Selection.xlsx - CIMA Plenaries

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Competitors Selection Method

Description	Sample Distribution		My Method					Your method
	rank	country	#	selection process	country	rank		#	selection process	country	rank
	1	C1	1	we take the first comtetitor from the list basing on his rating. It is country 1 with rank 1	C1	1		1	2 best pilots from 8 best teams	C1	1
	2	C1	2	we ignore competitors from previous country until we will invite competitors from other countries with a rank number from 1 to 16. In this case, next competitor is from C2 with a rank 4	C2	4		2		C1	2
	3	C1	3	we ignore competitors from the first 2 countries and look for the 3rd county inside first 16 ranks. Here it is C3 with rank 9	C3	9		3		C2	4
	4	C2	4	we ignore previous 3 nations and look for the 4th nation inside first 16 ranks. Here it is C4 with rank 12	C4	12		4		C2	5
	5	C2	5	Attention!: we have no more new countries inside first 16 ranks. Now we start the search from the beginning and inviting second best pilots from nations that we previously ignored. In our list it is nation C1 with a rank 2	C1	2		5		C3	9
	6	C1	6	currently we ignore the 3rd best pilot from C1 and select the next nation. This is C2 with the rank 5	C2	5		6		C3	10
	7	C1	7	next nation - C3	C3	10		7		C4	12
	8	C1	8	Attention!: the 2nd best pilot from C4 has a rank 58. Now we are considering pilots at first from ranks 1-16 and than step by step from ranks 17-32. As there is no other C4 pilots in this range we are not selecting stcond pilot from C4 at this moment. Our next candidate - C5 with r19	C5	19		8		C4	58
	9	C3	9	as we still take one pilot from a nation inside the group of 17-32 ranks we ignore second pilot from C5 with r20 and invite C6 with r21	C6	21		9		C5	19
	10	C3	10	Next - C7	C7	23		10		C5	20
	11	C1	11		C8	29		11		C6	21
	12	C4	12		C9	31		12		C6	36
	13	C1	13	We'd like to invite C10 with r33 but the second range (17-32) is over and we have to start to choose 3rd pilots from countries that were higher in the list. This is C1 with r3	C1	3		13		C7	23
	14	C3	14	Next is not C2 r16 but C3 r14 because the rank of the 3rd best pilot in C3 is higher than the rank of 3ed best in C2.	C3	14		14		C7	38
	15	C1	15	Next C4 has a rank 58. We are not taking it because it is not inside the range that we consider now (first two ranges (1-16, 17-32) and third range (33-48)) and go to the next nation with high rank. This is C5 r20	C5	20		15		C8	29
	16	C2	16	Next consequtive strongest pilot inside the range (1-16, 17-32, 33-48) C10 r33	C10	33		16		C8	56
	17	C3
	18	C2		Nations	10				Nations	8
	19	C5		Average rank (the lower the better)		14.75			Average rank		21.4375
	20	C5
	21	C6
	22	C2
	23	C7		Comparison and arguments
	24	C3		If 16 nations were presented on the first 16 places of ranking, we would have compatitors from all 16 nations. As it is not so we are taking only the most experienced pilots from nations
	25	C2		My method will always select competitors with better avarage rating (exept one case in thousands when it will be equal to the rating from your method)
	26	C5		Nevertheless my rating do not rigidly defines the numer of participating nations - in case pilots from different nations are close to the top of the rating - we will have more competing nations. In case only few nations are dominating in the top we will have less nations. In any case this method will not allow to select weak second candidates from countries with strong firts candidate
	27	C2
	28	C1
	29	C8
	30	C1		Proposal for comparing the rankings from different classes
	31	C9		We propose to deal with ranks but not the scores
	32	C1		It is logical that the best pilots for the competition are the pilots with top ranks in the same (that the competition) class
	33	C10		We propose to combine 2 rankings as follows: first 8 places in the united ranking go to the same (as the competition) class. For places started from 9 the following logic is applied:
	34	C9		one pilot from a different class - one pilot from the same class.
	35	C10		Example	Same class, rating #	Different class, Rating #	United rating	#
	36	C6			s1	d1	s1	1
	37	C6			s2	d2	s2	2
	38	C7			s3	d3	s3	3
	39	C3			s4	d4	s4	4
	40	C2			s5	d5	s5	5
	41	C1			s6	d6	s6	6
	42	C11			s7	d7	s7	7
	43	C7			s8	d8	s8	8
	44	C7			s9	d9	d1	9
	45	C3			s10	d10	s9	10
	46	C7			s11	d11	d2	11
	47	C2			s12	d12	s10	12
	48	C11			s13	d13	d3	13
	49	C5			s14	d14	s11	14
	50	C6			s15	d15	d4	15
	51	C7			s16	d16	s12	16
	52	C7			s17	d17	d5	17
	53	C3			s18	d18	s13	18
	54	C12			s19	d19	d6	19
	55	C9			s20	d20	s14	20
	56	C8			s21	d21	d7	21
	57	C12			s22	d22	s15	22
	58	C4			s23	d23	d8	23
	59	C13			s24	d24	s16	24
	60	C8			s25	d25	d9	25
	61	C14			s26	d26	s17	26
	62	C7			s27	d27	d10	27
	63	C8			s28	d28	s18	28
	64	C10			s29	d29	d11	29
	65	C2			s30	d30	s19	30
	…	…

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