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Stimulus information as a determinant of reaction time.
Abstract
In the typical reaction-time experiment, S's reaction time is greater when he has to respond differentially to one of two equally probable stimuli instead of to just one stimulus. In fact, Merkel (2), using one to ten alternatives, has demonstrated that when S has to respond to one stimulus chosen from a number of equally probable alternatives, his reaction time increases with the number of alternatives. The fact that S's response to stimulus A takes more time when A is one of several rather than one of two equally probable alternatives is of intrinsic interest. But it becomes even more significant when looked at from the standpoint of modern communication theory. In communication theory the amount of information which a message conveys is an increasing function of the number of possible messages from which that particular message could have been selected. The S's reaction time seems to behave,
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“The Hick-Hyman law (Hyman, 1953; Welford, 1980) states that t = c+klogb where b is the number of equally likely response alternatives, c and k are constants, and t the average response time.”
From Selection from alphabetic and numeric menu trees using a touch screen: breadth, depth, and width (1985) · cites this paper as Hyman, 1953
In the citing paper
“Thus, both the HickHyman and Fitts' laws must hold, and there must be no substantial contribution from any other processes, e.g. scanning, that is other than a log or constant function of number of alternatives.”
From Selection from alphabetic and numeric menu trees using a touch screen: breadth, depth, and width (1985) · cites this paper as Hyman, 1953
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“According to the Hyman (1953) law, the average reaction time is linearly proportional to the information entropy instead of the number of stimulus alternatives, TSj ¼ aþbCf cj ð11Þ where a and b is empirical constants, Cf cj is the choice complexity.”
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“The RT will be increased due to the increased response selection duration (Hick, 1952; Hyman, 1953; Seibel, 1962, 1963; Schmidt et al., 2018).”
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ResultAbsolute pitch and pupillary response: Effects of timbre and key color
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“Historicallyithasbeenshownthatin typicalreactiontimeexperiments,participants’reactiontimesincreasewhenre-quiredtoresponddifferentiallytooneoftwoequallyprobablestimuliinsteadofjustonestimulus(Hyman,1953).”
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“Therefore, if performance is critical, attention sharing, when possible, should be avoided in sensorimotor activities (Hyman, 1953).”
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ResultInformation Processing in Aviation
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“, stimulus), the motor plan was likely perturbed from the RT task increasing in difficulty as evidenced from slower RT (Hyman 1953; Schmidt et al. 1988; Smith 1968; Woods et al. 2015).”
BackgroundMethodInfluentialVisually guided, aimed movements can be unaffected by stimulus–response uncertainty
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“This relationship is often referred to as the Hick–Hyman law after the authors of two early papers that proposed a logarithmic formulation to quantify the uncertainty effect (Hick 1952; Hyman 1953).”
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ResultPigeon reaction time, Hick’s law, and intelligence
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“The HickeHyman law (HHL, Hick, 1952; Hyman, 1953) is foundational to the information processing approach to cognitive psychology and describes the linear relationship between RT and the log 2 of the number of S-R alternatives, provided they are all equally likely.”
BackgroundActivation of the cognitive control network associated with information uncertainty
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“Based on previous behavioral nd fMRI studies ( Hick, 1952 ; Hyman, 1953 ; Wu et al., 2018 ), it was preicted that an increase in information entropy would be associated with linear increase in both RT and activation in the regions of the CCN. igher order nonlinear relationships were not examined…”
High loads induce differences between actual and imagined movement duration
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“Increases in N are said to increase uncertainty in selecting the correct response location for a given stimulus location (Hick 1952; Hyman 1953).”
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Rapoport, A. (2007) · Systems Research and Behavioral Science · doi:10.1002/bs.3830040404 · Cited by 31
Cognitive Influences on Perceptual Processing.
Miller, J. O. (1979) · Journal of Experimental Psychology Human Perception & Performance · doi:10.1037/h0078135 · Cited by 31
Mouratidis, K., Li, K., & Tang, B. (2021) · ACM SIGMOD International Conference on Management of Data (SIGMOD) · doi:10.1145/3448016.3457299 · Cited by 30
“Regarding the output size, Hick’s law, known since the 50’s, suggests that controlling the number of results presented to the user is essential to the quality of the decision and to the user experience [34, 37].”
BackgroundEvidence for an Activation Locus of the Word-Frequency Effect in Lexical Decision.
Allen, P. A., Smith, A. F., Lien, M.-C., Grabbe, J. W., & Murphy, M. D. (2005) · Journal of Experimental Psychology Human Perception & Performance · doi:10.1037/0096-1523.31.4.713 · Cited by 30
“The Hick–Hyman law suggests that for many tasks there is a linear relationship between response time and log-transformed errors (e.g., Hyman, 1953). Also see Allen, Murphy, Kaufman, Groth, and Begovic (2004) for a more detailed discussion of this issue applied to a lexical decision task.”
BackgroundDeveloping Predictive Equations to Model the Visual Demand of In-Vehicle Touchscreen HMIs
Large, D. R., Burnett, G., Crundall, E., van Loon, E. M., Eren, A. L., & Skrypchuk, L. (2017) · International Journal of Human-Computer Interaction · doi:10.1080/10447318.2017.1306940 · Cited by 30
“The Hick – Hyman Law (Hick, 1952; Hyman, 1953) compliments Fitts ’ Law by modeling the relationship between information load and choice-reaction time, i.e., the time taken to determine which target/item to acquire before moving toward it — interfaces with more options have higher information…”
BackgroundProperties of saccades generated as a choice response
Lee, K., Keller, E. L., & Heinen, S. J. (2004) · Experimental Brain Research · doi:10.1007/s00221-004-2186-5 · Cited by 31
“Hick’s law describes the relationship between response time and the number of alternatives (NA) in making a choice response (Hick 1952; Hyman 1953), and the relationship has attracted much attention from psychologists and theoretical cognitive scientists because the logarithmic relationship of the…”
BackgroundResultInfluentialParallel direction and extent specification of planar reaching arm movements in humans
Favilla, M., & de Cecco, E. (1996) · Neuropsychologia · doi:10.1016/0028-3932(95)00135-2 · Cited by 31
Wobbrock, J. O., & Myers, B. A. (2006) · International ACM SIGACCESS Conference on Computers and Accessibility (ASSETS) · doi:10.1145/1168987.1168990 · Cited by 31
“For a better estimate, we can enrich our model by adding a term for visual search time based on the Hick-Hyman law [12,13].”
MethodDirect visuomotor mapping for fast visually-evoked arm movements
Reynolds, R. F., & Day, B. L. (2012) · Neuropsychologia · doi:10.1016/j.neuropsychologia.2012.10.006 · Cited by 29
Production monitoring system development and modification; pp. 567–580
Snatkin, A., Eiskop, T., Karjust, K., & Majak, J. (2015) · Proceedings of the Estonian Academy of Sciences · doi:10.3176/proc.2015.4s.04 · Cited by 29
“When the operator has to make choices from the data presented (e.g., menus, buttons), the number of choices should be limited to decrease the responding time according to the Hick’s Law [21,22].”
Background
Metadata
- Authors
- Hyman, R.
- Affiliations
- Johns Hopkins University (US)
- Corresponding author
- Hyman, Ray
- Venue
- Journal of Experimental Psychology
- Published
- 1953
- Volume
- 45
- Issue
- 3
- Pages
- 188-196
- ISSN
- 0022-1015 (ISSN-L)
- OpenAlex
- W2014448832
- Cited by
- 1,443
- References
- 2
- Citations by year
- 2026: 17 · 2025: 69 · 2024: 24 · 2023: 39 · 2022: 27 · 2021: 57 · 2020: 39 · 2019: 47 · 2018: 42 · 2017: 46 · 2016: 44 · 2015: 46 · 2014: 28 · 2013: 46 · 2012: 51
- FWCI
- 6.46
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Experimental Psychology (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural and Behavioral Psychology Studies
- Life Sciences › Neuroscience › Cognitive Neuroscience › Visual perception and processing mechanisms
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Cognitive Abilities and Testing
- Keywords
- reaction time, stimulus information, number of alternatives, differential response, information theory, stimulus probability, reaction time (psychology)
- MeSH terms
- Humans, Learning, Reaction Time
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