The precision of temporal judgement: milliseconds, many minutes, and beyond
The principle that the standard deviation of estimates scales with the mean estimate, commonly known as the scalar property, is one of the most broadly accepted fundamentals of interval timing. This property is measured using the coefficient of variation (CV) calculated as the ratio between the stan...
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Veröffentlicht in: | Philosophical transactions of the Royal Society of London. Series B. Biological sciences 2009-07, Vol.364 (1525), p.1897-1905 |
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container_title | Philosophical transactions of the Royal Society of London. Series B. Biological sciences |
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creator | Lewis, P.A. Miall, R.C. |
description | The principle that the standard deviation of estimates scales with the mean estimate, commonly known as the scalar property, is one of the most broadly accepted fundamentals of interval timing. This property is measured using the coefficient of variation (CV) calculated as the ratio between the standard deviation and the mean. In 1997, John Gibbon suggested that different time measurement mechanisms may have different levels of absolute precision, and would therefore be associated with different CVs. Here, we test this proposal by examining the CVs produced by human subjects timing a broad range of intervals (68 ms to 16.7 min). Our data reveal no evidence for multiple mechanisms, but instead show a continuous logarithmic decrease in CV as timed intervals increase. This finding joins other recent reports in demonstrating a systematic violation of the scalar property in timing data. Interestingly, the estimated CV of circadian judgements fits onto the regression of decreasing CV, suggesting a link between short interval and circadian timing mechanisms. |
doi_str_mv | 10.1098/rstb.2009.0020 |
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Series B. Biological sciences</title><addtitle>Philos Trans R Soc Lond B Biol Sci</addtitle><description>The principle that the standard deviation of estimates scales with the mean estimate, commonly known as the scalar property, is one of the most broadly accepted fundamentals of interval timing. This property is measured using the coefficient of variation (CV) calculated as the ratio between the standard deviation and the mean. In 1997, John Gibbon suggested that different time measurement mechanisms may have different levels of absolute precision, and would therefore be associated with different CVs. Here, we test this proposal by examining the CVs produced by human subjects timing a broad range of intervals (68 ms to 16.7 min). Our data reveal no evidence for multiple mechanisms, but instead show a continuous logarithmic decrease in CV as timed intervals increase. This finding joins other recent reports in demonstrating a systematic violation of the scalar property in timing data. Interestingly, the estimated CV of circadian judgements fits onto the regression of decreasing CV, suggesting a link between short interval and circadian timing mechanisms.</description><subject>Adolescent</subject><subject>Adult</subject><subject>Art songs</subject><subject>Attention - physiology</subject><subject>Brain - physiology</subject><subject>Circadian Rhythm - physiology</subject><subject>Clocks</subject><subject>Consistency</subject><subject>Data lines</subject><subject>Female</subject><subject>Hemic system</subject><subject>Humans</subject><subject>Interval estimators</subject><subject>Linear regression</subject><subject>Male</subject><subject>Musical intervals</subject><subject>Precision</subject><subject>Psychophysics - methods</subject><subject>Psychophysics - standards</subject><subject>Regression Analysis</subject><subject>Reproducibility of Results</subject><subject>Scalar Timing</subject><subject>Scalars</subject><subject>Statistical variance</subject><subject>Time Perception</subject><subject>Time Perception - physiology</subject><subject>Young Adult</subject><issn>0962-8436</issn><issn>1471-2970</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNp9UsuO1DAQjBCInV24cgPlxIkMdhK_OCDQLu-R4LA8bpbj2DMekjjYCZC_p0NGA3OAk9XdVdXlspPkHkZrjAR_HOJQrXOExBqhHN1IVrhkOMsFQzeTFRI0z3hZ0LPkPMY9Ahhh5e3kDIuSMyzyVfLuemfSPhjtovNd6m06mLb3QTXpfqy3pjXd8CRtXdO4aLTv6vgobVU3QasbBwOV6uq0MhOM7iS3rGqiuXs4L5KPL19cX77ONu9fvbl8vsk0EXjIhNAK1aRmhdKWMUIrBl4sNAtDqLFaa0pYxRAj3JZCMG5zjhVlwEACV8VF8nTR7ceqNbUGi-BX9sG1KkzSKydPJ53bya3_LnPKCc8RCDw8CAT_bTRxkK2L2jSN6owfo6SwiGNKAbhegDr4GIOxxyUYyTl_Oecv5_zlnD8QHvxt7Q_8EDgAigUQ_AQZee3MMMm9H0MH5b9l7y-sfRx8OKqWqORE_PaZLXMXB_PzOFfh63wXRuQnXsry89WGvv3wRRLA4wW_c9vdDxeMPLEDRQ_7C1pKTHIiMRcMOM_-y5kdwwcZIPNTprRjA69T2-IXjf7VvQ</recordid><startdate>20090712</startdate><enddate>20090712</enddate><creator>Lewis, P.A.</creator><creator>Miall, R.C.</creator><general>The Royal Society</general><scope>BSCLL</scope><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>5PM</scope></search><sort><creationdate>20090712</creationdate><title>The precision of temporal judgement: milliseconds, many minutes, and beyond</title><author>Lewis, P.A. ; Miall, R.C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c591t-99ca0d5d73acf7756b7719fca03e56efccc657b70758f49978f281a67d73091b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Adolescent</topic><topic>Adult</topic><topic>Art songs</topic><topic>Attention - physiology</topic><topic>Brain - physiology</topic><topic>Circadian Rhythm - physiology</topic><topic>Clocks</topic><topic>Consistency</topic><topic>Data lines</topic><topic>Female</topic><topic>Hemic system</topic><topic>Humans</topic><topic>Interval estimators</topic><topic>Linear regression</topic><topic>Male</topic><topic>Musical intervals</topic><topic>Precision</topic><topic>Psychophysics - methods</topic><topic>Psychophysics - standards</topic><topic>Regression Analysis</topic><topic>Reproducibility of Results</topic><topic>Scalar Timing</topic><topic>Scalars</topic><topic>Statistical variance</topic><topic>Time Perception</topic><topic>Time Perception - physiology</topic><topic>Young Adult</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lewis, P.A.</creatorcontrib><creatorcontrib>Miall, R.C.</creatorcontrib><collection>Istex</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>Philosophical transactions of the Royal Society of London. 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This property is measured using the coefficient of variation (CV) calculated as the ratio between the standard deviation and the mean. In 1997, John Gibbon suggested that different time measurement mechanisms may have different levels of absolute precision, and would therefore be associated with different CVs. Here, we test this proposal by examining the CVs produced by human subjects timing a broad range of intervals (68 ms to 16.7 min). Our data reveal no evidence for multiple mechanisms, but instead show a continuous logarithmic decrease in CV as timed intervals increase. This finding joins other recent reports in demonstrating a systematic violation of the scalar property in timing data. Interestingly, the estimated CV of circadian judgements fits onto the regression of decreasing CV, suggesting a link between short interval and circadian timing mechanisms.</abstract><cop>London</cop><pub>The Royal Society</pub><pmid>19487192</pmid><doi>10.1098/rstb.2009.0020</doi><tpages>9</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Adolescent Adult Art songs Attention - physiology Brain - physiology Circadian Rhythm - physiology Clocks Consistency Data lines Female Hemic system Humans Interval estimators Linear regression Male Musical intervals Precision Psychophysics - methods Psychophysics - standards Regression Analysis Reproducibility of Results Scalar Timing Scalars Statistical variance Time Perception Time Perception - physiology Young Adult |
title | The precision of temporal judgement: milliseconds, many minutes, and beyond |
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