Model effect Multilevel model
Men   Women  
Estimates (SE):OR [95% Conf. Interval for OR] Estimates (SE): OR [95% Conf. Interval for OR]
Fixed effect        
Residence 1.3714 (0.1458)** [1.0856, 1.6572] 6.200 ( .8985)    [4.6673,   8.2372]
Random effect
Parameters
       
Region:        
Var (residence) 0.1187 (0.0933) [0.0253, 0.5548] .0693 (.0856) [.0061,  .7815]
Var (_cons) 0.4137 (0.1948)** [0.1644, 1.0412] .8138 (.3705)** [.3334,  1.9865]
Cluster:        
Var (residence) 4.4e-18(5.03e-10)    0 2.76e-23( 1.09e-12) 0
Var (_cons) 0.5574 (0.0512)** [0.4655, 0.6675] .9232 (.0766)** [.7845 ,  1.0864]
-2logL     -9109.341  
Deviance     18218.682  
LR test vs. logistic regression: chi2(2) =  1789.56   Prob> chi2 = 0.0000 chi2(4) =  2377.44   Prob> chi2 = 0.0000
Fixed effect        
Wealth index        
Poorer 1.5623 (.141)** [1.308,    1.865] 1.4670 (.1167)** [1.2551,    1.7146]
Middle 2.066 (.2648)** [1.607,  2.6562] 1.9037 (.1770)** [1.5864,    2.2844]
Richer 3.2443 (.559)** [2.314,   4.5478] 2.6368 (.2890)** [2.1271,    3.2687]
Richest 6.657 (1.418)** [4.384,   10.108] 6.1330 (.8233)** [4.7142,    7.9789]
Region:        
Var (Wlth_Index) .0225 (.0167) [.0052, .0968] .0055 (.0045) [.0011,    .0275]
Var (_cons) .7250 (.4015)** [.2448,   2.1469] .8459 (.3959)** [.3380,    2.1169]
Cluster:        
Var (Wlth_Idex) 8.34e-19 (7.09e-11)  0 1.26e-21 (2.27e-12) 0
Var (_cons) .4766  (.0463)** [.3939,    .5767] .7983 (.0702) [.6718,    .9487]
Variance (eijk)  (3.1416)2/3=3.3   3.3  
-2logL -8517.327   -9767.64  
Deviance 17034.654   19535.28  
N 14,110   16,515  
LR test vs. logistic regression: chi2(4) =  1001.21   Prob> chi2 = 0.0000 chi2(4) =  1885.73   Prob> chi2 = 0.0000
N.B: ** indicates that the estimates are significant such that estimates are two times higher than their respective standard errors.
Table 10: Parameters estimates and standard errors of a univariate random intercept and slope-only multilevel model predicting the probability of being tested for HIV (S.Es are placed in parentheses).