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	<title>Comments on: Calculating Wins Above Replacement</title>
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	<link>http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/</link>
	<description>Seattle Mariners and general baseball discussion with David Cameron and Derek Zumsteg</description>
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		<title>By: tangotiger</title>
		<link>http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/comment-page-2/#comment-251472</link>
		<dc:creator>tangotiger</dc:creator>
		<pubDate>Fri, 08 Feb 2008 00:21:50 +0000</pubDate>
		<guid isPermaLink="false">http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/#comment-251472</guid>
		<description>The hard part of replacement level is deciding what that level is.

The easy part of average is that we know exactly what that level is: 4.8 runs per game in the recent past.

As I said, you can stick with average and ignore replacement completely.  Consider that the average payroll is 90MM of which around 12MM is required minimum payroll, leaving you with 78MM to play with for an average team (.500).  Presuming you allocate around 57% of your payroll to nonpitchers, that gives them 45MM to allocate for 9 full-time nonpitchers.

That means the average player will get 5MM per 162 games played.  Presume for the moment that each win (free agent, arbitration, pre-arb, on average) is worth $2.2MM per win.  (Plus of course every player gets his 400K minimum.)

So, this is what you get for a guy who plays 162 games:
$7.6MM +1 win above average (WAA)
$5.4MM +0 WAA
$3.2MM -1 WAA
$1.0MM -2 WAA
$0.4MM -2.27 WAA

And if he plays 81 games:
$5.1MM +1 win above average per 81 games (WAA)
$2.9MM +0 WAA
$0.7MM -1 WAA
$0.4MM -1.135 WAA

So, roughly speaking, a guy who is an average player for 162 games is equal to a guy who is +1 wins above average over 81 games.  How do you equate those two with 1 number, rather than necessitating carrying two numbers (his WAA, and his games played)?

Well, if you add .014 wins per game to each player, this is what you get:
First player: 0 wins above average + .014 * 162 = 2.27 wins
Second player: 1 wins above average + .014 * 81 = 2.13

As you can see, both roughly equal.  If you multiply the above numbers by $2.2MM per win, and then add $400K, you get:
2.27 * 2.2 + 0.400 = $5.4MM
2.13 * 2.2 + 0.400 = $5.1MM

And those are the numbers we got when we ONLY talked about average and never brought up replacement level.

So, both sides can go ahead and do what they want to do: use only average or use only replacement.  You end up at the exact same spot.</description>
		<content:encoded><![CDATA[<p>The hard part of replacement level is deciding what that level is.</p>
<p>The easy part of average is that we know exactly what that level is: 4.8 runs per game in the recent past.</p>
<p>As I said, you can stick with average and ignore replacement completely.  Consider that the average payroll is 90MM of which around 12MM is required minimum payroll, leaving you with 78MM to play with for an average team (.500).  Presuming you allocate around 57% of your payroll to nonpitchers, that gives them 45MM to allocate for 9 full-time nonpitchers.</p>
<p>That means the average player will get 5MM per 162 games played.  Presume for the moment that each win (free agent, arbitration, pre-arb, on average) is worth $2.2MM per win.  (Plus of course every player gets his 400K minimum.)</p>
<p>So, this is what you get for a guy who plays 162 games:<br />
$7.6MM +1 win above average (WAA)<br />
$5.4MM +0 WAA<br />
$3.2MM -1 WAA<br />
$1.0MM -2 WAA<br />
$0.4MM -2.27 WAA</p>
<p>And if he plays 81 games:<br />
$5.1MM +1 win above average per 81 games (WAA)<br />
$2.9MM +0 WAA<br />
$0.7MM -1 WAA<br />
$0.4MM -1.135 WAA</p>
<p>So, roughly speaking, a guy who is an average player for 162 games is equal to a guy who is +1 wins above average over 81 games.  How do you equate those two with 1 number, rather than necessitating carrying two numbers (his WAA, and his games played)?</p>
<p>Well, if you add .014 wins per game to each player, this is what you get:<br />
First player: 0 wins above average + .014 * 162 = 2.27 wins<br />
Second player: 1 wins above average + .014 * 81 = 2.13</p>
<p>As you can see, both roughly equal.  If you multiply the above numbers by $2.2MM per win, and then add $400K, you get:<br />
2.27 * 2.2 + 0.400 = $5.4MM<br />
2.13 * 2.2 + 0.400 = $5.1MM</p>
<p>And those are the numbers we got when we ONLY talked about average and never brought up replacement level.</p>
<p>So, both sides can go ahead and do what they want to do: use only average or use only replacement.  You end up at the exact same spot.</p>
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		<title>By: gwangung</title>
		<link>http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/comment-page-2/#comment-251458</link>
		<dc:creator>gwangung</dc:creator>
		<pubDate>Thu, 07 Feb 2008 22:03:59 +0000</pubDate>
		<guid isPermaLink="false">http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/#comment-251458</guid>
		<description>#51

Gooooood points I like that.

And to repeat some things....there are more replacement level players out there. Easier to get a hold of...AND you&#039;re less likely to be distracted by the noise of individual players and easier to get a true picture.</description>
		<content:encoded><![CDATA[<p>#51</p>
<p>Gooooood points I like that.</p>
<p>And to repeat some things&#8230;.there are more replacement level players out there. Easier to get a hold of&#8230;AND you&#8217;re less likely to be distracted by the noise of individual players and easier to get a true picture.</p>
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		<title>By: smb</title>
		<link>http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/comment-page-2/#comment-251457</link>
		<dc:creator>smb</dc:creator>
		<pubDate>Thu, 07 Feb 2008 21:55:39 +0000</pubDate>
		<guid isPermaLink="false">http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/#comment-251457</guid>
		<description>I think the best advantage is that it is geared toward payroll efficiency. This type of analysis is exactly why the A&#039;s are able to consistently win more games than us without spending nearly as much money. What more proof of the value of these statistical constructs could be needed? If you compare the apparent analytical methodologies of two teams like the A&#039;s and M&#039;s, it&#039;s like a freestyle swim race in which one competitor (M&#039;s) is wearing lead socks. Either work the system to your advantage or get worked by it, right?</description>
		<content:encoded><![CDATA[<p>I think the best advantage is that it is geared toward payroll efficiency. This type of analysis is exactly why the A&#8217;s are able to consistently win more games than us without spending nearly as much money. What more proof of the value of these statistical constructs could be needed? If you compare the apparent analytical methodologies of two teams like the A&#8217;s and M&#8217;s, it&#8217;s like a freestyle swim race in which one competitor (M&#8217;s) is wearing lead socks. Either work the system to your advantage or get worked by it, right?</p>
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		<title>By: Broadcast James</title>
		<link>http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/comment-page-2/#comment-251456</link>
		<dc:creator>Broadcast James</dc:creator>
		<pubDate>Thu, 07 Feb 2008 21:37:43 +0000</pubDate>
		<guid isPermaLink="false">http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/#comment-251456</guid>
		<description>I&#039;m having a really hard time grasping the argument for using average players as the baseline player over using the baseline player as the baseline...

Bullet point one: How are you defining average? Mean? Median? Mode? I don&#039;t see how any of those are of particular value. So what if all the batting averages equal out to .280, what does that have to do with the players that are actually available? I just think the entire concept of there being some non-mythical average players out there is flawed to begin with. (As a side note, if you&#039;re using mode, replacement level might actually be the definition of an average ball player.) 

Bullet point two: Using the true baseline of talent makes intrinsic sense. In music theory it&#039;s the bottom note of the triad that gives the chord it&#039;s name, not some bizarre average. That&#039;s just the way it works in nature, even tough it might seem counter intuitive at first.

Bullet point three: If you&#039;re going to be making business decisions you need your data to be practical. Replacement level players will always be a practical option, while, finding a &quot;league average player (again, whatever that means)&quot; might not be realistic. 

Maybe this just comes down to people looking at the world through different lenses, but again I just don&#039;t get what the argument is here. Replacement level sets a realistic and authentic baseline... From a scientific perspective, that&#039;s what you want. 

BTW: Can we figure out Wins Over &quot;Dude of the Street&quot; (WODotS) next?  If we figure the average MLB team wins 81 games, and the dude off the street wins 1 due to a &quot;Bad News Bears&quot; type scenario, we can figure 80/25 is 3.2 wins per player... or 8 wins per starter (80/10)... So is Eric Bedard really only worth 13 wins over me?? :) I kid... most ridiculous analysis ever.</description>
		<content:encoded><![CDATA[<p>I&#8217;m having a really hard time grasping the argument for using average players as the baseline player over using the baseline player as the baseline&#8230;</p>
<p>Bullet point one: How are you defining average? Mean? Median? Mode? I don&#8217;t see how any of those are of particular value. So what if all the batting averages equal out to .280, what does that have to do with the players that are actually available? I just think the entire concept of there being some non-mythical average players out there is flawed to begin with. (As a side note, if you&#8217;re using mode, replacement level might actually be the definition of an average ball player.) </p>
<p>Bullet point two: Using the true baseline of talent makes intrinsic sense. In music theory it&#8217;s the bottom note of the triad that gives the chord it&#8217;s name, not some bizarre average. That&#8217;s just the way it works in nature, even tough it might seem counter intuitive at first.</p>
<p>Bullet point three: If you&#8217;re going to be making business decisions you need your data to be practical. Replacement level players will always be a practical option, while, finding a &#8220;league average player (again, whatever that means)&#8221; might not be realistic. </p>
<p>Maybe this just comes down to people looking at the world through different lenses, but again I just don&#8217;t get what the argument is here. Replacement level sets a realistic and authentic baseline&#8230; From a scientific perspective, that&#8217;s what you want. </p>
<p>BTW: Can we figure out Wins Over &#8220;Dude of the Street&#8221; (WODotS) next?  If we figure the average MLB team wins 81 games, and the dude off the street wins 1 due to a &#8220;Bad News Bears&#8221; type scenario, we can figure 80/25 is 3.2 wins per player&#8230; or 8 wins per starter (80/10)&#8230; So is Eric Bedard really only worth 13 wins over me?? <img src='http://ussmariner.com/wp-includes/images/smilies/icon_smile.gif' alt=':)' class='wp-smiley' />  I kid&#8230; most ridiculous analysis ever.</p>
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		<title>By: Evan</title>
		<link>http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/comment-page-1/#comment-251455</link>
		<dc:creator>Evan</dc:creator>
		<pubDate>Thu, 07 Feb 2008 20:56:49 +0000</pubDate>
		<guid isPermaLink="false">http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/#comment-251455</guid>
		<description>&lt;em&gt;Seems to me that replacement starts from the financial side (i.e. paying every player league mins) and gets a bit fuzzier once we get into baseball, and working from average is the other way around. It’s all pretty interesting, I just worry that replacement level is a bit of an artificial construct.&lt;/em&gt;

That&#039;s exactly the position held by Lee Sinins, so you&#039;re not completely out on a limb, here.

I disagree because Replacement level makes more sense to me in terms of roster building, and both replacement level and average are functionally equivalent when comparing teams (though the use of average would mean everything would always add up to zero, making for easier error checking).</description>
		<content:encoded><![CDATA[<p><em>Seems to me that replacement starts from the financial side (i.e. paying every player league mins) and gets a bit fuzzier once we get into baseball, and working from average is the other way around. It’s all pretty interesting, I just worry that replacement level is a bit of an artificial construct.</em></p>
<p>That&#8217;s exactly the position held by Lee Sinins, so you&#8217;re not completely out on a limb, here.</p>
<p>I disagree because Replacement level makes more sense to me in terms of roster building, and both replacement level and average are functionally equivalent when comparing teams (though the use of average would mean everything would always add up to zero, making for easier error checking).</p>
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		<title>By: thefin190</title>
		<link>http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/comment-page-1/#comment-251453</link>
		<dc:creator>thefin190</dc:creator>
		<pubDate>Thu, 07 Feb 2008 11:48:56 +0000</pubDate>
		<guid isPermaLink="false">http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/#comment-251453</guid>
		<description>Dave, could you possibly calculate how many wins each Mariner this coming season will provide and add them up? That&#039;d be interesting to see. I realize that spring training hasn&#039;t started so we don&#039;t know the full roster, but we have a pretty rough idea of who is going to be starting right?</description>
		<content:encoded><![CDATA[<p>Dave, could you possibly calculate how many wins each Mariner this coming season will provide and add them up? That&#8217;d be interesting to see. I realize that spring training hasn&#8217;t started so we don&#8217;t know the full roster, but we have a pretty rough idea of who is going to be starting right?</p>
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		<title>By: Sidi</title>
		<link>http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/comment-page-1/#comment-251452</link>
		<dc:creator>Sidi</dc:creator>
		<pubDate>Thu, 07 Feb 2008 10:42:49 +0000</pubDate>
		<guid isPermaLink="false">http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/#comment-251452</guid>
		<description>Ok, I lied when I clicked the button.  I meant to say &quot;left field it will be somewhat defensively.&quot;  Instead I got a edito, and it makes no sense.</description>
		<content:encoded><![CDATA[<p>Ok, I lied when I clicked the button.  I meant to say &#8220;left field it will be somewhat defensively.&#8221;  Instead I got a edito, and it makes no sense.</p>
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		<title>By: Sidi</title>
		<link>http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/comment-page-1/#comment-251451</link>
		<dc:creator>Sidi</dc:creator>
		<pubDate>Thu, 07 Feb 2008 10:41:14 +0000</pubDate>
		<guid isPermaLink="false">http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/#comment-251451</guid>
		<description>&lt;i&gt;Can the wins by nonpitchers (the 563) be separated by offense and defense? Some thing like offense for a nonpitcher 400 wins and defense 163. And would it vary by position? SS defensive value should be greater than a 1B&lt;/i&gt;

I think you&#039;d have to break it up into position.  If you look at first base the contributions would be almost entirely offensively (unless you&#039;re the Mariners).  If you&#039;re looking at left field it will be heavily somewhat (unless you&#039;re the Mariners).

Most stats that try to evaluate something like WARP or runs created do compare to a positional value, so it&#039;s not just a general comparison.</description>
		<content:encoded><![CDATA[<p><i>Can the wins by nonpitchers (the 563) be separated by offense and defense? Some thing like offense for a nonpitcher 400 wins and defense 163. And would it vary by position? SS defensive value should be greater than a 1B</i></p>
<p>I think you&#8217;d have to break it up into position.  If you look at first base the contributions would be almost entirely offensively (unless you&#8217;re the Mariners).  If you&#8217;re looking at left field it will be heavily somewhat (unless you&#8217;re the Mariners).</p>
<p>Most stats that try to evaluate something like WARP or runs created do compare to a positional value, so it&#8217;s not just a general comparison.</p>
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		<title>By: gwangung</title>
		<link>http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/comment-page-1/#comment-251449</link>
		<dc:creator>gwangung</dc:creator>
		<pubDate>Thu, 07 Feb 2008 09:44:12 +0000</pubDate>
		<guid isPermaLink="false">http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/#comment-251449</guid>
		<description>&lt;blockquote&gt; From this could I conclude the most important (valuable) player is an inexpensive position player who produces wins above replacement level? More so than a RP or SP for that matter? &lt;/blockquote&gt;

But..but...but..two Aces! Two Aces!</description>
		<content:encoded><![CDATA[<blockquote><p> From this could I conclude the most important (valuable) player is an inexpensive position player who produces wins above replacement level? More so than a RP or SP for that matter? </p></blockquote>
<p>But..but&#8230;but..two Aces! Two Aces!</p>
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		<title>By: coasty141</title>
		<link>http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/comment-page-1/#comment-251448</link>
		<dc:creator>coasty141</dc:creator>
		<pubDate>Thu, 07 Feb 2008 08:56:45 +0000</pubDate>
		<guid isPermaLink="false">http://ussmariner.com/2008/02/06/calculating-wins-above-replacement/#comment-251448</guid>
		<description>Can the wins by nonpitchers (the 563) be separated by offense and defense? Some thing like offense for a nonpitcher 400 wins and defense 163. And would it vary by position? SS defensive value should be greater than a 1B</description>
		<content:encoded><![CDATA[<p>Can the wins by nonpitchers (the 563) be separated by offense and defense? Some thing like offense for a nonpitcher 400 wins and defense 163. And would it vary by position? SS defensive value should be greater than a 1B</p>
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