Archimedes 2010

[Racer26]

Originally Posted by Joe Ross

Similar to what I did in previous years, I ran through 200 simulated qualification match schedules (all 144 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.

Team	Avg Rnk	Med Rnk	Mod Rnk	SD Rnk	Min Rnk	Max Rnk	#1 seed	Top 8	Avg SS	Med SS	Stdv SS	Min SS	Max SS
25	2.17	1.5	1	1.70	1	11	100	198	256	256	18.96	198	307
33	4.585	4	2	3.34	1	18	22	179	234	233	22.23	178	291
254	4.25	3	1	3.65	1	21	39	175	235	238	21.97	165	279
1918	4.51	3	2	3.59	1	18	31	175	234	235.5	23.64	175	280
148	7.765	6	4	5.97	1	35	3	133	216	220.5	24.50	138	266
330	8.325	7	7	6.05	1	50	4	137	212	212.5	22.65	123	260
71	16.435	14.5	7	10.11	2	54	0	51	186	184	26.69	109	243
2062	17.11	14	11	10.26	2	44	0	45	184	185	27.31	125	255
997	16.21	14	10	9.53	1	51	1	47	186	186	24.94	120	251
359	16.125	15	10	9.31	2	54	0	43	186	185.5	25.69	112	265
1	16.1	14	7	10.11	2	56	0	49	186	188	26.72	105	268
118	16.145	13	10	9.79	2	50	0	44	187	189	26.10	113	248
1772	15.94	14	4	9.23	3	43	0	53	187	185	26.13	125	246
1629	16.965	14.5	11	9.96	3	60	0	36	184	186	25.28	111	240
201	16.275	14	11	9.72	2	51	0	41	185	188	26.35	116	257
70	16.64	15	8	9.18	3	51	0	37	184	185	24.60	113	251
1124	28.465	26	25	12.63	4	67	0	5	157	157.5	25.90	90	230
1519	27.405	25.5	19	12.76	4	61	0	5	159	159.5	26.56	95	229
341	27.235	26	22	12.19	4	64	0	6	159	159	25.31	99	232
3280	28.33	27	25	13.80	6	72	0	10	158	158	28.01	86	220
234	28.1	26	20	13.06	2	69	0	9	157	158.5	27.39	89	250
604	28.22	28	14	13.77	4	73	0	10	158	156	27.74	87	227
233	27.72	27	17	13.50	3	74	0	13	159	157	28.33	78	239
2753	26.685	25	19	12.00	3	66	0	10	160	160.5	25.50	97	237
103	27.095	25	31	13.46	4	74	0	6	160	162	27.61	73	222
86	27.3	25	25	13.49	4	62	0	10	160	160	28.06	91	223
45	28.36	26	31	13.17	4	64	0	5	156	158	26.02	92	232
190	26.665	25.5	27	12.42	4	67	0	10	160	161	26.05	90	226
1540	29.055	27.5	27	13.22	5	65	0	5	156	155.5	27.05	96	228
3256	28.11	28	15	12.66	4	66	0	7	157	156	26.25	86	232
1218	27.415	26	30	14.21	4	65	0	15	159	159	29.38	96	237
2574	28.415	27	15	13.16	5	60	0	9	157	156.5	25.93	104	219
1503	27.735	24	12	15.65	2	79	0	13	159	161.5	32.15	74	256
358	41.705	42	52	15.03	7	78	0	2	132	130	26.95	67	208
236	40.725	41	48	14.35	9	85	0	0	133	134	25.78	46	195
1612	43.24	42	42	14.81	13	79	0	0	129	128	26.07	75	187
527	42.85	41.5	35	15.09	10	83	0	0	129	129.5	27.02	51	196
3411	41.205	40	49	14.60	9	84	0	0	132	133	26.14	42	206
375	43.11	43	36	13.97	10	77	0	0	129	128	24.10	67	197
1647	40.435	39	36	15.80	8	81	0	2	134	133.5	27.86	61	206
1111	41.865	41	40	14.49	12	76	0	0	131	132	25.79	73	195
876	39.515	39	37	14.97	6	75	0	2	136	135.5	27.33	66	221
180	41.985	43	44	13.92	9	73	0	0	131	129.5	25.22	78	211
3357	43.685	43.5	21	16.20	8	79	0	1	128	128	28.00	70	212
122	40.65	40	49	15.18	8	84	0	1	133	132	27.15	60	201
3157	43.035	42	36	16.30	10	80	0	0	130	130.5	28.39	59	193
3025	39.5	39	35	14.44	10	77	0	0	136	134.5	25.89	73	202
555	57.435	58	53	14.43	15	85	0	0	104	101.5	24.66	38	181
2854	58.3	61	63	14.89	8	86	0	1	103	98	26.08	43	207
1987	56.35	57	61	14.91	12	86	0	0	105	104	26.13	35	186
159	58.69	59.5	59	13.74	19	86	0	0	102	101	24.85	33	179
3403	56.785	56	67	14.54	19	86	0	0	105	105	25.08	43	173
1622	55.38	56	73	15.42	17	84	0	0	107	107	26.87	50	177
1683	56.685	57	46	15.15	20	85	0	0	105	105	26.39	47	176
3059	54.815	55	74	15.49	14	85	0	0	109	108	26.36	48	179
329	57.33	60	70	16.51	9	84	0	0	104	101	28.94	47	196
1730	56.935	58	68	14.71	18	85	0	0	105	103	25.35	37	170
3360	57.48	58	72	15.71	12	85	0	0	103	105	27.75	50	190
3160	55.855	57	55	14.66	20	83	0	0	106	104	24.75	52	171
3008	56.635	56	60	15.62	21	86	0	0	105	106	27.03	39	168
2751	56.72	55.5	44	14.65	17	85	0	0	105	105.5	25.23	47	170
1153	58.045	61	67	14.55	16	84	0	0	103	99	25.40	50	191
3172	58.08	58	66	14.09	18	85	0	0	102	100	24.61	48	180
1319	55.93	56	52	15.34	10	85	0	0	107	108	27.09	43	211
155	59.26	60	72	14.89	25	85	0	0	100	99	25.89	41	166
1515	57.24	60	60	15.44	13	85	0	0	104	102	26.95	44	188
108	58.275	60	64	15.03	18	86	0	0	102	100	25.88	43	176
967	57.56	57	38	14.24	21	86	0	0	104	103.5	25.36	35	166
3389	71.885	74	81	10.72	33	86	0	0	77	77.5	22.29	30	147
1547	70.71	73	81	12.93	26	86	0	0	79	77	25.46	28	165
1418	70.24	72.5	83	12.36	33	86	0	0	79	78	24.67	30	149
2403	70.865	73	84	12.15	26	86	0	0	79	77.5	24.22	17	158
1817	70.02	73	74	12.30	23	86	0	0	81	79	24.21	26	160
2420	71.13	74	81	10.79	44	86	0	0	78	77.5	22.29	20	132
540	68.855	71.5	73	11.65	32	86	0	0	83	81	22.04	36	145
1596	69.775	73.5	77	12.55	30	86	0	0	81	76.5	23.93	33	150
41	70.405	72.5	70	11.56	34	86	0	0	80	79.5	22.67	24	140
2725	71.56	74	72	11.75	33	86	0	0	77	77	23.47	30	140
326	70.52	73	84	12.03	27	86	0	0	79	78	24.29	25	155
1583	70.145	72	84	11.95	19	86	0	0	80	80	23.59	36	173
269	70.415	74	83	13.56	26	86	0	0	80	78	26.91	15	162
176	71.45	74	71	11.70	31	86	0	0	77	76	23.16	23	146
1506	71.5	75	75	10.78	29	86	0	0	78	74	21.80	26	154
3196	79.615	82.5	86	7.71	50	86	0	0	57	56	21.36	16	123
1768	80.58	83	86	6.69	48	86	0	0	55	53	19.70	17	115
3339	70.18	74	82	11.99	20	86	0	0	80	78	23.00	25	167

Joe's statistics are interesting... on Curie, we have two teams that seeded top 8 200 out of 200 times. (1114 and 469).

Nobody on Arch has that statistic.

Also, our #1 seed is FAR less distributed, 1114 gets it 150 times, 469 gets it 49 times, and 573 getting it once.