{"id":6564,"date":"2018-05-01T01:34:37","date_gmt":"2018-05-01T05:34:37","guid":{"rendered":"http:\/\/www.decisionsciencenews.com\/?p=6564"},"modified":"2018-05-01T09:33:26","modified_gmt":"2018-05-01T13:33:26","slug":"nineteen-vs-twenty","status":"publish","type":"post","link":"https:\/\/www.decisionsciencenews.com\/?p=6564","title":{"rendered":"Nineteen vs twenty"},"content":{"rendered":"<p>DIGGING THE JUST NOTICEABLE DIFFERENCE<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/www.decisionsciencenews.com\/wp-content\/uploads\/2018\/04\/unees_bees.gif\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-6592\" src=\"http:\/\/www.decisionsciencenews.com\/wp-content\/uploads\/2018\/04\/unees_bees.gif\" alt=\"\" width=\"485\" height=\"312\" \/><\/a><\/p>\n<p>We were getting an egg and cheese on a roll at a deli the other day and started chatting with the cashier about politics and he said that two people were like 19 vs 20.<\/p>\n<p>We said, &#8220;19 vs 20, what&#8217;s that mean?&#8221;<\/p>\n<p>He said, &#8220;It means basically the same thing. Different but not really different&#8221;<\/p>\n<p>We said, &#8220;Where do they say that?&#8221;<\/p>\n<p>He said, &#8220;Pakistan&#8221;<\/p>\n<p>As we continued walking to work, we were thinking &#8220;this is the best saying ever.&#8221;<\/p>\n<p>In the psychology of sensation and perception, differences in sensation of 5% (e.g., 19 vs 20) are often not detectable. People can\u2019t reliably tell if a rock that weighs 19 pounds is heavier or lighter than a rock that weighs 20 pounds. If the threshold for detecting differences is k, k is called the <strong>Weber fraction<\/strong>. Here&#8217;s are some estimated Weber fractions (as percentages) for a number of stimulus dimensions:<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/www.decisionsciencenews.com\/wp-content\/uploads\/2018\/04\/wf.gif\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-6593\" src=\"http:\/\/www.decisionsciencenews.com\/wp-content\/uploads\/2018\/04\/wf.gif\" alt=\"\" width=\"485\" height=\"447\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/www.computer.org\/csdl\/trans\/th\/2013\/03\/tth2013030268-abs.html\">Source<\/a><\/p>\n<p>As we can see, in many domains, k is greater than 5%, meaning that for many things, the 19 vs 20 difference is not detectable.<\/p>\n<p>Next, we wanted to see if we could find some web pages on this topic, you know, for blogging.<\/p>\n<p>Searching on &#8220;19 vs 20&#8221; in English was not a successful search strategy.<\/p>\n<p>We thought, well, maybe if it&#8217;s said in Pakistan, it&#8217;s said in India, too? We asked a couple of Indian colleagues in the lab and bingo, both knew the phrase. In Hindi, it&#8217;s &#8220;unees bees ka fark&#8221;:<\/p>\n<p><strong>unees<\/strong> means &#8216;nineteen&#8217;<\/p>\n<p><strong>bees<\/strong> means &#8216;twenty&#8217;<\/p>\n<p><strong>ka fark<\/strong> means &#8216;the difference between&#8217;<\/p>\n<p>My colleague Chinmay Singh adds the following<\/p>\n<blockquote><p>There is question on Quora about this topic:<br \/>\n<a href=\"https:\/\/www.quora.com\/What-is-the-English-of-Unees-bees-ka-fark\">https:\/\/www.quora.com\/What-is-the-English-of-Unees-bees-ka-fark<\/a><\/p>\n<p>The exact words can be loosely translated as \u201cdifference of nineteen twenty\u201d, as in the difference between two things being compared is the same as that between nineteen and twenty.<\/p>\n<p>Please note there is subtle difference between this idiom and the English variant \u201csix of one, half a dozen of the other\u201d. The Hindi phrase acknowledges that the difference actually exists, but should be ignored because it is (statistically) insignificant. The English phrase suggests that it\u2019s only a matter of saying it differently as the two choices are identical otherwise.<\/p><\/blockquote>\n<p>NOTES:<\/p>\n<ul>\n<li>While we wish the Weber fraction was named for JDM researcher Elke Weber, it&#8217;s actually named for Ernst Heinrich Weber who died\u00a0unfortunately in 1878.<\/li>\n<li>The ideas of the just noticeable difference and Weber fraction are useful but false models that have been supplanted. When we wrote a term paper on the topic for Stephen Stigler&#8217;s History of Statistics class, we learned about the 1885 <a href=\"http:\/\/caziot.eu\/library\/peirce_jastrow_1885.pdf\">attack on the just noticeable difference<\/a> (<em>unterschiedsschwelle<\/em>) by Charles Sanders Peirce and Joseph Jastrow.<\/li>\n<li>As the image above shows, &#8220;nineteen twenty&#8221; is the name of an awesome looking movie as well.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>DIGGING THE JUST NOTICEABLE DIFFERENCE We were getting an egg and cheese on a roll at a deli the other day and started chatting with the cashier about politics and he said that two people were like 19 vs 20. We said, &#8220;19 vs 20, what&#8217;s that mean?&#8221; He said, &#8220;It means basically the same [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[16],"tags":[1723,1727,1726,1721,1464,1717,1719,1724,1725,1718,1722,1720],"class_list":["post-6564","post","type-post","status-publish","format-standard","hentry","category-ideas","tag-bees","tag-dozen","tag-half","tag-hindi","tag-india","tag-nineteen","tag-pakistan","tag-phrase","tag-six","tag-twenty","tag-unees","tag-urdu"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p4LKj-1HS","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/posts\/6564","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6564"}],"version-history":[{"count":6,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/posts\/6564\/revisions"}],"predecessor-version":[{"id":6616,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/posts\/6564\/revisions\/6616"}],"wp:attachment":[{"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6564"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6564"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6564"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}