SELECT BLOG
August 9, 2013

## A measure for the strength of a Test team

Kartikeya Date
What does India's batting strength of 306 in Mohali tell you about the side?  © BCCI
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Cricket is notoriously conservative when it comes to measuring performance. Batting average, bowling average, and less frequently bowling strike rate, are possibly the only commonly used measures of cricketing performance. In this post, I describe a measure of team strength in Test cricket. I will describe the basic structure of this measure but hope you will see that more specialised measures can be derived using this basic idea. I have calculated these proposed strength measures for all Test matches since 1877. After describing these measures, I look at how these strength measures perform as predictors of results. I hope this basic idea will help some of you to develop better measures, either by building on this, or by using this as an example of what not to do!

The strength of a Test team is given by batting strength divided by bowling strength. The batting strength is the total that a given XI is expected to score based on their career batting averages at the start of the game. The bowling strength is the total an XI is expected to concede based on two things - the bowlers' career records at the start of the game, and the share of the bowling of individual bowlers in that game. Higher batting strength is better, while lower bowling strength is better.

I will start with an example. India's XI for its recent Test against Australia in Mohali was: Shikhar Dhawan, M Vijay, Cheteshwar Pujara, Virat Kohli, MS Dhoni, Bhuvneshwar Kumar, Ravindra Jadeja, Sachin Tendulkar, R Ashwin, Pragyan Ojha and Ishant Sharma.

Batting strength

The batting strength of a team for a given Test match is the total it would produce in a completed innings if its 11 batsmen made the exact number of runs indicated by their respective batting averages at the start of the match. In other words, it is the average of the 11 batting averages multiplied by 10 (since a completed innings involves ten wickets). The Indian team in my example would have a batting strength of 306.

It would have a "batting experience" figure of 528. This is the total number of dismissals that the 11 batsmen in the team have been in. It is calculated as shown in the following table. "Average" gives each player's batting average at the start of the Test Match. "Ave-Sum" gives the sum of the batting averages for the 11 players:

 Player Aggregate Dismissal Average Ave-Sum Batting strength Bhuvneshwar Kumar 48 2 24.0 24.0 306 Cheteshwar Pujara 1017 15 67.8 91.8 Batting experience Ishant Sharma 450 44 10.2 102 528 MS Dhoni 4151 104 39.9 141.9 M Vijay 792 23 34.4 176.4 Pragyan Ojha 86 7 12.3 188.7 Ravindra Jadeja 38 3 12.7 201.3 R Ashwin 600 15 40.0 241.3 Shikhar Dhawan 0 0 0.0 241.3 Sachin Tendulkar 15746 290 54.3 295.6 Virat Kohli 1032 25 41.3 336.9

Bowling strength

Bowling strength is trickier to measure because there is no fixed quota for each bowler, like there is for batsmen. A bowler can bowl as many overs as the captain would like him to, whereas a batsman can only bat twice in a Test. Not all 11 players are required to bowl, while all 11 players bat. The bowling strength of a team is measured by weighing two bowling statistics - runs conceded in career and wickets taken in career - for each player in the XI at the start of a Test match against that player's bowling share in the Test match. Bowling experience is the weighted sum of wickets taken by the 11 players. For example, the bowling strength of the Indian team, or the number of runs they will concede in taking ten wickets, in my example is 327 (the sum of the weighted runs conceded, divided by the sum of the weighted wickets, multiplied by 10). The bowling experience figure is 73.

At the start of the Mohali Test, Ishant Sharma had bowled 9519 deliveries in his Test career, conceded 5317 runs and taken 138 wickets. The first three columns, "BB", "RC" and "W" give Ishant's bowling in the Mohali Test. This is used to calculate his share of the bowling. In Mohali, Ishant bowled 16.9% of the deliveries bowled by India. This is shown by "B-Share". The next two columns, "W-RC" and "W-W", give a weighted score for runs conceded by Ishant in his career and wickets taken by him in his career.

 Player BB RC W Career BB Career RC Career W B-share W-RC W-W Bowling strength Ishant Sharma 234 106 3 9519 5317 138 0.169 897.0 23.3 327 Pragyan Ojha 294 144 4 6718 3004 95 0.212 636.8 20.1 Experience R Ashwin 449 169 4 4687 2344 81 0.324 758.8 26.2 73 Sachin Tendulkar 12 2 0 4186 2459 45 0.009 21.3 0.4 Ravindra Jadeja 284 112 6 1026 326 14 0.205 66.8 2.9 Bhuvneshwar Kumar 114 75 3 204 112 3 0.082 9.2 0.2 MS Dhoni 0 0 0 78 58 0 0 0 0 Virat Kohli 0 0 0 66 35 0 0 0 0 Cheteshwar Pujara 0 0 0 0 0 0 0 0 0 M Vijay 0 0 0 0 0 0 0 0 0 Shikhar Dhawan 0 0 0 0 0 0 0 0 0

Strength

The strength of a Test team for a given Test can only be calculated at the end of the Test, even though it does not include any runs or wickets scored or taken during the Test. It can, however, be estimated if one can surmise how the bowling will be shared among the team's bowlers. This can be done by looking up scorecards for Tests played by the same bowling combination in similar conditions.

The strength of the Indian team in my example is 306 divided by 327, which is 0.937. Having a strength figure greater than 1 is significant. It means that a team is expected to score more runs than it conceded.

Historically the team with the higher strength has won 67% of Tests that did not end in a draw. When a team with strength greater than 1 has played a team with strength less than 1, the former has won 71% of Tests that didn't end in a draw. The charts that follow are based on calculating these measures for all Tests since 1877. They provide a picture of how the three strength measures relate to the results of Test matches.

© Kartikeya Date
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© Kartikeya Date
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© Kartikeya Date
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© Kartikeya Date
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© Kartikeya Date
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Kartikeya Date writes at A Cricketing View and tweets here

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Keywords: Stats

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Posted by JoshFromJamRock on (August 11, 2013, 8:41 GMT)

A formula for a great team is 7 batsmen and 4 bowlers. Team selectors with this goal in mind are bound to reap success. WI isn't doing this. If they were, the team and 13-man squad would look something like this: 1)Gayle 2)Barath 3)Samuels 4)Chanderpaul 5)Sarwan 6)Darren Bravo 7)Ramdin 8)Rampaul 9)Shillingford 10)Roach 11)Best with guys like Narine and Edwards kept in the mix. No allrounder in WI is ready for tests. Apart from AUS (Watson), BD (Shakib) and SA (Kallis) no other team has an acceptable one for tests anyway. You just need a good batsman who can bowl tight overs when called upon, WI already have Samuels to do that job. But despite thousand of fans like me making sensible suggestions like this the selectors don't seem to care. We could easily be #4 in the world right now behind South Africa, England and India. Bits & pieces players wont work in tests; it works only for T20s and sometimes ODIs. You dont win a test match by outscoring your opponent but by taking 20 wkts.

Posted by kartikeya on (August 11, 2013, 2:34 GMT)

All, Thank you for your comments. I'll try and respond in a couple of points:

1. This model for measuring 'strength' gives an expected value of strength. The evidence shows that this expected value can predict results on average 2 times out of 3 (other than draws). It is obviously the case that sometimes new players perform to a very high level. The model will catch up to the consequences of these performances - first, players who perform well will keep getting selected and gain more experience, second, they'll have good records which will contribute to the team's strength measures in the future.

2. I've posted a slideshow on my blog (the link is available at the end of the post) showing the progression of batting strength, bowling strength and strength for all teams from 1989 to 2013.

3. I've considered weighing form and conditions. The trade of is between getting a reasonable number of games, and a relevant sample of games

Posted by Westmorlandia on (August 10, 2013, 19:00 GMT)

It's a useful guideline. Getting a really accurate assessment of strength would probably require far too much difficult stuff - weighting by the teams the players faced in the past, and the conditions (sub-continent vs New Zealand, say).

Also, career averages might be misleading - Jimmy Anderson's bowling average has only just come down below 30 because his career didn't start very well, but it's around 25 for the last few years, which is a more useful number to assess strength with. But how do you weight for this?

Posted by ahilan9999 on (August 10, 2013, 12:47 GMT)

Batting strength method is good. Bowling strength method can be improved. Analysis should be based on bowling averages. Using career wickets taken to determine the strength of team gives minimal weighting to Jadeja and Bhuvneshwar who are two key bowlers. In the example given, Indias bowling strength is effectively the bowling strength of Ishant, Ojha and Ashwin. Also we would want to know the strength of the team before the start of the test match. Hence bowling share should be based on overs bowled per match by each bowler in career to date.

Posted by siddhartha87 on (August 10, 2013, 11:55 GMT)

Interested to see this for the Aussie Juggernaut XI.The team is - 1. Hayden 2.Langer 3.Ponting 4.Martyn 5.Clarke 6.Hussey 7.Gilchrist 8.warne 9.Lee 10.Gillespie 11.Mcgreth

Posted by gtr800 on (August 9, 2013, 19:27 GMT)

Nice method! I guess this works best for an experienced team but for an inexperienced team you really cannot predict based on the new-comers what's going to happen. Also, pitches probably play a massive role in deciding the outcome so maybe one could seperately calculate batting strength or bowling strength based on the country where it is played.

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