<?xml version="1.0" encoding="ISO-8859-1"?>

<rss version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:content="http://purl.org/rss/1.0/modules/content/">
	<channel>
		<title>Badminton Central Discussion Forums - General Forum</title>
		<link>http://www.badmintoncentral.com/forums/</link>
		<description>Discussion on general badminton topics that are not covered in other forums</description>
		<language>en</language>
		<lastBuildDate>Fri, 10 Sep 2010 06:43:05 GMT</lastBuildDate>
		<generator>vBulletin</generator>
		<ttl>60</ttl>
		<image>
			<url>http://www.badmintoncentral.com/forums/images/misc/rss.png</url>
			<title>Badminton Central Discussion Forums - General Forum</title>
			<link>http://www.badmintoncentral.com/forums/</link>
		</image>
		<item>
			<title>Over the hill at 50 ?</title>
			<link>http://www.badmintoncentral.com/forums/showthread.php?89076-Over-the-hill-at-50&amp;goto=newpost</link>
			<pubDate>Thu, 09 Sep 2010 13:26:04 GMT</pubDate>
			<description><![CDATA[I still very much enjoy playing competitively but when you're past 50,  
it's pretty much a...]]></description>
			<content:encoded><![CDATA[<div>I still very much enjoy playing competitively but when you're past 50, <br />
it's pretty much a downward direction that i'm heading. It's very frustrating<br />
at times when your body can't keep up with your mind.<br />
 <br />
Is there any way i can do to play like i was 25 again? :D<br />
I have been doing training and all that but somehow i can't improve my reaction <br />
to smashes.<br />
 <br />
Any input?<br />
 <br />
James<br />
p/s i'm bored so i thought i'll post something :p</div>

 ]]></content:encoded>
			<category domain="http://www.badmintoncentral.com/forums/forumdisplay.php?3-General-Forum">General Forum</category>
			<dc:creator>1984AllENGLAND</dc:creator>
			<guid isPermaLink="true">http://www.badmintoncentral.com/forums/showthread.php?89076-Over-the-hill-at-50</guid>
		</item>
		<item>
			<title>How do I stand out to my coach?</title>
			<link>http://www.badmintoncentral.com/forums/showthread.php?89019-How-do-I-stand-out-to-my-coach&amp;goto=newpost</link>
			<pubDate>Tue, 07 Sep 2010 21:20:38 GMT</pubDate>
			<description>Tryouts are soon, and there are always a ton of people that try out for Badminton. 
Most of them...</description>
			<content:encoded><![CDATA[<div>Tryouts are soon, and there are always a ton of people that try out for Badminton.<br />
Most of them aren't very good, but there are just so many people, I don't know how I can get my coach to see that I have the skills to be on the team.<br />
<br />
What would be the best way to show off my talents? Like, footwork, tough shots, etc...?</div>

 ]]></content:encoded>
			<category domain="http://www.badmintoncentral.com/forums/forumdisplay.php?3-General-Forum">General Forum</category>
			<dc:creator>KYW917</dc:creator>
			<guid isPermaLink="true">http://www.badmintoncentral.com/forums/showthread.php?89019-How-do-I-stand-out-to-my-coach</guid>
		</item>
		<item>
			<title>Badminton body could move here (Singapore)</title>
			<link>http://www.badmintoncentral.com/forums/showthread.php?88978-Badminton-body-could-move-here-(Singapore)&amp;goto=newpost</link>
			<pubDate>Tue, 07 Sep 2010 01:12:10 GMT</pubDate>
			<description>Currently based in KL, BWF mulling a new home base and Switzerland, England and Singapore are...</description>
			<content:encoded><![CDATA[<div>Currently based in KL, BWF mulling a new home base and Switzerland, England and Singapore are possibilities<br />
 <br />
by Low Lin Fhoong, <b>TODAY online</b><br />
05:55 AM Sep 07, 2010<br />
 <br />
<font size="2">SINGAPORE - The Republic is currently basking in the afterglow of hosting the first Youth Olympic Games successfully. </font><br />
 <br />
<font size="2">In a little over two weeks, Formula 1's first night race will return to Marina Bay.</font><br />
 <br />
<font size="2">Preliminary work on the Sports Hub has already started and the clock is ticking down to the completion of the huge project, set for April 2014.</font><br />
 <br />
<font size="2">By then, Singapore could also be home to the Badminton World Federation (BWF).</font><br />
 <br />
<font size="2">Currently located in Kuala Lumpur, Malaysia, the world governing body of badminton is considering relocating its headquarters and the likes of Switzerland (Lausanne), England and Singapore are possible destinations. </font><br />
 <br />
<font size="2">In an interview with MediaCorp last month, BWF deputy president Paisan Rangsikitpho said: &quot;It's possible (to bring the headquarters to Singapore). We want to go wherever people want us and whether it's the best for badminton and our office. </font><br />
 <br />
<font size="2">&quot;Europe wants us, and many other countries are interested to host us and there's also the consideration to stay in Malaysia ... we have to see what's best for the BWF.&quot;</font><br />
 <br />
<font size="2">While the BWF have not outlined any fixed criteria for interested candidates, the current arrangement with Malaysia includes tax exemption, free office space and grants. </font><br />
 <br />
<font size="2">According to Malaysian newspaper The Star, Malaysia also pays RM500,000 ($216,300) annually to the BWF. </font><br />
 <br />
<font size="2">The Singapore Badminton Association (SBA) are ready to welcome the world body here. </font><br />
 <br />
<font size="2">&quot;SBA welcomes BWF's consideration of doing more out of Singapore,&quot; said president Lee Yi Shyan. </font><br />
 <br />
<font size="2">&quot;Singapore, as home to 7,000 multinationals, is already a favourite headquarters location with strong connectivity to the region and beyond. We believe the same advantages would benefit BWF if they were based in Singapore.&quot; </font><br />
 <br />
<font size="2">The BWF plan to introduce the new Premier Super Series next year.</font><br />
 <br />
<font size="2">The series will offer more prize money and ranking points.</font><br />
 <br />
<font size="2">The inaugural series will see five tournaments from the current 12 in the super series calendar elevated to Premier status, with increased prize money for the next three years - the US$1.2 million ($1.6 million) Korea Open, Indonesia Open (US$600,000), All England (US$350,000), China Open (US$350,000) and Denmark Open (US$350,000). </font><br />
 <br />
<font size="2">The BWF are in the midst of finalising a title sponsorship deal for the new series and Rangsikitpho said: &quot;We wanted to take the super series one level up and push the prize money higher. We're halfway now to the ATP (Association of Tennis Professionals) of maybe about US$2 to US$3 million prize money but we don't have grand slam stature yet. We're making some inroads here and hopefully attracting more players to play.&quot;</font><br />
 <br />
<font size="2">Employing a 32-player format, the Premier series will require compulsory participation from the world's top 10 men's and women's shuttlers, with a fine imposed on players who skip the tournaments. </font><br />
 <br />
<font size="2">Rangsikitpho was in town for the Youth Olympic Games and watched the badminton competition, which was held at the Singapore Indoor Stadium from Aug 15 to 19. </font><br />
 <br />
<font size="2">Changes are in store for the next edition in Nanjing, 2014. </font><br />
 <br />
<font size="2">With the Youth Olympic competition only allowing shuttlers aged 17 and 18 to compete, fans were unable to catch rising stars Viktor Axelsen, 16, of Denmark and Thailand's Ratchanok Inthanon, 15, in action in the boys' and girls' singles, respectively. Both world junior champions were unable to compete as they were underage. </font><br />
 <br />
<font size="2">&quot;They were not old enough because of IOC regulations but we're looking to change that ... it should be under-18. We want the best to come ... if they are the best of the world's juniors, they should be here,&quot; explained Rangsikitpho.</font></div>

 ]]></content:encoded>
			<category domain="http://www.badmintoncentral.com/forums/forumdisplay.php?3-General-Forum">General Forum</category>
			<dc:creator>aramistuscany</dc:creator>
			<guid isPermaLink="true">http://www.badmintoncentral.com/forums/showthread.php?88978-Badminton-body-could-move-here-(Singapore)</guid>
		</item>
		<item>
			<title>High Performance Director in Badminton ???</title>
			<link>http://www.badmintoncentral.com/forums/showthread.php?88959-High-Performance-Director-in-Badminton&amp;goto=newpost</link>
			<pubDate>Mon, 06 Sep 2010 10:12:01 GMT</pubDate>
			<description>What do you guys think about the post of the High Performance Director apointed by the Malaysian...</description>
			<content:encoded><![CDATA[<div>What do you guys think about the post of the High Performance Director apointed by the Malaysian Badminton Association recently ? Can it makes any difference to the existing world class team ?</div>

 ]]></content:encoded>
			<category domain="http://www.badmintoncentral.com/forums/forumdisplay.php?3-General-Forum">General Forum</category>
			<dc:creator>CHC7576</dc:creator>
			<guid isPermaLink="true">http://www.badmintoncentral.com/forums/showthread.php?88959-High-Performance-Director-in-Badminton</guid>
		</item>
		<item>
			<title>Tickets for World Championship 2011, Wembley</title>
			<link>http://www.badmintoncentral.com/forums/showthread.php?88877-Tickets-for-World-Championship-2011-Wembley&amp;goto=newpost</link>
			<pubDate>Thu, 02 Sep 2010 19:28:53 GMT</pubDate>
			<description>I am going to the watch World Championship 2011 at Wembley. 
Trying to get tickets from...</description>
			<content:encoded><![CDATA[<div>I am going to the watch World Championship 2011 at Wembley.<br />
Trying to get tickets from <a href="http://www.ticketmaster.co.uk/" target="_blank">www.ticketmaster.co.uk/</a><br />
<br />
Never purchase tickets from <a href="http://www.ticketmaster.co.uk/" target="_blank">www.ticketmaster.co.uk/</a> and find the navigation confusing.  Hope someone here can enlighten me.<br />
<br />
1. I would assume the lower tier, N8 and S8 block, being closest to the only playing court would have the best view.  Am I correct?<br />
<br />
2. Why can't I get lower tier tickets for Saturday and Sunday?  Being sold out?<br />
<br />
cheers<br />
<br />
Mcd</div>

 ]]></content:encoded>
			<category domain="http://www.badmintoncentral.com/forums/forumdisplay.php?3-General-Forum">General Forum</category>
			<dc:creator>mcdogoo</dc:creator>
			<guid isPermaLink="true">http://www.badmintoncentral.com/forums/showthread.php?88877-Tickets-for-World-Championship-2011-Wembley</guid>
		</item>
		<item>
			<title>be a good badminton player</title>
			<link>http://www.badmintoncentral.com/forums/showthread.php?88823-be-a-good-badminton-player&amp;goto=newpost</link>
			<pubDate>Wed, 01 Sep 2010 04:06:21 GMT</pubDate>
			<description>i hope someone will help me to become a  good player in badminton.... is anyone can be my sponsor??...</description>
			<content:encoded><![CDATA[<div>i hope someone will help me to become a  good player in badminton.... is anyone can be my sponsor?? plssss..yonex,li-ning,victor,sotx or any person would help me...</div>

 ]]></content:encoded>
			<category domain="http://www.badmintoncentral.com/forums/forumdisplay.php?3-General-Forum">General Forum</category>
			<dc:creator>jhong88</dc:creator>
			<guid isPermaLink="true">http://www.badmintoncentral.com/forums/showthread.php?88823-be-a-good-badminton-player</guid>
		</item>
		<item>
			<title>Philosophies of Double Plays</title>
			<link>http://www.badmintoncentral.com/forums/showthread.php?88709-Philosophies-of-Double-Plays&amp;goto=newpost</link>
			<pubDate>Sun, 29 Aug 2010 08:28:35 GMT</pubDate>
			<description>What do you believe double plays is all about? Start a list and add to the list:  
 
I ll start:  
...</description>
			<content:encoded><![CDATA[<div>What do you believe double plays is all about? Start a list and add to the list: <br />
<br />
I ll start: <br />
<br />
1. Plan with your partner before each serve. <br />
<br />
Go.</div>

 ]]></content:encoded>
			<category domain="http://www.badmintoncentral.com/forums/forumdisplay.php?3-General-Forum">General Forum</category>
			<dc:creator>Birdy</dc:creator>
			<guid isPermaLink="true">http://www.badmintoncentral.com/forums/showthread.php?88709-Philosophies-of-Double-Plays</guid>
		</item>
		<item>
			<title>Badminton Scoreboard (freeware)</title>
			<link>http://www.badmintoncentral.com/forums/showthread.php?88689-Badminton-Scoreboard-(freeware)&amp;goto=newpost</link>
			<pubDate>Sat, 28 Aug 2010 19:07:06 GMT</pubDate>
			<description>_*Badminton Scoreboard (freeware):*_ 
 
Image:...</description>
			<content:encoded><![CDATA[<div><u><b>Badminton Scoreboard (freeware):</b></u><br />
<br />
<div align="center"><a href="http://3.bp.blogspot.com/_5NcQAxOMXxM/THlbPt-x1qI/AAAAAAAAAsY/0BnoMeSXEbg/s1600/screboard.JPG" target="_blank"><img src="http://3.bp.blogspot.com/_5NcQAxOMXxM/THlbPt-x1qI/AAAAAAAAAsY/0BnoMeSXEbg/s400/screboard.JPG" border="0" alt="" /></a></div>I made it in visual basic...<br />
Free download! ------&gt; <a href="http://goranbadminton.blogspot.com/p/software.html" target="_blank"><b>http://goranbadminton.blogspot.com/p/software.html</b></a></div>

 ]]></content:encoded>
			<category domain="http://www.badmintoncentral.com/forums/forumdisplay.php?3-General-Forum">General Forum</category>
			<dc:creator>solar</dc:creator>
			<guid isPermaLink="true">http://www.badmintoncentral.com/forums/showthread.php?88689-Badminton-Scoreboard-(freeware)</guid>
		</item>
		<item>
			<title><![CDATA[Jake downey's books in India]]></title>
			<link>http://www.badmintoncentral.com/forums/showthread.php?88658-Jake-downey-s-books-in-India&amp;goto=newpost</link>
			<pubDate>Sat, 28 Aug 2010 03:33:25 GMT</pubDate>
			<description><![CDATA[Hi everyone, for heavens sake, does anyone know any place in India where we get Jake Downey's...]]></description>
			<content:encoded><![CDATA[<div>Hi everyone, for heavens sake, does anyone know any place in India where we get Jake Downey's Excelling at Badminton?  I have been trying for a while to get it...DOes not matter which ever city it is. Please tell me. I need to know it fast.<br />
                       <br />
                                    Thank you</div>

 ]]></content:encoded>
			<category domain="http://www.badmintoncentral.com/forums/forumdisplay.php?3-General-Forum">General Forum</category>
			<dc:creator>b2harath2</dc:creator>
			<guid isPermaLink="true">http://www.badmintoncentral.com/forums/showthread.php?88658-Jake-downey-s-books-in-India</guid>
		</item>
		<item>
			<title>What do you guys drink while playing?</title>
			<link>http://www.badmintoncentral.com/forums/showthread.php?88543-What-do-you-guys-drink-while-playing&amp;goto=newpost</link>
			<pubDate>Wed, 25 Aug 2010 00:10:30 GMT</pubDate>
			<description>Hey  
 
What do YOU guys drink while training 
 
Me 
 
Mostly water (sometimes flavoured), rarely...</description>
			<content:encoded><![CDATA[<div>Hey <br />
<br />
What do YOU guys drink while training<br />
<br />
Me<br />
<br />
Mostly water (sometimes flavoured), rarely Gatorade, Occasionally Pocari Sweat</div>

 ]]></content:encoded>
			<category domain="http://www.badmintoncentral.com/forums/forumdisplay.php?3-General-Forum">General Forum</category>
			<dc:creator>ilostmybrain</dc:creator>
			<guid isPermaLink="true">http://www.badmintoncentral.com/forums/showthread.php?88543-What-do-you-guys-drink-while-playing</guid>
		</item>
		<item>
			<title>New BadmintonCentral.com Facebook page..</title>
			<link>http://www.badmintoncentral.com/forums/showthread.php?88408-New-BadmintonCentral.com-Facebook-page..&amp;goto=newpost</link>
			<pubDate>Sat, 21 Aug 2010 06:58:42 GMT</pubDate>
			<description><![CDATA[Hi y'all, 
for those who have a facebook account, there's a new BadmintonCentral page. This is...]]></description>
			<content:encoded><![CDATA[<div>Hi y'all,<br />
for those who have a facebook account, there's a new BadmintonCentral page. This is different than the previous BadmintonCentral Group page (we might combine or link the two together)..<br />
The creator is still working to put the page together, but it will be up pretty soon..<br />
Anyone who is willing to help maintain the page, please contact kwun for further infos..<br />
So, do check it out &amp; populate it..:cool::<br />
<a href="http://www.facebook.com/pages/Badminton-Central/143391389026582" target="_blank">http://www.facebook.com/pages/Badmin...43391389026582</a></div>

 ]]></content:encoded>
			<category domain="http://www.badmintoncentral.com/forums/forumdisplay.php?3-General-Forum">General Forum</category>
			<dc:creator>ctjcad</dc:creator>
			<guid isPermaLink="true">http://www.badmintoncentral.com/forums/showthread.php?88408-New-BadmintonCentral.com-Facebook-page..</guid>
		</item>
		<item>
			<title>Surrey County Team</title>
			<link>http://www.badmintoncentral.com/forums/showthread.php?88328-Surrey-County-Team&amp;goto=newpost</link>
			<pubDate>Wed, 18 Aug 2010 13:02:23 GMT</pubDate>
			<description>Do any of you BC members play for Surrey, England or know people who do? 
 
Thanks</description>
			<content:encoded><![CDATA[<div>Do any of you BC members play for Surrey, England or know people who do?<br />
<br />
Thanks</div>

 ]]></content:encoded>
			<category domain="http://www.badmintoncentral.com/forums/forumdisplay.php?3-General-Forum">General Forum</category>
			<dc:creator>david14700</dc:creator>
			<guid isPermaLink="true">http://www.badmintoncentral.com/forums/showthread.php?88328-Surrey-County-Team</guid>
		</item>
		<item>
			<title>Badminton Tattoo</title>
			<link>http://www.badmintoncentral.com/forums/showthread.php?88286-Badminton-Tattoo&amp;goto=newpost</link>
			<pubDate>Mon, 16 Aug 2010 16:27:52 GMT</pubDate>
			<description>shuttlecock tattoo 
 
Attachment 77897...</description>
			<content:encoded><![CDATA[<div>shuttlecock tattoo<br />
<br />
<a href="http://www.badmintoncentral.com/forums/attachment.php?attachmentid=77897"  title="Name:  
Views: 
Size:  ">Attachment 77897</a></div>


	<div style="padding:10px">

	

	
		<fieldset class="fieldset">
			<legend>Attached Images</legend>
			<div style="padding:10pxpx">
			<img class="attach" src="http://www.badmintoncentral.com/forums/attachment.php?attachmentid=77897&amp;stc=1&amp;d=1281975762" alt="" />&nbsp; 
			</div>
		</fieldset>
	

	

	

	</div>
 ]]></content:encoded>
			<category domain="http://www.badmintoncentral.com/forums/forumdisplay.php?3-General-Forum">General Forum</category>
			<dc:creator>lizag</dc:creator>
			<guid isPermaLink="true">http://www.badmintoncentral.com/forums/showthread.php?88286-Badminton-Tattoo</guid>
		</item>
		<item>
			<title>Badminton Win Probability - From Points to Games</title>
			<link>http://www.badmintoncentral.com/forums/showthread.php?88211-Badminton-Win-Probability-From-Points-to-Games&amp;goto=newpost</link>
			<pubDate>Sat, 14 Aug 2010 00:06:06 GMT</pubDate>
			<description>Badminton Win Probability - From Points to Games 
 
This is a statistical analysis of how the...</description>
			<content:encoded><![CDATA[<div><font size="+2">Badminton Win Probability - From Points to Games</font><br />
<br />
This is a statistical analysis of how the probability of winning a single point can be used to calculate the probability of winning a game.  For this analysis, I assume that each point/game is independent of any other.  This means that no psychological effects are considered (chance to win a point with a 10 point lead is the same as with a 10 point deficit).<br />
<br />
If we take the probability to win a single point as a measure of the skill difference between players.  Then this analysis will show both the expected result of a match and the expected points breakdown in a game.<br />
<br />
<br />
<font size="+2">Badminton Scoring</font><br />
<br />
The rally scoring system will be used.  In which:<br />
A <b>point</b> is scored on each serve.<br />
A <b>game</b> is won by the first player to:<br />
<ul><li>reach 21 points with at least a two point lead over the opponent</li>
<li>after 20:20, score a two point lead over the opponent</li>
<li>after 20:20, reach 30 points</li>
</ul> A <b>match</b> is won by the first player to win two games.<br />
<br />
<br />
<font size="+2">Introduction</font><br />
<br />
Consider a match between players <b>A</b> and <b>B</b>.  Let:<br />
<b>p_point</b> = probability of player A winning any one point.<br />
<b>p_game</b> = probability of player A winning any one game.<br />
<b>p_match</b> = probability of player A winning the match.<br />
<br />
Due to the simple combinatorics of winning two games out of three, It's trivial to see that:<br />
<div class="bbcode_container">
	<div class="bbcode_description">Code:</div>
	<hr /><code class="bbcode_code">p_match = p_game * p_game + 2 * p_game * p_game * (1 - p_game)</code><hr />
</div> In words this means that there is just one way for A to win two games in a row (Win-Win-END), and two ways for A to win two games and lose one game (Win-Lose-Win-END, or Lose-Win-Win-END).<br />
<br />
To introduce a bit more notation, p_match can be rewritten as:<br />
<div class="bbcode_container">
	<div class="bbcode_description">Code:</div>
	<hr /><code class="bbcode_code">p_match = (2,0) * p_game^2 + (2,1) * p_game^2 * (1 - p_game)</code><hr />
</div> Where the caret, &quot;^&quot;, signifies exponentiation (5^3 = 5*5*5 = &quot;five to the power of 3&quot;).<br />
<br />
While the notation of (n,k) signifies the binomial coefficient, the number of ways k items can be chosen from a set of n items.  For (2,1) in the case, we are choosing where the one lost game can occur in the set of two games (first or second game).  There is only one lost game to consider since we are calculating for when player A wins.  Also, we only consider putting it in either the first or second game since A would not have a chance to lose the third game if he won both earlier games.<br />
<br />
<br />
<font size="+2">Analysis</font><br />
<br />
With the introduction out of the way, the true objective is to calculate how p_point is related to p_game.  This is done in essentially the same way as above, where p_match was calculated from p_game.<br />
<br />
Up until 20:20, p_game is easy to think about.  Player A can win anywhere from 21:0 to 21:19.  This means that for each particular score, A scores 21 points and B scores <i>i</i> points, where i is between 0 and 19.  Also, for A to win, A will always score the last point.  So the combinatorics is to chose where 20 points can be placed in (20+i) places.<br />
<br />
The formula in pseudo-code is:<br />
<div class="bbcode_container">
	<div class="bbcode_description">Code:</div>
	<hr /><code class="bbcode_code">p_game = 0<br />
for i = 0:19<br />
&nbsp; &nbsp; p_game = p_game + (20+i, 20) * p_point^21 * (1 - p_point)^i<br />
end</code><hr />
</div> 20:20 occurs when both A and B score 20 points each, this of course means that we are choosing 20 out of 40.  The probability to reach 20:20 is:<br />
<div class="bbcode_container">
	<div class="bbcode_description">Code:</div>
	<hr /><code class="bbcode_code">(40, 20) * p_point^20 * (1 - p_point)^20</code><hr />
</div> From here A needs a two point advantage in order to win the game (until 29:29).  This means an extra factor of p_point^2.  Also, going up the score charts, there needs to be a factor of 2 * p_point * (1 - p_point) every time deuce is reached.  To explain in more detail, going from 20:20 to 21:21 requires one point for A and one point for B, and this can be done in two ways (A-B or B-A).<br />
<br />
The formula for 22+ point victories are:<br />
<div class="bbcode_container">
	<div class="bbcode_description">Code:</div>
	<hr /><code class="bbcode_code">for i = 0:8<br />
&nbsp; &nbsp; p_game = p_game + (40, 20) * p_point^22 * (1 - p_point)^20 * (2 * p_point * (1 - p_point))^i<br />
end</code><hr />
</div> Reaching 29:29, A just needs one more point to win, the probability to win 30:29 is simply:<br />
<div class="bbcode_container">
	<div class="bbcode_description">Code:</div>
	<hr /><code class="bbcode_code">(40, 20) * p_point^21 * (1 - p_point)^20 * (2 * p_point * (1 - p_point))^9</code><hr />
</div> <font size="+2"><br />
<br />
Results</font><br />
<br />
After putting everything together, lets plug in some numbers and get some results.<br />
<br />
<div class="bbcode_container">
	<div class="bbcode_description">Code:</div>
	<hr /><code class="bbcode_code">p_point&nbsp; &nbsp; &nbsp;  p_game&nbsp; &nbsp; &nbsp; &nbsp; p_match<br />
0.5000&nbsp; &nbsp; &nbsp; &nbsp; 0.5000&nbsp; &nbsp; &nbsp; &nbsp; 0.5000<br />
0.5500&nbsp; &nbsp; &nbsp; &nbsp; 0.7458&nbsp; &nbsp; &nbsp; &nbsp; 0.8390<br />
0.6000&nbsp; &nbsp; &nbsp; &nbsp; 0.9086&nbsp; &nbsp; &nbsp; &nbsp; 0.9765<br />
0.7000&nbsp; &nbsp; &nbsp; &nbsp; 0.9970&nbsp; &nbsp; &nbsp; &nbsp; 1.0000</code><hr />
</div> It's quite clear that even a small change in p_point leads to big changes in p_game.  Winning 55% of rallies leads to winning 75% of games.  Increasing that to 60% of rallies give 90% win probability for games.<br />
<br />
The probability for how points breakdown for each game is plotted at the end of the post.  The plots show results for the four p_points above for both A winning or B winning.  The probability dip beyond 20 points is expected since that can only be achieved with a score of 20:20 at some point and can only be continued with deuces.  The x-axis label kept getting cut off for some reason, but the last word is just &quot;game&quot;.<br />
<br />
In the next section, I will use the same method for tennis.<br />
<br />
<br />
<br />
<br />
<font size="+2">Tennis Win Probability - From Points to Games to Sets</font><br />
<br />
I had worked out the above analysis for a while now, but had been too lazy to write it all up.  GameGod's post, <a href="http://www.badmintoncentral.com/forums/showthread.php?88196" target="_blank">http://www.badmintoncentral.com/foru...read.php?88196</a>, was what finally motivated me to do the analysis for tennis and post both results.<br />
<br />
I will again be assuming a single probability for winning a point.  This is much more questionable in tennis since the serve is such an advantage.  Since this tennis analysis is just to answer GameGod's question, it should suffice.  But if there is interest, I may redo the analysis to account for service advantage.<br />
<br />
<br />
<font size="+2">Tennis Scoring</font><br />
<br />
There are more variations in tennis scoring than badminton.  I will use the following:<br />
A <b>point</b> is scored on each serve.<br />
A <b>game</b> is won by the first player to:<br />
<ul><li>reach 4 points with at least a two point lead over the opponent</li>
<li>after 3:3, score a two point lead over the opponent with no limit</li>
</ul><br />
A <b>set</b> is won by the first player to:<br />
<ul><li>reach 6 games with at least a two game lead over the opponent</li>
<li>after 5:5, win two games in a row</li>
<li>after 6:6, win seven points with a two point lead over the opponent with no limit</li>
</ul> A <b>match</b> is won by the first player to win two/three sets.<br />
<br />
<br />
<font size="+2">Analysis</font><br />
<br />
I will not be posting the tennis analysis, this is a badminton forum after all.  The basic idea is the same, but there are more tricky parts.  If there is interest to see the full analysis, I will consider posting them.<br />
<br />
Consider a match between players <b>A</b> and <b>B</b>.  Let:<br />
<b>p_point</b> = probability of player A winning any one point.<br />
<b>p_game</b> = probability of player A winning any one game.<br />
<b>p_set</b> = probability of player A winning any one set.<br />
<b>p_match</b> = probability of player A winning the match.<br />
<br />
The main differences from badminton is the addition of a &quot;set&quot;, this really just adds another level of analysis and is not that much of a problem.  The main variations in tennis rules is due to tie-breaking.  There are major differences in this aspect even in major tournaments.<br />
<br />
Tie-breaking to win a game follows the deuce/advantage system, in which a two point lead is needed and there is no limit.  However, there is also &quot;no-advantage&quot; scoring, where a game is won by the first player to win four point, full stop.<br />
<br />
Tie-breaking to win a set is usually done with &quot;seven point tie-break&quot;, where after reaching 6:6, a final game is played to a seven points and at least a two point lead with no limit.  However, some tournaments still play with &quot;advantage set&quot;, where the set continues until a player has a two game lead with no limit.  This was shown recently with the 2010 Wimbledon first-round match between John Isner and Nicolas Mahut.<br />
<br />
To win a match, Men's usually play best of 5 sets, while Women's usually play best of 3 sets.  For best of three sets, the method to get p_match from p_set is the same as that as in badminton (where p_game is used to get p_match).  For best of five sets, that is left as an exercise to the reader.<br />
<br />
<br />
<font size="+2">Results</font><br />
<br />
<div class="bbcode_container">
	<div class="bbcode_description">Code:</div>
	<hr /><code class="bbcode_code">p_point&nbsp; &nbsp; &nbsp;  p_game&nbsp; &nbsp; &nbsp; &nbsp; p_set<br />
0.5000&nbsp; &nbsp; &nbsp; &nbsp; 0.5000&nbsp; &nbsp; &nbsp; &nbsp; 0.5000<br />
0.5500&nbsp; &nbsp; &nbsp; &nbsp; 0.6231&nbsp; &nbsp; &nbsp; &nbsp; 0.8150<br />
0.6000&nbsp; &nbsp; &nbsp; &nbsp; 0.7357&nbsp; &nbsp; &nbsp; &nbsp; 0.9634<br />
0.7000&nbsp; &nbsp; &nbsp; &nbsp; 0.9008&nbsp; &nbsp; &nbsp; &nbsp; 0.9998</code><hr />
</div> It's again clear that a small change in p_point leads to big changes in p_game and p_set.  It's worth mentioning that for the same p_point, both badminton and this tennis scoring variant give very similar p_set.  This will allow us to compare the point breakdown in a game of badminton and the game breakdown in a set of tennis to answer GameGod's question.<br />
<br />
The probability for how games breakdown for each set is plotted at the end of the post.  The plots show results for the four p_points above for both A winning or B winning.  While the distribution moves left just as the badminton point breakdown distribution, the tennis distribution moves much faster.  The x-axis label again keeps getting cut off for some reason, the last word is just &quot;set&quot;.<br />
<br />
<br />
<font size="+2">GameGod's Question</font><br />
<br />
GameGod's question from <a href="http://www.badmintoncentral.com/forums/showthread.php?88196" target="_blank">http://www.badmintoncentral.com/foru...read.php?88196</a> essentially asks how to compare scores between badminton and tennis.<br />
<br />
My answer is to compare the point distributions from badminton to the game distributions from tennis.  This is done by taking groups of points in badminton and summing their individual probabilities and matching the sum to the probability for each game in tennis.<br />
<br />
This comparison needs to be done when the distributions are calculated from the same p_point.  This is justified since the p_game from badminton match the p_set from tennis for the same p_point.<br />
<br />
For p_point = 0.5<br />
<div class="bbcode_container">
	<div class="bbcode_description">Code:</div>
	<hr /><code class="bbcode_code">tennis&nbsp; &nbsp; &nbsp;  badminton<br />
6 : 0&nbsp; &nbsp; &nbsp; &nbsp; 0-8<br />
6 : 1&nbsp; &nbsp; &nbsp; &nbsp; 9-11<br />
6 : 2&nbsp; &nbsp; &nbsp; &nbsp; 12-14<br />
6 : 3&nbsp; &nbsp; &nbsp; &nbsp; 15-16<br />
6 : 4&nbsp; &nbsp; &nbsp; &nbsp; 17-18<br />
7 : 5&nbsp; &nbsp; &nbsp; &nbsp; 19<br />
7 : 6&nbsp; &nbsp; &nbsp; &nbsp; 20-29</code><hr />
</div> For p_point = 0.7<br />
<div class="bbcode_container">
	<div class="bbcode_description">Code:</div>
	<hr /><code class="bbcode_code">tennis&nbsp; &nbsp; &nbsp;  badminton<br />
6 : 0&nbsp; &nbsp; &nbsp; &nbsp; 0-8<br />
6 : 1&nbsp; &nbsp; &nbsp; &nbsp; 9-12<br />
6 : 2&nbsp; &nbsp; &nbsp; &nbsp; 13-15<br />
6 : 3&nbsp; &nbsp; &nbsp; &nbsp; 16-18<br />
6 : 4&nbsp; &nbsp; &nbsp; &nbsp; 19-20<br />
7 : 5&nbsp; &nbsp; &nbsp; &nbsp; 21-22<br />
7 : 6&nbsp; &nbsp; &nbsp; &nbsp; 23-29</code><hr />
</div> Due to the integer nature of points and games, the sums do not match up exactly.  However, I think it is sufficient given the coarse nature of the tennis analysis.  If a comparison between a match of badminton and a match of tennis was desired, it would probably require a tedious cross multiplication between the distributions before the summation comparison.<br />
<br />
I hope this has been an interesting analysis for everyone to read.  Thanks.<br />
<br />
 - hhwoot</div>


	<div style="padding:10px">

	

	
		<fieldset class="fieldset">
			<legend>Attached Images</legend>
			<div style="padding:10pxpx">
			<img class="attach" src="http://www.badmintoncentral.com/forums/attachment.php?attachmentid=77722&amp;stc=1&amp;d=1281743772" alt="" />&nbsp; <img class="attach" src="http://www.badmintoncentral.com/forums/attachment.php?attachmentid=77721&amp;stc=1&amp;d=1281743772" alt="" />&nbsp; <img class="attach" src="http://www.badmintoncentral.com/forums/attachment.php?attachmentid=77726&amp;stc=1&amp;d=1281743773" alt="" />&nbsp; <img class="attach" src="http://www.badmintoncentral.com/forums/attachment.php?attachmentid=77724&amp;stc=1&amp;d=1281743773" alt="" />&nbsp; <img class="attach" src="http://www.badmintoncentral.com/forums/attachment.php?attachmentid=77728&amp;stc=1&amp;d=1281743773" alt="" />&nbsp; <img class="attach" src="http://www.badmintoncentral.com/forums/attachment.php?attachmentid=77723&amp;stc=1&amp;d=1281743772" alt="" />&nbsp; <img class="attach" src="http://www.badmintoncentral.com/forums/attachment.php?attachmentid=77727&amp;stc=1&amp;d=1281743773" alt="" />&nbsp; <img class="attach" src="http://www.badmintoncentral.com/forums/attachment.php?attachmentid=77725&amp;stc=1&amp;d=1281743773" alt="" />&nbsp; 
			</div>
		</fieldset>
	

	

	

	</div>
 ]]></content:encoded>
			<category domain="http://www.badmintoncentral.com/forums/forumdisplay.php?3-General-Forum">General Forum</category>
			<dc:creator>hhwoot</dc:creator>
			<guid isPermaLink="true">http://www.badmintoncentral.com/forums/showthread.php?88211-Badminton-Win-Probability-From-Points-to-Games</guid>
		</item>
		<item>
			<title>Where are the good places to buy badminton rackets in SG?</title>
			<link>http://www.badmintoncentral.com/forums/showthread.php?88148-Where-are-the-good-places-to-buy-badminton-rackets-in-SG&amp;goto=newpost</link>
			<pubDate>Thu, 12 Aug 2010 04:25:46 GMT</pubDate>
			<description>hi to all 
  
  
I am quite new to badminton and i m planning to get a racket at a budget of S$50 -...</description>
			<content:encoded><![CDATA[<div>hi to all<br />
 <br />
 <br />
I am quite new to badminton and i m planning to get a racket at a budget of S$50 - $100<br />
 <br />
 <br />
any chances for me to get a good racket with that amount??<br />
 <br />
 <br />
thx</div>

 ]]></content:encoded>
			<category domain="http://www.badmintoncentral.com/forums/forumdisplay.php?3-General-Forum">General Forum</category>
			<dc:creator>ErikaT</dc:creator>
			<guid isPermaLink="true">http://www.badmintoncentral.com/forums/showthread.php?88148-Where-are-the-good-places-to-buy-badminton-rackets-in-SG</guid>
		</item>
	</channel>
</rss>
