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href="/wiki/Numeracy" title="Numeracy">numeracy</a> bias</b> is a form of <a href="/wiki/Cognitive_bias" title="Cognitive bias">cognitive bias</a><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> in which an evaluator of information commits a logical <a href="/wiki/Fallacy" title="Fallacy">fallacy</a> as the result of confusing <a href="/wiki/Accuracy_and_precision" title="Accuracy and precision">accuracy and precision</a>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> More particularly, in assessing the merits of an argument, a measurement, or a report, an observer or assessor falls prey to precision bias when they believe that greater precision implies greater accuracy (i.e., that simply because a statement is precise, it is also true); the observer or assessor are said to provide <a href="/wiki/False_precision" title="False precision">false precision</a>.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p><p>The <a href="/wiki/Clustering_illusion" title="Clustering illusion">clustering illusion</a><sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> and the <a href="/wiki/Texas_sharpshooter_fallacy" title="Texas sharpshooter fallacy">Texas sharpshooter fallacy</a><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> may both be treated as relatives of precision bias. In these related fallacies, precision is mistakenly considered evidence of causation, when in fact the clustered information may actually be the result of <a href="/wiki/Randomness" title="Randomness">randomness</a>. </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Precision_bias&action=edit&section=1" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Accuracy_and_precision" title="Accuracy and precision">Accuracy and precision</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Precision_bias&action=edit&section=2" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text">Proceedings of the 33rd Annual Meeting of the Cognitive Science Society (CogSci 2011), held in Boston, USA 20-32 July 2011 / L. Carlson, C. Hoelscher and T. Shipley (eds.): pp.1521-1526</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://manoa.hawaii.edu/exploringourfluidearth/physical/world-ocean/map-distortion/practices-science-precision-vs-accuracy#:~:text=Accuracy%20refers%20to%20how%20close,Precision%20is%20independent%20of%20accuracy.">"Practices of Science: Precision vs. Accuracy | manoa.hawaii.edu/ExploringOurFluidEarth"</a>. <i>manoa.hawaii.edu</i><span class="reference-accessdate">. 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(2009-09-01). <a rel="nofollow" class="external text" href="https://doi.org/10.1093%2Flpr%2Fmgp013">"Painting the target around the matching profile: the Texas sharpshooter fallacy in forensic DNA interpretation"</a>. <i>Law, Probability and Risk</i>. <b>8</b> (3): 257–276. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1093%2Flpr%2Fmgp013">10.1093/lpr/mgp013</a></span>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/1470-8396">1470-8396</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Law%2C+Probability+and+Risk&rft.atitle=Painting+the+target+around+the+matching+profile%3A+the+Texas+sharpshooter+fallacy+in+forensic+DNA+interpretation&rft.volume=8&rft.issue=3&rft.pages=257-276&rft.date=2009-09-01&rft_id=info%3Adoi%2F10.1093%2Flpr%2Fmgp013&rft.issn=1470-8396&rft.aulast=Thompson&rft.aufirst=W.+C.&rft_id=https%3A%2F%2Fdoi.org%2F10.1093%252Flpr%252Fmgp013&rfr_id=info%3Asid%2Fen.wikipedia.org%3APrecision+bias" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Precision_bias&action=edit&section=3" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://www.e-elgar.co.uk/bookentry_main.lasso?id=307"><i>Truth Versus Precision In Economics</i>, Thomas Mayer, Emeritus Professor of Economics, University of California</a></li> <li><a rel="nofollow" class="external text" href="https://www.onepetro.org/conference-paper/PSIG-0009">"Less Is More: Accuracy vs. Precision In Modeling", Susan Bachman et al.</a> ("Many modelers assume that building with more precision yields a more accurate model.")</li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl 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a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Biases" title="Template:Biases"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Biases" title="Template talk:Biases"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Biases" 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bias">Attentional</a></li> <li><a href="/wiki/Attribution_bias" title="Attribution bias">Attribution</a> <ul><li><a href="/wiki/Actor%E2%80%93observer_asymmetry" title="Actor–observer asymmetry">Actor–observer</a></li> <li><a href="/wiki/Fundamental_attribution_error" title="Fundamental attribution error">Correspondence</a></li></ul></li> <li><a href="/wiki/Authority_bias" title="Authority bias">Authority</a></li> <li><a href="/wiki/Automation_bias" title="Automation bias">Automation</a></li> <li><a href="/wiki/Availability_heuristic" title="Availability heuristic">Availability</a> <ul><li><a href="/wiki/Mean_world_syndrome" title="Mean world syndrome">Mean world</a></li></ul></li> <li><a href="/wiki/Belief_bias" title="Belief bias">Belief</a></li> <li><a href="/wiki/Bias_blind_spot" title="Bias blind spot">Blind spot</a></li> <li><a href="/wiki/Choice-supportive_bias" title="Choice-supportive bias">Choice-supportive</a></li> <li><a href="/wiki/Escalation_of_commitment" title="Escalation of commitment">Commitment</a></li> <li><a href="/wiki/Confirmation_bias" title="Confirmation bias">Confirmation</a> <ul><li><a href="/wiki/Selective_perception" title="Selective perception">Selective perception</a></li></ul></li> <li><a href="/wiki/Compassion_fade" title="Compassion fade">Compassion fade</a></li> <li><a href="/wiki/Congruence_bias" title="Congruence bias">Congruence</a></li> <li><a href="/wiki/Cultural_bias" title="Cultural bias">Cultural</a></li> <li><a href="/wiki/Declinism" title="Declinism">Declinism</a></li> <li><a href="/wiki/Distinction_bias" title="Distinction bias">Distinction</a></li> <li><a href="/wiki/Dunning%E2%80%93Kruger_effect" title="Dunning–Kruger effect">Dunning–Kruger</a></li> <li><a href="/wiki/Egocentric_bias" title="Egocentric bias">Egocentric</a> <ul><li><a href="/wiki/Curse_of_knowledge" title="Curse of knowledge">Curse of knowledge</a></li></ul></li> <li><a href="/wiki/Emotional_bias" title="Emotional bias">Emotional</a></li> <li><a href="/wiki/Extrinsic_incentives_bias" title="Extrinsic incentives bias">Extrinsic incentives</a></li> <li><a href="/wiki/Fading_affect_bias" title="Fading affect bias">Fading affect</a></li> <li><a href="/wiki/Framing_effect_(psychology)" title="Framing effect (psychology)">Framing</a></li> <li><a href="/wiki/Frequency_illusion" title="Frequency illusion">Frequency</a></li> <li><a href="/wiki/Frog_pond_effect" title="Frog pond effect">Frog pond effect</a></li> <li><a href="/wiki/Halo_effect" title="Halo effect">Halo effect</a></li> <li><a href="/wiki/Hindsight_bias" title="Hindsight bias">Hindsight</a></li> <li><a href="/wiki/Horn_effect" title="Horn effect">Horn effect</a></li> <li><a href="/wiki/Hostile_attribution_bias" title="Hostile attribution bias">Hostile attribution</a></li> <li><a href="/wiki/Impact_bias" title="Impact bias">Impact</a></li> <li><a href="/wiki/Implicit_stereotype" title="Implicit stereotype">Implicit</a></li> <li><a href="/wiki/In-group_favoritism" title="In-group favoritism">In-group</a></li> <li><a href="/wiki/Intentionality_bias" title="Intentionality bias">Intentionality</a></li> <li><a href="/wiki/Illusion_of_transparency" title="Illusion of transparency">Illusion of transparency</a></li> <li><a href="/wiki/Mean_world_syndrome" title="Mean world syndrome">Mean world syndrome</a></li> <li><a href="/wiki/Mere-exposure_effect" title="Mere-exposure effect">Mere-exposure effect</a></li> <li><a href="/wiki/Narrative_bias" title="Narrative bias">Narrative</a></li> <li><a href="/wiki/Negativity_bias" title="Negativity bias">Negativity</a></li> <li><a href="/wiki/Normalcy_bias" title="Normalcy bias">Normalcy</a></li> <li><a href="/wiki/Omission_bias" title="Omission bias">Omission</a></li> <li><a href="/wiki/Optimism_bias" title="Optimism bias">Optimism</a></li> <li><a href="/wiki/Out-group_homogeneity" title="Out-group homogeneity">Out-group homogeneity</a></li> <li><a href="/wiki/Outcome_bias" title="Outcome bias">Outcome</a></li> <li><a href="/wiki/Overton_window" title="Overton window">Overton window</a></li> <li><a class="mw-selflink selflink">Precision</a></li> <li><a href="/wiki/Present_bias" title="Present bias">Present</a></li> <li><a href="/wiki/Pro-innovation_bias" title="Pro-innovation bias">Pro-innovation</a></li> <li><a href="/wiki/Proximity_bias" title="Proximity bias">Proximity</a></li> <li><a href="/wiki/Response_bias" title="Response bias">Response</a></li> <li><a href="/wiki/Restraint_bias" title="Restraint bias">Restraint</a></li> <li><a href="/wiki/Self-serving_bias" title="Self-serving bias">Self-serving</a></li> <li><a href="/wiki/Social_comparison_bias" title="Social comparison bias">Social comparison</a></li> <li><a href="/wiki/Social_influence_bias" title="Social influence bias">Social influence bias</a></li> <li><a href="/wiki/Spotlight_effect" title="Spotlight effect">Spotlight</a></li> <li><a href="/wiki/Status_quo_bias" title="Status quo bias">Status quo</a></li> <li><a href="/wiki/Attribute_substitution" title="Attribute substitution">Substitution</a></li> <li><a href="/wiki/Time-saving_bias" title="Time-saving bias">Time-saving</a></li> <li><a href="/wiki/Trait_ascription_bias" title="Trait ascription bias">Trait ascription</a></li> <li><a href="/wiki/Turkey_illusion" title="Turkey illusion">Turkey illusion</a></li> <li><a href="/wiki/Von_Restorff_effect" title="Von Restorff effect">von Restorff effect</a></li> <li><a href="/wiki/Zero-risk_bias" title="Zero-risk bias">Zero-risk</a></li> <li><a href="/wiki/Cognitive_bias_in_animals" title="Cognitive bias in animals">In animals</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Bias_(statistics)" title="Bias (statistics)">Statistical biases</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bias_of_an_estimator" title="Bias of an estimator">Estimator</a></li> <li><a href="/wiki/Forecast_bias" title="Forecast bias">Forecast</a></li> <li><a href="/wiki/Healthy_user_bias" title="Healthy user bias">Healthy user</a></li> <li><a href="/wiki/Information_bias_(epidemiology)" title="Information bias (epidemiology)">Information</a> <ul><li><a href="/wiki/Information_bias_(psychology)" title="Information bias (psychology)">Psychological</a></li></ul></li> <li><a href="/wiki/Lead_time_bias" title="Lead time bias">Lead time</a></li> <li><a href="/wiki/Length_time_bias" title="Length time bias">Length time</a></li> <li><a href="/wiki/Participation_bias" title="Participation bias">Non-response</a></li> <li><a href="/wiki/Observer_bias" title="Observer bias">Observer</a></li> <li><a href="/wiki/Omitted-variable_bias" title="Omitted-variable bias">Omitted-variable</a></li> <li><a href="/wiki/Participation_bias" title="Participation bias">Participation</a></li> <li><a href="/wiki/Recall_bias" title="Recall bias">Recall</a></li> <li><a href="/wiki/Sampling_bias" title="Sampling bias">Sampling</a></li> <li><a href="/wiki/Selection_bias" title="Selection bias">Selection</a></li> <li><a href="/wiki/Self-selection_bias" title="Self-selection bias">Self-selection</a></li> <li><a href="/wiki/Social-desirability_bias" title="Social-desirability bias">Social desirability</a></li> <li><a href="/wiki/Spectrum_bias" title="Spectrum bias">Spectrum</a></li> <li><a href="/wiki/Survivorship_bias" title="Survivorship bias">Survivorship</a></li> <li><a href="/wiki/Systematic_error" class="mw-redirect" title="Systematic error">Systematic error</a></li> <li><a href="/wiki/Systemic_bias" title="Systemic bias">Systemic</a></li> <li><a href="/wiki/Verification_bias" title="Verification bias">Verification</a></li> <li><a href="/wiki/Wet_bias" title="Wet bias">Wet</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other biases</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Academic_bias" title="Academic bias">Academic</a></li> <li><a href="/wiki/Basking_in_reflected_glory" title="Basking in reflected glory">Basking in reflected glory</a></li> <li><i><a href="/wiki/D%C3%A9formation_professionnelle" title="Déformation professionnelle">Déformation professionnelle</a></i></li> <li><a href="/wiki/Funding_bias" title="Funding bias">Funding</a></li> <li><a href="/wiki/FUTON_bias" class="mw-redirect" title="FUTON bias">FUTON</a></li> <li><a href="/wiki/Inductive_bias" title="Inductive bias">Inductive</a></li> <li><a href="/wiki/Infrastructure_bias" title="Infrastructure bias">Infrastructure</a></li> <li><a href="/wiki/Inherent_bias" title="Inherent bias">Inherent</a></li> <li><a href="/wiki/Bias_in_education" class="mw-redirect" title="Bias in education">In education</a></li> <li><a href="/wiki/Liking_gap" title="Liking gap">Liking gap</a></li> <li><a href="/wiki/Media_bias" title="Media bias">Media</a> <ul><li><a href="/wiki/False_balance" title="False balance">False balance</a></li> <li><a href="/wiki/United_States_news_media_and_the_Vietnam_War" title="United States news media and the Vietnam War">Vietnam War</a></li> <li><a href="/wiki/Media_of_Norway" class="mw-redirect" title="Media of Norway">Norway</a></li> <li><a href="/wiki/Media_bias_in_South_Asia" title="Media bias in South Asia">South Asia</a></li> <li><a href="/wiki/Media_of_Sweden" class="mw-redirect" title="Media of Sweden">Sweden</a></li> <li><a href="/wiki/Media_bias_in_the_United_States" title="Media bias in the United States">United States</a></li> <li><a href="/wiki/Media_coverage_of_the_Arab%E2%80%93Israeli_conflict" class="mw-redirect" title="Media coverage of the Arab–Israeli conflict">Arab–Israeli conflict</a></li> <li><a href="/wiki/Media_portrayal_of_the_Ukrainian_crisis" class="mw-redirect" title="Media portrayal of the Ukrainian crisis">Ukraine</a></li></ul></li> <li><a href="/wiki/Net_bias" title="Net bias">Net</a></li> <li><a href="/wiki/Political_bias" title="Political bias">Political bias</a></li> <li><a href="/wiki/Publication_bias" title="Publication bias">Publication</a></li> <li><a href="/wiki/Reporting_bias" title="Reporting bias">Reporting</a></li> <li><a href="/wiki/White_hat_bias" title="White hat bias">White hat</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Bias reduction</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Cognitive_bias_mitigation" title="Cognitive bias mitigation">Cognitive bias mitigation</a></li> <li><a href="/wiki/Debiasing" title="Debiasing">Debiasing</a></li> <li><a href="/wiki/Heuristic_(psychology)" title="Heuristic (psychology)">Heuristics in judgment and decision-making</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow hlist" colspan="2"><div> <ul><li>Lists: 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