All these manages had at least 5 derbies, I'm discounting those like Dave Watson who only managed in 1.
Win %.
Royle: 40%
Catterick: 32%
Kendall: 26%
Harvey: 20%
Lee: 17%
Moyes: 16%
Britton: 14%
Smith: 12.5%
Bingham: 0%
Martinez: 0%
Loss %
Harvey: 60%
Britton: 57%
Moyes: 52%
Smith: 50%
Kendall: 45%
Bingham: 43%
Catterick: 40%
Lee: 33%
Martinez: 33%
Royle: 0%
Win %.
Royle: 40%
Catterick: 32%
Kendall: 26%
Harvey: 20%
Lee: 17%
Moyes: 16%
Britton: 14%
Smith: 12.5%
Bingham: 0%
Martinez: 0%
Loss %
Harvey: 60%
Britton: 57%
Moyes: 52%
Smith: 50%
Kendall: 45%
Bingham: 43%
Catterick: 40%
Lee: 33%
Martinez: 33%
Royle: 0%