Archimedes 2009

[Joe Ross]

Similar to what I did last year, I ran through 200 simulated qualification match schedules (all 102 matches, using the FIRST match generator). I used each team's average opr for their contribution to a match. I calculated the standings for each of the 200 simulated qualification schedules, and then looked at some statistics from the aggregate results.

When I went back and looked at last year's data, a team finished within 1 standard deviation of their average seed 60% of the time, and within 2 standard deviations 95% of the time. Only 3 teams seeded higher/lower then their min/max seed.

Team  Avg Seed	Median	Mode	StDev	Min	Max	#1 seed	Top 8
2056	5.3	3	1	6.5	1	46	56	163
2753	9.6	7	1	9.3	1	59	22	122
1218	9.9	6.5	1	9.7	1	78	25	117
1114	9.7	7	1	9.4	1	64	24	118
624	13.0	9	6	11.5	1	65	12	92
231	16.0	12	4	13.4	1	62	6	75
155	16.8	13.5	7	13.5	1	63	6	75
2587	18.8	15	15	14.1	1	66	6	43
343	16.9	14	9	13.1	1	78	6	63
118	19.2	15.5	11	14.9	1	79	4	54
222	21.0	17	4	15.4	1	69	2	43
201	18.3	15	8	14.0	1	66	4	65
125	18.3	13	8	14.8	1	75	5	69
1421	23.0	20	12	15.2	1	78	1	34
558	26.8	23	10	17.4	1	73	1	24
280	26.3	23	16	17.1	1	81	1	26
868	25.5	23	27	16.7	1	80	3	31
61	24.2	20	29	16.2	1	69	3	36
1649	27.5	24.5	10	17.3	2	79	0	21
1503	29.0	25	22	17.0	1	76	1	17
585	28.2	27	47	16.0	1	82	1	19
1712	28.8	26	18	18.6	2	80	0	31
503	31.4	30	36	18.4	1	78	2	22
3062	31.2	29.5	32	18.9	1	80	2	19
1561	33.9	32	44	18.5	2	75	0	15
604	34.6	31	48	20.8	1	84	1	17
488	32.8	30	31	19.5	1	80	1	18
692	34.5	32	19	19.2	1	78	1	12
180	35.3	33	34	19.8	2	80	0	16
2415	38.1	36.5	49	17.7	2	82	0	5
1341	40.1	40	29	18.8	2	87	0	9
2915	40.6	40.5	34	18.3	3	85	0	5
1807	40.1	41	42	19.7	2	79	0	7
2826	40.8	40	51	18.0	2	80	0	2
107	41.3	38.5	22	19.9	2	84	0	8
1538	41.8	43	48	17.6	2	84	0	3
533	42.0	42	48	19.4	4	85	0	5
48	41.7	40.5	18	18.9	2	84	0	3
548	42.1	43.5	63	19.9	1	87	1	10
1986	44.3	43.5	45	18.6	3	82	0	1
1746	44.7	41	35	20.0	1	84	1	2
665	42.6	42	24	20.3	3	84	0	7
2075	45.0	44	36	20.4	2	83	0	6
176	46.9	50	51	19.6	3	87	0	3
1266	45.8	47	67	20.2	7	85	0	3
3009	46.6	47	47	20.7	3	85	0	7
573	46.6	46.5	44	19.2	6	85	0	5
931	46.5	48	48	20.0	1	84	1	6
93	46.8	47	68	19.1	4	85	0	3
714	49.7	50	39	18.8	8	86	0	1
2220	49.8	50.5	60	19.1	3	87	0	2
1334	49.5	51	39	20.2	7	85	0	2
1002	51.6	53.5	70	19.0	8	87	0	2
1302	48.3	50	63	18.4	4	86	0	3
2543	52.0	53	52	19.5	6	86	0	2
2169	48.8	49.5	54	18.6	1	86	1	1
39	50.1	50.5	36	20.3	4	87	0	4
1535	50.6	52	71	18.9	9	85	0	0
1014	48.1	51	35	20.6	3	85	0	6
2354	47.6	50	39	20.4	3	87	0	3
2848	51.1	52	39	20.5	3	87	0	3
3091	51.4	53	66	19.8	3	87	0	3
1390	55.2	58.5	62	18.6	2	87	0	3
2813	55.2	56.5	36	18.7	5	87	0	1
2874	54.7	57	57	19.6	6	86	0	2
2470	57.5	62	69	20.1	8	87	0	1
2655	57.4	59	71	18.2	8	86	0	1
857	60.5	63	72	16.8	9	86	0	0
314	61.8	64.5	81	17.8	18	87	0	0
1592	58.4	61	72	20.0	3	87	0	3
1739	63.4	69	81	17.8	10	87	0	0
1555	64.4	67.5	81	15.7	16	87	0	0
433	65.6	70	70	15.9	13	87	0	0
386	65.5	69	84	16.3	11	87	0	0
2340	66.3	70.5	80	16.0	20	87	0	0
1743	64.2	68.5	72	16.5	17	87	0	0
3020	67.9	72	72	15.4	18	87	0	0
1987	68.3	73	85	15.5	11	87	0	0
1834	68.7	72.5	86	15.3	14	87	0	0
120	69.2	72	72	14.5	11	87	0	0
811	71.1	76	86	15.2	20	87	0	0
353	73.5	77	86	13.7	18	87	0	0
2070	74.3	77	87	12.6	36	87	0	0
2486	73.5	78	87	13.7	34	87	0	0
2779	76.1	81	87	12.2	23	87	0	0
1289	77.2	79.5	87	10.8	21	87	0	0
492	79.5	83	87	8.5	43	87	0	0