Mental chronometry

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Mental chronometry is the use of response time in perceptual-motor tasks to infer the content, duration, and temporal sequencing of cognitive operations. Mental chronometry is one of the core paradigms of experimental and cognitive psychology, and has found application in various disciplines including cognitive psychophysiology, cognitive neuroscience, and behavioral neuroscience to elucidate mechanisms underlying cognitive processing.

Mental chronometry is studied using the measurements of reaction time (RT). Reaction time is the elapsed time between the presentation of a sensory stimulus and the subsequent behavioral response. In psychometric psychology it is considered to be an index of speed of processing.[1] That is, it indicates how fast the thinker can execute the mental operations needed by the task at hand. In turn, speed of processing is considered an index of processing efficiency. The behavioral response is typically a button press but can also be an eye movement, a vocal response, or some other observable behavior.


Response time is the sum reaction time plus movement time.

Usually the focus in research is on reaction time. There are four basic means of measuring it:

Simple reaction time is the motion required for an observer to respond to the presence of a stimulus. For example, a subject might be asked to press a button as soon as a light or sound appears. Mean RT for college-age individuals is about 160 milliseconds to detect an auditory stimulus, and approximately 190 milliseconds to detect visual stimulus.[2][3] The mean reaction times for sprinters at the Beijing Olympics were 166 ms for males and 189 ms for females, but in one out of 1,000 starts they can achieve 109 ms and 121 ms, respectively.[4] Interestingly, that study concluded that longer female reaction times are an artifact of the measurement method used; a suitable lowering of the force threshold on the starting blocks for women would eliminate the sex difference.

Recognition or Go/No-Go reaction time tasks require that the subject press a button when one stimulus type appears and withhold a response when another stimulus type appears. For example, the subject may have to press the button when a green light appears and not respond when a blue light appears.

Choice reaction time (CRT) tasks require distinct responses for each possible class of stimulus. For example, the subject might be asked to press one button if a red light appears and a different button if a yellow light appears. The Jensen box is an example of an instrument designed to measure choice reaction time.

Discrimination reaction time involves comparing pairs of simultaneously presented visual displays and then pressing one of two buttons according to which display appears brighter, longer, heavier, or greater in magnitude on some dimension of interest.

Due to momentary attentional lapses, there is a considerable amount of variability in an individual's response time, which does not tend to follow a normal (Gaussian) distribution. To control for this, researchers typically require a subject to perform multiple trials, from which a measure of the 'typical' response time can be calculated. Taking the mean of the raw response time is rarely an effective method of characterizing the typical response time, and alternative approaches (such as modeling the entire response time distribution) are often more appropriate.[5]

The evolution of mental chronometry methodology[edit]

Abū Rayhān al-Bīrūnī[edit]

Psychologists have developed and refined mental chronometry for over the past 100 years. According to Muhammad Iqbal, the Persian scientist Abū Rayhān al-Bīrūnī (973-1048) was the first person to describe the concept of reaction time:

"Not only is every sensation attended this by a corresponding change localized in the sense-organ, which demands a certain time, but also, between the stimulation of the organ and consciousness of the perception an interval of time must elapse, corresponding to the transmission of stimulus for some distance along the nerves."[6]

Galton and differential psychology[edit]

Sir Francis Galton is typically credited as the founder of differential psychology, which seeks to determine and explain the mental differences between individuals. He was the first to use rigorous reaction time tests with the express intention of determining averages and ranges of individual differences in mental and behavioral traits in humans. Galton hypothesized that differences in intelligence would be reflected in variation of sensory discrimination and speed of response to stimuli, and he built various machines to test different measures of this, including reaction time to visual and auditory stimuli. His tests involved a selection of over 10,000 men, women and children from the London public.[1]

Donders' experiment[edit]

The first scientist to measure reaction time in the laboratory was Franciscus Donders (1869). Donders found that simple reaction time is shorter than recognition reaction time, and that choice reaction time is longer than both.[2]

Donders also devised a subtraction method to analyze the time it took for mental operations to take place.[7] By subtracting simple reaction time from choice reaction time, for example, it is possible to calculate how much time is needed to make the connection.

This method provides a way to investigate the cognitive processes underlying simple perceptual-motor tasks, and formed the basis of subsequent developments.[7]

Although Donders' work paved the way for future research in mental chronometry tests, it was not without its drawbacks. His insertion method was based on the assumption that inserting a particular complicating requirement into an RT paradigm would not affect the other components of the test. This assumption - that the incremental effect on RT was strictly additive - was not able to hold up to later experimental tests, which showed that the insertions were able to interact with other portions of the RT paradigm. Despite this, Donders' theories are still of interest and his ideas are still used in certain areas of psychology, which now have the statistical tools to use them more accurately.[1]

Hick's Law[edit]

W. E. Hick (1952) devised a CRT experiment which presented a series of nine tests in which there are n equally possible choices. The experiment measured the subject's reaction time based on number of possible choices during any given trial. Hick showed that the individual's reaction time increased by a constant amount as a function of available choices, or the "uncertainty" involved in which reaction stimulus would appear next. Uncertainty is measured in "bits", which are defined as the quantity of information that reduces uncertainty by half in information theory. In Hick's experiment, the reaction time is found to be a function of the binary logarithm of the number of available choices (n). This phenomenon is called "Hick's Law" and is said to be a measure of the "rate of gain of information." The law is usually expressed by the formula RT = a + b\log_2(n + 1), where a and b are constants representing the intercept and slope of the function, and n is the number of alternatives.[8] The Jensen Box is a more recent application of Hick's Law.[1] Hick's Law has interesting modern applications in marketing, where restaurant menus and web interfaces (among other things) take advantage of its principles in striving to achieve speed and ease of use for the consumer.[9]

Sternberg’s memory-scanning task[edit]

Sternberg (1966) devised an experiment wherein subjects were told to remember a set of unique digits in short-term memory. Subjects were then given a probe stimulus in the form of a digit from 0-9. The subject then answered as quickly as possible whether the probe was in the previous set of digits or not. The size of the initial set of digits determined the reaction time of the subject. The idea is that as the size of the set of digits increases the number of processes that need to be completed before a decision can be made increases as well. So if the subject has 4 items in short-term memory (STM), then after encoding the information from the probe stimulus the subject needs to compare the probe to each of the 4 items in memory and then make a decision. If there were only 2 items in the initial set of digits, then only 2 processes would be needed. The data from this study found that for each additional item added to the set of digits, about 38 milliseconds were added to the response time of the subject. This supported the idea that a subject did a serial exhaustive search through memory rather than a serial self-terminating search.[10] Sternberg (1969) developed a much-improved method for dividing reaction time into successive or serial stages, called the additive factor method.[11]

Shepard and Metzler’s mental rotation task[edit]

Shepard and Metzler (1971) presented a pair of three-dimensional shapes that were identical or mirror-image versions of one another. Reaction time to determine whether they were identical or not was a linear function of the angular difference between their orientation, whether in the picture plane or in depth. They concluded that the observers performed a constant-rate mental rotation to align the two objects so they could be compared.[12] Cooper and Shepard (1973) presented a letter or digit that was either normal or mirror-reversed, and presented either upright or at angles of rotation in units of 60 degrees. The subject had to identify whether the stimulus was normal or mirror-reversed. Response time increased roughly linearly as the orientation of the letter deviated from upright (0 degrees) to inverted (180 degrees), and then decreases again until it reaches 360 degrees. The authors concluded that the subjects mentally rotate the image the shortest distance to upright, and then judge whether it is normal or mirror-reversed.[13]

Sentence-picture verification[edit]

Mental chronometry has been used in identifying some of the processes associated with understanding a sentence. This type of research typically revolves around the differences in processing 4 types of sentences: true affirmative (TA), false affirmative (FA), false negative (FN), and true negative (TN). A picture can be presented with an associated sentence that falls into one of these 4 categories. The subject then decides if the sentence matches the picture or does not. The type of sentence determines how many processes need to be performed before a decision can be made. According to the data from Clark and Chase (1972) and Just and Carpenter (1971), the TA sentences are the simplest and take the least time, than FA, FN, and TN sentences.[14][15]

Mental chronometry and models of memory[edit]

Hierarchical network models of memory were largely discarded due to some findings related to mental chronometry. The TLC model proposed by Collins and Quillian (1969) had a hierarchical structure indicating that recall speed in memory should be based on the number of levels in memory traversed in order to find the necessary information. But the experimental results did not agree. For example, a subject will reliably answer that a robin is a bird more quickly than he will answer that an ostrich is a bird despite these questions accessing the same two levels in memory. This led to the development of spreading activation models of memory (e.g., Collins & Loftus, 1975), wherein links in memory are not organized hierarchically but by importance instead.[16][17]

Posner’s letter matching studies[edit]

Posner (1978) used a series of letter-matching studies to measure the mental processing time of several tasks associated with recognition of a pair of letters. The simplest task was the physical match task, in which subjects were shown a pair of letters and had to identify whether the two letters were physically identical or not. The next task was the name match task where subjects had to identify whether two letters had the same name. The task involving the most cognitive processes was the rule match task in which subjects had to determine whether the two letters presented both were vowels or not vowels.

The physical match task was the most simple; subjects had to encode the letters, compare them to each other, and make a decision. When doing the name match task subjects were forced to add a cognitive step before making a decision: they had to search memory for the names of the letters, and then compare those before deciding. In the rule based task they had to also categorize the letters as either vowels or consonants before making their choice. The time taken to perform the rule match task was longer than the name match task which was longer than the physical match task. Using the subtraction method experimenters were able to determine the approximate amount of time that it took for subjects to perform each of the cognitive processes associated with each of these tasks.[18]

Mental chronometry and cognitive development[edit]

There is extensive recent research using mental chronometry for the study of cognitive development. Specifically, various measures of speed of processing were used to examine changes in the speed of information processing as a function of age. Kail (1991) showed that speed of processing increases exponentially from early childhood to early adulthood.[19] Studies of reaction times in young children of various ages are consistent with common observations of children engaged in activities not typically associated with chronometry.[1] This includes speed of counting, reaching for things, repeating words, and other developing vocal and motor skills that develop quickly in growing children.[20] Once reaching early maturity, there is then a long period of stability until speed of processing begins declining from middle age to senility (Salthouse, 2000).[21] In fact, cognitive slowing is considered a good index of broader changes in the functioning of the brain and intelligence. Demetriou and colleagues, using various methods of measuring speed of processing, showed that it is closely associated with changes in working memory and thought (Demetriou, Mouyi, & Spanoudis, 2009). These relations are extensively discussed in the neo-Piagetian theories of cognitive development.[22]

During senescence, RT deteriorates (as does fluid intelligence), and this deterioration is systematically associated with changes in many other cognitive processes, such as executive functions, working memory, and inferential processes.[22] In the theory of Andreas Demetriou,[23] one of the neo-Piagetian theories of cognitive development, change in speed of processing with age, as indicated by decreasing reaction time, is one of the pivotal factors of cognitive development.

Mental chronometry and cognitive ability[edit]

Researchers have reported medium-sized correlations between reaction time and measures of intelligence: There is thus a tendency for individuals with higher IQ to be faster on reaction time tests.

Research into this link between mental speed and general intelligence (perhaps first proposed by Charles Spearman) was re-popularised by Arthur Jensen, and the "Choice reaction Apparatus" associated with his name became a common standard tool in reaction time-IQ research.

The strength of the RT-IQ association is a subject of research. Several studies have reported association between simple reaction time and intelligence of around (r=−.31), with a tendency for larger associations between choice reaction time and intelligence (r=−.49).[24] Much of the theoretical interest in reaction time was driven by Hick's Law, relating the slope of reaction time increases to the complexity of decision required (measured in units of uncertainty popularised by Claude Shannon as the basis of information theory). This promised to link intelligence directly to the resolution of information even in very basic information tasks. There is some support for a link between the slope of the reaction time curve and intelligence, as long as reaction time is tightly controlled.[25]

Standard deviations of reaction times have been found to be more strongly correlated with measures of general intelligence (g) than mean reaction times. The reaction times of low-g individuals are more spread-out than those of high-g individuals.[26]

The cause of the relationship is unclear. It may reflect more efficient information processing, better attentional control, or the integrity of neuronal processes.

Other factors[edit]

Research has shown that reaction times may be improved by chewing gum: "The results showed that chewing gum was associated with greater alertness and a more positive mood. Reaction times were quicker in the gum condition, and this effect became bigger as the task became more difficult." [27]

Application of mental chronometry in biological psychology/cognitive neuroscience[edit]

Regions of the Brain Involved in a Number Comparison Task Derived from EEG and fMRI Studies. The regions represented correspond to those showing effects of notation used for the numbers (pink and hatched), distance from the test number (orange), choice of hand (red), and errors (purple). Picture from the article: ‘Timing the Brain: Mental Chronometry as a Tool in Neuroscience’.

With the advent of the functional neuroimaging techniques of PET and fMRI, psychologists started to modify their mental chronometry paradigms for functional imaging (Posner, 2005). Although psycho(physio)logists have been using electroencephalographic measurements for decades, the images obtained with PET have attracted great interest from other branches of neuroscience, popularizing mental chronometry among a wider range of scientists in recent years. The way that mental chronometry is utilized is by performing tasks based on reaction time which measures through neuroimaging the parts of the brain which are involved in the cognitive processes.[28]

In the 1950s, the use of a micro electrode recording of single neurons in anaesthetized monkeys allowed research to look at physiological process in the brain and supported this idea that people encode information serially.

In the 1960s, these methods were used extensively in humans: researchers recorded the electrical potentials in human brain using scalp electrodes while a reaction tasks was being conducted using digital computers. What they found was that there was a connection between the observed electrical potentials with motor and sensory stages for information processing. For example, researchers found in the recorded scalp potentials that the frontal cortex was being activated in association with motor activity. These finding can be connected to Donders’ idea of the subtractive method of the sensory and motor stages involved in reaction tasks.

In the 1970s and early 1980s, development of signal processing tool for EEG translated into a revival of research using this technique to assess the timing and the speed of mental processes. For example, high-profile research showed how reaction time on a given trial correlated with the latency (delay between stimulus and response) of the P300 wave[29] or how the timecourse of the EEG reflected the sequence of cognitive processes involved in perceptual processing.[30]

With the invention of functional magnetic resonance imaging (fMRI), techniques were used to measure activity through electrical event-related potentials in a study when subjects were asked to identify if a digit that was presented was above or below five. According to Sternberg’s additive theory, each of the stages involved in performing this task includes: encoding, comparing against the stored representation for five, selecting a response, and then checking for error in the response.[31] The fMRI image presents the specific locations where these stages are occurring in the brain while performing this simple mental chronometry task.

In the 1980s, neuroimaging experiments allowed researchers to detect the activity in localized brain areas by injecting radionuclides and using positron emission tomography (PET) to detect them. Also, fMRI was used which have detected the precise brain areas that are active during mental chronometry tasks. Many studies have shown that there is a small number of brain areas which are widely spread out which are involved in performing these cognitive tasks.

See also[edit]


  1. ^ a b c d e Jensen, A. R. (2006). Clocking the mind: Mental chronometry and individual differences. Amsterdam: Elsevier. (ISBN 978-0-08-044939-5)
  2. ^ a b Kosinski, R. J. (2008). A literature review on reaction time, Clemson University.
  3. ^ Taoka, George T. (March 1989). "Brake Reaction Times of Unalerted Drivers". ITE Journal 59 (3): 19–21. 
  4. ^ Lipps, D.B.; Galecki, A.T.; Ashton-Miller, J.A. "On the Implications of a Sex Difference in the Reaction Times of Sprinters at the Beijing Olympics". PLoS ONE 6 (10): e26141. Bibcode:2011PLoSO...626141L. doi:10.1371/journal.pone.0026141. 
  5. ^ [1] Whelan, R. (2008). Effective analysis of reaction time data. The Psychological Record, 58, 475-482.
  6. ^ Iqbal, Muhammad. "The Spirit of Muslim Culture". The Reconstruction of Religious Thought in Islam. ISBN 81-7151-081-7. Retrieved 2008-01-25 
  7. ^ a b Donders, F.C. (1869). On the speed of mental processes. In W. G. Koster (Ed.), Attention and Performance II. Acta Psychologica, 30, 412-431. (Original work published in 1868.)
  8. ^ Hick's Law at Originally from Colman, A. (2001). A Dictionary of Psychology. Retrieved February 28, 2009.
  9. ^ W. Lidwell, K. Holden and J. Butler: Universal. Principles of Design. Rockport, Gloucester, MA, 2003.
  10. ^ Sternberg, S. (1966). "High speed scanning in human memory". Science 153 (3736): 652–654. Bibcode:1966Sci...153..652S. doi:10.1126/science.153.3736.652. PMID 5939936. 
  11. ^ Sternberg, S. (1969). "The discovery of processing stages: Extensions of Donders' method". Acta Psychologica 30: 276–315. doi:10.1016/0001-6918(69)90055-9. 
  12. ^ Shepard, R.N.; Metzler, J. (1971). "Mental rotation of three-dimensional objects". Science 171 (3972): 701–703. Bibcode:1971Sci...171..701S. doi:10.1126/science.171.3972.701. PMID 5540314. 
  13. ^ Cooper, L. A., & Shepard, R. N. (1973). Chronometric studies of the rotation of mental images. New York: Academic Press.
  14. ^ Clark, H. H.; Chase, W. G. (1972). "On the process of comparing sentences against pictures". Cognitive Psychology 3 (3): 472–517. doi:10.1016/0010-0285(72)90019-9. 
  15. ^ Just, M. A.; Carpenter, P. A. (1971). "Comprehension of negation with quantification". Journal of Verbal Learning and Verbal Behavior 10 (3): 244–253. doi:10.1016/S0022-5371(71)80051-8. 
  16. ^ Collins, A. M.; Loftus, E. F. (1975). "A spreading activation theory of semantic processing". Psychological Review 82 (6): 407–428. doi:10.1037/0033-295X.82.6.407. 
  17. ^ Collins, A. M.; Quillian, M. R. (1969). "Retrieval time from semantic memory". Journal of Verbal Learning and Verbal Behavior 8 (2): 240–247. doi:10.1016/S0022-5371(69)80069-1. 
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  20. ^ Case, Robbie (1985). Intellectual development: birth to adulthood. Boston: Academic Press. ISBN 0-12-162880-9. 
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  22. ^ a b Demetriou, A.; Mouyi, A.; Spanoudis, G. (2008). "Modeling the structure and development of g". Intelligence 5 (5): 437–454. doi:10.1016/j.intell.2007.10.002. 
  24. ^ Deary, I. J.; Der, G.; Ford, G. (2001). "Reaction times and intelligence differences: A population-based cohort study". Intelligence 29 (5): 389–399. doi:10.1016/S0160-2896(01)00062-9. 
  25. ^ Bates, T. C.; Stough, C. (1998). "Improved Reaction Time Method, Information Processing Speed, and Intelligence". Intelligence 26 (1): 53–62. doi:10.1016/S0160-2896(99)80052-X. 
  26. ^ van Ravenzwaaij, Don; Brown, Scott; Wagenmakers, Eric-Jan (2011). "An integrated perspective on the relation between response speed and intelligence". Cognition 119 (3): 381–93. doi:10.1016/j.cognition.2011.02.002. PMID 21420077. 
  27. ^ Smith, A. (2009). Effects of chewing gum on mood, learning, memory and performance of an intelligence test. Nutritional Neuroscience, 12(2), 81
  28. ^ Posner, Michael I. (2005). "Timing the Brain: Mental Chronometry as a Tool in Neuroscience". PLoS Biology 3 (2): e51. doi:10.1371/journal.pbio.0030051. PMC 548951. PMID 15719059. 
  29. ^ Kutas, M; McCarthy, G; Donchin, E (1977). "Augmenting mental chronometry: the P300 as a measure of stimulus evaluation time". Science 197 (4305): 792–795. Bibcode:1977Sci...197..792K. doi:10.1126/science.887923. PMID 887923. 
  30. ^ Renault, B; Ragot, R; Lesevre, N; Remond, A. (1982). "Onset and offset of brain events as indices of mental chronometry". Science 215 (4538): 1413–1415. Bibcode:1982Sci...215.1413R. doi:10.1126/science.7063853. PMID 7063853. 
  31. ^ Sternberg, S. (1975). "Memory scanning: New findings and current controversies". Quarterly Journal of Experimental Psychology 27: 1–32. doi:10.1080/14640747508400459. 

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