Cross-modal interactions of auditory and visual temporal modulation were examined in a game-like experimental framework. Participants observed an audiovisual stimulus (an animated, sound-emitting fish) whose sound intensity and/or visual size oscillated sinusoidally at either 6 or 7 Hz. Participants made speeded judgments about the modulation rate in either the auditory or visual modality while doing their best to ignore information from the other modality. Modulation rate in the task-irrelevant modality matched the modulation rate in the task-relevant modality (congruent conditions), was at the other rate (incongruent conditions), or had no modulation (unmodulated conditions). Both performance accuracy and parameter estimates from drift-diffusion decision modeling indicated that (1) the presence of temporal modulation in both modalities, regardless of whether modulations were matched or mismatched in rate, resulted in audiovisual interactions; (2) congruence in audiovisual temporal modulation resulted in more reliable information processing; and (3) the effects of congruence appeared to be stronger when judging visual modulation rates (i.e., audition influencing vision), than when judging auditory modulation rates (i.e., vision influencing audition). The results demonstrate that audiovisual interactions from temporal modulations are bi-directional in nature, but with potential asymmetries in the size of the effect in each direction.

1.
Alais
,
D.
, and
Burr
,
D.
(
2004
). “
The ventriloquist effect results from near-optimal bimodal integration
,”
Curr. Biol.
14
,
257
262
.
2.
Bates
,
D.
,
Mächler
,
M.
,
Bolker
,
B.
, and
Walker
,
S.
(
2015
). “
Fitting linear mixed-effects models using lme4
,”
J. Stat. Softw.
67
,
1
48
.
3.
Bizley
,
J. K.
,
Maddox
,
R. K.
, and
Lee
,
A. K. C.
(
2016
). “
Defining auditory-visual objects: Behavioral tests and physiological mechanisms
,”
Trends Neurosci.
39
,
74
85
.
4.
Bizley
,
J. K.
,
Shinn-Cunningham
,
B. G.
, and
Lee
,
A. K. C.
(
2012
). “
Nothing is irrelevant in a noisy world: Sensory illusions reveal obligatory within-and across-modality integration
,”
J. Neurosci.
32
,
13402
13410
.
5.
Bogacz
,
R.
,
Brown
,
E.
,
Moehlis
,
J.
,
Holmes
,
P.
, and
Cohen
,
J. D.
(
2006
). “
The physics of optimal decision making: A formal analysis of models of performance in two-alternative forced-choice tasks
,”
Psychol. Rev.
113
,
700
765
.
6.
Cavanagh
,
J. F.
,
Wiecki
,
T. V.
,
Cohen
,
M. X.
,
Figueroa
,
C. M.
,
Samanta
,
J.
,
Sherman
,
S. J.
, and
Frank
,
M. J.
(
2011
). “
Subthalamic nucleus stimulation reverses mediofrontal influence over decision threshold
,”
Nat. Neurosci.
14
,
1462
1467
.
6.
Chandrasekaran
,
C.
,
Trubanova
,
A.
,
Stillittano
,
S.
,
Caplier
,
A.
, and
Ghazanfar
,
A. A.
(
2009
). “
The natural statistics of audiovisual speech
,”
PLoS Computat. Biol.
5
(7),
e1000436
.
7.
Cohen
,
J.
(
1992
). “
A power primer
,”
Psychol. Bull.
112
,
115
159
.
8.
Denison
,
R. N.
,
Driver
,
J.
, and
Ruff
,
C. C.
(
2013
). “
Temporal structure and complexity affect audio-visual correspondence detection
,”
Front. Psychol.
3
,
619
.
9.
Euston
,
D. R.
,
Gruber
,
A. J.
, and
McNaughton
,
B. L.
(
2012
). “
The role of medial prefrontal cortex in memory and decision making
,”
Neuron
76
,
1057
1070
.
10.
Faraway
,
J. J.
(
2014
).
Linear Models With R
, 2nd ed. (
CRC Press
,
Boca Raton, FL)
.
10.
Fleiss
,
J. L.
,
Cooper
,
H.
, and
Hedges
,
L. V.
, eds. (
1994
).
The Handbook of Research Synthesis
(
Russell Sage Foundation
,
New York)
, pp. 245–260.
11.
Forstmann
,
B. U.
,
Ratcliff
,
R.
, and
Wagenmakers
,
E.-J.
(
2016
). “
Sequential sampling models in cognitive neuroscience: Advantages, applications, and extensions
,”
Annu. Rev. Psychol.
67
,
641
666
.
11.
Fujisaka
,
W.
, and
Nishida
,
S.
(
2005
). “
Temporal frequency characteristics of synchrony-asynchrony discrimination of audio-visual signals
,”
Exp. Brain Res.
166
(3–4),
455
464
.
12.
Gebhard
,
J. W.
, and
Mowbray
,
G. H.
(
1959
). “
On discriminating the rate of visual flicker and auditory flutter
,”
Am. J. Psychol.
72
,
521
529
.
12.
Goldberg
,
H.
,
Sun
,
Y.
,
Hickey
,
T. J.
,
Shinn-Cunnigham
,
B.
, and
Sekuler
,
R.
(
2015
). “
Policing fish at Boston's Museum of Science: Studying audiovisual interaction in the wild
,”
i-Perception
6
(4),
1
.
13.
Green
,
D. M.
, and
Swets
,
J. A.
(
1966
).
Signal Detection Theory and Psychophysics
(
Wiley
,
New York
).
14.
Hein
,
G.
,
Doehrmann
,
O.
,
Muller
,
N. G.
,
Kaiser
,
J.
,
Muckli
,
L.
, and
Naumer
,
M. J.
(
2007
). “
Object familiarity and semantic congruency modulate responses in cortical audiovisual integration areas
,”
J. Neurosci.
27
,
7881
7887
.
15.
Heitz
,
R. P.
(
2014
). “
The speed-accuracy tradeoff: History, physiology, methodology, and behavior
,”
Front. Neurosci.
8
,
150
.
16.
Herz
,
D. M.
,
Zavala
,
B. A.
,
Bogacz
,
R.
, and
Brown
,
P.
(
2016
). “
Neural correlates of decision thresholds in the human subthalamic nucleus
,”
Curr. Biol.
26
,
916
920
.
17.
Hickey
,
T. J.
(
2013
).
fishgame
, https://github.com/tjhickey724/fishgame (Last viewed January 4, 2017).
18.
Hothorn
,
T.
,
Bretz
,
F.
,
Westfall
,
P.
,
Heiberger
,
R. M.
,
Schuetzenmeister
,
A.
,
Scheibe
,
S.
, and
Hothorn
,
M. T.
(
2016
).
Package “multcomp
,” http://cran.stat.sfu.ca/web/packages/multcomp/multcomp.pdf (Last viewed February 21, 2017).
19.
Hyndman
,
R. J.
(
2015
).
Package “hdrcde
,” http://cran.stat.sfu.ca/web/packages/hdrcde/hdrcde.pdf (Last viewed February 21, 2017).
20.
Koelewijn
,
T.
,
Bronkhorst
,
A.
, and
Theeuwes
,
J.
(
2010
). “
Attention and the multiple stages of multisensory integration: A review of audiovisual studies
,”
Acta Psychol. (Amst.)
134
,
372
384
.
21.
Kruschke
,
J. K.
(
2013
). “
Bayesian estimation supersedes the t test
,”
J. Exp. Psychol. Gen.
142
,
573
603
.
22.
Kubovy
,
M.
, and
Yu
,
M.
(
2012
). “
Multistability, cross-modal binding and the additivity of conjoined grouping principles
,”
Philos. Trans. R. Soc. Lond. B Biol. Sci.
367
,
954
964
.
23.
Leung
,
H.-C.
,
Skudlarski
,
P.
,
Gatenby
,
J. C.
,
Peterson
,
B. S.
, and
Gore
,
J. C.
(
2000
). “
An event-related functional MRI study of the stroop color word interference task
,”
Cereb. Cortex
10
,
552
560
.
24.
Luck
,
S. J.
, and
Vogel
,
E. K.
(
1997
). “
The capacity of visual working memory for features and conjunctions
,”
Nature
390
,
279
281
.
25.
Maddox
,
R. K.
,
Atilgan
,
H.
,
Bizley
,
J. K.
, and
Lee
,
A. K.
(
2015
). “
Auditory selective attention is enhanced by a task-irrelevant temporally coherent visual stimulus in human listeners
,”
Elife
4
,
e04995
.
26.
Marks
,
L. E.
(
1987
). “
On cross-modal similarity: Auditory-visual interactions in speeded discrimination
,”
J. Exp. Psychol. Hum. Percept. Perform.
13
,
384
394
.
27.
Mathias
,
S. R.
(
2016
). “
Unified analysis of accuracy and reaction times via models of decision making
,”
Proc. Mtgs. Acoust.
26
,
050001
.
28.
Matzke
,
D.
, and
Wagenmakers
,
E.-J.
(
2009
). “
Psychological interpretation of the ex-Gaussian and shifted Wald parameters: A diffusion model analysis
,”
Psychon. Bull. Rev.
16
,
798
817
.
29.
Meredith
,
M. A.
,
Nemitz
,
J. W.
, and
Stein
,
B. E.
(
1987
). “
Determinants of multisensory integration in superior colliculus neurons. I. Temporal factors
,”
J. Neurosci.
7
,
3215
3229
.
30.
Meredith
,
M. A.
, and
Stein
,
B. E.
(
1986
). “
Visual, auditory, and somatosensory convergence on cells in superior colliculus results in multisensory integration
,”
J. Neurophysiol.
56
,
640
662
.
31.
Michalka
,
S. W.
,
Kong
,
L.
,
Rosen
,
M. L.
,
Shinn-Cunningham
,
B. G.
, and
Somers
,
D. C.
(
2015
). “
Short-term memory for space and time flexibly recruit complementary sensory-biased frontal lobe attention networks
,”
Neuron
87
,
882
892
.
32.
Milosavljevic
,
M.
,
Malmaud
,
J.
,
Huth
,
A.
,
Koch
,
C.
, and
Rangel
,
A.
(
2010
). “
The drift diffusion model can account for the accuracy and reaction time of value-based choices under high and low time pressure
,”
Judgm. Decis. Mak.
5
,
437
449
.
32.
Miranda
,
A. T.
, and
Palmer
,
E. M.
(
2013
). “
Intrinsic motivation and attentional capture from gamelike features in a visual search task
,”
Behav. Res. Methods
46
(1),
159
172
.
33.
Molholm
,
S.
,
Martinez
,
A.
,
Shpaner
,
M.
, and
Foxe
,
J. J.
(
2007
). “
Object-based attention is multisensory: Co-activation of an object's representations in ignored sensory modalities
,”
Eur. J. Neurosci.
26
,
499
509
.
34.
Noppeney
,
U.
,
Ostwald
,
D.
, and
Werner
,
S.
(
2010
). “
Perceptual decisions formed by accumulation of audiovisual evidence in prefrontal cortex
,”
J. Neurosci. Off. J. Soc. Neurosci.
30
,
7434
7446
.
35.
Parise
,
C. V.
,
Spence
,
C.
, and
Ernst
,
M. O.
(
2012
). “
When correlation implies causation in multisensory integration
,”
Curr. Biol.
22
,
46
49
.
36.
Patil
,
A.
,
Huard
,
D.
, and
Fonnesbeck
,
C. J.
(
2010
). “
PyMC: Bayesian stochastic modelling in Python
,”
J. Stat. Softw.
35
,
1
.
37.
Ratcliff
,
R.
(
1978
). “
A theory of memory retrieval
,”
Psychol. Rev.
85
,
59
108
.
38.
Ratcliff
,
R.
, and
Childers
,
R.
(
2015
). “
Individual differences and fitting methods for the two-choice diffusion model of decision making
,”
Decision
2
,
237
279
.
39.
Ratcliff
,
R.
, and
McKoon
,
G.
(
2008
). “
The diffusion decision model: Theory and data for two-choice decision tasks
,”
Neural Comput.
20
,
873
922
.
40.
Ratcliff
,
R.
, and
Rouder
,
J. N.
(
1998
). “
Modeling response times for two-choice decisions
,”
Psychol. Sci.
9
,
347
356
.
41.
Recanzone
,
G. H.
(
2002
). “
Auditory influences on visual temporal rate perception
,”
J. Neurophysiol.
89
,
1078
1093
.
42.
Shams
,
L.
,
Kamitani
,
Y.
, and
Shimojo
,
S.
(
2002
). “
Visual illusion induced by sound
,”
Cogn. Brain Res.
14
,
147
152
.
43.
Shinn-Cunningham
,
B. G.
(
2008
). “
Object-based auditory and visual attention
,”
Trends Cogn. Sci.
12
,
182
186
.
44.
Shipley
,
T.
(
1964
). “
Auditory flutter-driving of visual flicker
,”
Science
145
,
1328
1330
.
45.
Soto-Faraco
,
S.
,
Lyons
,
J.
,
Gazzaniga
,
M.
,
Spence
,
C.
, and
Kingstone
,
A.
(
2002
). “
The ventriloquist in motion: Illusory capture of dynamic information across sensory modalities
,”
Cogn. Brain Res.
14
,
139
146
.
46.
Soto-Faraco
,
S.
,
Spence
,
C.
, and
Kingstone
,
A.
(
2004
). “
Cross-modal dynamic capture: Congruency effects in the perception of motion across sensory modalities
,”
J. Exp. Psychol. Hum. Percept. Perform.
30
,
330
345
.
47.
Speckman
,
P. L.
,
Rouder
,
J. N.
,
Morey
,
R. D.
, and
Pratte
,
M. S.
(
2008
). “
Delta plots and coherent distribution ordering
,”
Am. Stat.
62
,
262
266
.
48.
Spence
,
C.
(
2011
). “
Crossmodal correspondences: A tutorial review
,”
Atten. Percept. Psychophys.
73
,
971
995
.
49.
Spence
,
C.
, and
Driver
,
J.
(
1997
). “
On measuring selective attention to an expected sensory modality
,”
Percept. Psychophys.
59
,
389
403
.
50.
Spence
,
C.
, and
Squire
,
S.
(
2003
). “
Multisensory integration: Maintaining the perception of synchrony
,”
Curr. Biol.
13
,
R519
R521
.
51.
Sun
,
Y.
,
Shinn-Cunningham
,
B.
,
Hickey
,
T. J.
, and
Sekuler
,
R.
(
2016
). “
Catching audiovisual interactions with a first-person fisherman video game
,”
Perception.
in press.
52.
Talsma
,
D.
,
Senkowski
,
D.
,
Soto-Faraco
,
S.
, and
Woldorff
,
M. G.
(
2010
). “
The multifaceted interplay between attention and multisensory integration
,”
Trends Cogn. Sci.
14
,
400
410
.
53.
Treisman
,
A. M.
, and
Gelade
,
G.
(
1980
). “
A feature-integration theory of attention
,”
Cognit. Psychol.
12
,
97
136
.
53.
Ulrich
,
R.
,
Schröter
,
H.
,
Leuthold
,
H.
, and
Birngruber
,
T.
(
2015
). “
Automatic and controlled stimulus processing in conflict tasks: Superimposed diffusion processes and delta functions
,”
Cogn. Psychol.
78
,
148
174
.
54.
van Veen
,
V.
, and
Carter
,
C. S.
(
2002
). “
The anterior cingulate as a conflict monitor: fMRI and ERP studies
,”
Physiol. Behav.
77
,
477
482
.
55.
Vendrell
,
P.
,
Junqué
,
C.
,
Pujol
,
J.
,
Jurado
,
M. A.
,
Molet
,
J.
, and
Grafman
,
J.
(
1995
). “
The role of prefrontal regions in the Stroop task
,”
Neuropsychologia
33
,
341
352
.
56.
Voss
,
A.
,
Nagler
,
M.
, and
Lerche
,
V.
(
2013
). “
Diffusion models in experimental psychology: A practical introduction
,”
Exp. Psychol.
60
,
385
402
.
57.
Wagenmakers
,
E.-J.
(
2009
). “
Methodological and empirical developments for the Ratcliff diffusion model of response times and accuracy
,”
Eur. J. Cogn. Psychol.
21
,
641
671
.
57.
Washburn
,
D. A.
(
2003
). “
The games psychologists play (and the data they provide)
,”
Behav. Res. Methods, Instrum., Comput.
35
(2),
185
193
.
58.
Welch
,
R. B.
, and
Warren
,
D. H.
(
1980
). “
Immediate perceptual response to intersensory discrepancy
,”
Psychol. Bull.
88
,
638
667
.
59.
White
,
C. N.
,
Ratcliff
,
R.
, and
Starns
,
J. J.
(
2011
). “
Diffusion models of the flanker task: Discrete versus gradual attentional selection
,”
Cognit. Psychol.
63
,
210
238
.
60.
Wickelgren
,
W. A.
(
1977
). “
Speed-accuracy tradeoff and information processing dynamics
,”
Acta Psychol. (Amst.)
41
,
67
85
.
61.
Wiecki
,
T. V.
,
Sofer
,
I.
, and
Frank
,
M. J.
(
2016
). “
Stimulus coding with HDDMRegression — HDDM 0.6.0 documentation
,” http://ski.clps.brown.edu/hddm_docs/tutorial_regression_stimcoding.html (Last viewed November 8, 2016).
62.
Wiecki
,
T. V.
,
Sofer
,
I.
, and
Frank
,
M. J.
(
2013
). “
HDDM: Hierarchical Bayesian estimation of the Drift-Diffusion Model in Python
,”
Front. Neuroinformatics
7
,
14
.

Supplementary Material

You do not currently have access to this content.