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Unread 23-04-2011, 13:08
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Re: 2011 Galileo Division

Similar to what I did in previous years, I ran through 100 simulated qualification match schedules (all 148 matches, using the FIRST match generator). I used each team's highest opr at any event for their contribution to a match. I calculated the standings for each of the 100 simulated qualification schedules, and then looked at some statistics from the aggregate results.

Code:
Team	OPR	Avg Rnk	Med Rnk	Mod Rnk	SD Rnk	Max Rnk	Min Rnk	#1 seed	Top 8	Avg QP	Med QP	Mode QP	StdevQP	Max QP	Min QP
111	73.92	5.68	4	1	6.6	43	1	31	81	17.57	18	18	2.15	20	10
1114	71.88	5.96	3	2	7.0	36	1	15	83	17.48	18	18	2.27	20	10
254	71.59	5.39	3.5	2	4.9	25	1	16	82	17.55	18	18	2.01	20	12
48	56.18	15.94	12	16	13.8	66	1	6	39	14.78	15	16	3.11	20	6
341	55.71	11.31	8	3	9.2	42	1	4	52	15.79	16	16	2.54	20	10
1985	55.65	12.14	8	7	10.9	53	1	5	53	15.71	16	18	2.68	20	8
2137	53.35	15.44	13	9	10.7	50	1	2	26	14.75	16	16	2.46	20	8
359	51.85	16.46	11.5	10	13.8	66	1	5	34	14.79	16	16	3.17	20	6
967	50.98	17.16	15	10	12.2	50	1	4	29	14.54	14	16	2.99	20	8
469	50.56	18.29	14.5	13	12.3	52	1	3	23	14.15	14	14	2.72	20	8
935	47.66	17.78	16	24	11.2	65	1	1	22	14.19	14	16	2.52	18	6
399	45.99	21.9	17	12	14.9	66	2	0	17	13.53	14	14	2.90	18	6
294	45.80	19.24	16	11	12.3	57	2	0	18	14.03	14	14	2.69	20	8
1218	45.52	21.73	19.5	27	13.0	59	2	0	15	13.46	14	14	2.76	20	7
63	45.52	20.55	18	12	14.1	66	1	1	20	13.93	14	16	2.85	20	7
973	43.66	22.93	19.5	19	14.5	66	2	0	14	13.37	14	14	2.91	20	6
610	42.84	25.36	24	27	15.5	67	2	0	13	12.91	12.5	12	3.00	20	6
2337	42.48	25.93	24.5	9	16.7	69	1	2	15	12.85	13	14	3.22	20	6
1056	42.46	24.56	22	40	15.0	65	2	0	14	13.12	14	14	3.02	20	6
548	42.42	24.7	23.5	15	13.9	67	1	1	10	13.12	13	14	2.80	20	6
40	40.63	23.91	21	12	16.5	77	2	0	16	13.17	14	12	3.18	20	4
1425	38.44	26.66	25	13	15.5	81	3	0	12	12.72	12	12	2.92	18	4
1868	37.73	27.74	23	22	17.3	83	1	2	9	12.54	14	14	3.29	20	4
1885	37.59	28.43	26	39	16.1	68	4	0	7	12.4	12	12	2.91	18	6
395	37.48	32.4	29	29	18.9	80	3	0	13	11.73	12	12	3.45	18	4
1771	36.86	28.8	28	21	16.3	74	3	0	12	12.34	12	14	3.12	20	5
1334	36.82	30	26	23	17.6	86	2	0	5	12.21	12	14	3.32	20	2
694	36.60	29.14	27	18	14.9	64	4	0	10	12.29	12	14	2.82	18	6
195	35.83	29.09	28.5	38	14.6	80	2	0	5	12.26	12	12	2.78	20	4
175	35.26	33.55	32.5	53	17.6	80	5	0	6	11.52	12	10	3.16	18	4
1086	34.92	31.78	33	27	17.1	70	2	0	12	11.91	12	10	3.27	20	6
292	33.35	34.93	33	31	15.6	77	8	0	1	11.36	12	12	2.87	18	4
230	32.28	35.27	31.5	27	18.5	85	2	0	4	11.27	12	12	3.43	20	2
1714	32.14	34.46	30.5	28	17.0	85	4	0	2	11.34	12	12	3.01	18	2
70	31.59	36.92	37	40	15.9	76	1	1	1	10.88	11	12	2.86	20	4
1197	31.29	35.07	34.5	30	17.3	79	3	0	2	11.24	12	12	3.05	18	4
1098	31.01	37.47	35	41	18.2	80	2	0	4	10.87	12	12	3.19	18	4
476	30.34	36.13	34	12	17.7	85	5	0	3	11.23	12	12	3.24	18	2
1429	30.08	34.33	31	39	17.3	82	1	1	2	11.41	12	12	3.15	20	4
295	28.86	36.33	36	36	17.6	84	2	0	4	11.21	11.5	12	3.29	20	2
188	27.99	42.66	42	53	16.6	84	7	0	2	10.04	10	10	3.03	18	2
1305	26.52	40.01	38.5	34	17.7	86	3	0	4	10.54	10	10	3.17	18	2
3824	25.86	42.17	42	32	18.1	87	8	0	1	10.24	10	12	3.24	18	2
93	24.95	41.87	38.5	28	17.0	81	9	0	0	10.21	10	12	2.76	16	4
281	23.85	45.87	46.5	56	16.6	82	12	0	0	9.58	10	8	2.74	15	4
173	20.05	48.08	47	47	16.1	85	12	0	0	9.33	10	10	2.79	16	2
3393	18.41	50.99	54.5	58	18.4	85	11	0	0	8.95	8	8	3.11	16	2
1816	15.60	49.97	50.5	54	17.6	87	13	0	0	9.16	9	8	2.87	16	3
2073	15.60	56.9	59	68	17.1	85	20	0	0	8.01	8	6	2.93	14	2
433	15.45	54.66	55.5	65	17.3	86	18	0	0	8.26	8	8	2.98	15	2
2199	13.01	58.04	58	47	16.7	88	13	0	0	7.79	8	10	2.96	15	0
3504	12.07	60.58	61	67	15.9	88	11	0	0	7.32	8	8	2.76	16	2
3464	12.05	58.33	58	48	17.1	87	15	0	0	7.7	8	8	3.01	14	1
3487	11.86	57.24	58	69	17.9	87	11	0	0	7.94	8	10	3.08	16	2
2472	11.78	59.98	62	79	18.4	88	13	0	0	7.4	7.5	6	3.22	16	0
3729	11.63	60.49	60	78	16.5	88	17	0	0	7.29	8	8	3.11	14	0
2607	11.30	63.5	64.5	78	15.4	88	22	0	0	6.94	7	8	2.76	14	0
1099	11.01	56.64	58	78	16.3	87	11	0	0	8.14	8	8	2.80	16	0
1188	10.75	59.63	60.5	60	18.7	87	4	0	1	7.57	8	10	3.32	18	2
1094	10.12	60.57	60	60	16.8	87	21	0	0	7.46	8	10	2.99	14	1
1646	10.09	57.44	58	68	16.4	87	18	0	0	8.03	8	6	2.84	14	0
1522	10.08	60.15	62	62	17.1	88	15	0	0	7.49	8	8	3.11	14	0
884	9.71	57.12	59	49	17.5	88	11	0	0	8.01	8	8	3.04	16	2
3574	7.34	61.13	64	73	19.6	88	8	0	1	7.31	8	8	3.52	18	0
1557	7.12	63.29	64	83	14.3	87	16	0	0	7.05	7	6	2.62	15	2
3374	6.79	59.68	60	66	17.3	87	21	0	0	7.53	8	8	3.10	14	2
357	6.68	62.17	64	71	15.4	88	16	0	0	7.14	7.5	8	2.74	14	0
751	6.64	64.79	68	74	17.7	88	19	0	0	6.71	6	6	3.24	14	0
1266	6.52	62.73	66.5	69	18.2	88	4	0	1	7.13	6	6	3.35	18	0
1706	6.21	63.02	65	81	17.1	88	12	0	0	7.12	8	6	3.11	16	0
3711	5.99	64.35	67.5	62	17.1	88	15	0	0	6.77	6	6	3.23	16	0
1288	5.75	62.41	65	36	17.4	88	22	0	0	7.1	6.5	6	3.17	13	0
159	5.24	67.09	70.5	88	17.2	88	15	0	0	6.31	6	6	3.19	15	0
1444	5.14	65.92	68	61	15.2	88	23	0	0	6.67	6	6	2.88	14	0
3397	4.82	67.17	69.5	73	14.8	88	15	0	0	6.37	6	6	2.77	16	0
3645	4.38	67.01	69.5	72	14.0	88	34	0	0	6.43	6	6	2.60	12	2
3588	3.72	66.94	71	81	15.6	88	32	0	0	6.49	6	8	2.88	12	0
329	3.56	69.34	72	72	14.5	88	35	0	0	5.99	6	6	2.90	12	0
3526	3.02	66.54	70	54	16.6	88	16	0	0	6.48	6	6	3.10	14	0
999	2.87	68.78	71	70	14.0	88	32	0	0	6.17	6	6	2.68	12	0
3528	2.79	69.08	72.5	85	13.9	88	31	0	0	6.04	6	6	2.67	12	0
3527	1.59	69.66	73	84	14.1	88	24	0	0	6.01	6	6	2.71	13	0
3466	0.36	72.22	77	88	14.5	88	25	0	0	5.51	5.5	4	2.83	14	0
1212	-0.45	72.58	75.5	86	12.9	88	42	0	0	5.43	6	6	2.68	10	0
3132	-0.65	72.83	75.5	85	12.5	88	34	0	0	5.57	6	6	2.48	12	0
1700	-2.74	76.83	78.5	87	10.2	88	46	0	0	4.86	4	6	2.32	10	0
151	-4.18	72.66	76.5	88	12.9	88	33	0	0	5.65	6	4	2.65	12	0
3750	-5.61	74.03	77	88	13.1	88	31	0	0	5.24	6	6	2.83	12	0