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. Author manuscript; available in PMC: 2018 Nov 13.
Published in final edited form as: Stat Methods Med Res. 2016 Jul 20;27(1):208–220. doi: 10.1177/0962280215626608

Table 4.

Parameter estimates of zero-inflated negative binomial (ZINB) and marginal ZINB Models for HIV prevalence; DHS survey results for Ethiopia, Kenya and Rwanda; 2008–2011.

Random Effect marginal ZINB
Random Effect ZINB
Variablesa Rate ratio 95% CI 2 sided
P value
Rate ratio 95% CI 2 sided
P value
Kenya   4.80  0.88,26.03  0.07  2.38  0.59,9.61  0.22
Rwanda   6.02  2.11,17.22 <0.01  2.81  1.2,6.55  0.02
Gender
 Male   0.07  0.03,0.21 <0.01  0.38  0.15,0.98  0.04
Use media at least 1 h per week   1.90  0.55,6.56  0.31  2.50  0.83,7.55  0.11
HIV knowledge
 20%–<40%   0.03 0,0.73  0.03  0.11  0.01,2.16  0.15
 40%–<60%   0.06 0,1.1  0.06  0.26  0.02,3.74  0.32
 >=60%   0.03 0,0.47  0.01  0.53  0.04,7.16  0.63
Number of partners
 1   1.95  0.55,6.89  0.30  5.57  1.68,18.5  0.01
 >=2   6.52  0.71,59.7  0.10  4.56  0.69,30.2  0.12
HIV acceptance
 Positive response to 1 question  346.37  13.2,9087.91 <0.01  25.05  1.49,420.1  0.03
 Positive response to 2 questions   3835.67 181.36,81121.23 <0.01 149.65 11.68,1917.93  0.01
 Positive response to 3 questions   3558.16 177.01,71517.68 <0.01 205.35 16.76,2515.94 <0.01
 Positive response to 4 questions 13377.11 643.55,278062.17 <0.01 578.54 44.37,7543.19 <0.01
Age
 20–24   0.42  0.11,1.6  0.20  0.40  0.12,1.4  0.15
 25–29   0.30  0.07,1.29  0.11  0.30  0.08,1.19  0.09
 30–34   0.56  0.12,2.77  0.48  0.44  0.1,1.91  0.27
 35–39   0.32  0.05,1.97  0.22  0.39  0.07,2.1  0.27
 40–44   0.13  0.02,0.86  0.03  0.16  0.03,0.93  0.04
 45–49   0.05  0.01,0.38 <0.01  0.06  0.01,0.35 <0.01
Education
 Primary   0.77  0.27,2.22  0.63  1.13  0.44,2.87  0.80
 Secondary   0.93  0.28,3.11  0.91  0.97  0.35,2.63  0.94
 More than secondary   0.22  0.05,1.01  0.05  0.46  0.11,1.84  0.27
STI burden
 People with STI burden(ET)   4366.43  16.11,1183397.39 <0.01 649.11  5.04,83600.1  0.01
 People with STI burden(KE)   1.37  0.11,17.48  0.81  1.14  0.1,12.77  0.92
 People with STI burden(RW)   25.90  1.88,356.84  0.02  11.40  1.02,126.99  0.05
Marital status(country)
 Married(ET)   1.49  0.2,10.78  0.69  1.51  0.27,8.44  0.64
 Married(KE)   0.71  0.17,2.89  0.63  1.86  0.49,7.04  0.36
 Married(RW)   0.23  0.05,1.17  0.08  0.56  0.14,2.22  0.41
 Divorces(ET)   6.50  0.2,209.68  0.29  8.90  0.51,155.04  0.13
 Divorces(KE)   13.72  1.36,138.28  0.03  29.98  5.79,155.29 <0.01
 Divorces(RW)   2.89  0.17,48.52  0.46  1.09  0.18,6.52  0.93
Residence(country)
 Rural(ET)   0.39  0.24,0.64 <0.01  0.44  0.29,0.67  0.01
 Rural(KE)   1.04  0.71,1.54  0.83  0.81  0.57,1.17  0.27
 Rural(RW)   0.43  0.3,0.62 <0.01  0.44  0.34,0.56 <0.01

Note: CI, Confidence interval; STI, sexually transmitted diseases; ET, Ethiopia; KE, Kenya; RW, Rwanda.

a

Reference group for each variables: country: Ethiopia, gender: female, HIV knowledge: answer less than 20%, positive stigma: no positive attitudes towards the related questions, age: 15–19, education: no education, STI: no STI in each CEA, marital status: singles in each CEA, residence: urban in each CEA, number of partners: zero partners.