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Working Paper Series 2017/04/MKT
A Working Paper is the author’s intellectual property. It is intended as a means to promote research to interested readers. Its content should not be copied or hosted on any server without written permission from [email protected] Find more INSEAD papers at https://www.insead.edu/faculty-research/research
Red Bull Gives You Incentive Motivation: Understanding Placebo Effects of Energy Drinks on Human Cognitive
Performance
Liane Schmidt INSEAD, [email protected]
Corresponding author
Pierre Chandon INSEAD, [email protected]
Mathias Pessiglione
INSERM, [email protected]
Hilke Plassmann INSEAD, [email protected]
The consumption of cognitive enhancers like energy drinks (EnD) is on the rise, but do they really improve cognitive performance, and, if yes, why? We examined two novel psychological mechanisms. First, we dissociated the role of expectations and actual consumption by crossing what people consumed—Red Bull Silver Edition or a similar-tasting Sprite soda—and what they thought they consumed. We found that participants performed better in a numerical Stroop task when they believed that they had consumed an EnD, irrespective of what they had actually consume, Second, we investigated the role of motivation for such a placebo effect of EnD. We found that expected, but not actual, consumption of EnD increased the effects of incentives on cognitive performance. Our results suggest that believing that one consumes an EnD increased participants’ motivation to perform and thus enhanced their performance. Keywords: Placebo Effects; Incentive Motivation; Mental Effort Significance statement Academic doping has become increasingly popular on campuses around the globe over the last years. However, it remains unknown if and how commercially available cognitive enhancers suchas energy drinks (EnD) impact cognitive performance. We varied actual and believed consumption of an EnD and measured cognitive performance and its allocation according to the magnitude of points to earn. We found that the belief that one has consumed an EnD but not its actual consumption, increased cognitive performance specifically in high point trials compared to low point trials. These findings provide novel insights into motivational processes underpinning marketing-led expectancy effects, and contribute to the current public policy debate on the use and abuse of increased alertness and concentration claims for EnD.
3
Introduction
Academic doping—the consumption of stimulants, energy drinks, and other commercial products
that are advertised as cognitive enhancers—has become very popular in recent years (1-4).
However, research investigating the impact of prescription stimulants (4) and energy drinks (5, 6)
on cognitive performance and alertness, and their psychophysiological mechanisms, has been
mostly inconclusive.
The goal of this paper is to improve our understanding of whether—and if yes, how—popular
commercial cognitive enhancers (i.e., energy drinks, or EnD) affect cognitive performance.
Previous studies have shown that the sugar in unlabeled EnD can improve some measures of
cognitive and physical performance (5, 6). However, because the drinks in these studies were
administered without a label, these studies cannot disentangle to what extent mere expectations
about the effects of consuming a drink labeled as EnD influence cognitive performance. This is
important given the distinct taste and color of the EnD that was used in all of these studies and
that thus might have revealed the experimental condition to the participants.
Interestingly, researchers have speculated that some of the effects of EnD on cognitive
performance may indeed be driven by marketing-led expectancies about their effects, rather than
by the effects of their actual ingredients (7, 8). Advertising for Red Bull®, for example, claims
that it “improves performance and concentration, so you can tackle everything from physics to
workouts.” Against this background, our first hypothesis was that the label of the drink (i.e.,
whether people think they consume and EnD vs. not) would increase cognitive performance.
Second, if this holds, we aimed at investigating how such positive expectancies, associated to an
EnD label, would increase cognitive performance. Based on the vast interdisciplinary literature
on expectancy-based placebo effects across domains (9), we focused on the role of motivation.
4
Evidence from functional magnetic resonance imaging (10, 11), patient (12-15) and animal (16)
studies showed that across domains positive expectancies linked to the administration of a sham
treatment can trigger activity in dopaminergic pathways and their targets — the ventral striatum
and the ventromedial prefrontal (18). These brain systems have been linked to incentive
motivation (19) — a term from behavioral neuroscience that designates the ability to allocate
effort according to the magnitude of incentives (20). However, the role of motivation for placebo
effects has never been directly tested in past studies. Building on this convergence, we
hypothesized that positive expectancies linked to thinking that one consumes an EnD (i.e., linked
to an EnD label) should enhance incentive motivation and through it better cognitive performance
when incentives to perform are high versus when they are low.
To test these hypotheses we dissociated the role of expectancies linked to drinking an EnD from
those of its ingredients by using a balanced between-participants placebo design, which has not
been done previously. In other words, we varied not only the actual drink consumed (EnD vs.
placebo, a soda of similar flavor and color) but also what participants thought they consumed
(EnD label vs. soda label). Participants performed a numerical Stroop task, that offered different
levels of incentives to perform well, and has previously been shown to depend upon the
activation of the ventral striatum (17). In addition, after training on the task and on the first trial
they indicated how well they expected to perform on the task. This measure of anticipated
performance allowed us to infer how participant’s expectancies varied as a function of label and
drink. Taken together our design and behavioral task assessed the relative effects of label and
drink on (1) cognitive performance (i.e. effort), (2) effort allocation according to the magnitude
of incentives (i.e. incentive motivation), and (3) performance expectancy (i.e. anticipated
performance).
5
Results
Effects of actual and believed consumption on incentive motivation.
In line with our hypothesis, we found a significant main effect of EnD label on cognitive
performance (ß = 0.21, SE = 0.1, p = .03, 95% CI [.01 – .41]) that stand in contrast to a null effect
of drink (ß = -0.002, SE = 0.1, p = .98, 95% CI [-.2 – .19]). Importantly, the main effect of EnD
label was entirely driven by an interaction of EnD label with incentives (ß = 0.05, SE = 0.02, p =
.002, 95% CI [0.02 – 0.09]; see Table 1): As shown in Figure 1a, participants who consumed a
drink labeled as an EnD showed an enhanced sensitivity to incentives. Regardless of what they
had actually consumed, participants assigned to the EnD-label groups allocated their cognitive
performance according to the magnitude of incentives. This enhanced incentive motivation
implied that labeling the drink as an EnD facilitated cognitive performances only in trials with
high incentives at stake.
In addition, we applied Bayesian statistics to test the robustness of the effect of label on incentive
motivation versus the null effect of drink consumed (21, 22). As shown in Figure 1b, the
Bayesian estimation of the posterior distribution of credible values for the difference in mean
incentive motivation between the EnD and soda label group revealed an exclusion of zero
difference (mode=0.11, 95% HDI [0.047 – 0.175]). The posterior distribution of credible values
for effect sizes (mode=0.735, 95% (HDI): [0.314 – 1.218]) also rejected zero (i.e. the region of
practical equivalence (ROPE) counted 0% of credible mean differences). In contrast, the
posterior distributions of possible differences in mean incentive motivation between the EnD and
soda drink group accepted the null hypothesis of zero difference (mode=-0.001, 95% HDI: [-
0.073 – 0.064]) with 34% of possible effect sizes falling within the ROPE (mode=-0.015, 95%
HDI: [-0.423 – 0.435], ROPE=34%). Taken together, our results provide convergent evidence for
6
a credible non-zero positive effect of label on motivation to perform contrasted by a possible null
effect of drink.
Effects of actual consumption and expected consumption on anticipated performance
In order to investigate whether our placebo manipulation indeed induced positive expectancies
about the efficacy of the consumed drink to enhance performance, we used the very first
anticipated performance rating as a measure of expectancy. A linear mixed model found a main
effect of label on anticipated performance that trended toward significance (ß = 0.42, p = .06 95%
CI [-0.02 – 0.86]) (SI Table 3). No fixed effect of drink and no significant interaction label by
drink were observed. Bayesian estimation of the posterior distribution of possible mean
differences in anticipated performance between the EnD and soda label group revealed that the
95% HDI included zero as a possible value (mode=0.079, 95 % HDI [-0.009 – 0.176]) with 6%
of possible effects sizes falling within the ROPE (mode=0.372, 95% HDI [-0.042 – 0.818]). The
posterior distributions for possible values for mean differences between the EnD and Soda drink
group also included zero as a possible value (mode=0.028, 95% HDI [-0.062 – 0.127]). Yet, the
distribution of possible non-zero effect sizes was narrower with 29% of possible values falling
within the ROPE (mode=0.121, 95% HDI [-0.299 – 0.56]).
Further exploration of the data revealed that the trending difference in anticipated performance
between the EnD and Soda label group was driven by a significant difference between
participants, who consumed soda in a EnD can (i.e., the placebo group) and participants, who
consumed soda in a soda can (i.e., the control group) (placebo > control group: M = 71 ± 0.4%
vs. M = 57 ± 0.5%, t(42) = 2.03, p = .04 two-tailed, Cohen’s d = 2.8). Bayesian estimation of
posterior distributions of the mean difference values between the placebo and control group
revealed zero still as a possible value (mode=0.125, 95% HDI: [-0.007 – 0.272]) with a larger
7
range of possible non-zero effect sizes involving only 5% of possible values within the ROPE
(mode=0.59, 95% HDI: [-0.042 – 1.236]).
Discussion
We investigated whether and why both actual and believed consumption of energy drinks
improve cognitive performance. Our findings provide first behavioral evidence that motivational
processes play a key role in placebo effects of EnD labels on performance.
Interestingly, our credible null effect of the actual drink consumed seems to be contrary to
previous findings that investigated the role of EnD’s content on mental and physical performance
(23, 24). Our study differs from previous work in that both the EnD and the soda contained
similar amounts of sugar (Sprite: 7 g per 100 ml; Red Bull: 11 g). Our setting therefore matches
what happens when people choose an energy drink rather than a soda in the hope that it will
enhance their cognitive performance.
In comparison to prior work on incentive motivation for motor effort (17, 20), we observed no
effects of incentives on performance in participants assigned to the soda-label groups. We cannot
disentangle whether these null effects were driven by the enhanced motivation in the EnD-label
groups, a decrease in motivation in the control groups, or both. Future studies measuring baseline
incentive motivation prior to group assignments are needed to address this issue.
More broadly, our findings extend the previous literature on expectancy-based placebo effects in
important ways. Previous studies could link dopamine functioning and reward-related behavior to
placebo effects, suggesting that the activation of dopamine pathways and supposedly linked
motivational processes might be the common mechanism that implements placebo effects across
domains (18). Here, we provide behavioral evidence for the importance of such motivational
processes for placebo effects on cognitive performance and predict that motivation might play a
8
similarly important role for expectancy effects in other domains. We call for future
neuroscientific work to causally establish the link between expectancy, motivation, and activation
of dopaminergic pathways as a common mechanism underlying expectancy-based placebo
effects. In turn, if motivation indeed plays an important role more generally for expectancy-based
placebo effects, this could be an important insight for clinical placebo studies and, for example,
shed light on new ways to improve patient well-being through motivational placebo interventions
instead of mere pharmacological ones.
Material and Methods
Participants and experimental procedure
To test our hypotheses, we applied a 2 (drink: Red Bull Silver Edition Lime® EnD or Sprite®
soda) x 2 (label: “Red Bull Silver Edition Lime” or “Sprite”) between-participants design:
Participants were randomly assigned to one of four experimental groups (see Figure 1a): a
placebo group (i.e., they drank soda labeled as EnD), an open EnD group (i.e., they drank an EnD
labeled as EnD), a hidden EnD group (i.e., they drank an EnD labeled as soda), and a control
group (i.e., they drank soda labeled as soda). This design allowed us to systematically disentangle
the effects of expectations about consuming an EnD from the effects of actually consuming it.
The placebo and open EnD groups were told that they were part of a test group for investigating
the effects of an EnD on various cognitive performance tasks. The hidden EnD and control group
were told that they were included in a control group for comparison to a group that had received
an EnD.
The study was approved by INSEAD’s institutional review board. All participants gave written
and informed consent. Eighty-eight French college students (37 males, mean age 23.6 ± 2.6
years, 22 per group) were recruited via public advertisement. They were screened for normal to
9
corrected-to-normal vision, no history of substance abuse, any neurological or psychiatric
disorder, and any medication..During the recruitment, participants were told that the study aimed
to test the effects of EnDs on cognitive performance.
All participants watched the experimenter open either a can of Red Bull Silver Edition Lime (the
placebo and open EnD groups) or a can of Sprite soda (the control and hidden EnD groups). The
drinks were chosen based on their similarity in taste, odor, and color, verified by a blind pretest.
Importantly, the administration of the placebo and hidden EnD were identical to the
administration of the open EnD and control except for the following step: After opening the cans,
and while out of the participants’ sight, the experimenter switched the real EnD can with another
EnD can that contained soda (placebo group) or switched the soda can with another soda can
containing EnD (hidden EnD group). All participants then watched the experimenter pour 250 ml
of the contents into a glass and were asked to drink all of it.
A poster highlighting the benefits of the ingredients of the EnD for mental performance was
displayed in the room for all four groups; the attention of the participants assigned to the placebo
and open EnD groups was drawn to this poster (see SI Figure 3 for the detailed instructions,
adapted from (25)). For these groups, the experimenter further highlighted that the ingredients of
one can of the EnD (80 mg of caffeine, 25.5 g of sugar, and taurine) begin to stimulate the
nervous system and accelerate the heart rate about 10 minutes after ingestion in order to energize
mental performance. After administration, participants were accompanied to an isolated test
booth to perform the various cognitive tasks. During the 10 minutes of waiting time, participants
received instructions and went through several practice trials for the main task, described below.
Participants were told that they would undertake two different cognitive tasks similar to graduate
10
exams in finance and accounting. The first task was our main task of interest; it tested whether
beliefs about the drink that participants consumed affected their performance and whether these
effects would be amplified by different monetary incentives at stake on a trial-by-trial basis. The
second task was, in line with our cover story, similar to graduate exams in finance and accounting
(see supplements for a more detailed description). Participants were compensated €12 for their
participation and received an additional bonus based on their performance in the first task.
Numerical Stroop task
The main task consisted of a modified version of a previously used numerical Stroop task (17)
that allowed us to sample (1) participants’ cognitive performance and (2) how monetary
incentives affected their cognitive performance (i.e., incentive motivation) (20, 26) in a within-
participant and repeated-measure design. More specifically, the task goal involved earning as
much points as possible by detecting the numerically greater figure within figure pairs that
differed in their physical and numerical size. Importantly, the amount of points to earn according
to their performance on a given trial could vary between 1, 5, or 10 points. The points were
translated into a monetary payoff at the end of the experiment. We used this task because in
addition to being a reliable task to measure cognitive performance and incentive motivation, it
has also been shown to engage the dopaminergic system (17, 20, 27). This is important given that
our hypothesis about the role of motivation for placebo effects stems from findings about the role
of the dopaminergic system to mediate placebo effects (11, 13, 14, 18).
The task was set up as follows (see Figure 1b): Participants were first asked to indicate their
anticipated performance on the upcoming trials. We asked this question to measure their
expectancy about the efficacy of the drink they thought they had consumed. Participants saw a
11
graduated line representing a ladder with 10 steps, one for each figure pair, and were asked to
move the cursor onto the step they expected to reach in the upcoming trials. Because participants
underwent a brief training phase on this task during the waiting time for the EnD to be “active,”
they were able to form expectancies about their upcoming performance. Participants also had to
indicate their anticipated performance every sixth trial, for a total of 12 measures. Note that only
the first response was used as a measure of the strength of participants’ expectancies about the
efficacy of the drink they had consumed. The later responses were affected by their actual
performance on prior trials and thus were used as an additional measure of participants’
confidence reported in the supplements.
Subsequently, the amount of points to be earned (1, 5, or 10) was displayed in a yellow circle for
500 ms. After the point display, the same ladder used during the anticipated performance rating
appeared on the right side, next to the points to earn, for a response period of 3,500 ms. Each of
the 10 steps of the ladder corresponded to a fraction (10%) of the points at stake. The goal in each
trial was to earn as many points as possible—that is, to move the cursor as high as possible on the
ladder. To climb up one step of the ladder, participants had to indicate on which side the
numerically greater figure was shown by pressing the left or right keyboard button. A white box
highlighted the pair of figures to be considered. If the correct button was pressed, the white
cursor moved one step up, indicating that 10% of the points at stake were earned and highlighting
the next figure pair to consider. If the incorrect button was pressed, the cursor could not be
moved for 1 second of the response period (3,500 ms).
12
Importantly, the figures varied in both numerical (between 0 and 9) and physical size (between
two possible fonts).1 In some pairs, the numerically greater figure was also physically greater
(i.e., congruent pairs), whereas in other pairs it was smaller (i.e., incongruent pairs). Incongruent
pairs are known to generate a Stroop effect that requires more mental effort to inhibit interference
from the irrelevant information (i.e., font size). Half of the trials consisted of a 50% mix of
congruent and incongruent pairs (i.e., difficult trials), whereas the other half consisted of
congruent pairs only (i.e., easy trials) to vary cognitive demand (i.e., difficulty). At the end of the
response window, the cumulative total of points earned was displayed to give feedback to the
participants. The feedback was shown for random time intervals (3,000 ms + 100 to 1,000 ms) in
order to keep participants’ attention.
In all, we applied a 2 (difficulty: 100% and 50% congruent pairs) x 3 (number of points: 1, 5, and
10) factorial within-participant task design. Each condition was repeated 12 times, randomly
distributed over a series of 72 trials with a total task duration of about 10 minutes.
Statistical analysis approach
All statistical tests were conducted with the Statistics and Machine Learning Toolbox (MATLAB
2015a, from MathWorks). A linear mixed effects model (lme) using the fitlme function in
MATLAB was conducted for cognitive performance (i.e., percentage of the number of steps
climbed up the ladder on each trial) as dependent variable, with fixed effects for label (coded 1
for Sprite, 2 for Red Bull), drink (coded 1 for Sprite, 2 for Red Bull), trial number (coded 1 to 72,
to correct for possible learning effects), incentives (points to earn, coded 1, 2, or 3), difficulty
(coded 1 for easy, 2 for difficult), and all possible two-way interactions. The model also included
1The difference in physical size (i.e., font size) was the same for all pairs, but the numerical difference varied from 1 to 5 (with two pairs of each in all trials). New number pairs were presented in each trial so that participants could not anticipate them. �
13
three uncorrelated random effects. We nested the intercept and incentives by participants (coded
1 to 88), to assess whether performance and incentive motivation varied between participants.
The third random effect included the intercept nested by label (coded 1 for Sprite, 2 for Red Bull)
in order to assess effects of label on performance intercept irrespective of the fixed effects. All
regressors were z-scored. Results are reported in Table 1. A similar analysis was performed for
mean reaction times (see SI Table 1).
In addition we used a Bayesian approach to estimate posterior distributions of parameters
describing tendencies in the comparison of incentive motivation in the EnD versus Soda label;
and EnD versus Soda drink groups (22) (28). This analysis was conducted using the Matlab
Toolbox for Bayesian Estimation (BEST) (https://github.com/NilsWinter/matlab-bayesian-
estimation/blob/master/README.md). BEST provides similar results compared to the standard
linear mixed effects model, but it allows for different interpretations. Using flat priors and a
Monte-Carlo-Markov-Chain (MCMC) algorithm it generates parameter values (e.g. mean
differences between groups, effect sizes) from a posterior distribution of parameter values that
are jointly credible given the data. Parameter values that fall within a high-density interval (HDI,
95% of the possible parameters) are considered as more credible than parameter values falling
outside the HDI. Thus, this method allows consideration of the null, for example zero difference
in incentive motivation between the EnD and soda drink or label groups. Specifically, we used
BEST to calculate posterior distributions of two parameters: (1) the mean differences in the effect
of incentives on cognitive performance between the labels (EnD vs. soda), and the drinks (EnD
vs. soda), and (2) the corresponding effect sizes of these differences. To this aim we pulled
together: the placebo and open EnD groups into one EnD label group; the control and hidden
EnD groups into one soda label group; the open EnD and hidden EnD group into one EnD drink
14
group; and the placebo and control group into one soda drink group. Thus, each label and drink
group counted 44 participants. The effect of incentives on cognitive performance (i.e. measure
for incentive motivation) corresponded to the regression coefficient (i.e. beta) of incentives
obtained for each participant using a general liner model of cognitive performance predicted by
incentives, cognitive demand, trial number and all possible interactions (SI paragraph 1.2.
Alternative general linear model analysis, SI table 2).
Acknowledgements: We thank Daphna Shohamy and Vasilisa Skortskova for insightful
discussion, Sebastien Robin and the staff of the Centre Multidisciplinaire des Sciences
Comportementales Sorbonne-Universités-INSEAD for help with data collection.
15
Figure legends Fig. 1. (A) Experimental design: In a 2x2 between-participant double-crossed balanced placebo
design, participants were assigned to a control, a placebo, a hidden EnD, or an open EnD group.
Each group counted 22 participants. (B) Task timeline: Successive screenshots displayed are
shown from left to right with durations in ms. Participants rated every sixth trial how well they
expected to perform during the next block of trials. The goal in each trial was to move a white
cursor up the scale as high as possible in order to earn as many points as possible. Each step on
the scale represented 10% of the points to earn in a given trial. To move the cursor up step by
step participants had to select the keyboard button on the side of the numerically greater figure in
the white box.
Fig. 2. Placebo effects of Red Bull label on incentive motivation. (A) The graph depicts cognitive
performance during low- (1-point), medium- (5-point), and high-incentive trials (10-point) by
drink label and actual consumption condition. Error bars correspond to standard errors of the
mean. (B) Bayesian estimation of the effect of EnD and soda label on incentive motivation. The
upper and middle left panels depict histrograms of the observed beta estimates for the effect of
incentives on cognitive performances in the EnD label group (green), Soda label group (blue)
with representative examples of posterior predictive distributions superimposed. The upper and
middle right panels depict the estimated posterior distributions of these effects given the observed
data with mean (mode) and marginal minimal (min) and maximal (max) values. The lower panels
depict the posterior distribution of mean differences and effect sizes for this mean difference.
ROPE designates the region of practical equivalence (red broken bars). Note, the green bar
indicates the localization of zero mean difference, which falls outside the 95% high density
interval (HDI).
16
SI Fig. 1. Mediation analysis diagram for the direct effect of label on cognitive performance
(paths c and c'), the effect of label on expectancy (i.e., anticipated performance) (path a), the
effect of expectancy on cognitive performance (path b), and the mediating effect of expectancy
(path ab). * p < .05 two-tailed, + p < .05 one-tailed. Bar graphs depict effects of drink and label on
belief and cognitive performance, respectively. Error bars correspond to standard errors of the
mean.
SI Fig. 2. Effect of label on incentive motivation during difficult and easy trials. The bars
represent the difference in cognitive performance in 10- versus 1-point trials averaged across
participants in each group for difficult (left) and easy (right) trials. Error bars correspond to
standard errors of the mean.
SI Fig. 3. Poster highlighting the benefits of EnDs such as Red Bull for performance under
pressure. Note that all participants saw this poster (in French), because it was taped on the wall of
the room in which they were administered the drinks. Participants assigned to the placebo or open
EnD groups were explicitly asked to read it.
References
1. Pettit ML & DeBarr KA (2011) Perceived stress, energy drink consumption, and academic performance among college students. (Translated from eng) J Am Coll Health 59(5):335-341.
2. Pettit ML & DeBarr KA (2011) Perceived Stress, Energy Drink Consumption, and Academic Performance Among College Students. J. Am. Coll. Health 59(5):335-341.
3. Sahakian B & Morein-Zamir S (2007) Professor's little helper. (Translated from eng) Nature 450(7173):1157-1159.
4. Smith M, Farah, E., Farah, M.J. (2011) Are prescription stimulants "smart pills"? The epidemiology and cognitive neuroscience of prescription stimulant use by normal healthy individuals. Psychological Bulletin 137(5):714-741.
5. Scholey AB & Kennedy DO (2004) Cognitive and physiological effects of an “energy drink”: an evaluation of the whole drink and of glucose, caffeine and herbal flavouring fractions. Psychopharmacology (Berl). 176(3):320-330.
17
6. Kennedy DO & Scholey AB (2004) A glucose-caffeine ‘energy drink’ ameliorates subjective and performance deficits during prolonged cognitive demand. Appetite 42(3):331-333.
7. Brasel SA & Gips J (2011) Red Bull "Gives You Wings" for better or worse: A double-edged impact of brand exposure on consumer performance. (Translated from English) J Cons. Psychol. 21(1):57-64.
8. Irmak C, Block LG, & Fitzsimons GJ (2005) The placebo effect in marketing: Sometimes you just have to want it to work. (Translated from English) J. Marketing Res. 42(4):406-409.
9. Plassmann H, Wager, T.D. (2014) How expectanies shape consumption experiences. . The interdisciplinary science of consumption., ed Stephanie D. Preston MLK, Brian Knutson (MIT Press).
10. Schweinhardt P, Seminowicz DA, Jaeger E, Duncan GH, & Bushnell MC (2009) The anatomy of the mesolimbic reward system: a link between personality and the placebo analgesic response. (Translated from eng) J Neurosci 29(15):4882-4887.
11. Scott DJ, et al. (2008) Placebo and nocebo effects are defined by opposite opioid and dopaminergic responses. (Translated from eng) Arch Gen Psychiatry 65(2):220-231.
12. Benedetti F, et al. (2004) Placebo-responsive Parkinson patients show decreased activity in single neurons of subthalamic nucleus. Nature Neuroscience 7(6):587-588.
13. de la Fuente-Fernandez R, et al. (2001) Expectation and dopamine release: mechanism of the placebo effect in Parkinson's disease. (Translated from eng) Science 293(5532):1164-1166.
14. Lidstone SC, et al. (2010) Effects of expectation on placebo-induced dopamine release in Parkinson disease. (Translated from eng) Arch Gen Psychiatry 67(8):857-865.
15. Schmidt L, Braun EK, Wager TD, & Shohamy D (2014) Mind matters: placebo enhances reward learning in Parkinson's disease. (Translated from Eng) Nat Neurosci.
16. Ben-Shaanan TL, Azulay-Debby, H., Dubovik, T., Starosvetsky, E., Korin, B., Schiller, M., Green, N.L., Admon, Y., Hakim, F., Shen-Orr, S.S., Rolls, A. (2016) Activation of the reward system boosts innate and adaptive immunity. Nature Medicine 22:940-944.
17. Schmidt L, Lebreton M, Clery-Melin ML, Daunizeau J, & Pessiglione M (2012) Neural mechanisms underlying motivation of mental versus physical effort. (Translated from eng) PLoS Biol 10(2):e1001266.
18. Wager TD & Atlas LY (2015) The neuroscience of placebo effects: connecting context, learning and health. (Translated from eng) Nat Rev Neurosci 16(7):403-418.
19. Schmidt L, et al. (2008) Disconnecting force from money: effects of basal ganglia damage on incentive motivation. (Translated from eng) Brain 131(Pt 5):1303-1310.
20. Berridge KC, Robinson TE, & Aldridge JW (2009) Dissecting components of reward: 'liking', 'wanting', and learning. (Translated from eng) Curr Opin Pharmacol 9(1):65-73.
21. Cumming G (2014) The new statistics: why and how. Psychological Science 25(7):7-29. 22. Kruschke JK (2013) Bayesian estimation supersedes the t test. Journal of Experimental
Psychology: General 142(2):1-33. 23. Howard MA, Marczinski, C.A. (2010) Acute effects of a glucose energy drink on
behavioral control. Experimental and Clinical Psychopharmacology 18(6):553-561. 24. Scholey AB, Kennedy, D.O. (2004) Cognitive and physiological effects of an energy
drink: an evaluation of the whole drink and of glucose, caffeine and herbal flavouring fractions. Psychopharmacology 176:220-330.
18
25. Irmak C, Block, L.G., Fitzsimons, G.J. (2005) The placebo effect in marketing: sometimes you just have to want it to work. Journal of Marketing Research 42:406-409.
26. Pessiglione M, et al. (2007) How the brain translates money into force: a neuroimaging study of subliminal motivation. Science 316(5826):904-906.
27. Aarts E, van Holstein M, & Cools R (2011) Striatal Dopamine and the Interface between Motivation and Cognition. (Translated from eng) Front Psychol 2:163.
28. Kruschke JK (2014) Doeing Bayesian data analysis. A tutorial zith R, JAGS and Stan. 2nd Edition. Academic Press, Amsterdam.
Figure1
a
b
500 ms
ITI#
500 ms
Incen've#
3000 ms
Effort# Outcome#
####### #######10#P# #######10#P#
9 7 6 2 1 6 5 2 4 5 7 2 4 8 3 6 2 0 5 6
TOTAL#2.5#points# ####### +
3500 ms
Ra'ng#
500 ms
How#many#steps#do#
you#expect#to#climb#up#in#the#next#trials?#
label: Sprite, drink: Sprite label: Red Bull, drink: Sprite
label: Sprite, drink: Red Bull label: Red Bull, drink: Red Bull
Open energy drink
Placebo
Hidden energy drink
Control
a
b
Figure2
% P
erfo
rman
ce Label: Red Bull
Label: Sprite
Incentive (points to earn)
Drink: Red Bull Drink: Sprite
43%
45%
47%
49%
51%
53%
55%
1 5 10 1 5 10
Posterior distribution differences of means
µ Red Bull label - µ Sprite label
mode=0.107
Min=0.047 Max=0.1750 0.05 0.1 0.15 0.2
Posterior distribution of effect sizes
mode=0.735
Min=0.314 Max=1.218
0%inROPE
(µ Red Bull label - µ Sprite label)/(Sqrt (σ Red Bull label + σ Sprite label)/2)
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
Red Bull Label Group
Sprite Label Group
Observed Data with Posterior Predictions
N=44
P(In
cent
ive
mot
ivat
ion)
-0.4 -0.2 0 0.2 0.4 0.6
3 2.5 2 1.5 1 0.5 0 -0.1 -0.05 0 0.1 0.05 0.15
Posterior distribution of means
mode=0.089
Min=0.044 Max=0.136
µ Red Bull label
-0.1 -0.05 0 0.1 0.05 0.15
Posterior distribution of means
µ Sprite label
mode=-0.024
Min=-0.068 Max=0.023
Incentive motivation -0.4 -0.2 0 0.2 0.4 0.6
N=44 3 2.5 2 1.5 1 0.5 0
Observed Data with Posterior Predictions
P(In
cent
ive
mot
ivat
ion)
Incentive motivation
Red Bull versus Sprite Label Group
S1
a
ab=0.005, SE=0.004*
c=0.021, SE=0.01*
c’=0.017, SE=0.01+
Belief
Label Perfor- mance
% a
ntic
ipat
ed p
erfo
rman
ce
% p
erfo
rman
ce
Label Red Bull
Label Sprite
54%
59%
64%
69%
74%
Red Bull Sprite
drink
44%
46%
48%
50%
52%
54%
Red Bull Sprite
drink
0
1
2
Red Bull Sprite
drink
S2
-3%
-1%
1%
3%
5%
Red Bull Sprite
drink
-3%
-1%
1%
3%
5%
Red Bull Sprite
drink
Effect of label on incentive motivation %
per
form
ance
(10
– 1
poin
ts)
Difficult trials
Label Red Bull Label Sprite
Easy trials
Drink: Red Bull
Drink: Sprite
Drink: Red Bull
Drink: Sprite
S3
A can of Red Bull contains natural and healthy ingredients like taurine, vitamin B and caffeine. Taurine is a natural substance produced by the body under stress, and mental or physical effort. A scientific study from 2001 published in the European journal Amino Acids has found that 10 minutes after consumption of Red Bull, taurine and caffeine peak in your blood stream. Your cardiac rhythm gets faster, your blood pressure increases, and you feel awake as the stimulant kicks in. Moreover, caffeine is an ergogenic substance—it increases performance and wakefulness—via stimulation of the central nervous system. This is beneficial for mental effort during exams.
Red Bull improves performance and concentration, so you can tackle everything from physics to workouts. It also increases endurance, which means you can enjoy the more important things afterward.
Red Bull
Coffee
Tea
Soda
Performance per 25 cl:
Table 1
Linear Mixed Effects Model Predicting Cognitive Performance During the Numerical Stroop Task
Note: CI = confidence interval, LL = lower limit, UL = upper limit, DF = degrees of freedom, SD = standard deviation
Model informationNumber of
Observations
Fixed effects coefficients
Random effects
coefficients
Covariance
parameters
6336 16 264 5
AIC BIC Log Likelihood
Deviance
22836 22978 −11397 22794
Fixed effects predictors β SD t DF p LL UL
Intercept 4.84 0.10 47.67 6320 <.001 4.64 5.04Trial number 0.19 0.02 10.40 6320 <.001 0.15 0.22Incentives 0.03 0.02 1.85 6320 .06 −0.002 0.07Difficulty −1.05 0.02 −58.32 6320 <.001 −1.08 −1.02Label 0.21 0.10 2.13 6320 .04 0.01 0.41Drink −0.002 0.10 −0.02 6320 .98 −0.20 0.19Trial number by Incentives 0.01 0.02 0.48 6320 .63 −0.03 0.04Trial number by Difficulty −0.04 0.02 −2.11 6320 .03 −0.07 −0.003Incentives by Difficulty 0.02 0.02 1.34 6320 .18 −0.01 0.06Trial number by Label 0.01 0.02 0.61 6320 .55 −0.02 0.04Incentives by Label 0.05 0.02 3.02 6320 .002 0.02 0.09Difficulty by Label −0.07 0.02 −4.13 6320 <.001 −0.11 −0.04Trial number by Drink 0.01 0.02 0.70 6320 .49 −0.02 0.05Incentives by Drink −0.003 0.02 −0.19 6320 .83 −0.04 0.03Difficulty by Drink −0.01 0.02 −0.63 6320 .53 −0.05 0.02Label by Drink −0.03 0.10 −0.33 6320 .74 −0.23 0.16
Random effects covariance parameters
Subject (88 Levels) β LL UL
Intercept 0.93 0.81 1.1Incentives 0.02 0.003 0.13
Error β LL UL
Residual 1.43 1.41 1.45
95% CI
95% CI
1
Red Bull Gives You Incentive Motivation: Understanding Placebo Effects of Energy Drinks on Cognitive Performance Liane Schmidt,1,3 Pierre Chandon,2 Mathias Pessiglione,4 and Hilke Plassmann2,3 1Centre Multidisciplinaire des Sciences Comportementales Sorbonne Universités-INSEAD
2 INSEAD, Fontainebleau, France 3Laboratoire de Neurosciences Cognitives, INSERM U960, Département de Sciences Cognitives, Ecole Normale Supérieure, Paris, France 4 Motivation, Brain, Behavior Team, INSERM UMRS975, Institute du Cerveau et de la Moelle Epinière, Paris, France
Supplementary Materials 1. Additional analyses and results
1.1. Effects on reaction times 1.2. Alternative general linear model analysis of cognitive performance 1.3. Mediation analysis for the effect of label on cognitive performance 1.4. Effects on confidence
2. Additional supplementary tables 1–9 3. Instructions
3.1. Recruitment e-mail 3.2. Experimental instructions and drink administration 3.3. Instructions for numerical Stroop task
2
1. Additional analysis and results
1.1. Effects on reaction times:
Analogous to performance, a linear mixed effects model (lme) using maximum log likelihood
was conducted to fit the fitlme function in MATLAB for average reaction times during the
numerical Stroop task, with fixed effects for label (coded 1 for soda or 2 for EnD), drink
(coded 1 for soda or 2 EnD), trial number (coded 1 to 72, to correct for possible learning
effects), points to win (coded 1, 2, or 3 to assess incentive motivation), difficulty (coded 1 for
easy, 2 for difficult), all possible two-way interactions, and uncorrelated random effects for
intercept and points to win nested by participant (coded 1 to 88) and intercept nested by label
(coded 1 for soda or 2 for EnD). All regressors were z-scored. Results are reported below in
SI Table 1. We found a significant main effect of trial number (β = –0.01, p = .03), suggesting
that the participants’ responses became faster across trials (SI Table 1), which is in line with
the positive effect of trial number on performance (Table 1). Moreover, reaction times slowed
down in difficult trials compared to easy trials, as indicated by a significant positive effect of
difficulty (β = 0.05, p < .001).
3
1.2. Alternative general linear model analysis of cognitive performances:
An alternative statistical analysis of the data was performed using a generalized linear model
(GLM) predicting each participant’s cognitive performance (i.e., % of steps climbed up the
scale on each trial) with the following regressors (z-scored): trial number to correct for
possible learning effects, points to earn to assess incentive motivation, difficulty, and all
possible interactions. Regression coefficients (i.e., beta estimates) for the intercept and slopes
(SI Table 2) were fit into a second-level random effects analysis using factorial 2x2 analysis
of variance (ANOVA) to obtain main effects of label, of drink, and of the interaction label by
drink on the intercept and all slopes.
a) Second-level random effects of label on the intercept:
A significant main effect of label was observed on the intercept of cognitive performance,
F(1,87) = 4.14, p = .04, η2 = .05. Participants assigned to an EnD-label group started off with
better performance than participants assigned to the soda-label groups. There was no
significant main effect of drink (F(1,87) = 0, p > .5) and no interaction between label and
drink (F(1,87) = 0.18, p > .5).
b) Second-level random effects of label on the slope of performance across trials:
To assess potential effects of learning (i.e., increase in performance across trials) or fatigue
(i.e., decrease in performance across trials), a second-level random effects ANOVA revealed
a significant interaction between label and drink on the slope of performance across trials,
F(1,87) = 9.5, p = .003, η2 = .10. No significant main effects of label (F(1,87) = 0.3, p > .5) or
drink (F(1,87) = 0.7, p = .4) were found. Participants who were drinking and EnD labeled as
an EnD (i.e., open EnD) improved in performance more across trials than those in the placebo
and hidden EnD groups (post hoc two-sampled, two-tailed t-tests on the beta estimates for
trial number: open EnD > placebo: t(42) = 2.5, p = .02, Cohen’s d = 3.5; open > hidden EnD:
4
t(42) = 3.1, p = .004, Cohen’s d = 4.3). Similarly, participants in the control group, who were
administered a soda labeled as a soda, tended to improve more in performance across trials
compared to the hidden EnD (control > hidden EnD: t(42) = 1.9, p = .03, one-tailed, Cohen’s
d = 2.6) and placebo (control > placebo: t(42) = 1.6, p = .06., one-tailed, Cohen’s d = 2.2)
groups. No significant differences were found between the open EnD and control group (open
EnD > control: t(42) = 1.2, p = .25). This finding suggests that participants who were not
deceived about the content of the drink they consumed improved in task performance across
trials compared to participants who were deceived about the drink’s identity.
c) Second-level random effects of label on the slope of performance across incentives:
An ANOVA revealed a main effect of label (F(1,87) = 11.9, p < .001, η2 =.13) on the slopes
of performance across incentives. Participants who were administered a drink labeled as an
EnD allocated their effort more according to the magnitude of incentives (i.e., points to earn)
(linear effect of incentives placebo group: r = 0.1 ± 0.03, p < .001; open EnD group: r = 0.06
± 0.03, p < .05) than participants who were administered a drink labeled as soda (control
group: r = –0.03 ± 0.03, p = .24; hidden EnD group: r = –0.01 ± 0.03, p = .76). There was no
significant main effect of drink (F(1,87) = 0.01, p > .5), nor was there an interaction between
label and drink (F(1,87) = 1.28, p > .25).
d) Second-level random effects of label on the slope of performance across difficulty
conditions: The average regression coefficient for the effect of difficulty (easy vs. difficult)
was negative in each group, suggesting that performance was limited in difficult trials (i.e.,
50% congruency of number pairs) compared to easy trials (i.e., 100% congruency of number
pairs). Yet the ANOVA found no significant main effects of label (F(1,87) = 1.96, p = .16) or
drink (F(1,87) = 0.05, p > .5), and no interaction between label and drink (F(1,87) = 0.06, p >
.5). This finding stands in contrast to the results from a more powerful linear mixed effects
model (reported in the main text) that indicated a significant interaction label by difficulty
5
(β = –0.07, p < .001) (Table 1). As shown in SI Figure 3, further exploration of the data
revealed that this interaction might be due to enhanced incentive motivation in the placebo
and open EnD groups during difficult trials, as suggested by a significant three-way
interaction between label, incentives, and difficulty (linear mixed effects model on cognitive
performance: β = –0.06, SE = 0.02, p < .001, 95% CI [–0.09 to –0.02]) (SI Figure 1).
1.3. Mediation analysis for the effect of label on cognitive performance:
To further investigate the role of participants’ expectancies, we conducted a formal mediation
analysis of label effects on cognitive performance by anticipated performance ratings. To this
aim we performed a mediation analysis using the Mediation Toolbox
(http://wagerlab.colorado.edu/tool). Mediation analysis extends standard analyses by jointly
considering two dynamic relationships: (1) between the label and the associated expectancy of
the EnD’s efficacy and (2) between the expectancy of the EnD’s efficacy and cognitive
performance. Testing these effects involves the following path regressions(1):
(1) path c: y = cx + ey
(2) path a: m = ax + em
(3) path b: y = bm + c'x + e'y
The variables x, y, and m correspond to participant-by-participant data vectors containing each
participant’s average cognitive performance (y), label (i.e., EnD label coded 1 and soda label
coded –1) (x), and the expectancy of the efficacy of the drink that participants thought they
had consumed given on the first of the 12 anticipated performance rating trials (m). The
variables ey, em, and e'y denote residual variance for each of the three regression analyses,
respectively. The first regression, called path c, tests the direct (or total) effect of the
experimental manipulation (x = label) on behavior (y = cognitive performance). The second
regression, called path a, tests the relationship between the experimental manipulation (x =
label) on the mediator variable (m = expectancy, i.e.; anticipated performance). The third
6
regression, called path b, assesses the relationship between the mediator (m = anticipated
performance) and behavior (y = actual cognitive performance), controlling for the
experimental manipulation (x = label). Finally, single-level mediation is assessed by the
product of path a and path b coefficients: a * b = c – c', with c' corresponding to the direct
effect of label on actual performance after controlling for mediation by anticipated
performance. In order to control for joint effects of the verum drink consumed, drink was
added as a covariate (coded 1 for soda and 2 for EnD drink).
A bootstrap test was conducted to estimate the significance of path coefficients (2, 3). This
involved estimating the distribution of individual path coefficients by randomly sampling
with replacement 10,000 observations from the matrix of [a, b, c, c', a*b] path coefficients.
Two-tailed p-values were calculated from the bootstrap confidence intervals.
As outlined in SI figure 1 this mediation framework found that (1) label positively predicted
the participants’ expectancy (ßa = 0.04, SE = 0.02, p = .06 two-tailed), with participants
expecting to perform better when administered a drink labeled as EnD compared to soda; (2)
expectancy significantly predicted cognitive performance, controlling for joint effects of label
(ßb = 0.11, SE = 0.04, p = .01 two-tailed); and (3) label significantly predicted cognitive
performance corresponding to the main effect of label on performance (ßc = 0.021, SE =
0.010, p =.035 two-tailed). Crucially, expectancy formally mediated the effect of label on
cognitive performance as indicated by a significant path ab coefficient (ßab = 0.005, SE =
0.004, p =.04 two-tailed). The mediating effect of expectancy was partial as the direct effect
of label on performance trended toward significance after controlling for belief strength (ßc' =
0.016, SE = 0.010, p =.10 two-tailed).
Taken together, these findings suggest that the expectancy of performing better linked to the
efficacy of the drink that participants thought they had consumed increased their cognitive
performance.
7
1.4. Effects on confidence in performance:
Participants rated their confidence every sixth trial during the numerical Stroop task, for a
total of 12 measures. A linear mixed effects model was fit to these ratings with the following
fixed effects regressors: label (coded 1 for soda or 2 for EnD), drink (coded 1 for soda or 2 for
EnD), trial number (coded 1 to 12, to correct for possible learning/habituation effects), all
possible two-way interactions, and an uncorrelated random effect for intercept grouped by
participant (coded 1 to 88). Results are reported in SI Table 4.
We found a significant negative effect of trial number (ß = –0.22, p < .001), suggesting that
confidence in performance decreased across trials during the numerical Stroop task. This
effect interacted with label (ß = –0.08, p = .04) as that confidence decreased faster over trials
in the placebo and open EnD groups than in the control or hidden EnD groups.
8
2. Supplementary tables 1 - 4
Supplementary Table 1 Linear Mixed Effects Model Predicting Reaction Time During the Numerical Stroop Task
Model informationNumber of
ObservationsFixed effects coefficients
Random effects coefficients
Covariance parameters
6336 16 264 5
AIC BIC Log Likelihood Deviance
6446.4 6588.2 −3202.2 6404.4
Fixed effects predictors β SD t DF p LL UL
Intercept 0.18 0.01 16.02 6320 .16 0.16 0.20Trial number −0.01 0.005 −2.15 6320 .03 −0.02 −0.0009Incentives −0.001 0.006 −0.17 6320 .86 −0.01 0.01Difficulty 0.05 0.005 9.78 6320 <.001 0.04 0.06Label −0.00004 0.01 −0.004 6320 .99 −0.02 0.02Drink −0.006 0.01 −0.51 6320 .61 −0.03 0.02Trial number by Incentives 0.0006 0.005 0.12 6320 .90 −0.01 0.01Trial number by Difficulty −0.01 0.005 −1.88 6320 .06 −0.02 0.0004Incentives by Difficulty −0.002 0.005 −0.41 6320 .68 −0.01 0.008Trial number by Label −0.001 0.005 −0.16 6320 .87 −0.01 0.009Incentives by Label −0.002 0.006 −0.28 6320 .77 −0.01 0.01Difficulty by Label 0.003 0.005 0.65 6320 .52 −0.006 0.01Trial number by Drink −0.008 0.005 −1.65 6320 .09 −0.02 0.001Incentives by Drink −0.001 0.006 −0.22 6320 .82 −0.01 0.01Difficulty by Drink 0.001 0.005 0.26 6320 .79 −0.008 0.01Label by Drink 0.01 0.01 1.31 6320 .19 −0.007 0.03Random effects covariance
parameters
Subject (88 Levels) β LL UL
Intercept 0.06 NaN NaNPoints to win 0.03 0.02 0.05
Error β LL UL
Residual 0.39 0.38 0.40
95% CI
95% CI
Note: CI = confidence interval, LL = lower limit, UL = upper limit, DF = degrees of freedom, SD = standard deviation
9
Supplementary Table 2 Multiple Linear Regression Models Predicting Performance During the Numerical Stroop Task for Each of the Four Experimental Groups
Placebo group: drink soda, label EnD β SD t Z p
Intercept 5.10 0.21 23.87 8.13 <.001Trial number 0.12 0.05 2.60 2.12 .02Incentives 0.10 0.03 2.95 2.42 <.001Difficulty -1.11 0.13 -8.74 -5.50 <.001Trial number by Incentives -0.01 0.03 -0.38 -0.55 .71Trial number by Difficulty -0.08 0.03 -2.99 -2.45 <.001Incentives by Difficulty 0.04 0.03 1.69 1.25 .11Trial number by Incentives by Difficulty -0.03 0.03 -1.11 -0.58 .28
Open energy drink group: drink EnD, label EnD
β SD t Z p
Intercept 5.01 0.22 23.27 8.13 <.001Trial number 0.27 0.03 9.25 5.62 <.001Incentives 0.06 0.03 2.02 1.58 .05Difficulty -1.11 0.10 -11.09 -6.18 <.001Trial number by Incentives 0.01 0.05 0.31 0.72 .76Trial number by Difficulty -0.06 0.05 -1.29 -0.80 .21Incentives by Difficulty 0.04 0.04 0.96 0.39 .35Trial number by Incentives by Difficulty 0.01 0.03 0.39 0.52 .70
Control group: drink soda, label soda
β SD t Z p
Intercept 4.59 0.25 18.46 7.57 <.001Trial number 0.22 0.03 7.82 5.12 <.001Incentives -0.03 0.03 -1.21 -0.71 .24Difficulty -0.93 0.09 -10.36 -5.99 <.001Trial number by Incentives 0.01 0.03 0.34 0.63 .74Trial number by Difficulty -0.01 0.05 -0.27 -0.80 .79Incentives by Difficulty -0.01 0.02 -0.30 -0.72 .77Trial number by Incentives by Difficulty -0.03 0.03 -0.97 -0.41 .34
Hidden energy drink group: drink EnD, label soda β SD t Z p
Intercept 4.68 0.14 33.68 8.13 <.001Trial number 0.15 0.03 4.99 3.82 <.001Incentives -0.01 0.03 -0.31 -0.71 .76Difficulty -0.99 0.09 -10.94 -6.15 <.001Trial number by Incentives 0.04 0.03 1.40 0.93 .18Trial number by Difficulty -0.00 0.03 -0.14 -1.22 .88Incentives by Difficulty 0.02 0.03 0.58 0.17 .60Trial number by Incentives by Difficulty 0.05 0.03 1.36 0.88 .19 Note: SD = standard deviation. Values describe effects of predicting regressors on the second level (i.e., population N = 22) for each group, respectively. Individual beta estimates for regressors of interest were used as dependent variables for a 2x2 [label by drink] analysis of variance, reported in sections 2.1 a–d.
10
Supplementary Table 3 Linear Mixed Effects Model Predicting Anticipated Performance During the Numerical Stroop Task
Model informationNumber of
ObservationsFixed effects coefficients
Random effects coefficients
Covariance parameters
88 4 88 2AIC BIC Log Likelihood Deviance
392.51 407.38 −190.26 380.51
Fixed effects predictors β SD t DF p LL ULIntercept 6.58 0.22 29.36 84 <.001 6.13 7.02Label 0.42 0.22 1.87 84 .06 −0.02 0.86Drink 0.15 0.22 0.66 84 .51 −0.29 0.59Label by Drink −0.24 0.22 −1.06 84 .29 −0.68 0.20
Random effects covariance parameters 95% CI
Subject (88 Levels) β LL ULIntercept 1.48 0 Inf
Error β LL ULResidual 1.48 0 Inf
95% CI
Note: CI = confidence interval, LL = lower limit, UL = upper limit, DF = degrees of freedom, SD = standard deviation
Supplementary Table 4 Linear Mixed Effects Model Predicting Confidence in Performance During the Numerical Stroop Task
Model informationNumber of
ObservationsFixed effects coefficients
Random effects coefficients
Covariance parameters
1056 7 88 2AIC BIC Log Likelihood Deviance
3810 3854.6 −1896 3792 95% CI
Fixed effects predictors β SD t DF p LL ULIntercept 4.67 0.16 29.01 1049 <.001 4.36 4.99Trial number −0.22 0.04 −5.42 1049 <.001 −0.31 −0.14Label 0.15 0.16 0.91 1049 .36 −0.16 0.46Drink 0.04 0.16 0.27 1049 .78 −0.27 0.36Trial number by Label −0.08 0.04 −2.02 1049 .04 −0.16 −0.002Trial number by Drink −0.02 0.04 −0.38 1049 .69 −0.09 0.06
Label by Drink −0.16 0.16 −0.98 1049 .32 −0.47 0.15
Random effects covariance parameters
95% CI
Subject (88 Levels) β LL ULIntercept 1.46 1.25 1.71
Error β LL ULResidual 1.29 1.24 1.35 Note: CI = confidence interval, LL = lower limit, UL = upper limit, DF = degrees of freedom, SD = standard deviation
11
3. Instructions 3.1 Recruitment mail
Hi, You are receiving this email because you are on the mailing list of the Sorbonne Universités-INSEAD Behavioral Lab. We are currently recruiting participants for a new study called “Energy Drinks.” The study involves drinking a soda-like sweet drink that may contain caffeine prior to performing a series of tasks on a computer. It will take about 1 hour, and your participation will be remunerated €12 plus a bonus calculated according to performance.
Please respond here or at http://participant.inseadlab.com if you are interested in participating.
IMPORTANT: You must have no food allergies. Please do not drink any caffeinated drinks or alcohol at least 2 hours prior to the experiment. An alcohol test will be administered prior to enrollment.
Best,
Centre Multidisciplinaire des Sciences Comportementales Sorbonne Universités-INSEAD 6 rue Victor Cousin
75005 Paris
3.2 Experiment instructions and drink administration For participants assigned to the open energy drink group (i.e., drink Red Bull, label Red Bull) and placebo group (i.e., drink Sprite, label Red Bull): We invited you to this study to test the effect of energy drinks like Red Bull on your concentration, memory, and overall performance during exams. You were assigned to the group of participants that as a test group will have a drink of Red Bull before performing a couple of tests that are frequently part of prestigious accounting exams, and that assess some of the abilities of future employees in finance. College students usually buy Red Bull to be smarter, concentrate better, and decrease fatigue during learning for competitive exams such as national concourses. As a consequence, ads like the one below are frequently added to Amazon book orders:
12
For participants assigned to the control group (i.e., drink Sprite, label Sprite) and hidden energy drink group (i.e., drink Red Bull, label Sprite): We invited you to this study to test the effect of sodas and energy drinks like Red Bull on your concentration, memory, and overall performance during exams. You were assigned to the group of participants that as a control group will have a regular soda before performing a couple of tests that are frequently part of prestigious accounting exams, and that assess some of the abilities of future employees in finance. All participants were then told the following: You will perform two tasks. The first task consists of checking pairs of numbers as fast as possible and correctly identifying which one is the greatest The second task consists of learning stock market ticker symbols of some of the largest French companies. This is important for accountants and for anyone who is investing in the stock market. Your score on each task will determine your overall score, which will determine how much money you will be able to earn in the study. 3.3 Instructions for the numerical Stroop task The aim of the task is to score as high as possible in terms of total points during this exam. This first task comprises 72 trials and will last 10 minutes. To get started press the “S” key when the word “ready” is displayed on the screen. Each trial a coin, indicating the number of points you can score, will be displayed on the screen. After a few seconds, a scale will be displayed on the screen. The scale comprises 10 steps. Each step corresponds to a fraction of the number of points you can win. For instance, the top step corresponds to the whole number of points you can win, and the middle step to half of the number of points you can win.
13
To the left of each step a number pair will be displayed. The numbers within each pair vary in numerical and physical size. To win a fraction of the amount of points, you have to move a white cursor up the scale by selecting the numerically bigger number in each pair.
• To choose the right number, press the right arrow key (�) • To choose the left number, press the left arrow key (�)
If your choice is correct, the white cursor will move up one step to the next number pair. Thus, your score is proportional to the number of points at stake in each trial and your performance on the scale (the step the white cursor reaches on the scale). At the end of each trial a cumulative total will be displayed on the screen, indicting how many total points you have won so far. Before you start the task there will be a short practice session to get used to displays and response keys.
Good luck!
1. BaronRM&KennyDA(1986)Themoderator-mediatorvariabledistinction
insocialpsychologicalresearch:conceptual,strategic,andstatisticalconsiderations.(TranslatedfromEng)JPersSocPsychol51(6):1173-1182(inEng).
2. WooCW,RoyM,BuhleJT,&WagerTD(2015)Distinctbrainsystemsmediatetheeffectsofnociceptiveinputandself-regulationonpain.(Translatedfromeng)PLoSBiol13(1):e1002036(ineng).
3. AtlasLY,BolgerN,LindquistMA,&WagerTD(2010)Brainmediatorsofpredictivecueeffectsonperceivedpain.(Translatedfromeng)JNeurosci30(39):12964-12977(ineng).