Table 3.

Statistics of mean rating improvement from the initial to the final rating iterations, for all raters and setups, in all the respective simulations

Rater–setup	Init. rate	Last rate	Abs. impr.	Rel. impr.
${\text{R}}_1$
${\text{S}}_1$
Rhythm	5.63 (2.69)	9.20 (0.67)	3.57 (1.53)	0.93 (1.47)
Tone	5.88 (2.70)	9.11 (1.01)	3.29 (1.24)	0.63 (0.39)
${\text{S}}_2$
Rhythm	5.87 (2.55)	9.17 (0.68)	3.30 (1.44)	0.66 (0.45)
Tone	5.72 (2.97)	9.15 (1.14)	3.55 (1.28)	0.68 (0.37)
${\text{S}}_3$
Rhythm	5.95 (2.55)	9.25 (0.78)	3.30 (1.43)	0.64 (0.45)
Tone	5.84 (2.94)	9.23 (1.02)	3.39 (1.30)	0.63 (0.36)
${\text{S}}_4$
Rhythm	5.51 (2.77)	9.00 (1.05)	3.51 (1.65)	0.82 (0.74)
Tone	6.04 (2.81)	9.33 (0.69)	3.30 (1.11)	0.58 (0.27)
${\text{R}}_2$
${\text{S}}_1$
Rhythm	2.80 (1.79)	6.59 (1.59)	3.78 (1.37)	1.56 (0.92)
Tone	3.31 (2.23)	7.25 (1.38)	4.00 (1.40)	1.34 (0.70)
${\text{S}}_2$
Rhythm	3.10 (1.78)	6.82 (1.51)	3.72 (1.36)	1.43 (0.85)
Tone	3.32 (2.00)	6.76 (1.80)	3.55 (1.60)	1.16 (0.79)
${\text{S}}_3$
Rhythm	3.02 (1.93)	6.86 (1.48)	3.84 (1.15)	1.63 (1.28)
Tone	3.32 (2.14)	7.49 (1.49)	4.17 (1.51)	1.36 (0.81)
${\text{S}}_4$
Rhythm	3.28 (1.89)	6.79 (1.65)	3.51 (1.41)	1.29 (0.95)
Tone	3.21 (2.12)	6.91 (1.56)	3.81 (1.35)	1.31 (0.70)
${\text{R}}_3$
${\text{S}}_1$
Rhythm	1.86 (1.21)	5.11 (1.44)	3.25 (1.25)	1.93 (0.94)
Tone	2.18 (1.52)	5.17 (1.45)	3.01 (1.47)	1.57 (1.06)
${\text{S}}_2$
Rhythm	1.88 (1.22)	4.71 (1.37)	2.83 (1.06)	1.84 (1.36)
Tone	2.07 (1.44)	4.95 (1.60)	2.93 (1.38)	1.56 (1.04)
${\text{S}}_3$
Rhythm	1.78 (1.19)	4.76 (1.40)	2.98 (1.13)	1.86 (1.09)
Tone	1.98 (1.47)	4.67 (1.52)	2.69 (1.21)	1.47 (0.88)
${\text{S}}_4$
Rhythm	2.02 (1.18)	4.88 (1.32)	2.87 (1.19)	1.73 (1.48)
Tone	2.16 (1.48)	5.24 (1.43)	3.12 (1.34)	1.58 (0.89)
${\text{R}}_4$
${\text{S}}_1$
Rhythm	0.78 (0.54)	2.36 (0.93)	1.59 (0.82)	2.40 (1.81)
Tone	0.99 (0.65)	2.71 (0.93)	1.74 (0.84)	1.94 (1.18)
${\text{S}}_2$
Rhythm	1.87 (1.20)	4.44 (1.41)	2.59 (1.13)	1.67 (1.23)
Tone	2.18 (1.39)	4.69 (1.85)	2.64 (1.62)	1.31 (0.93)
${\text{S}}_3$
Rhythm	1.87 (1.24)	4.69 (1.46)	2.83 (1.10)	1.70 (0.89)
Tone	2.25 (1.53)	4.96 (1.46)	2.73 (1.27)	1.30 (0.73)
${\text{S}}_4$
Rhythm	1.95 (1.20)	4.97 (1.42)	3.02 (1.24)	1.85 (1.40)
Tone	2.24 (1.49)	5.28 (1.63)	3.11 (1.45)	1.52 (0.91)