# Is Shakib Al Hasan a greater allrounder than Garry Sobers?

And does R Ashwin rank higher than Imran Khan? A comprehensive analysis of the numbers reveals all

**Allrounder Index**=

Batting Index (25 points) +

Bowling Index (25 points) +

All-round Contribution per Test Index (20 points) +

All-round Impact Index (20 points) +

All-round High Impact Index (10 points)

**Batting Index**

Since I am a strong proponent of the Weighted Batting Average, I will use that value to determine the Batting Index. Overall I want the top score on any of the above parameters to be around 90% of the maximum points available. Hence, a maximum of 25 points will be allotted for a WBA of 57.5. The WBA for Sobers is 51.47, the highest in this group of 51 players. His Batting Index is 22.4, which is quite close to 90%.

**Bowling Index**

Since the bowling average is, arguably, the strongest of player measures, I will use that value to determine the Bowling Index. Here I will use Ganesh's suggestion, suitably tweaked. Since I have used the WBA, which produces lower numbers than the batting average, and I am normalising to a lower value, I will use 500 as the numerator. This will provide the maximum of 25 points for a bowling average of 20.0. The bowling average for Richard Hadlee is 22.30 - the lowest in this group. This leads to a Bowling Index of 22.4, matching the batting maximum.

**Contribution per Test Index**

This recognises the contribution the player made in each Test he played, in terms of runs and wickets. I have used a simple method of deriving the base value: "Runs scored + 25 * Wickets taken". The maximum of 20 points will be allotted to a Contribution per Test (CpT) value of 180. A big surprise here: R Ashwin has the highest CpT value of 165, which results in an Index value of 18.3. This method ensures that the value realised is a fair indicator of the player's contribution whether he is a bowling or batting allrounder. He could make up for one with the other.

**All-round Impact Index**

The All-round Impact Index is based on the player's performance in individual Tests. The player might have delivered a true all-round performance in a game (scored 75-plus runs and taken three or more wickets). Alternatively, he might have provided a batting-centric performance (scored 100-plus runs and taken two or more wickets), or he might have provided a bowling-centric performance (scored 50-plus runs and taken four or more wickets). If he scored fewer than 50 runs or took fewer than two wickets, it is fair that he is not deemed to have made an all-round impact. The number of such instances of all-round performance is divided by the total number of matches played to derive an AR Impact percentage. This is a better method of working than looking at the frequency value, which could go quite high for low numbers of matches played. An AR Impact per cent of 45.0 realises the highest value of 20 points. Shakib has achieved the feat in 23 of the 57 Tests he has played in, which gives him an Impact percent of 40.4 and an All-round Impact Index of 17.9, the highest.

**High Impact Index**

Some of the All-round Impact performances are virtually once-in-a-lifetime performances. Hence these are recognised separately. A very high bar is set for this. To qualify, the player should have scored 100-plus runs and taken four or more wickets in a Test. There is only one batsman who has crossed 100 runs per Test over his career, Don Bradman. (Steven Smith is almost there.) Only five batsmen have even crossed 90 runs per Test. Only 64 bowlers have taken four wickets per Test. A High-Impact per cent of 17.5 leads to the highest value of ten points. Shakib has achieved this in nine out of the 57 Tests he has played in. Hence the High-Impact Index value is 9.0 for him.

2. The wickets, represented by stumps, are shown in the top half of the graphs and the runs, grouped in rounded ten-run segments (33 displays as three segments and 47 as 5), at the bottom.

3. The AR Impact Tests - 75r/3w or 100r/2w or 50r/4w are shown as black squares.

4. The High-Impact Tests - 100r/4w are shown as blue squares.

5. The best performance of the player, in terms of the contribution he made, is highlighted by a double line connecting the batting and bowling sides of the graph.

6. The career of each player is split into three equal parts and the Mean Wickets and Mean Runs for each career segment are represented by the line that runs across batting and bowling parts horizontally. This will let the reader understand how the career progressed. The career segments have widely varying number of Tests. But that cannot be helped.

**Conclusion**

I will say with conviction that the parameters for this analysis have worked very well. The top three allrounders - Shakib Al Hasan, Garry Sobers and Aubrey Faulkner - stand over 10% clear of Keith Miller. They surely deserve their places. And let us not hesitate to give Shakib the respect he deserves, especially considering he plays for a relatively weak team.

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Anantha Narayanan has written for ESPNcricinfo and CastrolCricket and worked with a number of companies on their cricket performance ratings-related systems