Have gone ahead and done this for the bowlers too. The methodology here was to set ICC Ranking average as numerator, and multiply by MVP model score (which usefully adds in a nice away record consideration as well) and place the era adjusted bowling average as the denominator. The correlation is not as strong as for the batsmen ( just shy of .7 ), but it's still not bad. Inclusion of spinners only reduced that correlation by a negligible .01, so I feel comfortable including them, although they end up with very different residuals. I have to also account for the fact that all things are not equal ( i.e. spinners are used more in stock roles regardless of quality). So while these bowlers are sorted in the order of the original regression value, I made an adjustment based on the original residuals to slightly increase spinner averages (and very, very slightly decrease seamer ones). The final results look a bit more "realistic" for both bowler categories.
Bowler | Regression Adjusted Average | Actual Average | Delta |
Glenn Mcgrath | 21.42793 | 21.64 | -0.21207 |
Muttiah Muralitharan | 23.27961 | 22.72 | 0.559614 |
Dale Steyn | 21.77292 | 22.95 | -1.17708 |
Curtly Ambrose | 21.83116 | 20.99 | 0.841163 |
Richard Hadlee | 22.14589 | 22.29 | -0.14411 |
Malcolm Marshall | 22.36784 | 20.94 | 1.427839 |
Allan Donald | 22.42278 | 22.25 | 0.172784 |
Joel Garner | 22.79065 | 20.97 | 1.820645 |
Shaun Pollock | 22.99114 | 23.11 | -0.11886 |
Imran Khan | 23.56562 | 22.81 | 0.755615 |
Wasim Akram | 23.566 | 23.62 | -0.054 |
Shane Warne | 25.25136 | 25.41 | -0.15864 |
Vernon Philander | 23.60542 | 22.32 | 1.285421 |
Dennis Lillee | 23.74988 | 23.92 | -0.17012 |
Waqar Younis | 23.8438 | 23.56 | 0.283803 |
| | | |
| | | 0.3408 |
The average delta ended up being slightly positive ( meaning more of these players came from the somewhat more bowling friendly eras of the overall modern era).
Also, it turns out you can't square the circle of batting friendly conditions for SA bats, and bowling friendly ones for SA bowlers, unless you're a bowler like Philander who has a significantly worse record away (therein being hurt by the MVP model consideration). So Steyn ends up coming out as the only bowler with a negative delta magnitude over 1 .