IPL2009 Over by Over Analysis

Recently Ananth (the owner of an excellent blog "It Figures" at cricinfo.org) did very good anaysis of numbers that came out of the IPL 2009 version. He provided over by over runs scored (with their averages and standard deviations) and wickets fallen (with averages and standard deviations).

The statistical analysis (at least in first look) matches very well with it madness on field as very correctly captured by the 'Coefficient of Variation' [ratio of std. and mean] . A CoV of one means a random process (e.g. Poisson Process) and if the CoV is more than one it means that there are clustered events. In any case CoV in runs scored per over and wickets fallen per over in completely is a random process.
However, there is still some hope as there is some pattern in the data generated by IPL 2009.

The top panel in the figure below shows the cross-correlation as color-coded (blue means high negative correlation and red/brown mean high positive correlation), between any two variables e.g Average Runs Scored and Average Wickets Fallen and so on. The significance of correlation is shown in bottom panel. The white boxes are for the auto-correlation (which is One always by definition, so excluded). Both the panels are symmetric along the diagonal.
There is an interesting correlation between Average Runs scored and number of wickets fallen in an over.

Average Runs (RAvg) scored (see second column) is strongly (and significantly) positively correlated with Number of Wickets fallen (Wkts), Average Wickets per over (AWkt).
Correlations should not be confused with causality but the data indicates that Average number of runs scored is related to number of wickets fallen in an over. This is kind of a paradox to me. If a wicket falls in an over it means that there are less balls left to score. I leave it to you guys to make suggestion to resolve the paradox.




right arm over
Arvind

PS: Maybe the incoming batsmen tend to start with big-hits in IPL or in Twenty-Twenty Cricket, if wickets fall early in an over. It is also possible that the wickets fall when the batsmen is going for big-hits that means that most wickets should fall towards the end of the over.

Figure below is on suggestions from Annesh. I left out last three over from the correlation analysis. The correlation between Avg Wickets and Avg. Runs still remains high and significant.

Why Indians Like Cricket

There are two things all Indians usually agree to -- English the language and Cricket the game. Its rather easy to understand why Indians like to learn and use English as mode of communication -- in a country of hundreds of languages its easier to agree on a neutral language as a mode of communication.

After the World Cup victory in 1983 Cricket has seen an exponential increase in its popularity in India (also in the sub-continent) and emergence of Indian Premier League is a clear sign of Cricket's popularity and emergence of India as a powerhouse of Cricket.

Why Indians started to like Cricket so much? Somehow it does not make sense? A colonial game becoming such a huge success, maybe it has something to do with having a chance to defeat England (particularly in England). But is that all? Most people will agree on it. There is one problem though. Before a population, a country realizes that Cricket is an opportunity to defeat England, the game of Cricket must exist in the public imagination, i.e. a large population should find interest in the game and appreciate it.

Why Indians or for that matter the sub-continent chose Cricket over Soccer? Why a game which potentially takes up days (in its most traditional sense), whose rules (actually they are called Laws) no average person can really fathom. How difficult Cricket is, becomes very evident when you try to explain the game to someone not already familiar with it, say to the Germans. After explaining the basic idea of Cricket, its not easy to find people who would like to know and follow cricket. You essentially have to grow up into an atmosphere filled with it to really appreciate it.

In the following I propose my conjecture why Cricket could capture the imagination of a huge population in India and in the sub-continent and why other sports such as soccer failed to find a niche in the sub-continent. In fact I will use the example of soccer to make the case for the popularity of Cricket.

India is a country of a huge middle class and a equally large number of people live below the poverty line. Those in the middle class are in a strange state, in fact they are in a transition state, as all factors indicate that are just one step before making it to the so called upper-class. So, all their efforts are directed to achieve something in their life, make it big and complete the transition to upper class. Education is traditionally seen as a means to complete the transition.

Kids are asked "what did they do?" instead of "how did they do?" in any thing they do.

If a kid comes home after a game of soccer, his parents and other elders would ask him what did he do in the game? Not all players can score a goal in soccer. But how will you tell this to your parents, for them running around after the soccer ball with other 21, is an utter wasteful activity. It appears that Indian parents want a quantitative measure of the performance of their kids.

Cricket provided them exactly that. After the game of cricket, you can tell your performance in number, 10-2-28-3 or 32 runs, two catches or a run out, or even more mundane but hugely appreciated 3- fours or 2 sixes.

Arguably, cricket is one of the most democratic of all team sports. Physical strength is a not such an important parameter, if you can manage to stand and run every now and then, over five days, it will do. If you cannot bowl fast, you can become a spinner; if you cant hit big shots, you can still be a very effective accumulator of runs. In fact, no other team sport can show so many physically unfit sports-persons in their hall-of-fame. For a country like India, where middle class does not only refer to economical status but it also conforms with the standards of physical strength (excluding perhaps the farmers), cricket emerged as the perfect game for the middle class.

Further, in Cricket when your turn comes to play your part, no one is allowed to disturb you. In soccer for example as soon as you get the ball, at least four other player will come around you to snatch the ball and of course, besides skills, physical strength of the players does influence the outcome. In Cricket on the contrary when you are on the wicket, batting, the laws prohibit even a small whisper from other players. Similarly when you are about to bowl, the opposition players dont come around and distract you right when you are about to release the ball. Ok, sledging happens. This feature necessarily makes it a popular choice among kids who are not physically strong and need to mentally focus to apply their skills.

Sports are traditionally thought to be for the those physically strong. Cricket removes this bias and still provides a quantitative way to measure up the performance. I think these are most defining aspects of Cricket. In my opinion, these two aspects of cricket contributed to the popularity of cricket in middle class and it was a matter of time (about a generation) when India came out of age and is on its way to become a super-power of Cricket.

I think that similar reasons exist for other countries such as Pakistan, Sri-Lanka, Bangladesh and perhaps even in the West-Indies.

-----------
PS: Scalability and flexibility are two necessary things a game needs to become a popular sport. As far as the rule (or Laws) of the game go, they may appear very complicated in an MCC manual. In practice the game is amazingly scalable to any arbitrary number of players and amazingly flexible to bend the laws without altering the spirit of the game.

Attacks on SriLanka Cricket Players-- Please Dont Isolate Pakistan

The attacks on the Sri Lanka cricket player while they were on their way to resume the third day of a test match is really unfortunate and is very rightly drawing a lot of international attention in condemning this act of terror.

I am pretty sure that no one in this world (except for the terrorists themselves) would have expected that there could be a terror strike on the cricket players, even in Pakistan; because in Pakistan and in the sub-continent cricket is like a parallel religion and cricket player, irrespective of their nationality are treated like demi-gods.

So if cricket and cricketers are not safe in Pakistan then who is...

The cricket world is all but scared and future cricket-tours to Pakistan have been cancelled. Pakistan as a joint host of the 2011 world cup is very doubtful. It unlikely that any team can be convinced to tour Pakistan in near future. This is so unfortunate as with this tour of Sri-lankan team cricket barely resumed and this act of shame happened.

A lot of words have been and will be written about the yet another lapse in security and why not even after such an attack the gunmen managed to escape, making a full mockery of the security in Pakistan. It is obvious that given the circumstances, Sri-Lankan team should have been given a top-class security. Note that Sri-lankans traveled to Pakistan, despite the advice of not traveling to Pakistan. Sri-lankans showed their solidarity by traveling what did they get in return... Former cricketer Imran Khan noted that some irrelevant ministers have better security than the Sri-Lankan team.

The effects of this particular terror strike certainly will go beyond cricket for instance the stock-exchanges in Pakistan crashed fearing that all investments will dry up. The economy which is already in shambles will completely crash.

After this particular strike the opinion is converging to isolate Pakistan and declare is a terrorist state. My biggest fear is that once Pakistan might even be quarantined.

I dont know who planned and executed the terror strike (and it doesnt really matter), but I am sure they are not stupid that they cannot predict that the attack on visiting cricketers would result in a complete isolation of Pakistan on the international stage. If they still went ahead and executed the strikes, indicates that terror outfits want Pakistan to be isolated from outside influence. Perhaps an isolated Pakistan would be easier to tame into the fundamentalistic mentality of the terrorists outfits.

Pakistan is a country full of brave and talented people with a great deal of knowledge about the latest technology of all sorts. Leaving such a pool of knowledge and talented population in hands of the terrorists would only strengthen the terrorists and they will pose challenges of bigger surprise factor and magnitude would become more frequent.

After the shameful terror strikes if the we would leave Pakistan alone, then we will commit a crime of bigger magnitude. This is a time when Pakistan needs genuine support.

This support should not be in the form of money to the government but it should be provided in the form of intelligence and logistics support. When a country cannot provide proper security to a visiting cricket team, it means that basic concept of security is somehow messed up in the system. So the world should come forward to provide necessary training and equipments to the security personnel in Pakistan.

At the same time there should be more pressure on the so called democratic government to enforce the law from the United Nations, US or other countries including India. The government in Pakistan should evaluate the fear of the fundamentalist forces more seriously and rise above the short-term gains of retaining power and protect the freedom and honor of Pakistan.

My sincere hope is that Pakistan government will take this one instance of terror strikes seriously and the rest of the world will behave in a more responsible way and support Pakistan in controlling the terrorists organizations and we will see among other things, cricket resuming in the country.