Table 1

Client No	Score in year 1(x_i1)	Score in year 2 (x_i2)	U_i (1 if yr 1 score is higher than yr 2;0 if yr 1 same as yr 2;-1 if yr 1 is lower than yr2)	Rank of x_i1 (r_i1)	Rank of x_i2 (r_i2)	Diff. (r_i=r_i1-r_i2)	\|r_i\| .u_i	r_i²
1	A^–	F	1	K	K–1	1	1	1
2	A⁺	A^–	1	K	K–1	1	1	1
3	D	F	1	K	K–1	1	1	1
4	B	E	1	K	K–1	1	1	1
5	A^–	B	1	K	K–1	1	1	1
6	B	C⁺	1	K	K–1	1	1	1
7	F	F	0	K-0.5	K–0.5	0	0	0
8	A^–	B⁺	1	K	K–1	1	1	1
9	A^–	C	1	K	K–1	1	1	1
10	C⁺	A	-1	K–1	K	-1	-1	1
11	A⁺	B^–	1	K	K–1	1	1	1
12	E	D	-1	K–1	K	-1	-1	1
13	F	E	-1	K–1	K	-1	-1	1
14	B⁺	B⁺	0	K–0.5	K–0.5	0	0	0
15	A⁺	C⁺	1	K	K–1	1	1	1
Total						7	7	13

Table 1: Ranks assigned to the letter grades of example1 together with values of u_i (equation 2).