Rating players in test match cricket

Figures & data

Table 1 Batting scorecard for first test, India against Australia in India in October 2010

Australia batting scorecard			India batting scorecard
Players	First innings	Second innings	Players	First innings	Second innings
SR Watson	126	56	G Gambhir	25	0
SM Katich	6	37	V Sehwag	59	17
RT Ponting ^‡	71	4	R Dravid	77	13
MJ Clarke	14	4	I Sharma	18	31
MEK Hussey	17	28	SR Tendulkar	98	38
MJ North	0	10	SK Raina	86	0
TD Paine^†	92	9	MS Dhoni^‡,^†	14	2
MG Johnson	47	3	Harbhajan Singh	0	2
NM Hauritz	9	9	Z Khan	6	10
BW Hilfenhaus	20^*	6	VVS Laxman	2	73^*
DE Bollinger	0	5^*	PP Ojha	0^*	5^*
Extras	26	21	Extras	20	25
Total	428	192		405	216
Wickets	10	10		10	9

^*denotes a not-out innings.

^†wicket keeper.

^‡team captain.

Table 2 Session-by-session scorecard for match in Table 1

	Day 1			Day 2			Day 3			Day 4			Day 5
Session	At lunch	At tea	End	At lunch	At tea	End	At lunch	At tea	End	At lunch	At tea	End	At lunch	At tea
Lead	101	179	224	295	390	318	237	148	23	123	188	160	53	−1
W1	1	3	5	6	8	10	10	10	10	13	16	20	20	20
W2	0	0	0	0	0	2	3	4	10	10	10	14	18	19

W₁ is Australia total wickets down at end of session and W₂ is India total wickets down at end of session.

Table 3 Best fitting multinomial logistic regression model at each stage, and showing Nagelkerke R² and number of matches used to estimate the model

Day	Session	Model	Nagelkerke R^2(in percentage)	Number of matches
Day 1	At lunch	G+L+W1	24.4	146
	At tea	G+L+W1	32.3	146
	End of day	G+L+W1	39.6	146
Day 2	At lunch	G+L+W1+W2	44.0	146
	At tea	G+L+W1+W2	53.4	146
	End of day	G+L+W1+W2	56.7	146
Day 3	At lunch	G+L+W1+W2	60.7	146
	At tea	G+L+W1+W2	66.5	146
	End of day	G+L+W1+W2	72.7	143
Day 4	At lunch	G+L+W1+W2	74.8	131
	At tea	L+W1+W2	74.2	122
	End of day	L+W1+W2	80.5	111
Day 5	At lunch	L+W1+W2	84.0	91
	At tea	L+W1+W2	94.9	76

Covariates here are L, lead of reference team; G, ground effect; W₁, total wickets down by reference team; W₂, total wickets down by opponents.

Table 4 The fitted parameter estimates for each session of the match with covariates lead (L), total wickets down by reference team (W₁), total wickets down opposing team (W₂) and ground effect (G)

		Win/draw					Loss/draw
		Constant	G	L	W1	W2	Constant	G	L	W1	W2
Day 1	Lunch	2.719	−3.485	−0.009	−0.062	—	1.839	−4.977	−0.012	0.504	—
	Tea	1.977	−3.830	−0.004	0.196	—	1.042	−5.345	−0.007	0.578	—
	End	2.566	−3.815	−0.005	0.139	—	2.551	−4.952	−0.012	0.394	—
Day 2	Lunch	2.562	−3.712	−0.003	0.027	0.161	3.454	−5.648	−0.012	0.263	−0.119
	Tea	−0.262	−3.766	0.001	0.183	0.236	0.447	−5.585	−0.011	0.496	−0.146
	End	0.126	−4.238	0.001	0.050	0.310	0.656	−5.414	−0.010	0.300	0.037
Day 3	Lunch	−1.461	−4.467	0.002	0.129	0.298	−0.932	−5.957	−0.010	0.393	0.052
	Tea	−2.990	−4.661	0.004	0.067	0.485	−3.334	−4.620	−0.009	0.421	0.179
	End	−6.920	−4.288	0.002	0.260	0.583	−6.100	−4.947	−0.010	0.669	0.088
Day 4	Lunch	−8.926	−3.404	0.003	0.168	0.759	−7.823	−4.690	−0.012	0.695	0.124
	Tea	−9.260	—	0.003	0.176	0.569	−8.690	—	−0.015	0.899	−0.341
	End	−11.614	—	−0.001	0.323	0.554	−16.800	—	−0.025	1.370	−0.330
Day 5	Lunch	−20.321	—	−0.007	0.617	0.759	−23.964	—	−0.031	1.653	−0.223
	Tea	−130.711	—	−0.025	5.896	1.154	−404.939	—	−0.302	24.858	−4.288
	End	−130.711	—	−0.025	5.896	1.154	−404.939	—	−0.302	24.858	−4.288

Figure 1 For individual players: (a) total batting points (not lose criterion) versus runs in the match; (b) total wicket-taking points (not lose criterion) versus wickets share; (c) total batting points (win criterion) versus runs in the match; (d) total wicket-taking points (win criterion) versus wickets share; 1 (win), 0 (draw), −1 (loss) from point of view batting and bowling team; respectively (104 matches).

Table 5 Player contributions in the third Ashes test, Australia versus England, Perth, 2010

	Runs	Wickets share	Run outs (fielding)	Catches (fielding)	Fielding share	Batting points	Wicket-taking points	Fielding points	Total points	Rank
Australia
Watson	108	0	0	2	0.5	0.42	0.00	0.04	0.46	3
Hughes	14	0	0	0	0	0.06	0.00	0.00	0.06	20
Ponting(*)	13	0	0	2	0.5	0.01	0.00	0.04	0.05	21
Hussey	177	0	0	2	0.5	0.53	0.00	0.02	0.55	2
Clarke	24	0	0	0	0	0.10	0.00	0.00	0.10	18
Smith	43	0	0	2	0.5	0.15	0.00	0.03	0.18	12
Haddin(+)	60	0	0	3	0.75	0.11	0.00	0.06	0.16	14
Johnson	63	8	0	0	0	0.15	0.51	0.00	0.66	1
Harris	4	7.5	0	0	0	0.01	0.40	0.00	0.41	4
Siddle	43	1	0	0	0	0.13	0.09	0.00	0.21	9
Hilfenhaus	13	0.75	0	0	0	0.04	0.07	0.00	0.10	16
England
Strauss(*)	67	0	0	1	0.25	0.26	0.00	0.03	0.28	6
Cook	45	0	0	1	0.25	0.15	0.00	0.02	0.17	13
Trott	35	0	0	0	0	0.06	0.00	0.00	0.06	19
Pietersen	3	0	0	0	0	0.00	0.00	0.00	0.00	22
Collingwood	16	0.75	0	3	0.75	0.04	0.02	0.04	0.10	17
Bell	69	0	0	2	0.5	0.19	0.00	0.01	0.20	10
Prior(+)	22	0	0	1	1	0.04	0.00	0.07	0.11	15
Swann	20	1.5	0	2	0.5	0.03	0.13	0.02	0.18	11
Tremlett	3	7	0	0	0	0.01	0.40	0.00	0.41	5
Anderson	3	3.25	0	1	0.25	0.00	0.23	0.02	0.24	7
Finn	3	4	0	0	0	0.00	0.24	0.00	0.24	8
substitute	0	0	0	0	0	0.00			0.00

Table 6 Ashes series 2010/2011: Players in rank order of total contribution, batting and wicket taking (bowling and fielding)

Players	Country	Batting contribution	Wicket-taking contribution	Fielding contribution	Adjusted wicket-taking contribution	Adjusted fielding contribution	Total net contribution	Rank
Cook	England	0.885	0.000	0.106	0.000	0.059	0.944	1
Anderson	England	0.031	1.400	0.063	0.774	0.035	0.840	2
Hussey	Australia	0.791	0.000	0.048	0.000	0.027	0.818	3
Swann	England	0.039	0.932	0.110	0.515	0.061	0.615	4
Strauss	England	0.528	0.000	0.149	0.000	0.082	0.610	5
Tremlett	England	0.005	0.950	0.000	0.525	0.000	0.530	6
Johnson	Australia	0.200	0.602	0.000	0.333	0.000	0.533	7
Watson	Australia	0.434	0.107	0.077	0.059	0.043	0.536	8
Siddle	Australia	0.089	0.491	0.002	0.271	0.001	0.361	9
Pietersen	England	0.232	0.133	0.164	0.074	0.091	0.396	10
Finn	England	0.001	0.650	0.032	0.359	0.018	0.378	11
Prior	England	0.061	0.000	0.528	0.000	0.292	0.353	12
Haddin	Australia	0.322	0.000	0.069	0.000	0.038	0.360	13
Trott	England	0.257	0.000	0.124	0.000	0.069	0.326	14
Bresnan	England	0.005	0.515	0.000	0.285	0.000	0.290	15
Bell	England	0.287	0.000	0.014	0.000	0.008	0.295	16
Harris	Australia	0.010	0.426	0.000	0.235	0.000	0.245	17
Hilfenhaus	Australia	0.095	0.192	0.007	0.106	0.004	0.205	18
Collingwood	England	0.059	0.075	0.156	0.041	0.086	0.187	19
Clarke	Australia	0.163	0.000	0.010	0.000	0.006	0.169	20

Table 7 Raw player contributions for 2010 test series between India and South Africa in India, first test match

	Batting contribution		Wicket-taking contribution			Batting contribution		Wicket-taking contribution
South Africa	Runs	Points	Wickets (bowling + fielding)	Points	India	Runs	Points	Wickets (bowling + fielding)	Points
Smith	6	0.005	0.25	0.026	Gambhir	13	0.004	0	0.000
Boucher ( + )	39	0.007	0.75	0.048	Vijay	36	0.008	0.25	0.011
Amla	253	0.187	0	0.000	Sehwag	125	0.081	0.75	0.010
Kallis	173	0.152	1	0.097	Tendulkar	107	0.022	0	0.000
Prince	0	0.000	0.25	0.026	Bedrinith	62	0.048	0.25	0.003
Duminey	9	0.003	0.25	0.030	Saha	36	−0.023	0	0.000
de villiers	53	0.030	0.25	0.023	Dhoni ( + )	31	0.013	0.25	0.021
Harris	0	0.000	3.5	0.299	Mishra	0	0.000	0.25	0.002
Pernell	0	0.000	2.5	0.224	H Singh	47	−0.016	1.75	0.048
Steyn	0	0.000	9.25	0.878	Z Khan	35	−0.024	2.5	0.153
Morkel	0	0.000	2	0.168	Sharma	0	0.000	0	0.000
Substitute	0	0.000	0	0.000	Substitute	0	0.000	0	0.000
Extras	25				Extras	60
Match total	558	0.384	20	1.819	Match total	552	0.114	6	0.249

South Africa won by an innings and 6 runs.

Table 8 Raw player contributions for 2010 test series between India and South Africa in India, second test match

	Batting contribution		Wicket-taking contribution			Batting contribution		Wicket-taking contribution
South Africa	Runs	Points	Wickets (bowling + fielding)	Points	India	Runs	Points	Wickets (bowling + fielding)	Points
Smith	24	0.023	0	0.000	Gambhir	25	0.018	0	0
Petersen	121	0.079	0.5	0.019	Vijay	7	0.005	0	0
Amla	237	0.101	0	0.000	Sehwag	165	0.199	0	0
Kallis	30	0.030	0.5	0.031	Tendulkar	106	0.144	0	0
Prince	24	0.007	0.25	0.018	Bedrinith	1	0.001	0.25	0.023
Duminey	6	0.001	0.75	0.053	Laxman	143	0.048	0.25	0.018
de villiers ( + )	15	0.026	0.75	0.029	Dhoni ( + )	132	0.034	1	0.073
Harris	5	0.002	0.75	0.053	Mishra	28	0.023	3.75	0.340
Pernell	34	0.032	0	0.000	H Singh	0	0.000	7.5	1.753
Steyn	6	0.011	1	0.071	Z Khan	0	0.000	4.5	0.273
Morkel	23	0.025	1.5	0.070	Sharma	0	0.000	2.5	0.583
substitute	0	0.000	0	0.000	Karthik (sub)	0	0.000	0.25	0.083
Extras	61				Extras	36
Match total	586	0.338	6	0.344	Match total	643	0.473	20	3.146

India won the match by an innings and 57 runs.

Table 9 Total adjusted player contributions for the 2010 test series between India and South Africa in India (top 10 players)

Country	Player	Wickets (bowling+fielding)	Runs	Adjusted contribution points	Rank
India	H Singh	9.25	47	0.430	1
South Africa	Amla	0	490	0.288	2
India	Sehwag	0.75	290	0.282	3
South Africa	Steyn	10.25	6	0.240	4
South Africa	Kallis	1.5	203	0.209	5
India	Tendulkar	0	213	0.167	6
India	Sharma	2.5	0	0.143	7
India	Mishra	4	28	0.104	8
India	Z Khan	7	35	0.101	9
South Africa	Pernell	2.5	34	0.089	10

Table 10 Batting, wicket taking and net player contributions (points) for 104 matches in 2010, 2011 and 2012

Player	Country	Raw			Contribution			Points			Rank
		Runs	Bowling share	Fielding share	Batting	Bowling	Fielding	Batting	Wicket taking	Total
DW Steyn	South Africa	381	109.25	3.83	0.52	6.27	0.19	396.46	3628.10	4024.57	1
GP Swann	England	593	102.75	11.83	0.79	7.00	0.62	649.85	3247.09	3896.94	2
MJ Clarke	Australia	3120	10.75	12.75	3.10	0.80	0.72	3200.41	651.23	3851.64	3
JM Anderson	England	276	100.75	7.00	0.27	5.93	0.53	270.26	3008.72	3278.98	4
M Morkel	South Africa	277	87.25	2.25	0.36	4.96	0.33	312.72	2894.34	3207.06	5
HM Amla	South Africa	2678	0.00	6.33	2.71	0.00	0.39	2859.11	217.43	3076.54	6
JH Kallis	South Africa	2148	20.25	11.50	1.67	1.08	0.65	2115.72	939.87	3055.58	7
SCJ Broad	England	794	76.75	1.50	0.97	4.77	0.04	878.90	2132.11	3011.00	8
AN Cook	England	2664	0.00	8.08	2.83	0.00	0.51	2592.61	218.97	2811.59	9
HMRKB Herath	Sri Lanka	442	88.25	3.75	0.93	3.60	0.15	555.51	2189.52	2745.03	10
MEK Hussey	Australia	2317	4.00	11.00	2.58	0.32	0.57	2239.66	451.16	2690.82	11
KC Sangakkara	Sri Lanka	2336	0.00	2.50	2.42	0.00	0.45	2534.22	150.07	2684.30	12
AB de Villiers	South Africa	2073	0.00	14.33	2.00	0.00	0.84	2220.27	461.68	2681.94	13
Saeed Ajmal	Pakistan	191	75.00	2.25	0.23	4.75	0.11	241.17	2357.11	2598.29	14
RT Ponting	Australia	2234	0.00	9.00	2.80	0.00	0.47	2312.36	239.48	2551.84	15
MJ Prior	England	1749	0.00	25.42	2.15	0.00	1.61	1799.75	729.51	2529.26	16
GC Smith	South Africa	1815	0.00	11.75	2.10	0.00	0.61	2079.49	443.99	2523.48	17
KP Pietersen	England	2383	4.75	5.50	2.48	0.14	0.34	2287.78	224.46	2512.24	18
PM Siddle	Australia	328	65.00	3.00	0.44	4.29	0.12	412.50	2082.17	2494.67	19
IJL Trott	England	2177	2.00	4.75	1.90	0.52	0.30	2175.08	280.40	2455.48	20
PP Ojha	India	80	74.25	2.25	0.06	4.70	0.12	69.32	2329.51	2398.83	21
V Sehwag	India	2158	5.75	6.50	2.05	0.36	0.42	2010.56	373.50	2384.06	22
VD Philander	South Africa	267	61.75	0.75	0.46	2.68	0.05	289.09	2076.79	2365.88	23
R Ashwin	India	567	58.50	0.75	0.54	3.63	0.03	490.39	1717.50	2207.89	24
MS Dhoni	India	1629	0.00	24.50	1.52	0.00	1.49	1478.99	695.85	2174.84	25
Harbhajan Singh	India	601	48.50	2.25	0.48	4.13	0.15	508.93	1575.95	2084.89	26

Table 11 2 × 2 cross-classification table for 104 test matches in 2010–2012 played by the top eight teams (30 drawn matches are ignored), classified by actual man of the match (MOM) on winning or losing side and highest rated player on winning or losing side

	Actual MOM award
	On winning team	On losing team	Total
Highest rated player
On winning team	57	0	57
On losing team	15	2	17
Total	72	2	74