
excluded (Experiment 3). So, in addition to the many, yet unresolved
accounts of AB and RB (see introduction), we showed that, when assessed
with subjective methods these phenomena are enhanced by subjects’
‘‘deviant’’ decisional behaviour entailed by the very nature of the dual-task
conditions under which they are obtained.
On the reasonable assumption that a dual-task needs not be explicit to
entail a merged internal representation of two distinct events, the criteria
attraction account may also explain the upward criterion shift (of about
0.7 s) observed by Caetta et al. (2007) in an MIB task. In that experi-
ment, sensitivities to small target-luminance increments were measured in
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independent experimental blocks for the visible and suppressed MIB states.
For this to be feasible, observers must continuously keep track of the MIB
target fading in and out of ‘‘awareness’’. As a consequence, the internal
representations of the two stimulus states may have been merged and a
unique criterion used to both partition the internal states and to perform the
detection task (see Gorea & Sagi, 2001).
Ever since the formulation of SDT (Green & Swets, 1966), the relation-
ship between decision criteria and consciousness has been vigorously
debated. According to Macmillan and Creelman (2005, p. 47), ‘‘the
distinction between consciousness and its lack has nothing to do with either
the existence or location of a criterion’’. The inescapable fact remains that,
inasmuch as consciousness is by definition a strictly subjective construct, its
assessment is necessarily related to subject’s assertion of ‘‘being or not being
conscious’’ and, therefore, to his decisional behaviour. This line of thinking
remains is embraced in a number of recent studies (e.g., Lau, 2008; Lau &
Passingham, 2006; Wilimzig, Tsuchiya, Fahle, Einhauser, & Koch, 2008). We
therefore conclude that, in addition to a pure sensory depletion, AB and RB
also proceed from a significant upward criterion shift presumably caused by
the inherent dual-task format required for their observation.
It is possible that such criterion shifts are also caused by the core
process(es) accounting for the sensory depletion in AB and RB. As noted by
Olivers and Meeter (2008, p 836), ‘‘all currently active theories of the
attentional blink attribute it to a limited-capacity processing stage, or
bottleneck’’. These theories share the notion that processing T1 draws on the
attentional and/or storage resources needed for the encoding of T2. Gorea
and Sagi (2005) and more recently Schneider and Komlos (2008) have
pointed to the fact that, in addition to depleting sensitivity, attentional
limitations may also entail a more conservative decisional behaviour.
Reminiscent of the ‘‘temporary loss of control theory’’ (Di Lollo, Kawahara,
Ghorashi, & Enns, 2005; Kawahara, Kumada, & Di Lollo, 2006), Olivers
and Meeter offered an alternative AB account whereby the ‘‘blink’’ for T2 is
caused by the distractor following T1 (i.e., lags�1). This distractor would
trigger an inhibitory response that blocks its access to visual short term
memory rather than depleting its sensory effect. This proposal does not
match our account of the presently observed criterion shifts being caused by
the AB (or RB) dual-task format with unequally salient stimuli. It remains
that the inhibitory process proposed by Olivers and Meeter may as well
entail a more conservative decisional behaviour bearing on the detection of
T2. Be it as it may, systematic studies assessing the modulation of decision
criteria by transient attentional, mnemonic, and/or selective inhibition
causes remain to be carried out.
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