RallyIQ

ATP · Right-handed · 2 charted matches · 2014–2019

Tobias Kamke

Shot expected value

The share of points Tobias Kamke goes on to win after each option in the positions they face most often, shrunk toward tour average when the sample is small. Showing the 8 most-used options; teal marks the best one with at least 30 shots.

Rally, shots 5–8: drive to your backhand side

position worth 46% to the average player · 46 shots

OptionUsedWin %Tour
BH crosscourt 57% 46.8%±12.1 47.6%
BH through the middle 30% 52.2%±14.1 43.7%

Rally, shots 5–8: drive to your middle

position worth 51% to the average player · 44 shots

OptionUsedWin %Tour
FH through the middle 30% 43.6%±14.2 47.0%
BH through the middle 27% 57.4%±14.4 46.8%

Rally, shots 5–8: drive to your forehand side

position worth 44% to the average player · 39 shots

OptionUsedWin %Tour
FH crosscourt 59% 44.9%±12.5 46.6%
FH through the middle 26% 44.3%±14.9 41.5%

Serve under pressure

Deuce court

1st serveUsageBreak ptWon when in
Wide 38% 75% ▲ 72% / 73%
Body 22% 0% ▼ 63% / 63%
T 40% 25% ▼ 77% / 75%

73 normal · 4 break-point 1st serves

Ad court

1st serveUsageBreak ptWon when in
Wide 28% 23% 71% / 73%
Body 44% 46% 64% / 63%
T 28% 31% 73% / 72%

57 normal · 13 break-point 1st serves

Is the serve mix in equilibrium?

Game theory says a well-mixed server wins equally often with every direction they use. If one direction wins more, it's underused and points are being left behind. This is the minimax test Walker and Wooders ran on Wimbledon finals, applied to every charted first serve. Win rates include faults. "Optimal" allows for returners reading a habit. No measurable response (−0.05 ± 0.15 points per 100 serves for every 10 points of habitual usage), measured from ATP servers whose mix drifted between matches. Shifts stay within the range servers' habits actually vary, the only range that response was measured over.

Deuce court

1st serveUsagePoints won
Wide40% 61.4%±10.3 n=31
Body21% 61.4%±11.8 n=16
T39% 60.5%±10.4 n=30

Consistent with an optimal mix (p = 0.99).

Ad court

1st serveUsagePoints won
Wide27% 67.0%±11.0 n=19
Body44% 63.3%±10.2 n=31
T29% 67.4%±10.9 n=20

Consistent with an optimal mix (p = 0.75).

Return by serve direction

Return points won against each serve direction, compared with the tour average.

ServeCourtDirectionPointsWonvs tour
1stAd courtBody 10 35% −1.7±12.4
1stAd courtT 10 34% +5.5±12.3
1stAd courtWide 27 35% +8.2±10.4
1stDeuce courtBody 14 32% −4.9±11.6
1stDeuce courtT 21 28% +3.4±10.4
1stDeuce courtWide 18 27% +0.2±10.6
2ndAd courtBody 10 47% −2.3±13.0
2ndAd courtT 3 51% +1.6±14.3
2ndAd courtWide 10 46% −2.1±13.0
2ndDeuce courtBody 12 52% +2.7±12.7
2ndDeuce courtT 8 50% +0.1±13.3
2ndDeuce courtWide 3 50% +1.7±14.3

Charted matches