Appendix
Model equations.
Main Effect Model:
Logit(Pr(outcome))=β0 + β1 maternal HIV status + β2 2010+ β3 2015+β4 child sex + β5
child age + β6 maternal BMI + β7 maternal height + β8 household wealth index_2 + β9
household wealth index_3+ β10 household wealth index_4+ β11 household wealth index_5 + β12 mother' s age + β13 parity.
Interaction with Time Model:
Logit(Pr(outcome))=β0 + β1 maternal HIV status + β2 2010+ β3 2015 + β4 maternal HIV status*2010 + β5 maternal HIV status*2015 + β6 child sex + β7 child age + β8 maternal BMI + β9 maternal height + β10 household wealth index_2 + β11 household wealth
index_3 + β12 household wealth index_4 + β13 household wealth index_5 + β14 mother' s age + β15 parity.
Interaction with Time and Child’s Sex Model:
Logit(Pr(outcome))=β0 + β1 maternal HIV status + β2 2010+ β3 2015 + β4 maternal HIV status*2010 + β5 maternal HIV status*2015 + β6 child sex + β7 child age + β8 maternal BMI + β9 maternal height + β10 household wealth index_2 + β11 household wealth
index_3 + β12 household wealth index_4 + β13 household wealth index_5 + β14 mother' s age + β15 parity + β16 maternal HIV status* child sex + β17 2010* child sex + β18 2015*
child sex + β19 maternal HIV status*2010* child sex + β20 maternal HIV status*2015*
child sex.
Interaction with Time and Child’s Age Model:
Logit(Pr(outcome))=β0 + β1 maternal HIV status + β2 2010+ β3 2015 + β4 maternal HIV status*2010 + β5 maternal HIV status*2015 + β6 child sex + β7 child age + β8 maternal BMI + β9 maternal height + β10 household wealth index_2 + β11 household wealth
index_3 + β12 household wealth index_4 + β13 household wealth index_5 + β14 mother' s age + β15 parity + β16 maternal HIV status* child age + β17 2010* child age + β18 2015*
child age + β19 maternal HIV status*2010* child age + β20 maternal HIV status*2015*
child age.
Table 1. Prevalence and 95% CI of Children Stunted, Underweight, and Wasted by Mother’s HIV Status and Child’s Gender from 2005-2015
DHS Year 2005-06 2010-11 2015-16
Number of
Children 3,421 3,882 4,569
Stunted*
HIV-positive 0.34 (0.31-0.38) 0.31 (0.28-0.36) 0.25 (0.21-0.30) Male 0.38 (0.32-0.43) 0.37 (0.32-0.43) 0.27 (0.22-0.33) Female 0.31 (0.27-0.36) 0.25 (0.21-0.31) 0.23 (0.18-0.29) HIV-negative 0.28 (0.26-0.31) 0.25 (0.23-0.27) 0.20 (0.19-0.22)
Male 0.29 (0.26-0.32) 0.26 (0.24-0.29) 0.21 (0.19-0.24) Female 0.27 (0.24-0.30) 0.24 (0.22-0.26) 0.19 (0.17-0.22) Underweight*
HIV-positive 0.21 (0.18-0.25) 0.15 (0.13-0.19) 0.15 (0.12-0.18) Male 0.22 (0.18-0.27) 0.18 (0.14-0.23) 0.12 (0.09-0.17) Female 0.21 (0.16-0.26) 0.13 (0.10-0.17) 0.17 (0.13-0.22) HIV-negative 0.16 (0.14-0.18) 0.14 (0.12-0.15) 0.11 (0.10-0.12)
Male 0.15 (0.14-0.17) 0.14 (0.12-0.16) 0.11 (0.10-0.13) Female 0.16 (0.13-0.19) 0.13 (0.11-0.15) 0.11 (0.09-0.13) Wasted*
HIV-positive 0.06 (0.05-0.09) 0.03 (0.02-0.05) 0.04 (0.03-0.06) Male 0.07 (0.05-0.11) 0.04 (0.02-0.07) 0.04 (0.02-0.08) Female 0.06 (0.02-0.12) 0.02 (0.01-0.05) 0.05 (0.03-0.08) HIV-negative 0.06 (0.05-0.07) 0.03 (0.03-0.04) 0.04 (0.03-0.04)
Male 0.06 (0.04-0.07) 0.03 (0.02-0.04) 0.04 (0.03-0.05) Female 0.06 (0.05-0.07) 0.03 (0.02-0.04) 0.03 (0.03-0.04)
Table 2. Prevalence Odds Ratios (POR) and 95% CI of Children Stunted,
Underweight, and Wasted by Mother’s HIV Status from 2005-2015 using three-way interaction models
Stunting Underweight Wasting Covariates Interaction
with child’s sex
Interaction with child’s age
Interaction with child’s
sex
Interaction with child’s
age
Interaction with child’s
sex
Interaction with child’s
age POR
(95% CI) POR
(95% CI) POR
(95% CI) POR
(95% CI) POR
(95% CI) POR
(95% CI)
Mother HIV positive 1.46 1.82 1.54 1.31 1.28 1.02
(1.12,1.90) (1.04,3.19) (1.13,2.09) (0.84,2.05) (0.76,2.17) (0.54,1.91) Year (ref =2005)
2010 0.94 0.85 1.03 0.85 0.56 0.79
(0.75,1.17) (0.66,1.09) (0.82,1.28) (0.65,1.11) (0.36,0.86) (0.49,1.28)
2015 0.77 0.90 0.90 0.98 0.83 1.12
(0.62,0.95) (0.70,1.16) (0.73,1.12) (0.76,1.26) (0.55,1.25) (0.75,1.65) Mother HIV positive * Year (ref =2005)
2010 1.15 0.96 0.79 0.94 1.01 0.57
(0.78,1.69) (0.50,1.84) (0.49,1.28) (0.50,1.79) (0.43,2.37) (0.19,1.70)
2015 0.87 0.86 0.63 1.08 0.73 0.86
(0.58,1.30) (0.44,1.66) (0.38,1.03) (0.58,2.02) (0.29,1.81) (0.32,2.32) Child sex
(ref=male)
0.93 0.86 1.07 0.96 1.06 0.93
(0.76,1.14) (0.78,0.95) (0.83,1.38) (0.84,1.08) (0.74,1.51) (0.75,1.15) Mother HIV positive
* Child sex (ref=male)
0.86 - 0.92 - 0.74 -
(0.57,1.30) (0.59,1.43) (0.22,2.50)
Year (ref =2005) * Child sex (ref=male)
2010 0.94 - 0.80 - 0.95 -
(0.72,1.23) (0.57,1.13) (0.57,1.58)
2015 0.94 - 0.87 - 0.80 -
(0.71,1.24) (0.62,1.22) (0.47,1.35)
Mother HIV positive * Year (ref =2005) * Child sex (ref=male)
2010 0.76 - 0.90 - 0.70 -
(0.42,1.37) (0.45,1.79) (0.13,3.75)
2015 1.11 - 1.66 - 1.82 -
(0.61,2.03) (0.81,3.38) (0.39,8.55)
P value of joint test 0.4537 - 0.2476 - 0.4349 -
Child age 1.12 1.17 1.04 1.05 0.81 0.92
(1.09,1.16) (1.08,1.28) (0.99,1.08) (0.96,1.15) (0.75,0.86) (0.82,1.03) Mother HIV positive
* Child age
- 0.87 - 1.06 - 1.04
(0.68,1.10) (0.88,1.27) (0.84,1.28)
Year (ref =2005) * Child age
2010 - 1.05 - 1.05 - 0.76
(0.94,1.16) (0.93,1.18) (0.61,0.95)
2015 - 0.91 - 0.92 - 0.76
(0.82,1.00) (0.83,1.04) (0.64,0.92)
Mother HIV positive * Year (ref =2005) * Child age
2010 - 1.01 - 0.89 - 1.39
(0.77,1.33) (0.69,1.15) (0.88,2.18)
2015 - 1.03 - 0.87 - 1.12
(0.78,1.37) (0.69,1.11) (0.75,1.69)
P value of joint test - 0.9708 - 0.5193 - 0.3598
Mother’s BMI 0.95 0.95 0.89 0.89 0.90 0.90
(0.93,0.96) (0.93,0.96) (0.87,0.91) (0.87,0.91) (0.87,0.93) (0.87,0.94)
Mother’s height 0.93 0.93 0.94 0.94 0.99 0.99
(0.92,0.94) (0.92,0.94) (0.93,0.95) (0.93,0.95) (0.98,1.01) (0.98,1.01) HH Wealth Index (ref = Poorest)
Poorer 0.96 0.96 1.05 1.05 0.92 0.92
(0.82,1.13) (0.82,1.13) (0.87,1.27) (0.87,1.27) (0.69,1.24) (0.68,1.23)
Middle 0.97 0.98 0.84 0.84 0.91 0.91
(0.82,1.16) (0.82,1.17) (0.69,1.02) (0.69,1.02) (0.64,1.30) (0.64,1.28)
Wealthier 0.88 0.88 0.89 0.89 1.01 1.00
(0.74,1.04) (0.74,1.05) (0.74,1.08) (0.73,1.08) (0.72,1.41) (0.72,1.39)
Wealthiest 0.73 0.74 0.69 0.70 0.62 0.62
(0.60,0.90) (0.60,0.90) (0.54,0.89) (0.54,0.90) (0.40,0.96) (0.40,0.96)
Mother’s age 0.99 0.99 1.00 1.00 1.00 1.00
(0.98,1.00) (0.98,1.00) (0.98,1.01) (0.98,1.01) (0.97,1.03) (0.97,1.03)
1.08 1.08 1.09 1.09 1.00 1.00
Parity* (1.02,1.14) (1.02,1.13) (1.03,1.16) (1.03,1.16) (0.91,1.11) (0.90,1.11)