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	<title>Concentration Index &#8211; FootballPerspective.com</title>
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		<title>NFL Passing Offenses Have Gotten Less Concentrated</title>
		<link>http://www.footballperspective.com/nfl-passing-offenses-have-gotten-less-concentrated/</link>
					<comments>http://www.footballperspective.com/nfl-passing-offenses-have-gotten-less-concentrated/#respond</comments>
		
		<dc:creator><![CDATA[Chase Stuart]]></dc:creator>
		<pubDate>Mon, 15 Jun 2020 16:49:16 +0000</pubDate>
				<category><![CDATA[Receiving]]></category>
		<category><![CDATA[Concentration Index]]></category>
		<guid isPermaLink="false">http://www.footballperspective.com/?p=46854</guid>

					<description><![CDATA[A few months ago, I calculated the concentration index for each passing offense in the NFL.  For new readers, don&#8217;t be scared: a passing offense&#8217;s Concentration Index is simple to calculate, and it measures how concentrated a team’s passing offense is among a small or large number of players.  To calculate, you take each player’s [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>A few months ago, I calculated the <a href="http://www.footballperspective.com/2019-concentration-index-which-offenses-spread-it-around-the-most/" target="_blank" rel="noopener noreferrer">concentration index</a> for each passing offense in the NFL.  For new readers, don&#8217;t be scared: a passing offense&#8217;s Concentration Index is simple to calculate, and it measures how <strong>concentrated</strong> a team’s passing offense is among a small or large number of players.  To calculate, you take each player’s receiving yards and divide that by his team’s total receiving yards.  Once you get that number, you square it, and then do that for each player on the offense and add the totals.  The most concentrated passing offense in 2019 was in New Orleans. For the Saints, <a href="https://www.pro-football-reference.com/players/T/ThomMi05.htm" target="_blank" rel="noopener noreferrer">Michael Thomas</a> gained 38.9%; the square of that is 15.2%.  <a href="https://www.pro-football-reference.com/players/C/CookJa02.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">Jared Cook</a> was second on the team with 705 yards, or 15.9% of the team’s receiving yards; the square of that number is 2.5%.  Do this for every player, and the Saints have a total Concentration Index of 21.1%… which is highly concentrated, at least by 2019 standards.  Here is the full table:<span id="more-46854"></span></p>
<p><a href="http://www.footballperspective.com/wp-content/uploads/2020/02/saints-wr.png"><img fetchpriority="high" decoding="async" class="aligncenter size-large wp-image-45846" src="http://www.footballperspective.com/wp-content/uploads/2020/02/saints-wr-1024x749.png" alt="" width="717" height="599" /></a>The least-concentrated aerial attack in 2019 was the Colts, and you can see that breakdown <a href="http://www.footballperspective.com/2019-concentration-index-which-offenses-spread-it-around-the-most/" target="_blank" rel="noopener noreferrer">here</a>.  On average, the 32 teams had a concentration index of 15.3%, or 0.153.  In the abstract, that doesn&#8217;t mean much, but what if we calculate the average concentration index for the NFL (and AFL) for each season since 1950?</p>
<p><a href="http://www.footballperspective.com/wp-content/uploads/2020/06/concentration-index-1950-afl-nfl.png"><img decoding="async" class="aligncenter size-large wp-image-46855" src="http://www.footballperspective.com/wp-content/uploads/2020/06/concentration-index-1950-afl-nfl-1024x577.png" alt="" width="1024" height="577" srcset="http://www.footballperspective.com/wp-content/uploads/2020/06/concentration-index-1950-afl-nfl-1024x577.png 1024w, http://www.footballperspective.com/wp-content/uploads/2020/06/concentration-index-1950-afl-nfl-300x169.png 300w, http://www.footballperspective.com/wp-content/uploads/2020/06/concentration-index-1950-afl-nfl-768x433.png 768w, http://www.footballperspective.com/wp-content/uploads/2020/06/concentration-index-1950-afl-nfl-1536x866.png 1536w, http://www.footballperspective.com/wp-content/uploads/2020/06/concentration-index-1950-afl-nfl-2048x1155.png 2048w" sizes="(max-width: 1024px) 100vw, 1024px" /></a>The two lowest seasons were 2018 (14.8%) and 2017 (14.9%), with 2019 and 1983 right behind those years. <span class="footnote_referrer"><a role="button" tabindex="0" onclick="footnote_moveToReference_46854_2('footnote_plugin_reference_46854_2_1');" onkeypress="footnote_moveToReference_46854_2('footnote_plugin_reference_46854_2_1');" ><sup id="footnote_plugin_tooltip_46854_2_1" class="footnote_plugin_tooltip_text">[1]</sup></a><span id="footnote_plugin_tooltip_text_46854_2_1" class="footnote_tooltip">Note that I excluded the 1987 season, which featured replacement players and therefore skewed the results; technically, the CC Index for the NFL that season was 12.9%.</span></span><script type="text/javascript"> jQuery('#footnote_plugin_tooltip_46854_2_1').tooltip({ tip: '#footnote_plugin_tooltip_text_46854_2_1', tipClass: 'footnote_tooltip', effect: 'fade', predelay: 0, fadeInSpeed: 200, delay: 400, fadeOutSpeed: 200, position: 'top center', relative: true, offset: [-7, 0], });</script>  This means that teams are spreading the ball around much more than they used to, which is a noteworthy if unsurprising result.</p>
<p>It also explains why passing numbers have exploded but receiving numbers have not quite kept up in recent years.  I looked at the top 10 leaders in receiving yards in each NFL season since 1950, and plotted that average in blue in the graph below against the Left Y-Axis.  I also calculated the average gross passing yards for the top 10 passing offenses in each NFL season, and plotted that in red against the Right Y-Axis.  While there is normally a close correlation, you can see that in recent years, the blue line is below the red one.  Meanwhile, in 1995, the top receivers had astronomical seasons, while gross passing numbers were not out of line with historical numbers.<a href="http://www.footballperspective.com/wp-content/uploads/2020/06/top-10-rec-pass.png"><img decoding="async" class="aligncenter size-large wp-image-46862" src="http://www.footballperspective.com/wp-content/uploads/2020/06/top-10-rec-pass-1024x540.png" alt="" width="1024" height="540" srcset="http://www.footballperspective.com/wp-content/uploads/2020/06/top-10-rec-pass-1024x540.png 1024w, http://www.footballperspective.com/wp-content/uploads/2020/06/top-10-rec-pass-300x158.png 300w, http://www.footballperspective.com/wp-content/uploads/2020/06/top-10-rec-pass-768x405.png 768w, http://www.footballperspective.com/wp-content/uploads/2020/06/top-10-rec-pass-1536x810.png 1536w, http://www.footballperspective.com/wp-content/uploads/2020/06/top-10-rec-pass-2048x1080.png 2048w" sizes="(max-width: 1024px) 100vw, 1024px" /></a>What stands out to you?  Please leave your thoughts and follow-up requests in the comments below.</p>
<div class="speaker-mute footnotes_reference_container"> <div class="footnote_container_prepare"><p><span role="button" tabindex="0" class="footnote_reference_container_label pointer" onclick="footnote_expand_collapse_reference_container_46854_2();">References</span><span role="button" tabindex="0" class="footnote_reference_container_collapse_button" style="display: none;" onclick="footnote_expand_collapse_reference_container_46854_2();">[<a id="footnote_reference_container_collapse_button_46854_2">+</a>]</span></p></div> <div id="footnote_references_container_46854_2" style=""><table class="footnotes_table footnote-reference-container"><caption class="accessibility">References</caption> <tbody> 

<tr class="footnotes_plugin_reference_row"> <th scope="row" class="footnote_plugin_index_combi pointer"  onclick="footnote_moveToAnchor_46854_2('footnote_plugin_tooltip_46854_2_1');"><a id="footnote_plugin_reference_46854_2_1" class="footnote_backlink"><span class="footnote_index_arrow">&#8593;</span>1</a></th> <td class="footnote_plugin_text">Note that I excluded the 1987 season, which featured replacement players and therefore skewed the results; technically, the CC Index for the NFL that season was 12.9%.</td></tr>

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			</item>
		<item>
		<title>2019 Concentration Index: Which Offenses Spread It Around The Most?</title>
		<link>http://www.footballperspective.com/2019-concentration-index-which-offenses-spread-it-around-the-most/</link>
					<comments>http://www.footballperspective.com/2019-concentration-index-which-offenses-spread-it-around-the-most/#respond</comments>
		
		<dc:creator><![CDATA[Chase Stuart]]></dc:creator>
		<pubDate>Tue, 25 Feb 2020 12:00:06 +0000</pubDate>
				<category><![CDATA[Statistics]]></category>
		<category><![CDATA[Concentration Index]]></category>
		<guid isPermaLink="false">http://www.footballperspective.com/?p=45615</guid>

					<description><![CDATA[Saints WR Michael Thomas had another dominant season in 2019.  He easily led the NFL in receiving yards with 1,725, and he also was responsible for 38.9% of all Saints receiving yards.  That was the largest percentage of a team&#8217;s receiving pie for any one player in 2019, followed by Bronco Courtland Sutton in a [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>Saints WR <a href="https://www.pro-football-reference.com/players/T/ThomMi05.htm" target="_blank" rel="noopener noreferrer">Michael Thomas</a> had another dominant season in 2019.  He easily led the NFL in receiving yards with 1,725, and he also was responsible for 38.9% of all Saints receiving yards.  That was the largest percentage of a team&#8217;s receiving pie for any one player in 2019, followed by Bronco <a href="https://www.pro-football-reference.com/players/S/SuttCo00.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">Courtland Sutton</a> in a distant second place (32.7%), and Bears WR <a href="https://www.pro-football-reference.com/players/R/RobiAl02.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">Allen Robinson</a> (32.1%); only three other players (Buffalo&#8217;s <a href="https://www.pro-football-reference.com/players/B/BrowJo02.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">John Brown</a>, Cleveland&#8217;s <a href="https://www.pro-football-reference.com/players/L/LandJa00.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">Jarvis Landry</a>, and Minnesota&#8217;s <a href="https://www.pro-football-reference.com/players/D/DiggSt00.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">Stefon Diggs</a>) topped 30%.</p>
<p>Regular readers know that I like to calculate something called the <a href="http://www.footballperspective.com/2019-concentration-index-which-offenses-are-spreading-it-around/" target="_blank" rel="noopener noreferrer">Concentration Index</a> for passing offenses: it&#8217;s relatively simple to calculate, and it measures how concentrated a team&#8217;s passing offense is among a small or large number of players.  To calculate, you simple take each player&#8217;s receiving yards, divide that by his team&#8217;s total receiving yards, square that result, and then add that number for each player on the offense.  For the Saints, Thomas is at 38.9%; the square of that is 15.2%, so that&#8217;s the number we use.  <a href="https://www.pro-football-reference.com/players/C/CookJa02.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">Jared Cook</a> was second on the team with 705 yards, or 15.9% of the team&#8217;s receiving yards; the square of that number is 2.5%.  Do this for every player, and the Saints have a total Concentration Index of 21.1%&#8230; which is highly concentrated.<span id="more-45615"></span></p>
<a href="http://www.footballperspective.com/wp-content/uploads/2020/02/saints-wr.png"><img decoding="async" class="aligncenter size-large wp-image-45846" src="http://www.footballperspective.com/wp-content/uploads/2020/02/saints-wr-1024x749.png" alt="" width="614.4" height="449.4" srcset="http://www.footballperspective.com/wp-content/uploads/2020/02/saints-wr-1024x749.png 1024w, http://www.footballperspective.com/wp-content/uploads/2020/02/saints-wr-300x220.png 300w, http://www.footballperspective.com/wp-content/uploads/2020/02/saints-wr-768x562.png 768w, http://www.footballperspective.com/wp-content/uploads/2020/02/saints-wr-1536x1124.png 1536w, http://www.footballperspective.com/wp-content/uploads/2020/02/saints-wr-2048x1499.png 2048w" sizes="(max-width: 1024px) 100vw, 1024px" /></a>
<p>Indianapolis was the team with the <em>least</em> concentrated offense in the league.  <a href="https://www.pro-football-reference.com/players/P/PascZa00.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">Zach Pascal</a> went undrafted in 2017, but somehow wound up leading <a href="https://www.pro-football-reference.com/players/B/BrisJa00.htm" target="_blank" rel="noopener noreferrer">Jacoby Brissett&#8217;s</a> Colts in receiving yards in 2019.  He had 18.3% of the team&#8217;s receiving yards, followed closely by <a href="https://www.pro-football-reference.com/players/H/HiltT.00.htm" target="_blank" rel="noopener noreferrer">T.Y. Hilton</a> at 15.1% (in 10 games), <a href="https://www.pro-football-reference.com/players/D/DoylJa00.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">Jack Doyle</a> at 13.5%, and <a href="https://www.pro-football-reference.com/players/E/EbroEr00.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">Eric Ebron</a> at 11.3% (in 11 games).  Even RB <a href="https://www.pro-football-reference.com/players/H/HineNy00.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">Nyheim Hines</a> hit nearly 10%.  This is why the Colts passing offense was the least concentrated in the NFL, at just 11.1% total.</p>
<a href="http://www.footballperspective.com/wp-content/uploads/2020/02/colts-rec.png"><img decoding="async" class="aligncenter size-large wp-image-45847" src="http://www.footballperspective.com/wp-content/uploads/2020/02/colts-rec-1024x832.png" alt="" width="614.4" height="499.2" srcset="http://www.footballperspective.com/wp-content/uploads/2020/02/colts-rec-1024x832.png 1024w, http://www.footballperspective.com/wp-content/uploads/2020/02/colts-rec-300x244.png 300w, http://www.footballperspective.com/wp-content/uploads/2020/02/colts-rec-768x624.png 768w, http://www.footballperspective.com/wp-content/uploads/2020/02/colts-rec-1536x1248.png 1536w, http://www.footballperspective.com/wp-content/uploads/2020/02/colts-rec-2048x1665.png 2048w" sizes="(max-width: 1024px) 100vw, 1024px" /></a>
<p>Here is where each offense ranked in this metric in 2019:</p>
<div align="center">
<table id="tablepress-3517" class="tablepress tablepress-id-3517">
<thead>
<tr class="row-1">
	<th class="column-1">Rk</th><th class="column-2">Team</th><th class="column-3">Team Rec Yards</th><th class="column-4">CC Index</th>
</tr>
</thead>
<tbody class="row-striping row-hover">
<tr class="row-2">
	<td class="column-1">1</td><td class="column-2">Saints</td><td class="column-3">4431</td><td class="column-4">21.1%</td>
</tr>
<tr class="row-3">
	<td class="column-1">2</td><td class="column-2">Panthers</td><td class="column-3">4134</td><td class="column-4">19.1%</td>
</tr>
<tr class="row-4">
	<td class="column-1">3</td><td class="column-2">Browns</td><td class="column-3">3852</td><td class="column-4">18.6%</td>
</tr>
<tr class="row-5">
	<td class="column-1">4</td><td class="column-2">Chargers</td><td class="column-3">4648</td><td class="column-4">18.4%</td>
</tr>
<tr class="row-6">
	<td class="column-1">5</td><td class="column-2">Rams</td><td class="column-3">4669</td><td class="column-4">17.6%</td>
</tr>
<tr class="row-7">
	<td class="column-1">6</td><td class="column-2">Bears</td><td class="column-3">3573</td><td class="column-4">17.2%</td>
</tr>
<tr class="row-8">
	<td class="column-1">7</td><td class="column-2">Bills</td><td class="column-3">3476</td><td class="column-4">17.1%</td>
</tr>
<tr class="row-9">
	<td class="column-1">8</td><td class="column-2">Broncos</td><td class="column-3">3401</td><td class="column-4">16.9%</td>
</tr>
<tr class="row-10">
	<td class="column-1">9</td><td class="column-2">Cowboys</td><td class="column-3">4902</td><td class="column-4">16.5%</td>
</tr>
<tr class="row-11">
	<td class="column-1">10</td><td class="column-2">Lions</td><td class="column-3">4189</td><td class="column-4">16.1%</td>
</tr>
<tr class="row-12">
	<td class="column-1">11</td><td class="column-2">Texans</td><td class="column-3">4083</td><td class="column-4">16%</td>
</tr>
<tr class="row-13">
	<td class="column-1">12</td><td class="column-2">Jets</td><td class="column-3">3447</td><td class="column-4">15.9%</td>
</tr>
<tr class="row-14">
	<td class="column-1">13</td><td class="column-2">Jaguars</td><td class="column-3">4023</td><td class="column-4">15.6%</td>
</tr>
<tr class="row-15">
	<td class="column-1">14</td><td class="column-2">Buccaneers</td><td class="column-3">5127</td><td class="column-4">15.6%</td>
</tr>
<tr class="row-16">
	<td class="column-1">15</td><td class="column-2">Vikings</td><td class="column-3">3733</td><td class="column-4">15.2%</td>
</tr>
<tr class="row-17">
	<td class="column-1">16</td><td class="column-2">Falcons</td><td class="column-3">5052</td><td class="column-4">15.2%</td>
</tr>
<tr class="row-18">
	<td class="column-1">17</td><td class="column-2">Chiefs</td><td class="column-3">4690</td><td class="column-4">15.2%</td>
</tr>
<tr class="row-19">
	<td class="column-1">18</td><td class="column-2">Steelers</td><td class="column-3">3214</td><td class="column-4">15.2%</td>
</tr>
<tr class="row-20">
	<td class="column-1">19</td><td class="column-2">Bengals</td><td class="column-3">3998</td><td class="column-4">14.7%</td>
</tr>
<tr class="row-21">
	<td class="column-1">20</td><td class="column-2">49ers</td><td class="column-3">4029</td><td class="column-4">14.5%</td>
</tr>
<tr class="row-22">
	<td class="column-1">21</td><td class="column-2">Seahawks</td><td class="column-3">4110</td><td class="column-4">14.4%</td>
</tr>
<tr class="row-23">
	<td class="column-1">22</td><td class="column-2">Raiders</td><td class="column-3">4110</td><td class="column-4">14.4%</td>
</tr>
<tr class="row-24">
	<td class="column-1">23</td><td class="column-2">Dolphins</td><td class="column-3">4117</td><td class="column-4">14.3%</td>
</tr>
<tr class="row-25">
	<td class="column-1">24</td><td class="column-2">Ravens</td><td class="column-3">3350</td><td class="column-4">14.2%</td>
</tr>
<tr class="row-26">
	<td class="column-1">25</td><td class="column-2">Redskins</td><td class="column-3">3205</td><td class="column-4">13.9%</td>
</tr>
<tr class="row-27">
	<td class="column-1">26</td><td class="column-2">Titans</td><td class="column-3">3956</td><td class="column-4">13.4%</td>
</tr>
<tr class="row-28">
	<td class="column-1">27</td><td class="column-2">Patriots</td><td class="column-3">4153</td><td class="column-4">13.1%</td>
</tr>
<tr class="row-29">
	<td class="column-1">28</td><td class="column-2">Packers</td><td class="column-3">4017</td><td class="column-4">12.9%</td>
</tr>
<tr class="row-30">
	<td class="column-1">29</td><td class="column-2">Eagles</td><td class="column-3">4063</td><td class="column-4">12.3%</td>
</tr>
<tr class="row-31">
	<td class="column-1">30</td><td class="column-2">Giants</td><td class="column-3">4070</td><td class="column-4">12%</td>
</tr>
<tr class="row-32">
	<td class="column-1">31</td><td class="column-2">Cardinals</td><td class="column-3">3797</td><td class="column-4">11.8%</td>
</tr>
<tr class="row-33">
	<td class="column-1">32</td><td class="column-2">Colts</td><td class="column-3">3314</td><td class="column-4">11.1%</td>
</tr>
</tbody>
</table>
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<p>For Brissett, the 2019 season was underwhelming: he started the year hot, but declined in particular once Wayne was out. That said, he had a low sack rate and a low interception rate and led a run-heavy offense: the set of targets was underwhelming, and perhaps this study helps deflect some of the criticism for his performance.</p>
<p>In Arizona, rookie <a href="https://www.pro-football-reference.com/players/M/MurrKy00.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">Kyler Murray</a> made do without relying too much on any one player: <a href="https://www.pro-football-reference.com/players/F/FitzLa00.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">Larry Fitzgerald</a> had &#8220;only&#8221; 21.8% of Arizona&#8217;s receiving yards, and <a href="https://www.pro-football-reference.com/players/K/KirkCh01.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">Christian Kirk</a> was second with 18.7%; nobody else was above 10%. The Giants, a year after trading <a href="https://www.pro-football-reference.com/players/B/BeckOd00.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">Odell Beckham Jr.</a>, saw <a href="https://www.pro-football-reference.com/players/S/SlayDa01.htm?utm_campaign=Linker&amp;utm_source=direct&amp;utm_medium=linker-" target="_blank" rel="nofollow noopener noreferrer">Darius Slayton</a> lead the team in receiving yards. But his 18.2% share of New York&#8217;s receiving pie was the lowest of any leading receiver in the league.</p>
<p>What stands out to you?</p>
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