Table 3 Simple and Multiple Logistic Regression Analysis of Factors Associated with RTI among Adolescents and Children in the Referral Hospitals of Amhara Regional State, Ethiopia. 2016 (N = 830)

Sex of the child

Male

1.45 (1.01 2.08)

1.76 (0.79 3.93

Female

1

1

Guardian level of education

No

1.66 (1.04 2.67)

6.91 (2.52 8.93)

Primary

1.44 (0.89 2.34)

2.58 (0.85 7.82)

Secondary

1.04 (0.61 1.78)

0.93 (0.18 4.65)

Tertiary

1

1

Marital status of the mother

Single

1

1

Married

1.22 (0.64 2.33)

0.28 (0.06 1.25)

Separated

2.32 (0.59 8.97)

0.98 (0.07 12.95)

Divorced

0.33 (0.12 0.92)

0.008 (0.01 0.05)

Widowed

2.083 (0.818 5.303)

0.51 (0.073 3.483)

Father’s Occupation

Farmer

1

1

Employed

1.31 (0.850 2.035)

2.803 (0.737 10.660)

Petty trader

0.538 (0.32 0.90)

0.98 (0.21 4.55)

Day laborer

0.76 (0.45 1.24)

3.12 (0.67 4.48)

leaving a child with a child

No

1

1

sometimes

1.49 (1.03 2.15)

2.56 (1.06 6.20)

most often

2.09 (1.120 3.91)

4.77 (1.15 9.77)

Child behavior

Aggressive

2.43 (1.42 4.14)

1.04 (0.33, 3.26)

Unaggressive

1

Socioeconomic status

Wealth

0.63 (0.32 1.23)

0.08 (0.01, 0.45)

Middle

1.05 (0.72 1.52)

0.41 (0.17,0.97)

Low

1

1

Age of Guardian

< 30

1

1

31–40

0.87 (0.58 1.30)

0.72 (0.28 1.84)

41–50

0.74 (0.46 1.19)

0.33 (0.12 1.02)

51–65

1.22 (0.56 2.65)

1.66 (3.74 5.58)