Evolutionary Biological Data Science Laboratory

Year-based EM′-index by citations

The Year-based EM′-index by citations (Bihari and S. Tripathi 2018) is an adapation of the Year-based EM-index by citations which includes all years rather than just those in the initial core. It is calculated just like the Year-based EM′-index by citations, except with a EM′-index style modification.

Example

Years are ordered by number of citations received that year, from highest to lowest. After each step, E_i is subtracted from the citations of the top E_i years. The yearly data is then resorted from high to low for each subsequent step.

Year (yi)	2001	2000	1999	1998	1997
Citations received in year (Ci)	61	40	29	13	2
Rank (i)	1	2	3	4	5
				E1 = 4
Adjusted Citations (Ci)	57	36	25	9	2
New Rank (i)	1	2	3	4	5
				E2 = 4
Adjusted Citations (Ci)	53	32	21	5	2
New Rank (i)	1	2	3	4	5
				E3 = 4
Adjusted Citations (Ci)	49	28	17	2	1
New Rank (i)	1	2	3	4	5
			E4 = 3
Adjusted Citations (Ci)	46	25	14	2	1
New Rank (i)	1	2	3	4	5
			E5 = 3
Adjusted Citations (Ci)	43	22	11	2	1
New Rank (i)	1	2	3	4	5
			E6 = 3
Adjusted Citations (Ci)	40	19	8	2	1
New Rank (i)	1	2	3	4	5
			E7 = 3
Adjusted Citations (Ci)	37	16	5	2	1
New Rank (i)	1	2	3	4	5
			E8 = 3
Adjusted Citations (Ci)	34	13	2	2	1
New Rank (i)	1	2	3	4	5
		E9 = 2
Adjusted Citations (Ci)	32	11	2	2	1
New Rank (i)	1	2	3	4	5
		E10 = 2
Adjusted Citations (Ci)	30	9	2	2	1
New Rank (i)	1	2	3	4	5
		E11 = 2
Adjusted Citations (Ci)	28	7	2	2	1
New Rank (i)	1	2	3	4	5
		E12 = 2
Adjusted Citations (Ci)	26	5	2	2	1
New Rank (i)	1	2	3	4	5
		E13 = 2
Adjusted Citations (Ci)	24	3	2	2	1
New Rank (i)	1	2	3	4	5
		E14 = 2
Adjusted Citations (Ci)	22	2	2	1	1
New Rank (i)	1	2	3	4	5
		E15 = 2
Adjusted Citations (Ci)	20	2	1	1	0
New Rank (i)	1	2	3	4	5
		E16 = 2
Adjusted Citations (Ci)	18	1	1	0	0
New Rank (i)	1	2	3	4	5
	E17 = 1
Adjusted Citations (Ci)	17	1	1	0	0
New Rank (i)	1	2	3	4	5
	E18 = 1
Adjusted Citations (Ci)	16	1	1	0	0
New Rank (i)	1	2	3	4	5
	E19 = 1
Adjusted Citations (Ci)	15	1	1	0	0
New Rank (i)	1	2	3	4	5
	E20 = 1
Adjusted Citations (Ci)	14	1	1	0	0
New Rank (i)	1	2	3	4	5
	E21 = 1
Adjusted Citations (Ci)	13	1	1	0	0
New Rank (i)	1	2	3	4	5
	E22 = 1
Adjusted Citations (Ci)	12	1	1	0	0
New Rank (i)	1	2	3	4	5
	E23 = 1
Adjusted Citations (Ci)	11	1	1	0	0
New Rank (i)	1	2	3	4	5
	E24 = 1
Adjusted Citations (Ci)	10	1	1	0	0
New Rank (i)	1	2	3	4	5
	E25 = 1
Adjusted Citations (Ci)	9	1	1	0	0
New Rank (i)	1	2	3	4	5
	E26 = 1
Adjusted Citations (Ci)	8	1	1	0	0
New Rank (i)	1	2	3	4	5
	E27 = 1
Adjusted Citations (Ci)	7	1	1	0	0
New Rank (i)	1	2	3	4	5
	E28 = 1
Adjusted Citations (Ci)	6	1	1	0	0
New Rank (i)	1	2	3	4	5
	E29 = 1
Adjusted Citations (Ci)	5	1	1	0	0
New Rank (i)	1	2	3	4	5
	E30 = 1
Adjusted Citations (Ci)	4	1	1	0	0
New Rank (i)	1	2	3	4	5
	E31 = 1
Adjusted Citations (Ci)	3	1	1	0	0
New Rank (i)	1	2	3	4	5
	E32 = 1
Adjusted Citations (Ci)	2	1	1	0	0
New Rank (i)	1	2	3	4	5
	E33 = 1
Adjusted Citations (Ci)	1	1	1	0	0
New Rank (i)	1	2	3	4	5
	E34 = 1

The sum of the 34 E values is 61. The Year-based EM′-index by citations is the square-root of this sum, thus Yc_EM′ = 7.8102.

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