Table 3 The bi-variable and multivariable Cox-regression analysis of the predictors of OIs among HIV-children on ART at Debre-Markos Referral Hospital, Northwest Ethiopia from January 1, 2005 to March 31, 2019 (N = 408)

Age (years)

 0–4 years

1

1

 5–9 years

1.5 (0.98, 2.3)

1.2 (0.8, 1.9)

 10–14 years

1.7 (1.03, 2.9)

1.4 (0.8, 2.4)

 Both alive

1

1

 One or both dead

1.3 (0.9, 1.8)

1.0 (0.7, 1.5)

 No

1

1

 Yes

1.8 (1.3, 2.6)

1.2 (0.8, 1.83)

 Normal weight

1

1

 underweight

1.4 (1.0, 2.0)

1.1 (0.7, 1.6)

 Normal

1

1

 Stunted

1.3 (0.9, 1.9)

0.8 (0.5, 1.1)

 Stage I and II

1

1

 Stage III and IV

2.9 (2.0, 4.1)

1.8 (1.2, 2.7)^a

 Above the threshold

1

1

 Below the thresheold

3.3 (2.3, 4.6)

1.7 (1.1, 2.6)^a

 ≥ 10 g/dl

1

1

 <  10 g/dl

1.7 (1.1, 2.8)

1.0 (0.6, 1.7)

 Yes

1

1

 No

1.9 (1.3, 2.7)

1.2 (0.8, 1.7)

 Good

1

1

 Fair/poor

3.7 (2.6, 5.2)

2.6 (1.8–3.8)^a

 Yes

1

1

 No

2.8 (2.0, 4.0)

1.6 (1.1, 2.4)^a