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Unread 25-04-2011, 12:16
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Re: 2011 Newton Division

Similar to what I did in previous years, I ran through 100 simulated qualification match schedules (all 147 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
148	71.24	7.13	4.5	2	7.8	42	1	15	76	17.04	18	18	2.41	20	10
1503	65.43	8.6	6	3	7.7	36	1	14	64	16.49	16.5	18	2.38	20	10
525	64.08	9.6	7.5	2	8.3	37	1	9	55	16.27	16	16	2.46	20	10
217	61.01	11.09	10	2	8.8	54	1	7	44	15.73	16	16	2.39	20	8
234	58.70	9.68	7	6	8.1	38	1	8	58	16.31	16	18	2.30	20	11
2415	57.92	11.26	10.5	1	8.0	37	1	10	43	15.8	16	16	2.39	20	10
25	57.04	12.68	10	7	9.2	39	1	5	43	15.4	16	16	2.54	20	10
1538	55.88	10.46	8	4	9.2	48	1	5	54	16.06	16	18	2.49	20	8
1730	54.08	14.78	12.5	4	10.1	41	1	2	33	14.96	14.5	14	2.62	20	10
11	48.94	17.28	16	12	11.2	50	1	5	26	14.43	14	14	2.61	20	8
2122	47.49	18.78	15.5	5	13.7	57	1	4	27	14.29	14	14	3.08	20	8
1676	46.38	19.72	17	14	14.1	65	1	2	23	14.02	14	14	3.06	20	6
27	46.29	22.02	20	9	14.4	65	1	2	17	13.56	14	14	3.16	20	6
3138	45.36	21.01	21	22	11.4	53	1	2	15	13.69	14	12	2.57	20	8
624	45.21	21.58	18.5	11	13.3	52	2	0	20	13.62	14	16	2.86	20	8
78	43.85	21.82	19	10	13.7	64	2	0	16	13.49	14	14	2.81	18	6
88	42.90	22.14	17	14	15.9	68	1	3	17	13.55	14	16	3.33	20	6
16	41.77	23.23	19	17	15.0	62	1	2	14	13.37	14	14	3.11	20	6
3284	41.26	22.64	20	26	13.9	69	2	0	11	13.45	14	14	2.83	20	6
1732	41.15	22.11	19	19	14.9	77	2	0	16	13.54	14	14	2.94	20	4
179	40.88	22.65	19	11	15.5	78	3	0	13	13.46	14	14	3.07	20	4
233	40.32	23.07	19	4	16.8	81	1	2	17	13.45	14	14	3.31	20	5
2848	40.01	24.77	22	20	13.8	53	2	0	12	12.92	14	14	2.89	20	8
836	39.89	25.44	22	28	15.8	73	1	1	12	12.93	14	14	3.06	19	5
494	39.87	26.31	25	23	14.6	66	2	0	13	12.81	12	12	3.07	20	6
340	36.95	28.87	24.5	21	16.8	68	2	0	8	12.35	12	12	3.16	18	6
337	35.40	28.15	27	29	13.7	77	1	1	4	12.39	12	12	2.67	20	4
1731	35.03	29.15	28	40	15.1	66	1	1	9	12.24	12	12	3.00	20	6
3547	33.77	28.98	26	21	15.2	78	4	0	3	12.16	12	12	2.86	18	4
302	31.40	33.64	32	25	13.6	66	6	0	3	11.41	12	12	2.43	18	6
2046	28.17	40.58	41	41	16.0	80	12	0	0	10.29	10	10	2.76	16	4
2481	28.08	40.92	39.5	27	20.1	86	2	0	6	10.23	10	10	3.61	20	2
2809	27.79	37.71	35	30	17.5	76	6	0	2	10.82	12	12	3.11	18	4
2338	27.62	38.01	35.5	29	17.6	76	2	0	3	10.7	11.5	12	3.08	18	4
3009	26.11	40.16	38.5	32	17.3	86	3	0	4	10.45	10	8	3.22	18	2
1100	25.93	40.06	41	51	17.5	84	5	0	2	10.48	10	8	3.13	18	3
842	25.14	38.93	39	39	17.0	80	5	0	2	10.61	10	10	2.98	18	4
386	24.47	43.77	43.5	53	18.5	85	9	0	0	9.79	10	8	3.20	16	2
1108	23.34	41.85	40.5	41	16.4	84	10	0	0	10.13	10	10	2.89	16	2
3483	22.56	43.02	41.5	34	18.1	83	7	0	1	10	10	12	3.31	18	4
811	21.83	44.79	44	44	17.3	84	6	0	1	9.71	10	10	2.90	18	2
1511	21.49	45	45	40	17.7	87	14	0	0	9.72	10	8	3.04	16	0
1710	21.07	47.45	48.5	54	18.2	83	8	0	1	9.27	8.5	8	3.06	16	2
3456	19.80	45.14	45	54	18.6	83	4	0	2	9.82	10	8	3.18	18	4
2614	19.70	44.54	42	41	18.6	82	5	0	1	9.72	10	10	3.34	18	2
447	17.94	46.86	46.5	31	18.0	86	7	0	3	9.42	10	10	3.17	18	2
3536	15.47	54.76	56.5	68	17.5	85	23	0	0	8.32	8	6	2.96	14	2
228	15.06	52.46	54	46	19.6	88	5	0	1	8.65	8	8	3.42	18	0
3103	14.82	51.74	52.5	58	18.0	86	5	0	2	8.74	8	8	3.13	18	2
3344	14.52	51.64	54	54	18.4	84	13	0	0	8.7	8	8	3.15	16	2
980	14.12	50.82	51	49	18.7	87	4	0	1	8.83	8	8	3.26	18	2
236	14.04	53.4	54.5	53	17.4	86	13	0	0	8.41	8	8	2.97	16	2
3792	13.95	54.35	54	44	18.0	87	9	0	0	8.26	8	6	3.14	18	2
79	13.31	55	55	59	17.5	87	6	0	1	8.17	8	8	3.10	18	0
2039	13.03	52.27	51.5	47	17.8	85	4	0	1	8.67	8	10	3.10	18	2
2437	12.45	57.58	57.5	54	16.1	87	11	0	0	7.88	8	6	2.69	16	2
1764	11.31	59.11	60.5	68	14.1	87	13	0	0	7.62	8	8	2.41	15	2
1604	8.83	59.74	62	56	17.3	87	9	0	0	7.68	8	8	2.98	16	2
2797	8.27	57.82	59.5	73	17.6	88	16	0	0	7.92	8	8	3.11	16	0
2974	7.55	60.54	65	72	17.9	88	11	0	0	7.4	7.5	6	3.16	16	0
3880	6.48	63.27	67	67	16.6	88	19	0	0	7	6	6	2.88	16	0
2815	5.09	61.6	62	61	15.6	88	22	0	0	7.42	8	8	2.71	14	2
2264	4.89	65.21	68	46	15.6	87	28	0	0	6.84	6	6	2.69	12	2
1942	4.81	61.37	61	58	15.7	88	24	0	0	7.33	8	8	2.82	14	0
3358	4.64	65.18	68.5	47	16.7	87	23	0	0	6.65	6	8	3.03	14	2
3612	4.45	61.92	62	88	18.0	88	13	0	0	7.18	8	8	3.30	16	0
1502	4.28	61.22	64	72	16.8	87	15	0	0	7.42	8	6	2.98	16	0
3242	3.77	66.78	71	83	16.1	88	22	0	0	6.57	6	6	2.83	13	2
2342	3.62	64.81	70	70	15.7	88	21	0	0	6.91	6	6	2.78	14	2
3748	3.21	63.91	67	72	15.8	88	23	0	0	7.05	6	6	2.69	14	0
2662	3.20	62.01	63	76	16.8	87	24	0	0	7.36	8	8	2.97	14	2
2655	3.16	68.3	70.5	82	14.4	88	29	0	0	6.29	6	6	2.61	13	0
3622	2.98	67.7	71	71	14.9	88	29	0	0	6.35	6	6	2.63	12	0
1984	2.84	66.52	69	60	15.0	88	28	0	0	6.52	6	6	2.79	12	0
2197	2.66	62.52	65.5	82	17.6	88	18	0	0	7.16	7	6	3.20	14	0
3126	2.50	68.47	70.5	86	15.0	88	36	0	0	6.1	6	6	2.90	12	0
3478	1.33	68.93	72	86	15.3	88	31	0	0	6.06	6	8	2.96	12	0
2080	0.56	65.71	71	71	17.9	88	13	0	0	6.66	6	6	3.23	16	0
353	0.37	68.54	73	61	15.0	87	31	0	0	6.26	6	6	2.78	12	2
1829	-0.01	69.79	74	86	15.1	88	21	0	0	6.12	6	6	2.92	14	0
3521	-0.53	71.66	74	85	13.0	88	35	0	0	5.74	6	6	2.56	12	0
1165	-0.59	68.66	73.5	84	17.3	88	29	0	0	6.01	6	4	3.23	12	0
1801	-1.16	69.05	72.5	79	15.9	88	23	0	0	6.18	6	6	2.94	14	0
3278	-1.98	70.25	73	85	14.2	88	32	0	0	5.96	6	4	2.69	12	0
3505	-2.07	70.45	74.5	88	14.7	88	29	0	0	6	6	6	2.86	12	0
2660	-2.31	69.74	74	88	15.3	88	32	0	0	5.92	6	6	2.98	12	0
1195	-2.42	69.79	75	88	15.6	88	23	0	0	6.03	6	4	2.93	14	0
3472	-5.76	73.98	76.5	88	13.4	88	39	0	0	5.31	5.5	4	2.80	12	0