The Concept...
Though there are various tables and numbers to rank a cricket team, there is no such concept as a chart or a plot of a team’s performance over time. The purpose of such a plot would be to evaluate the consistency of a cricket team: for example, even if India seem to be playing well against Sri Lanka right now, they have historically been a very inconsistent team. Alternately, even though Australia lost the Ashes to England this time, they have, over the last 5 - 6 years been the most consistent team in cricket.
The ICC, which stands for Indian Cricket Curve (or Indian Consistency Calculator) is a method I've developed to plot the performance of the Indian Cricket team, match-by-match. As of now, it is set up only for One-Day games. Four factors are taken into account while evaluating the ICCn, which is the ICC-number. They are:
1. Result – Whether the match was won or lost.
2. Margin of Victory/Defeat
The Net Run Rate or N.R.R. reflects both the above factors (Remember that it is positive for a victory and negative for a defeat). And in calculating the ICCn, instead of cumulating the NRR over an entire series, it is calculated for each individual match.
3. Relative Ranking Of the Opponent, which is defined as (Ranking of the opponent - Ranking of India), the ranking being evaluated according to the ICC rankings available here. The absolute value of the ranking is used in actual calculations as will be explained later.
4. Home/Away game: Whether the game was played in India or away.
This number is then plotted with time i.e. match number. I've started from the current India- Sri Lanka series, so the first match there is match #1.
The Formula...
The formula used to calculate the ICCn is designed to reflect the true nature of the result, as follows:
1. If India win against a lower ranked opponent, it is less valuable than a win against a higher ranked opponent; conversely, a loss against a lower ranked opponent causes more damage than a loss against a higher ranked opponent.
2. A win at home is worth less than a win away; conversely, a loss at home causes more damage than a loss away.
The exact formula depends on the relative ranking and nature of the result. There are four scenarios in this case. We start off with a number: 10 x NRR, and then modify it based on the relative ranking (REL, which is the absolute value) and on whether it’s a home or away game.
1. WIN against an opponent ranked LOWER than India, or LOSE to an opponent ranked HIGHER than India
- We want the ICCn to indicate that this result is not that that big a deal since India were expected to win (or lose, respectively) anyway. Therefore, the ICCn is reduced by a factor as follows:
ICCn = [10 x NRR] / [(REL + 1)/2]
2. WIN against an opponent ranked HIGHER than India or LOSE to an opponent ranked LOWER than India
- Not only is this a win (or a loss, respectively) but it’s a win (or a loss) against (or to) a higher (or lower) ranked opponent, making it a really GOOD (or BAD) result. The factor, 10 x NRR, is therefore further amplified:
ICCn = [10 x NRR] x [(REL + 1)/2]
And finally, to reflect home ground advantage, a loss at home or a win away multiplies the ICCn by a factor of 2. Otherwise, the ICCn stays as it is.
As an example, consider the following situation: As of now, Sri Lanka are ranked 4th, India 7th and Bangladesh 10th.
1. India WIN against Sri Lanka (REL = 3) with a NRR = 1.4:
Home Game: ICCn = [10 x 1.4] x [(3 + 1)/2] = 28
Away Game: ICCn = 28 x 2 = 56
2. India WIN against Bangladesh (REL = 3) with a NRR = 1.4:
Home Game: ICCn = [10 x 1.4] / [(3 + 1)/2] = 7
Away Game: ICCn = 7 x 2 = 14
3. India LOSE to Sri Lanka (REL = 3) with a NRR = - 1.4:
Away Game: ICCn = [10 x -1.4] / [(3 + 1)/2] = -7
Home Game: ICCn = -7 x 2 = -14
4. India LOSE to Bangladesh (REL = 3) with a NRR = - 1.4:
Away Game: ICCn = [10 x -1.4] x [(3 + 1)/2] = -28
Home Game: ICCn = -28 x 2 = -56
So, in the given situation, losing at home to Bangladesh is the worst that could happen (ICCn = -56) while winning away against Sri Lanka is the best (ICCn = 56).
The Curve...
All said and done, here's the ICC so far, calculated for the India - Sri Lanka series.
As you can see, the number dips below zero only once, when India lost in that 5th game, but even then, it wasn't a very bad loss. The first two games were absolute slaughter by India of a team ranked 3 places higher in the ICC rankings; hence the curve takes off!
The Future...
The curve will (hopefully) have more meaning as more and more results are added to it. I'll certainly continue to update this curve as I follow the exploits of India as they take on South Africa, who are ranked 5 places above India, next.
A few other things: even though the formula seems to have worked well in the Ind-SL series, I'd definitely modify it if it seems to give 'un-representative' numbers for other matches. We'll see! (Already, it's easy to spot a shortcoming in the formula, in that it gives ICCn = 0 for a tied game which doesn't seem correct. If India tie with Bangladesh, for example, it is a BAD performance. But those are rare circumstances and probably won't affect the overall curve much).
Future updates may include a curve for test matches and a Cumulative ICC (which seems more applicable but I haven't had time to come up with a suitable formula for it). And if anyone has the time or inclination to apply this curve for other countries, feel free to do so! Just refer this blog wherever you publish it.
Comments and suggestions welcome!
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