Table 4 Adjusted marginal (overall) and conditional (severity category) effects of MTC on ACR20 response for the full population, with the missing ACR20 responses imputed through a causal prediction method

 Overall effect

12.7 (11.2–14.1)

7.3 (6.8–7.0)

5.4 (4.0–6.0)

1.7 (1.5–2.0)

 Remission and low (< 3.20)

2.0 (0.9–3.4)

1.2 (0.8–1.7)

0.9 (− 0.4–2.3)

1.7 (0.7–3.4)

 Low moderate (3.20–4.02)

10.8 (7.8–14.2)

5.1 (4.0–6.7)

5.7 (2.4–9.3)

2.1 (1.4–3.1)

 High moderate (4.03–5.10)

19.7 (16.7–23.2)

12.2 (10.2–14.4)

7.4 (3.8–11.4)

1.6 (1.3–2.0)

 High (> 5.10)

34.7 (31.1–38.5)

20.2 (16.9–23.5)

14.5 (10.6–18.7)

1.7 (1.5–2.1)

 Overall effect

12.4 (11.0–13.8)

7.4 (6.9–7.2)

4.9 (3.4–5.5)

1.7 (1.5–1.9)

 Remission and low (< 10.0)

1.3 (0.5–2.5)

1.1 (0.7–1.6)

0.2 (− 0.8–1.3)

1.2 (0.4–2.6)

 Low moderate (10.0–12.9)

8.2 (4.5–13.0)

5.4 (3.9–7.3)

2.9 (− 1.2–7.7)

1.5 (0.8–2.7)

 High moderate (13.0–22.0)

20.3 (17.3–23.8)

10.3 (8.2–12.2)

10.0 (6.3–14.0)

2.0 (1.5–2.5)

 High (> 22.0)

31.2 (27.6–34.6)

19.8 (16.9–23.2)

11.4 (7.6–14.9)

1.6 (1.4–1.8)

 Overall effect

16.3 (14.5–17.2)

7.0 (6.1–7.6)

9.3 (7.4–10.7)

2.3 (2.0–2.7)

 Remission and low (< 2.00)

5.9 (3.5–8.8)

2.9 (2.0–3.9)

3.1 (0.6–5.9)

2.1 (1.2–3.4)

 Low moderate (2.00–3.81)

15.2 (12.2–18.4)

5.9 (4.8–7.3)

9.3 (6.1–12.7)

2.6 (1.9–3.4)

 High moderate (3.82–4.00)

11.8 (5.2–19.4)

6.5 (3.2–10.1)

5.3 (− 2.7–14.0)

1.8 (0.7–4.3)

 High (> 4.00)

22.3 (19.7–24.3)

9.7 (8.4–11.1)

12.5 (9.7–14.9)

2.3 (1.9–2.7)