Abstract
Detection theory has been applied to the measurement of vestibular thresholds and vestibular sensory integration. Yet, a formal detection theory analysis of vestibular responses has not been published. Such a de novo analysis seems warranted because the vestibular system has characteristics that differ from other sensory systems, which impacts the application of detection theory. For example, the physical stimuli evoking vestibular responses are typically bidirectional (e.g., leftward/rightward); this bidirectional nature of vestibular responses leads to another characteristic—what is sometimes called vestibular bias—that must also be considered, since it can impact threshold measurements, including thresholds found using staircase procedures. This paper develops a basic model of vestibular noise and then analyzes this model for four standard paradigms—one-interval recognition, one-interval detection, two-interval detection, and two-interval recognition. While any of these paradigms might be justified for a specific application, it is concluded that one-interval recognition paradigms have advantages over other paradigms for many vestibular applications. One-interval recognition is favored over one-interval detection because it lends itself to a fixed detection boundary, is more efficient, and is less impacted by device vibration. One-interval recognition is generally favored over two-interval recognition because it assesses vestibular bias and can require substantially less time than two-interval tasks.
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References
Barnett-Cowan M, Harris LR (2009) Perceived timing of vestibular stimulation relative to touch, light and sound. Exp Brain Res 198:221–231
Benson AJ, Spencer MB, Stott JR (1986) Thresholds for the detection of the direction of whole-body, linear movement in the horizontal plane. Aviat Space Environ Med 57:1088–1096
Benson A, Hutt E, Brown S (1989) Thresholds for the perception of whole body angular movement about a vertical axis. Aviat Space Environ Med 60:205–213
Blackwell HR (1952) Studies of psychophysical methods for measuring visual thresholds. J Opt Soc Am 42:606–616
Brown RG, Hwang P (1992) Introduction to random signals and applied Kalman filtering. Wiley, New York
Carpenter-Smith TR, Futamura RG, Parker DE (1995) Inertial acceleration as a measure of linear vection: an alternative to magnitude estimation. Percept Psychophys 57:35–42
Clark B, Stewart JD (1968) Comparison of three methods to determine thresholds for perception of angular acceleration. Am J Psychol 81:207–216
De Vrijer M, Medendorp WP, Van Gisbergen JA (2008) Shared computational mechanism for tilt compensation accounts for biased verticality percepts in motion and pattern vision. J Neurophysiol 99:915–930
Doty RL (1969) Effect of duration of stimulus presentation on the angular acceleration threshold. J Exp Psychol 80:317–321
Gelb A (1974) Applied optimal estimation. MIT Press, Cambridge
Grabherr L, Nicoucar K, Mast FW, Merfeld DM (2008) Vestibular thresholds for yaw rotation about an earth-vertical axis as a function of frequency. Exp Brain Res 186:677–681
Green D, Swets J (1966) Signal detection theory and psychophysics. Wiley, New York
Gu Y, DeAngelis GC, Angelaki DE (2007) A functional link between area MSTd and heading perception based on vestibular signals. Nat Neurosci 10:1038–1047
Guedry F (1974) Psychophysics of vestibular sensation. In: Kornhuber HH (ed) Handbook of sensory physiology, vol VI. Springer-Verlag, New York, pp 1–154
Hildebrand FB (1976) Advanced calculus for applications. Prentice-Hall, Inc., Englewood Cliffs
Jakel F, Wichmann FA (2006) Spatial four-alternative forced-choice method is the preferred psychophysical method for naive observers. J Vis 6:1307–1322
Jones FN (1974) History of psychophysics and judgment. In: Carterette EC, Friedman MP (eds) Handbook of perception: vol. 2. Psychophysicla judgment and measurement. Academic Press, New York, pp 1–22
Kay SM (1993) Fundamentals of statistical signal processing: estimation theory. Prentice Hall PTR, Upper Saddle River
Kay SM (1998) Fundamentals of statistical signal processing: detection theory. Prentice Hall PTR, Upper Saddle River
Larsen RJ, Marx ML (1986) An introduction to mathematical statistics and its applications. Prentice-Hall, Englewood Cliffs
Leek MR (2001) Adaptive procedures in psychophysical research. Percept Psychophys 63:1279–1292
Macmillan NA, Creelman CD (2005) Detection theory: a user’s guide. Lawrence Erlbaum Associates, Mahwah
MacNeilage PR, Banks MS, DeAngelis GC, Angelaki DE (2010) Vestibular heading discrimination and sensitivity to linear acceleration in head and world coordinates. J Neurosci 30:9084–9094
Mah RW, Young LR, Steele CR, Schubert ED (1989) Threshold perception of whole-body motion to linear sinusoidal stimulation. In: AlAA flight simulation technologies conference and exhibit, vol AIAA-89-3273, Boston, MA
Mallery RM, Olomu OU, Uchanski RM, Militchin VA, Hullar TE (2010) Human discrimination of rotational velocities. Exp Brain Res 204:11–20
Ormsby C (1974) Model of human dynamic orientation. In: Aeronautics and Astronautics, vol Ph.D. MIT, Cambridge
Pentland A (1980) Maximum likelihood estimation: the best PEST. Percept Psychophys 28:377–379
Sadeghi SG, Chacron MJ, Taylor MC, Cullen KE (2007) Neural variability, detection thresholds, and information transmission in the vestibular system. J Neurosci 27:771–781
Seidman SH (2008) Translational motion perception and vestiboocular responses in the absence of non-inertial cues. Exp Brain Res 184:13–29
Treutwein B (1995) Adaptive psychophysical procedures. Vis Res 35:2503–2522
Watson AB, Pelli DG (1983) QUEST: a Bayesian adaptive psychometric method. Percept Psychophys 33:113–120
Wichmann FA, Hill NJ (2001a) The psychometric function: I. Fitting, sampling, and goodness of fit. Percept Psychophys 63:1293–1313
Wichmann FA, Hill NJ (2001b) The psychometric function: II. Bootstrap-based confidence intervals and sampling. Percept Psychophys 63:1314–1329
Wickelgren WA (1968) Unidimensional strength theory and component analysis of noise in absolute and comparative judgments. J Math Psychol 5:102–122
Wikipedia (2010a) Central limit theorem. http://www.en.wikipedia.org/wiki/Central_limit_theorem
Wikipedia (2010b) Error function. http://www.en.wikipedia.org/wiki/Error_function
Zupan LH, Merfeld DM (2008) Interaural self-motion linear velocity thresholds are shifted by roll vection. Exp Brain Res 191:505–511
Acknowledgments
Funding for this experiment was provided in part by the NIH (NIDCD R01 04158). We would also like to thank Margaret Lankow for administrative assistance, Csilla Haburcakova and Saori Fukuda for help with the graphics, and Shomesh Chaudhuri, Michael Barnett-Cowan, Luzia Grabherr, Tim Hullar, Faisal Karmali, Koeun Lim, Fred Mast, Chuck Oman, and Florian Soyka, who provided comments on preliminary drafts. Thanks also to Jay Goldberg, who has inspired the use of such theoretical analyses in the vestibular sciences alongside thorough experimental evaluations of such analyses.
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An erratum to this article can be found at http://dx.doi.org/10.1007/s00221-012-3024-9.
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Merfeld, D.M. Signal detection theory and vestibular thresholds: I. Basic theory and practical considerations. Exp Brain Res 210, 389–405 (2011). https://doi.org/10.1007/s00221-011-2557-7
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DOI: https://doi.org/10.1007/s00221-011-2557-7