{"id":7375,"date":"2024-09-24T08:00:28","date_gmt":"2024-09-24T12:00:28","guid":{"rendered":"https:\/\/dahlman.online\/?p=7375"},"modified":"2024-09-24T08:00:28","modified_gmt":"2024-09-24T12:00:28","slug":"margin-of-error","status":"publish","type":"post","link":"https:\/\/dahlman.online\/index.php\/2024\/09\/24\/margin-of-error\/","title":{"rendered":"Margin of Error"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">Old Timer<\/h3>\n\n\n\n<p class=\"\">I ain\u2019t no mathematician (and obviously no grammarian either).&nbsp;&nbsp;But statistics were a part of my life for a long time.&nbsp;&nbsp;Take track and field.&nbsp;&nbsp;In the \u201cgood old days\u201d, before all of the fancy cameras (the ones that take a picture of \u201ctime over the finish line\u201d, instead of space \u2013 <em>see below<\/em>) and automatic start timers, we used devices called stopwatches.&nbsp;&nbsp;If there were eight racers, there were eight or more people designated as timers.&nbsp;&nbsp;They all watched the starter. When they saw smoke from his gun, they pushed the button to start their watch.&nbsp;&nbsp;Then they focused on the finish line, and when the torso of the runner they were timing crossed, they pushed the button again.<\/p>\n\n\n\n<p class=\"\">Really good timers would be consistent, both from race to race and with each other.&nbsp;&nbsp;And so with experienced timers, two people could time the same place, and get the same time, within a tenth of a second.&nbsp;&nbsp;And there was a rule in the book:&nbsp;&nbsp;if two timers timed the same place, the slower time counted.&nbsp;&nbsp;A tenth of a second was a good as humans could get.&nbsp;&nbsp;Even when electric watches came that timed to the hundredth of a second, we (by the book) always rounded up to the next slowest tenth.&nbsp;&nbsp;So a time in the 100 meters of 10.90 was 10.9, but 10.91 was 11.0.&nbsp;&nbsp;We recognized that no one was good enough to catch the exact hundredth.&nbsp;&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Wiggle Room<\/h3>\n\n\n\n<p class=\"\">(<em>By the way, now with fully automatic timing the same rule applies, but to a different order of magnitude.&nbsp;&nbsp;The \u201cmachine\u201d normally places times to the hundredth of a second.&nbsp;&nbsp;10.90 is 10.90, and 10.91 is slower.&nbsp;&nbsp;But, if two athletes run 10.90, the machine can go to the thousandth. 10.895 is faster than 10.897.&nbsp;&nbsp;But if two athletes run 10.895, then it\u2019s a tie.&nbsp;&nbsp;Even the fully automatic start and video cameras have limits.)<\/em><\/p>\n\n\n\n<p class=\"\">In track time and measuring there is always a margin of error.\u00a0\u00a0Discus is measured to the lesser inch; shot, high jump, pole vault and long jump to the lesser quarter-inch.\u00a0\u00a0We recognize that there is a margin of error in measurement, just like we recognize there is one in timing.\u00a0\u00a0(<em>With improvements in laser measuring, that may someday get &#8220;tighter&#8221;, like timing did.  Tape measures are already being replaced by laser sights and reflecting pins).\u00a0<\/em><\/p>\n\n\n\n<p class=\"\">Ok, I\u2019ve beat the margin of error concept to death.\u00a0\u00a0But the same thing is true in lots of other forms of measuring, and it\u2019s easy to be fooled.\u00a0\u00a0So to quote the British Rockers The Who, we \u201cWon\u2019t get fooled again!!\u201d\u00a0<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">NBC Poll<\/h3>\n\n\n\n<p class=\"\">NBC News announced the results of their newest poll Sunday.&nbsp;&nbsp;This new survey has Kamala Harris at 49%, and Donald Trump at 44%.&nbsp;&nbsp;&nbsp;Steve Kornacki, the NBC polling \u201cguru\u201d was almost giddy in describing it, showing the big shift from July.  Those results had then-candidate Biden with 43% and Trump at 45%.&nbsp;&nbsp;But here\u2019s the problem, that damned margin of error thing.&nbsp;&nbsp;The mathematical margin of error in this poll is +\/- 3.1%.&nbsp;&nbsp;That means that Harris could be as low as 45.9%, and Trump could be as high as 47.1%.&nbsp;&nbsp;Or it means that Harris could be at 52.1%, and Trump 41.9%.&nbsp;&nbsp;Or anywhere in between.&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"\">And the July poll was the same way.&nbsp;&nbsp;So, given the margin of error, what does this poll really tell us?&nbsp;&nbsp;It\u2019s close.&nbsp;&nbsp;That\u2019s all.&nbsp;&nbsp;And perhaps, it looks like Harris is doing better than Biden, but it\u2019s all within the margin of error, so there\u2019s no sure thing.&nbsp;<\/p>\n\n\n\n<p class=\"\">Listen, Americans all want a winner and a loser.&nbsp;&nbsp;It&#8217;s great to see the Bengals and the Chiefs, Burrow and Mahomes, battle it out on the football field.&nbsp;&nbsp;We marvel at the accuracy of their passing, and the agility of their runs.&nbsp;&nbsp;But, in the end, we really remember one thing.&nbsp;&nbsp;The Chiefs won the game (Dammit, wait until next time!!).<\/p>\n\n\n\n<p class=\"\">We want to evaluate polls like they were scores.&nbsp;&nbsp;So we ignore \u201cmargins of error\u201d and just say \u201cwe\u2019re winning\u201d or \u201cthey\u2019re losing\u201d. And, in the end polls might give us some sense of what\u2019s going on, but they are very, very, deceptive.&nbsp;&nbsp;We are fooled because we want a score.&nbsp;&nbsp;Don&#8217;t get fooled again!!<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Pictures of Time<\/h3>\n\n\n\n<p class=\"\">And, by the way, even if the results are beyond the margins of error:&nbsp;&nbsp;polls are a lot like those photo-finish pictures you see from the track meet.&nbsp;&nbsp;While it looks like a \u201cu\u201d shape with all the runners, it\u2019s actually a picture of the exact same finish line, taken over time as each runner crosses the line.&nbsp;&nbsp;The faster runners are in front, because they finished first.&nbsp;&nbsp;If you look closely at the picture you\u2019ll see the&nbsp;&nbsp;thin, red finish line, over and over again as each runner crossed.&nbsp;&nbsp;The space between the lines \u2013 is the time interval between the&nbsp;&nbsp;first runner and the next, all the way to eighth.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"840\" height=\"471\" data-attachment-id=\"7378\" data-permalink=\"https:\/\/dahlman.online\/index.php\/2024\/09\/24\/margin-of-error\/photo-finish-pic-of-the-mens-100m-final-v0-drbw3vkidpgd1-png-2\/\" data-orig-file=\"https:\/\/i0.wp.com\/dahlman.online\/wp-content\/uploads\/2024\/09\/photo-finish-pic-of-the-mens-100m-final-v0-drbw3vkidpgd1.png-1.webp?fit=1705%2C956&amp;ssl=1\" data-orig-size=\"1705,956\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"photo-finish-pic-of-the-mens-100m-final-v0-drbw3vkidpgd1.png\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/dahlman.online\/wp-content\/uploads\/2024\/09\/photo-finish-pic-of-the-mens-100m-final-v0-drbw3vkidpgd1.png-1.webp?fit=840%2C471&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/dahlman.online\/wp-content\/uploads\/2024\/09\/photo-finish-pic-of-the-mens-100m-final-v0-drbw3vkidpgd1.png-1.webp?resize=840%2C471&#038;ssl=1\" alt=\"\" class=\"wp-image-7378\" srcset=\"https:\/\/i0.wp.com\/dahlman.online\/wp-content\/uploads\/2024\/09\/photo-finish-pic-of-the-mens-100m-final-v0-drbw3vkidpgd1.png-1.webp?resize=1024%2C574&amp;ssl=1 1024w, https:\/\/i0.wp.com\/dahlman.online\/wp-content\/uploads\/2024\/09\/photo-finish-pic-of-the-mens-100m-final-v0-drbw3vkidpgd1.png-1.webp?resize=300%2C168&amp;ssl=1 300w, https:\/\/i0.wp.com\/dahlman.online\/wp-content\/uploads\/2024\/09\/photo-finish-pic-of-the-mens-100m-final-v0-drbw3vkidpgd1.png-1.webp?resize=768%2C431&amp;ssl=1 768w, https:\/\/i0.wp.com\/dahlman.online\/wp-content\/uploads\/2024\/09\/photo-finish-pic-of-the-mens-100m-final-v0-drbw3vkidpgd1.png-1.webp?resize=1536%2C861&amp;ssl=1 1536w, https:\/\/i0.wp.com\/dahlman.online\/wp-content\/uploads\/2024\/09\/photo-finish-pic-of-the-mens-100m-final-v0-drbw3vkidpgd1.png-1.webp?resize=1200%2C673&amp;ssl=1 1200w, https:\/\/i0.wp.com\/dahlman.online\/wp-content\/uploads\/2024\/09\/photo-finish-pic-of-the-mens-100m-final-v0-drbw3vkidpgd1.png-1.webp?w=1705&amp;ssl=1 1705w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/><\/figure>\n\n\n\n<p class=\"\">How much did Noah Lyles win the Olympic Gold Medal by?&nbsp;&nbsp;The slim difference between the first and second red lines, 9.784 to 9.789,&nbsp;&nbsp;5 thousandths of a second. The photo-finish picture is of a moment (or about \u00bd a second) in time.&nbsp;&nbsp;If they lined up and did it again, it might be completely different.<\/p>\n\n\n\n<p class=\"\">In the same way, polls, even beyond the margins, are simply a snapshot of a moment in the political race.&nbsp;&nbsp;The only finish line is on election day, 41 days away.&nbsp;That&#8217;s the only time it counts.<\/p>\n\n\n\n<p class=\"\">Let me paraphrase President Obama:<\/p>\n\n\n\n<p class=\"\">&nbsp;\u201cDon\u2019t cheer, VOTE.\u201d <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Old Timer I ain\u2019t no mathematician (and obviously no grammarian either).&nbsp;&nbsp;But statistics were a part of my life for a long time.&nbsp;&nbsp;Take track and field.&nbsp;&nbsp;In the \u201cgood old days\u201d, before all of the fancy cameras (the ones that take a picture of \u201ctime over the finish line\u201d, instead of space \u2013 see below) and automatic &hellip; <a href=\"https:\/\/dahlman.online\/index.php\/2024\/09\/24\/margin-of-error\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Margin of Error&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","om_disable_all_campaigns":false,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-7375","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - 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