tag:blogger.com,1999:blog-32826467987094825212024-03-12T19:31:50.259-04:00StatpicsDevoted to images that illustrate statistical ideasDr.J.http://www.blogger.com/profile/01823655709082796531noreply@blogger.comBlogger326125tag:blogger.com,1999:blog-3282646798709482521.post-38787303383876624182017-02-23T12:00:00.000-05:002017-02-23T12:00:17.948-05:00Couldn't Resist<div class="separator" style="clear: both; text-align: center;">
<a href="https://2.bp.blogspot.com/-VemqTkLtxpM/WK7oeYUkycI/AAAAAAAAHDM/jg8WOIWy784OJQb3u8qLMSyNsxlOIPpzwCLcB/s1600/Mona-Chalabi_IMG_9573-1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="https://2.bp.blogspot.com/-VemqTkLtxpM/WK7oeYUkycI/AAAAAAAAHDM/jg8WOIWy784OJQb3u8qLMSyNsxlOIPpzwCLcB/s400/Mona-Chalabi_IMG_9573-1.jpg" width="400" /></a></div>
From <a href="https://www.instagram.com/mona_chalabi/?hl=en">Monica Calabi</a> via <a href="http://junkcharts.typepad.com/junk_charts/2017/02/light-entertainment-making-art-by-making-data.html">Junk Charts</a> via <a href="https://www.wired.com/2017/02/nerdy-charm-artisanal-hand-drawn-infographics/">Wired</a>. Of course, this is prone to the <a href="http://statpics.blogspot.com/2016/09/maybe-this-information-is-beautiful-its.html">dimensional problem</a> we've seen before.Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com1tag:blogger.com,1999:blog-3282646798709482521.post-85736262105460842662017-02-03T12:00:00.000-05:002017-02-03T12:00:03.873-05:00Post Modern Bell Wear<div class="separator" style="clear: both; text-align: center;">
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<iframe width="320" height="266" class="YOUTUBE-iframe-video" data-thumbnail-src="https://i.ytimg.com/vi/d03mJD2Pk0Y/0.jpg" src="https://www.youtube.com/embed/d03mJD2Pk0Y?feature=player_embedded" frameborder="0" allowfullscreen></iframe></div>
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Watch a fun video <a href="http://postmodernjukebox.com/post/new-video-sarah-reich-stars-evolution-tap-dance/">The Evolution of Tap Dance</a> by <a href="http://postmodernjukebox.com/">Post Modern Jukebox</a> with tap dancer <a href="http://www.sarahreich.com/">Sarah Reich</a>. Note the bell-shaped distribution pattern of wear on her tap platform: most wear in the middle and less towards the edges.Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-36348037128336039262016-12-19T14:30:00.000-05:002016-12-19T14:30:03.162-05:00Self-Referential Santa<div class="separator" style="clear: both; text-align: center;">
<a href="https://1.bp.blogspot.com/-CSXFLTrWvY8/WFgr2Puxn0I/AAAAAAAAEbo/FjddXUXqTNAsfHjNRkmoDOfJdnlQLnsygCLcB/s1600/santaRock.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://1.bp.blogspot.com/-CSXFLTrWvY8/WFgr2Puxn0I/AAAAAAAAEbo/FjddXUXqTNAsfHjNRkmoDOfJdnlQLnsygCLcB/s320/santaRock.jpg" width="252" /></a></div>
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<span style="background-color: white; color: #333333; font-family: Times, "Times New Roman", serif; font-size: 16.875px;"><a href="http://www.futilitycloset.com/2016/06/22/presto-7/">Futility Closet</a> offers <a href="https://en.wikipedia.org/wiki/Raymond_Smullyan">Raymond Smullyan</a>'s self-referential proof of the existence of Santa Claus:</span></div>
<blockquote class="tr_bq" style="-webkit-tap-highlight-color: rgba(0, 0, 0, 0); background-color: white; color: #333333; font-size: 16.875px; line-height: inherit; margin-bottom: 1.5rem; margin-top: 1.5rem;">
<div class="MsoNormal">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; font-family: "Times New Roman", serif; font-size: 12.5pt; line-height: 107%;">A: Santa Claus exists,
if I am not mistaken.</span><span style="font-family: "Times New Roman", serif; font-size: 12.5pt; line-height: 107%;"><br style="-webkit-tap-highlight-color: rgba(0, 0, 0, 0);" />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;">B: Well, of course Santa Claus exists<span class="apple-converted-space"> </span><em style="-webkit-tap-highlight-color: rgba(0, 0, 0, 0);">if you are not
mistaken!</em></span><br style="-webkit-tap-highlight-color: rgba(0, 0, 0, 0);" />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;">A: So, I was right.</span><br style="-webkit-tap-highlight-color: rgba(0, 0, 0, 0);" />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;">B: Yes.</span><br style="-webkit-tap-highlight-color: rgba(0, 0, 0, 0);" />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;">A: So, I was not mistaken.</span><br style="-webkit-tap-highlight-color: rgba(0, 0, 0, 0);" />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;">B: Yes.</span><br style="-webkit-tap-highlight-color: rgba(0, 0, 0, 0);" />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;">A: Hence, Santa Claus exists.</span></span><span style="font-family: "Times New Roman",serif;"><o:p></o:p></span></div>
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Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-85420528417557375732016-10-31T12:00:00.000-04:002016-10-31T12:00:10.479-04:00Stepping Up<div class="separator" style="clear: both; text-align: center;">
<a href="https://3.bp.blogspot.com/-Ph2F70LJyl4/WBZGcPgX2pI/AAAAAAAAD_I/3d3ddkqaEHo9xcI09qbqmZr-hWRzTMniwCLcB/s1600/IMG_4699.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://3.bp.blogspot.com/-Ph2F70LJyl4/WBZGcPgX2pI/AAAAAAAAD_I/3d3ddkqaEHo9xcI09qbqmZr-hWRzTMniwCLcB/s400/IMG_4699.JPG" width="300" /></a></div>
This is a ladder leading to an elevated playhouse for kids visiting <a href="http://www.montgomeryparks.org/parks-and-trails/brookside-gardens/">Brookside Gardens</a> in Maryland. The ladder reveals a frequency distribution of foot placement wear. On most steps we see more wear in the middle of the ladder rung and less wear towards the left and right edges. This leaves a bell-shaped pattern of use.<br />
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But a rung near the bottom has a bi-modal pattern, showing the wear resulting from both left and right feet. This doesn't persist on higher rungs. There the wear seems more central. So why not on the lower rung as well? Perhaps central steps on higher rungs feel safer. A care that is not that needed closer to the ground.Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com1tag:blogger.com,1999:blog-3282646798709482521.post-34116884112694763382016-10-24T12:00:00.000-04:002016-10-24T12:00:10.175-04:00Guitar Fret Wear?<div class="separator" style="clear: both; text-align: center;">
<a href="https://3.bp.blogspot.com/-PTBURC9qtKs/WAzNA7EeimI/AAAAAAAAD-o/qGD0yzyBCEsP08IObMS0Z9yQBm5p3GlnQCLcB/s1600/GuitarFretWear.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://3.bp.blogspot.com/-PTBURC9qtKs/WAzNA7EeimI/AAAAAAAAD-o/qGD0yzyBCEsP08IObMS0Z9yQBm5p3GlnQCLcB/s400/GuitarFretWear.jpg" width="225" /></a></div>
Here is an image from <a href="http://imgur.com/i2VVxSQ">imgur</a> of the fret board on a 1956 Fender Stratocaster guitar showing the frequency distribution of playing wear (thanks Scott). But many on <a href="https://www.reddit.com/r/mildlyinteresting/comments/58mblz/the_fretboard_of_this_1956_fender_stratocaster/">Reddit</a> disagree, calling it faked. Not being a guitar player, I can't judge. What do you think?Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-56762021205914780122016-10-17T12:00:00.000-04:002016-10-17T12:00:11.009-04:00Fair, Minimal Symmetry Dice<div class="separator" style="clear: both; text-align: center;">
<iframe allowfullscreen="" class="YOUTUBE-iframe-video" data-thumbnail-src="https://i.ytimg.com/vi/uAnCL3vhVIs/0.jpg" frameborder="0" height="266" src="https://www.youtube.com/embed/uAnCL3vhVIs?feature=player_embedded" width="320"></iframe></div>
Mathematician <a href="http://www.segerman.org/">Henry Segerman</a> demonstrates his 3D printed skewed or squished six-sided dice. He states "they work like ordinary dice". He exploits 3D symmetries to produce these <a href="https://en.wikipedia.org/wiki/Isohedral_figure">isohedral</a> dice with "just enough symmetry to be fair". Check out his video above and links to his <a href="https://www.youtube.com/watch?v=pCCtcqyazOE">extra footage</a>.Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-3226626030848786232016-10-11T12:00:00.000-04:002016-10-11T12:00:17.505-04:00Menu Basket Queue<div class="separator" style="clear: both; text-align: center;">
<a href="https://2.bp.blogspot.com/-H195iIhq7xM/V_wjUGlWKVI/AAAAAAAAD-I/W0RVWa1-QhowTPcTZ_xZScQTyfsHEthGgCLcB/s1600/menus.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="https://2.bp.blogspot.com/-H195iIhq7xM/V_wjUGlWKVI/AAAAAAAAD-I/W0RVWa1-QhowTPcTZ_xZScQTyfsHEthGgCLcB/s400/menus.jpg" width="400" /></a></div>
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This is a view of a basket of menus at a restaurant in
Chincoteague, Virginia. Notice the pattern of marks left as groups of menus scratch
the wall when they are returned to the basket. As customers are seated at the restaurant, they are given
menus that are removed from the right hand side of the basket. After ordering, the menus are returned to the basket and placed to the right of the remaining menus. When a single is menu returned, it nicks the wall at a location that depends on how
many menus are currently in the hands of customers. If few menus are out with
the customers, more remain in the basket and the wall marks of this returning
menu will be further to the right. If many menus are out with customers, say just before the lunch rush, this returning menu will make a
mark on the wall further to the left.</div>
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<o:p></o:p></div>
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But it is not often that a single menu is returned alone. It is much more likely that a group of menus will be returned to the
basket in a bunch. The size of the bunch that is returned is random depending
on the size of the party seated. Each of the menus in the bunch makes a mark on
the wall as they are returned to the basket. What we see is a steady state
distribution of the number of seated customers, with menus in hand, waiting for
their order to be taken.<o:p></o:p></div>
<span style="font-family: "times new roman" , serif; font-size: 12.0pt;"><br clear="all" style="mso-special-character: line-break; page-break-before: always;" /></span>Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com1tag:blogger.com,1999:blog-3282646798709482521.post-38839803204709372952016-10-03T12:00:00.000-04:002016-10-03T12:00:29.216-04:00Manhattan Metric 2<div class="separator" style="clear: both; text-align: center;">
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<a href="https://1.bp.blogspot.com/-B6R-QBYvKgs/V-kYtU-VxhI/AAAAAAAADYc/aDFgUuYAQU0RAH8XCKOzyInFssNaYrN4ACEw/s1600/TaxicabQuadrant.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://1.bp.blogspot.com/-B6R-QBYvKgs/V-kYtU-VxhI/AAAAAAAADYc/aDFgUuYAQU0RAH8XCKOzyInFssNaYrN4ACEw/s400/TaxicabQuadrant.jpg" width="320" /></a></div>
In the <a href="http://statpics.blogspot.com/2016/09/manhattan-metric.html">previous post</a> we saw use of the program <a href="http://galton.urbica.co/?&ll=37.63019,55.756389&zoom=13&city=moscow_russia&mode=foot&page=about&lang=en">Galton</a> that maps out on city streets how far you can travel in 10 or 20 minutes. Displayed on a rectangular array of streets and avenues, square or rectangular regions develop, as walking is constrained to follow the paths of the gridded streets.<br />
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The image above is a <a href="https://www.google.com/earth/">Google Earth</a> view of the parking lot of an office building in Maryland. Commuters have parked their cars to enter a building just off the image at the lower left. They must follow perpendicular paths and walk between the cars and/or along the lanes to enter the building. But to minimize the distance of the walk, most have parked along lines of equal distance from the bottom left according to the Manhattan or city block metric. A few stragglers don't fit this pattern, perhaps wanting to protect their cars from door dings or just get a little extra exercise. But the prominent pattern in the image above is one quadrant of the rectangular 'circle' of the city block metric.<br />
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<a href="https://2.bp.blogspot.com/--GhUpb6UuAo/V-kYp2BqH_I/AAAAAAAADYY/CyQdunPzt7M4whetuBYalYSCvtA3-5T1QCLcB/s1600/TaxicabCircle.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://2.bp.blogspot.com/--GhUpb6UuAo/V-kYp2BqH_I/AAAAAAAADYY/CyQdunPzt7M4whetuBYalYSCvtA3-5T1QCLcB/s1600/TaxicabCircle.png" /></a></div>
This line graphic from <a href="http://taxicabgeometry.altervista.org/index.html">Taxicab Geometry.</a><br />
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Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-15589427607382906092016-09-26T12:00:00.000-04:002016-09-26T12:00:02.831-04:00Manhattan Metric<div class="separator" style="clear: both; text-align: center;">
<a href="https://4.bp.blogspot.com/-J8SJKS60WJc/V-bHXUykR7I/AAAAAAAADXo/kJm5CRz9zsUh5CNZUtuBnsg-0OBEpgYhwCLcB/s1600/CityBlockMetric.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="371" src="https://4.bp.blogspot.com/-J8SJKS60WJc/V-bHXUykR7I/AAAAAAAADXo/kJm5CRz9zsUh5CNZUtuBnsg-0OBEpgYhwCLcB/s400/CityBlockMetric.jpg" width="400" /></a></div>
<a href="http://urbica.co/">Urbica</a> is a design firm specializing in urban data analysis. They have developed a program called <a href="http://galton.urbica.co/">Galton</a> that graphs, for a few select cities, how far you could walk in 10 minutes (in dark blue) or 20 minutes (in lighter blue). The map of Manhattan above shows those regions for a walk originating at Broadway and 42st Street. As you walk NYC you are, for the most part, constrained to travel the grid of avenues and streets. Of course, you cannot travel as the crow flies. If you could, these regions would be concentric circles with a perimeter an equal (Euclidean) distance from your start. But walking the streets, your distance is measured by the city block metric (also known as the <a href="https://en.wikipedia.org/wiki/Taxicab_geometry">taxicab metric</a> or more appropriate here the Manhattan metric). This measures distances constrained along perpendicular avenues and streets. Plotting points of equal distance with this metric from would result in the roughly rectangular (or diamond-shaped) regions shown above. Since the streets and avenues are not equally spaced and obstacles can block our travel, we don't see perfect square or rectangular regions. By the Manhattan metric, circles become squares.<br />
Via <a href="http://googlemapsmania.blogspot.com/2016/09/where-could-you-walk-in-ten-minutes.html">Maps Mania</a>.<br />
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Next week, we will see directly the results of minimizing the distance traveled in such constrained walking.<br />
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Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-22851550624658093062016-09-19T12:00:00.000-04:002016-09-19T12:00:11.278-04:00Wow, It's Hot<div class="separator" style="clear: both; text-align: center;">
<a href="https://2.bp.blogspot.com/-Pn6XCH741jc/V91aSdu6iYI/AAAAAAAADXI/GBHuSqUqkpsg9ifqLSQqK2meock6p_G7gCLcB/s1600/earth_temperature_timeline.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://2.bp.blogspot.com/-Pn6XCH741jc/V91aSdu6iYI/AAAAAAAADXI/GBHuSqUqkpsg9ifqLSQqK2meock6p_G7gCLcB/s1600/earth_temperature_timeline.png" /></a></div>
From <a href="http://xkcd.com/1732/">xkcd</a>, a timeline of the earth's temperature from 20,000 BCE to the present, best seen <a href="http://xkcd.com/1732/">here</a>.<br />
<blockquote class="tr_bq">
When people say "the climate has changed before" these are the kind of changes they're talking about.</blockquote>
Since the last ice age glaciation, at no time has the climate changed faster than in the last few generations!Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-53273477151520388932016-09-12T12:00:00.000-04:002016-09-12T12:00:01.434-04:00Maybe This Information is Beautiful, It's Just Not Accurate<div class="separator" style="clear: both; text-align: center;">
<a href="https://3.bp.blogspot.com/-OfYf7PTsZnI/V9LewV4ajkI/AAAAAAAADWU/CDasxylZJYQmg76779Fg8lqGDpR4Ra2hwCLcB/s1600/kindle-FINAL-children.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://3.bp.blogspot.com/-OfYf7PTsZnI/V9LewV4ajkI/AAAAAAAADWU/CDasxylZJYQmg76779Fg8lqGDpR4Ra2hwCLcB/s400/kindle-FINAL-children.png" width="340" /></a></div>
This is an image from the e-book <a href="http://www.informationisbeautiful.net/2016/information-is-beautiful-7th-anniversary-micro-retro-edition/">Information is Beautiful</a> from the site of the same name. But they've made the same mistake that has long served to help people learn <a href="https://www.amazon.com/How-Lie-Statistics-Darrell-Huff/dp/0393310728/ref=mt_paperback?_encoding=UTF8&me=">How to Lie with Statistics</a> by Darrell Huff. The graphic below, from Huff's book, shows the comparison of bags of money representing an average weekly wages from two countries. The one on the right earning twice as much as the one on the left. Showing how to lie, the bags are drawn so that the on the right is twice as tall as the one on the left, but this doesn't give us the correct visual image, since the graphic artist has doubled both the height and the width to produce the image on the right. The resulting visual impression is that the bag on the right is four times the one on the right. A perfect image to mislead.<br />
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<a href="https://2.bp.blogspot.com/-TQeYd5oqPtk/V9XMqyz21QI/AAAAAAAADW0/SDAzt4Zm_C0mOw6bN61nsMyrLNk-8jSzACLcB/s1600/HowToLIeGraph.jpeg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://2.bp.blogspot.com/-TQeYd5oqPtk/V9XMqyz21QI/AAAAAAAADW0/SDAzt4Zm_C0mOw6bN61nsMyrLNk-8jSzACLcB/s1600/HowToLIeGraph.jpeg" /></a></div>
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Now the graphic from Information is Beautiful purports to represent the percentage of children in poverty. On the left is shown a small shadow silhouette of a young child with arms raised that represents 2%, the percentage of children in poverty in Denmark. Compare this with the larger silhouette for Germany representing 10%. Even in this flat 2-d outline more than 5 of the Denmark outlines could fit in the Germany outline. The problem, of course, is that a graphic artist has lied again and doubled both the height and width of the silhouettes to represent these numbers. This distorts any comparisons that could be made with these data. And it gets worse, since we are to understand these are images of 3-dimensional children!<br />
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I recall decades ago this, now classic graphic, when it appeared in the Washington Post. The same mistake of displaying data using the same error with the same methods (compare the Eisenhower dollar with the Carter dollar). You would think....<br />
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<a href="https://2.bp.blogspot.com/-kUyp0ALoXR0/V9LinoUpdRI/AAAAAAAADWg/fqqtZqRR5-AkE2Tw4kCLLRSkPBvkZpGlgCLcB/s1600/dollar.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://2.bp.blogspot.com/-kUyp0ALoXR0/V9LinoUpdRI/AAAAAAAADWg/fqqtZqRR5-AkE2Tw4kCLLRSkPBvkZpGlgCLcB/s400/dollar.gif" width="279" /></a></div>
<br />Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com2tag:blogger.com,1999:blog-3282646798709482521.post-62419033551016364322016-09-06T12:00:00.000-04:002016-09-06T12:00:15.258-04:00Location is Time or Money<div class="separator" style="clear: both; text-align: center;">
<a href="https://3.bp.blogspot.com/-ohARQXnBZ7s/V84b3Ft6c5I/AAAAAAAADV8/TnFRdg84nes5g-F4GT4ZuMGFy1Xy-ScnACLcB/s1600/bialik-streeteasy-1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://3.bp.blogspot.com/-ohARQXnBZ7s/V84b3Ft6c5I/AAAAAAAADV8/TnFRdg84nes5g-F4GT4ZuMGFy1Xy-ScnACLcB/s400/bialik-streeteasy-1.png" width="382" /></a></div>
Using data from over 175,000 rentals from the real estate listing service <a href="http://streeteasy.com/">StreetEasy</a>, the site <a href="http://fivethirtyeight.com/features/new-yorkers-will-pay-56-a-month-to-trim-a-minute-off-their-commute/">FiveThirtyEight</a> asks the question:<br />
<blockquote class="tr_bq">
How much would you be willing to pay to shave a minute off your commute? For New Yorkers, the answer appears to be around $56 per month. That’s how much more New Yorkers pay in rent, on average, for a one-bedroom apartment that’s a minute closer by subway to Manhattan’s main business districts.</blockquote>
They plot median monthly rental versus commuting time to the 42nd Street and Chambers Street subway stations. They fit, what appear to be non-parametric regressions, curves to four different groups of rentals: studios, and 1- ,2- , and 3-bedroom apartments. As expected, rental prices fall with a longer commute. From the 1-bedroom curve they estimate that, on average, a one minute shorter commute costs around $56 more a month.Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com1tag:blogger.com,1999:blog-3282646798709482521.post-3399769202493789672016-08-29T12:00:00.000-04:002016-08-29T12:00:06.516-04:00Sunday, Sunday<div class="separator" style="clear: both; text-align: center;">
<iframe allowfullscreen="" class="YOUTUBE-iframe-video" data-thumbnail-src="https://i.ytimg.com/vi/Lj4qTEf0AWs/0.jpg" frameborder="0" height="266" src="https://www.youtube.com/embed/Lj4qTEf0AWs?feature=player_embedded" width="320"></iframe></div>
Along with reading the Sunday newspaper, <a href="http://www.cbsnews.com/sunday-morning/">CBS Sunday Morning</a> is a favorite in our household. Click on the video above for a short report on a <a href="http://www.jdpower.com/press-releases/jd-power-2016-streaming-video-satisfaction-study">streaming pay TV customer satisfaction survey conducted by JD Power</a>. The report mentions four categories: "cord cutters", those who have cancelled TV service, "cord nevers", those who have never subscribed to pay TV and only subscribe to a streaming video service, "cord shavers", those who still subscribe but now to a downgraded TV service, and "cord stackers", those who keep pay TV but also use streaming. From the report:<br />
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The inaugural study measures overall satisfaction among customers who
have used a subscription- or transaction-based streaming video service within
the past six months. The study measures customer satisfaction by examining six
key measures (listed in order of importance): performance and reliability;
content; cost of service; ease of use; communication; and customer service.
Scores for each measure are reflected in an index based on a 1,000-point scale.</div>
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The measures for "cutters", "nevers", "shavers", and "stackers" are 802, 807, 822, and 826. Here is a frame from late in the video that reports on the right most bar "stackers" as it relates to the other categories." <br />
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<a href="https://2.bp.blogspot.com/-bTznf_ITCew/V8Mz_zWszSI/AAAAAAAADVI/0oko-UECAKszX1Rufy22FZmsxaEXIMJgACLcB/s1600/stackersTV.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="221" src="https://2.bp.blogspot.com/-bTznf_ITCew/V8Mz_zWszSI/AAAAAAAADVI/0oko-UECAKszX1Rufy22FZmsxaEXIMJgACLcB/s400/stackersTV.jpg" width="400" /></a></div>
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It's clear that that Sunday Morning is in sore need of knowledgeable graphics editors. Perhaps their artists make their charts telegenic by filling them up with what we would call "<a href="https://en.wikipedia.org/wiki/Chartjunk">chart jun</a>k", but in ignoring the proper representation of the data, they are presenting false and misleading images. The numbers are said to be represented here, are again, 802, 807, 822, and 826. The second bar from left almost looks twice as tall as the left-most bar and not a bar that should only be about 0.6% taller. The third bar from the left looks about 3 times taller than the left-most bar and it should only be about 2.5% taller. Finally, the right-most "cord stackers" bar should be under 3% taller, not over 4 times taller! Yes, they give a grid background to judge the sizes, but they are misleading sizes to judge. The 'smiley' satisfaction faces are probably the most reliable description of the data: The satisfaction scores are amazingly the same. From smallest to largest they vary by less than 3%.<br />
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Here are the data shown on the graph and then a more accurate rendering (without the chart junk).<br />
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<a href="https://1.bp.blogspot.com/-A7po6gqfhzM/V8M35UFEJkI/AAAAAAAADVQ/ZIsUcf96L8ECzToFTugIUWqm_hEDkptOACLcB/s1600/satisfactionTV.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="231" src="https://1.bp.blogspot.com/-A7po6gqfhzM/V8M35UFEJkI/AAAAAAAADVQ/ZIsUcf96L8ECzToFTugIUWqm_hEDkptOACLcB/s400/satisfactionTV.jpg" width="400" /></a></div>
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<a href="https://4.bp.blogspot.com/-LFb5zxCcSIM/V8M5MEqJzLI/AAAAAAAADVc/H0m3tXUK93sHjqMqebZFj4Hpc72M70KvwCLcB/s1600/TVbarchart.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://4.bp.blogspot.com/-LFb5zxCcSIM/V8M5MEqJzLI/AAAAAAAADVc/H0m3tXUK93sHjqMqebZFj4Hpc72M70KvwCLcB/s400/TVbarchart.jpg" width="400" /></a></div>
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Not much difference in satisfaction across all type customers.</div>
<br />Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-41732397491583962762016-08-22T12:00:00.000-04:002016-08-22T21:25:36.337-04:00The Wear of Love<div class="separator" style="clear: both; text-align: center;">
<a href="https://4.bp.blogspot.com/-ExGZhCIKmvE/V7og5O95uCI/AAAAAAAADUs/iMSqQVKjA3I9HaFQMUDWw-ZcdTKyS8xNgCLcB/s1600/IMG_4976.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="https://4.bp.blogspot.com/-ExGZhCIKmvE/V7og5O95uCI/AAAAAAAADUs/iMSqQVKjA3I9HaFQMUDWw-ZcdTKyS8xNgCLcB/s320/IMG_4976.JPG" width="320" /></a></div>
As part of the <a href="http://www.vatc.org/home/">Virginia Tourism Corporation</a>'s promotion campaign, this LOVE artwork has been placed in the <a href="http://www.chincoteague.com/webcam3.html">Robert Reed waterfront park</a> in <a href="http://www.chincoteague.com/">Chincoteague</a>, Virginia. It displays four, 10 foot tall Adirondack chairs. The wooden chairs spell out the LOVE with the symbols<span style="background-color: white; color: #222222; font-family: "arial" , sans-serif; font-size: 16px; line-height: 19.2px;"> </span><br />
<span style="background-color: white; color: #222222; font-family: "arial" , sans-serif; font-size: 16px; line-height: 19.2px;">L O </span><span style="background-color: white; color: #222222; font-family: "arial" , sans-serif; font-size: 16px; line-height: 19.2px;">♥</span><span style="background-color: white; color: #222222; font-family: "arial" , sans-serif; font-size: 16px; line-height: 19.2px;"> E.</span><br />
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<a href="https://1.bp.blogspot.com/-pQpnYsHB2ks/V7og7SvFP1I/AAAAAAAADUw/rtK-5L_cPS4bhQ1ulm7RyhGmMLdmAPxqgCLcB/s1600/IMG_4971.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://1.bp.blogspot.com/-pQpnYsHB2ks/V7og7SvFP1I/AAAAAAAADUw/rtK-5L_cPS4bhQ1ulm7RyhGmMLdmAPxqgCLcB/s400/IMG_4971.JPG" width="300" /></a></div>
Of course, when posing for pictures, tourists prefer to sit in the <span style="background-color: white; color: #222222; font-family: "arial" , sans-serif; font-size: 16px; line-height: 19.2px;"> </span><span style="background-color: white; color: #222222; font-family: "arial" , sans-serif; font-size: 16px; line-height: 19.2px;">♥</span><span style="background-color: white; color: #222222; font-family: "arial" , sans-serif; font-size: 16px; line-height: 19.2px;"> </span> chair over the others as evidenced by the greater frequency of wear on the chairs as people climb up and rub off the paint.<br />
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This view looks at the letters in reverse. The nearest chair is E, the next is <span style="background-color: white; color: #222222; font-family: "arial" , sans-serif; font-size: 16px; line-height: 19.2px;"> </span><span style="background-color: white; color: #222222; font-family: "arial" , sans-serif; font-size: 16px; line-height: 19.2px;">♥</span><span style="background-color: white; color: #222222; font-family: "arial" , sans-serif; font-size: 16px; line-height: 19.2px;"> </span> with the most wear, then O and L. Note that the pattern of wear is in a bell-shape, with more wear near the middle of the seat and less towards the edges.Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-73204157460348640332016-08-15T12:00:00.000-04:002016-08-15T12:00:30.176-04:00Alien Corn<div class="separator" style="clear: both; text-align: center;">
<a href="https://1.bp.blogspot.com/-ZYFD-IfZ16U/V65kmLdCRhI/AAAAAAAADUQ/D_srzn1f60gBa0dp2BcmJ8Fbfmbw6cWAACLcB/s1600/IMG_4469.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="340" src="https://1.bp.blogspot.com/-ZYFD-IfZ16U/V65kmLdCRhI/AAAAAAAADUQ/D_srzn1f60gBa0dp2BcmJ8Fbfmbw6cWAACLcB/s400/IMG_4469.JPG" width="400" /></a></div>
<a href="http://statpics.blogspot.com/2014/08/vacation-outlier-sighting.html">Another Eastern Shore vacation</a> <a href="https://en.wikipedia.org/wiki/Outlier">outlier</a> find. This corn stalk, amid the soybeans, is a triple threat outlier: by type, by height, and by location. Enjoy the rest of your summer.Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-11846854662612159142016-08-08T12:00:00.000-04:002016-08-08T12:00:16.176-04:00Skewed Fast Food<div class="separator" style="clear: both; text-align: center;">
<a href="https://1.bp.blogspot.com/-PhACYiOKxPI/V6XzNwnbvLI/AAAAAAAADUA/PjdnoM5fUkEChka4EkGyO6ebTRZN2sfqACLcB/s1600/IMG_4902.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="https://1.bp.blogspot.com/-PhACYiOKxPI/V6XzNwnbvLI/AAAAAAAADUA/PjdnoM5fUkEChka4EkGyO6ebTRZN2sfqACLcB/s400/IMG_4902.JPG" width="400" /></a></div>
This is a view of the side of a small counter at a fast food restaurant in Snow Hill, Maryland. Patrons have slid this chair back and forth to sit at or leave the adjacent table. This chair movement has marred the paneling of the counter into a pattern that is skewed to the right: much more wear on the left with decreasing use and wear as the chair is set closer to the table. Of course, on the right, the chair's wear pattern is truncated since it must stop short of the table. On the left, we've got no wall to reveal the chair's position. The chair's wear is censored. What remains is a right skewed pattern of the frequency of use and wear. The pattern somewhat resembles the pattern of a sample from a right skewed exponential distribution.Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-80173401817272843162016-08-01T12:00:00.000-04:002016-08-01T12:00:01.613-04:00A Distribution on a Cylinder<div class="separator" style="clear: both; text-align: center;">
<a href="https://3.bp.blogspot.com/-Sb3c7Fs2Sfw/V5p3Xo6Nf1I/AAAAAAAADTg/vDF0yvk__pMmEZfA1w1IXWVuIvlmDkGdACLcB/s1600/IMG_4848.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://3.bp.blogspot.com/-Sb3c7Fs2Sfw/V5p3Xo6Nf1I/AAAAAAAADTg/vDF0yvk__pMmEZfA1w1IXWVuIvlmDkGdACLcB/s400/IMG_4848.JPG" width="300" /></a></div>
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Here's a utility pole at a traffic intersection in Aspen Hill, Maryland. The pole has served as display for the many yard sales, community meetings, and businesses that have had their advertising flyers posted on the pole. The flyers have long since been removed. Only their staples and nails remain. These accumulated staples show a
distribution of the heights of flyer postings. </div>
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The close-up view below shows the distribution of individual staples and nails on the cylinder of the pole. The staples are
distributed both around the pole and vertically up and down the pole. Vertically, it's too difficult to put flyers high on the pole and few staples can be found there. Flyers very low on the pole wouldn't be easily seen by those passing by, so few staples are also found there. Most staples and nails are at a comfortable shoulder and viewing height. If we imagine the height of a staple above the ground is our random variable, we find few staples with small height, few with large height, and many more with a medium height. This is a bell-shaped pattern up and down the pole that we have seen often.<o:p></o:p></div>
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Horizontally, the staples are distributed circularly around the pole. They would also have greatest frequency towards the traffic and lesser frequency on the backside of the pole. This is likely also a bell-shaped distribution, <a href="http://statpics.blogspot.com/2012/11/pine-needles-in-circle.html">wrapped around a circle</a>. We have seen such a distribution before connected with the <a href="http://statpics.blogspot.com/2008/08/model-of-characteristic-function.html">characteristic function of a random variable.</a> We've also seen a <a href="http://statpics.blogspot.com/2008/07/colorful-normal-distribution.html">distribution on a pole at the Rodin museum in Paris</a>.</div>
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<a href="https://2.bp.blogspot.com/-7y7RojS81tI/V5p3dAr2jlI/AAAAAAAADTk/rgS_uit1IcMz_953y9wjVJeDbHo7_8M-wCLcB/s1600/IMG_4455.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" height="640" src="https://2.bp.blogspot.com/-7y7RojS81tI/V5p3dAr2jlI/AAAAAAAADTk/rgS_uit1IcMz_953y9wjVJeDbHo7_8M-wCLcB/s640/IMG_4455.PNG" width="360" /></a></div>
<br />Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com2tag:blogger.com,1999:blog-3282646798709482521.post-82098339873066348092016-07-25T12:00:00.000-04:002016-07-25T12:00:10.717-04:00Salary Dots<div class="separator" style="clear: both; text-align: center;">
<a href="https://1.bp.blogspot.com/-Kd0ALIigor0/V5V1sZzDlNI/AAAAAAAADTA/T5rawA2LOF0zcJRSOdAreZnxw2aKdZGZACLcB/s1600/Salaries.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="365" src="https://1.bp.blogspot.com/-Kd0ALIigor0/V5V1sZzDlNI/AAAAAAAADTA/T5rawA2LOF0zcJRSOdAreZnxw2aKdZGZACLcB/s400/Salaries.png" width="400" /></a></div>
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From <a href="http://flowingdata.com/2016/06/28/distributions-of-annual-income/">Flowing Data</a>, an interactive dotplot showing the distribution of annual salaries in various fields. Selections can be made for the 1960s (above), the 1980s, 2000s, and 2014. As a time range is selected, the dots representing the annual salaries of 50 randomly selected people, dynamically redistributed themselves to reflect the times salary frequency distribution. Compare the dramatic change in spread from 1960s above to the 2000s below.<br />
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<a href="https://2.bp.blogspot.com/-gCQSSFCH388/V5V3ax1k_RI/AAAAAAAADTM/i6llyIggMlAr3ONyFxhGDKmAO6C-sy-5wCLcB/s1600/Salaries2000.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="350" src="https://2.bp.blogspot.com/-gCQSSFCH388/V5V3ax1k_RI/AAAAAAAADTM/i6llyIggMlAr3ONyFxhGDKmAO6C-sy-5wCLcB/s400/Salaries2000.png" width="400" /></a></div>
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<br />Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com1tag:blogger.com,1999:blog-3282646798709482521.post-43831802116916280402016-07-18T12:00:00.000-04:002016-07-18T12:00:21.446-04:00YADDA Boston<div class="separator" style="clear: both; text-align: center;">
<a href="https://3.bp.blogspot.com/-S00vg40xKSM/V4e9xfGgQhI/AAAAAAAADSo/6GfpgrTZZ8c6VLu2n_HWg2R4wUtL1nHEQCLcB/s1600/IMG_4421.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://3.bp.blogspot.com/-S00vg40xKSM/V4e9xfGgQhI/AAAAAAAADSo/6GfpgrTZZ8c6VLu2n_HWg2R4wUtL1nHEQCLcB/s320/IMG_4421.JPG" width="240" /></a></div>
Yet Another Door Distribution Again, this time at the <a href="http://www.summershackrestaurant.com/locations/boston/">Summer Shack Restaurant in Boston</a>. Not many patrons grab the door near the handle, not many reach it much higher. Most grab the door, and wear away its paint, at a comfortable, likely shoulder height. A bell-shaped frequency distribution results. Thanks Laura.Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-68515477768979254432016-07-11T12:00:00.000-04:002016-07-11T12:00:30.305-04:00All Blood Runs Red<div class="separator" style="clear: both; text-align: center;">
<a href="https://4.bp.blogspot.com/-eMRs71DDCoM/V4JvxnnDuQI/AAAAAAAADSI/DBMwNrCLUsslIXbu95zqq-8cQi6qKo3ggCLcB/s1600/AllBloodRunsRed.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="276" src="https://4.bp.blogspot.com/-eMRs71DDCoM/V4JvxnnDuQI/AAAAAAAADSI/DBMwNrCLUsslIXbu95zqq-8cQi6qKo3ggCLcB/s400/AllBloodRunsRed.jpg" width="400" /></a></div>
Cartoon by <a href="http://halltoons.com/wordpress1/">Ed Hall</a> published in the <a href="https://www.washingtonpost.com/opinions/?nid=menu_nav_opinions">Washington Post</a>, Saturday, July 9, 2016 (color added).Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-32723388229269439612016-07-04T12:00:00.000-04:002016-07-04T12:00:37.535-04:00The Fourth of July<div class="separator" style="clear: both; text-align: center;">
<a href="https://4.bp.blogspot.com/-SBGWmhAm5N0/V3RnkdbA75I/AAAAAAAADQo/mN6Kr6K8EAINqHl50vunaJgOWow2i4WuQCLcB/s1600/Born_On_The_4th_Of_July.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://4.bp.blogspot.com/-SBGWmhAm5N0/V3RnkdbA75I/AAAAAAAADQo/mN6Kr6K8EAINqHl50vunaJgOWow2i4WuQCLcB/s400/Born_On_The_4th_Of_July.jpg" width="256" /></a></div>
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<a href="https://en.wikipedia.org/wiki/Oliver_Stone">Oliver Stone's</a> 1989 film <a href="https://en.wikipedia.org/wiki/Born_on_the_Fourth_of_July_(film)">Born on the Fourth of July</a> tells the story of <a href="https://en.wikipedia.org/wiki/Ron_Kovic">Ron Kovic</a>, US Marine and anti-war activist. Kovic was portrayed by <a href="https://en.wikipedia.org/wiki/Tom_Cruise">Tom Cruise</a>, as advertised in the film's poster above. The poster's dominate color is black with, as expected, red, white, and blue, but also oranges and yellows in the face tones. Photoshop reveals the poster's colors in the swatches below.<br />
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<a href="https://1.bp.blogspot.com/-P8vClstYeXY/V3Ryv1sxpAI/AAAAAAAADQ4/coEld5MN-WMIK5073zknWUMhuzeu_MYiwCLcB/s1600/poster4thcolors.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://1.bp.blogspot.com/-P8vClstYeXY/V3Ryv1sxpAI/AAAAAAAADQ4/coEld5MN-WMIK5073zknWUMhuzeu_MYiwCLcB/s320/poster4thcolors.png" width="174" /></a></div>
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<a href="http://www.vijayp.ca/blog/blog/">Vijay Pandurangan</a> has considered these colors along with those of many other films. Below are his <a href="http://www.vijayp.ca/movies/index.html#1989">findings for the year 1989</a>:</div>
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<a href="https://4.bp.blogspot.com/-qqVWJOpjgBo/V3R0tJl5oTI/AAAAAAAADRE/4Er8KatsPycuG1wvJopATUSuDtzv4gnGwCLcB/s1600/poster4thcolors1989.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="356" src="https://4.bp.blogspot.com/-qqVWJOpjgBo/V3R0tJl5oTI/AAAAAAAADRE/4Er8KatsPycuG1wvJopATUSuDtzv4gnGwCLcB/s400/poster4thcolors1989.png" width="400" /></a></div>
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But he has done more. He has looked at the colors in movie posters from 1914 to 2012 and produced an <a href="http://www.vijayp.ca/movies/new_page.html">interactive image</a> where you can select any year within this range and see the pie chart of movie posters from that year. Here is a still image of his <a href="http://www.vijayp.ca/movies/new_page.html">interactive one</a>.</div>
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<a href="https://2.bp.blogspot.com/-KD8HMocWtSk/V3R5M1v-0zI/AAAAAAAADRc/H4CRdxZHqs8bnl27Mgdp3W4B6rcSjNzKACLcB/s1600/postercolors.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://2.bp.blogspot.com/-KD8HMocWtSk/V3R5M1v-0zI/AAAAAAAADRc/H4CRdxZHqs8bnl27Mgdp3W4B6rcSjNzKACLcB/s400/postercolors.png" width="396" /></a></div>
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He also produces an interactive image (still image below) with lightness and saturation ignored.</div>
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Movie posters seem to have gotten bluer over time. We've seen <a href="http://statpics.blogspot.com/2007/07/what-color-is-pg-13.html">movie poster colors here before</a>. Thanks for the link Nick.</div>
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<br />Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-8395470046010217322016-06-27T12:00:00.000-04:002016-06-27T12:00:09.245-04:00Curry Free Throws vs Suspected Terrorist Gun Buys<div class="separator" style="clear: both; text-align: center;">
<a href="https://4.bp.blogspot.com/-ejHqJDNnsqk/V28472G4MbI/AAAAAAAADQI/VIayobyTLHkUFMS33Etk0K-EcBT6OmuwQCLcB/s1600/curryfreethrows.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="304" src="https://4.bp.blogspot.com/-ejHqJDNnsqk/V28472G4MbI/AAAAAAAADQI/VIayobyTLHkUFMS33Etk0K-EcBT6OmuwQCLcB/s320/curryfreethrows.png" width="320" /></a></div>
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A comparison by <a href="http://www.vox.com/authors/zachary-crockett">Zachary Crockett</a> from <a href="http://www.vox.com/2016/6/17/11951916/steph-curry-nba-finals-gun-violence">Vox</a>: a suspected terrorist can buy a gun more easily than <a href="https://en.wikipedia.org/wiki/Stephen_Curry">Steph Curry</a> can make a free throw. Via <a href="https://www.visualnews.com/2016/06/24/too-easy-to-buy-guns/">Visual News</a>.</div>
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<br />Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-81455849578327221672016-06-20T12:00:00.000-04:002016-06-20T12:00:01.988-04:00Remembering Orlando<div class="separator" style="clear: both; text-align: center;">
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Orlando is reeling. Here it is in more tranquil times: Lake Eola Park downtown, the site of many vigils this past week.<br />
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<a href="http://www.vox.com/2016/6/15/11934794/cartoon-predicting-a-mass-shooting-mathematically-impossible">Brian Resnick and Javier Zarracina</a> from <a href="http://www.vox.com/">Vox</a> have a cartoon explaining mathematically that predicting a mass shooting, like Pulse, is beyond our abilities. They consider a prediction that is 99% accurate in detecting a lone mass shooter. That shooter, hiding within a group of 1000 people, could be labeled by such a prediction, but that same prediction could label another 9 law abiding folks as potential threats.<br />
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If such a prediction scheme was used for the the 323 million people of the US, we could have a false positive group of over 3.2 million!</div>
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Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-76143349285494766242016-06-13T12:00:00.000-04:002016-06-13T12:00:10.991-04:00Timely Stats<div class="separator" style="clear: both; text-align: center;">
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From an analysis by <a href="https://rainn.org/news/97-every-100-rapists-receive-no-punishment-rainn-analysis-shows">RAINN the Rape, Abuse, & Incest National Network</a>.</div>
Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0tag:blogger.com,1999:blog-3282646798709482521.post-21715333530399779262016-06-06T12:00:00.000-04:002016-06-06T12:00:01.938-04:00On The Road ... Map<div class="separator" style="clear: both; text-align: center;">
<a href="https://3.bp.blogspot.com/-6Td0AezhJyU/V1MzrbZqRqI/AAAAAAAADOo/xsr2JdRyOxc2F9vGbYqIUHaETPKS-U9XACLcB/s1600/IMG_4368.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://3.bp.blogspot.com/-6Td0AezhJyU/V1MzrbZqRqI/AAAAAAAADOo/xsr2JdRyOxc2F9vGbYqIUHaETPKS-U9XACLcB/s400/IMG_4368.JPG" width="300" /></a></div>
On a trip to visit family, we stopped at a gas station in <a href="https://en.wikipedia.org/wiki/Hammondville,_Alabama">Hammondville, Alabama</a>. On the wall was a map of the US with this wear pattern of customers touching where they were on the map. The many touchers have worn though the paper map down to the underlying supporting board. It seems that many have traced their path of travel extending southwest to Birmingham, AL and northwest to Chattanooga, TN likely along the connecting route US 11, passing through Hammondville, or along the parallel interstate 59 a bit further west. What remains is a roughly ellipsoidal bivariate frequency distribution of wear with a greater frequency of wear centered on Hammondville and lesser frequencies of wear in ellipsoidal contours around it. Robert W. Jerniganhttp://www.blogger.com/profile/11466738938475510522noreply@blogger.com0