Outcome measure	3 months	6 months	9 months	18 months	36 months
Adjusting for therapist effects (imputed data)
WOMAC pain (0-20)
UC vs ITE: Adjusted mean difference (95% CI)	0.1 (-0.5 to 0.7)	-0.1 (-0.8 to 0.7)	-0.1 (-0.9 to 0.7)	-0.3 (-0.9 to 0.4)	-0.1 (-0.9 to 0.6)
UC vs TEA: Adjusted mean difference (95% CI)	0.0 (-0.5 to 0.6)	-0.2 (-1.0 to 0.6)	-0.3 (-1.2 to 0.5)	-0.5 (-1.2 to 0.3)	-0.3 (-1.1 to 0.5)
WOMAC function (0-68)
UC vs ITE: Adjusted mean difference (95% CI)	0.1 (-2.0 to 2.2)	1.1 (-0.7 to 3.0)	-0.5 (-2.8 to 1.9)	0.1 (-2.3 to 2.4)	-0.4 (-2.9 to 2.1)
UC vs TEA: Adjusted mean difference (95% CI)	0.5 (-1.5 to 2.5)	-0.6 (-2.8 to 1.7)	-1.1 (-3.5 to 1.4)	0.0 (-2.3 to 2.3)	0.5 (-1.9 to 3.0)
Removing adjusting covariates, except baseline (BL) from the model (imputed data)
WOMAC pain (0-20)
UC vs ITE: Mean difference adjusted for BL (95% CI)	0.1 (-0.6 to 0.8)	-0.2 (-0.9 to 0.5)	-0.1 (-0.9 to 0.7)	-0.3 (-1.1 to 0.6)	-0.2 (-1.1 to 0.7)
UC vs TEA: Mean difference adjusted for BL (95% CI)	0.1 (-0.6 to 0.8)	-0.3 (-1.0 to 0.4)	-0.3 (-1.0 to 0.5)	-0.3 (-1.2 to 0.6)	-0.4 (-1.3 to 0.5)
WOMAC function (0-68)
UC vs ITE: Mean difference adjusted for BL (95% CI)	0.0 (-2.2 to 2.3)	0.8 (-1.7 to 3.2)	-0.5 (-3.1 to 2.1)	0.2 (-2.6 to 3.1)	-0.4 (-3.4 to 2.6)
UC vs TEA: Mean difference adjusted for BL (95% CI)	0.6 (-1.7 to 2.9)	-0.9 (-3.4 to 1.6)	-0.9 (-3.6 to 1.7)	0.5 (-2.4 to 3.3)	0.2 (-2.8 to 3.2)
Complete-case data:
WOMAC pain (0-20)
UC: N, Mean (SD)	142, 6.5 (3.5)	156, 6.3 (4.1)	135, 6.1 (3.7)	138, 6.3 (3.8)	124, 6.3 (4.1)
ITE: N, Mean (SD)	142, 6.7 (3.8)	151, 6.2 (4.0)	135, 6.3 (4.0)	141, 6.2 (4.3)	133, 6.3 (4.2)
TEA: N, Mean (SD)	133, 6.8 (3.6)	146, 6.3 (3.8)	124, 6.2 (3.9)	128, 6.1 (4.3)	120, 6.1 (3.9)
UC vs ITE: Adjusted mean difference (95% CI)	0.0 (-0.7 to 0.6)	-0.3 (-1.0 to 0.4)	0.0 (-0.8 to 0.7)	-0.1 (-1.0 to 0.7)	-0.1 (-1.0 to 0.8)
UC vs TEA: Adjusted mean difference (95% CI)	-0.1 (-0.8 to 0.6)	-0.4 (-1.1 to 0.3)	-0.3 (-1.1 to 0.5)	-0.3 (-1.2 to 0.6)	-0.3 (-1.2 to 0.7)
WOMAC function (0-68)
UPC: N, Mean (SD)	140, 22.5 (12.7)	157, 21.3 (14.3)	135, 21.8 (13.4)	139, 21.2 (14.4)	118, 21.0 (14.1)
ITE: N, Mean (SD)	143, 22.5 (12.9)	151, 21.8 (13.8)	131, 21.0 (14.1)	141, 21.8 (15.1)	128, 20.5 (14.8)
TEA: N, Mean (SD)	131, 24.6 (12.8)	144, 21.3 (13.2)	124, 22.4 (13.7)	127, 22.4 (14.7)	116, 22.1 (14.2)
UC vs ITE: Adjusted mean difference (95% CI)	-0.2 (-2.4 to 2.0)	0.6 (-1.8 to 3.0)	-0.9 (-3.5 to 1.8)	0.7 (-2.1 to 3.5)	-0.1 (-3.2 to 3.0)
UC vs TEA: Adjusted mean difference (95% CI)	0.4 (-1.9 to 2.6)	-0.9 (-3.4 to 1.6)	-0.8 (-3.5 to 1.9)	0.8 (-2.1 to 3.7)	1.0 (-2.2 to 4.2)