American Journal of Mathematics and Statistics
p-ISSN: 2162-948X e-ISSN: 2162-8475
2015; 5(3): 95-110
doi:10.5923/j.ajms.20150503.01
Tesfay Gidey Hailu
Department of Statistics, Addis Ababa Science and Technology University, Addis Ababa, Ethiopia
Correspondence to: Tesfay Gidey Hailu , Department of Statistics, Addis Ababa Science and Technology University, Addis Ababa, Ethiopia.
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Copyright © 2015 Scientific & Academic Publishing. All Rights Reserved.
The Ethiopian population grew at an alarming rate hence the increasing growth of population has become an urgent problem in Ethiopia. Contraception use is the main contributor of fertility declining in all levels and groups of people. On the other hand, to reach the MDGs giving attention to the importance and benefits of lowering population growth is mandatory. Family planning workers hence should make an effort to meet the needs of existing contraceptive users, and also to address socio-economic, demographic and other barriers for contraceptive users in the society. Some studies in Ethiopia (very specific to particular areas) have been carried out using standard logistic regression analysis to assess the factors that could influence contraception use. However, these methods did not assume any higher level grouping (region) or clustering effect (households) in the population as a result the estimates obtained from such analysis that ignores population structure will often be biased. Moreover, these studies lacks generalizability to a country level of Ethiopia as being conducted in particular areas. Ethiopia is a home of multi-ethnic and multi-culture people hence current contraception use may vary between women of different clusters, individuals and regions of the country. This research hence used a three-level random effect logistic model to analyze a national survey data by taking hierarchical sources of variability into account that comes from different levels of the data, which is novel in the estimates of determinants of current contraception use. Multiple multilevel modeling found that there was significant variation of current contraceptive use across clusters and to a lesser extent across regions. About 3.11% of the total variation on current contraception use was attributable to region-level factors and 15.05% was attributable to cluster level factors. Moreover, age categories (mostly 20 to 44 years), being wealthier, being educated, urban dwellers, knowledge on family planning, being married and having access to mass medias (radio, television or reading newspapers) showed an increased pattern with respect to current contraception use. The Ethiopian National Family Planning Programme should intensify its information, education and communication programmes on family planning to cover specific population who poorly utilized contraception use and to identify key geographic areas for further investigation. The strengthening of the health programs on advocating the benefits of family planning through mass media, focusing on young women (being they are the most productive people) particularly those with no or little education, targeting on Somali region and nuwer ethnic group while designing services would greatly improve the proportion of contraception use. Moreover, efficient distribution of health care facilities offering family planning services among women of urban and rural residents are required. This multilevel approach hence provides critical evidence on current barriers to contraception use and suggests policies which could improve the proportion of contraception users. The findings of this research therefore might be helpful for health programs to notify national efforts targeting on specific population or sub-groups who mostly under-used the contraception services as well as to identify key geographic areas for further investigation. Similarly, it enhances the ability of individuals to reduce the risk of unwanted pregnancies and acquiring or transmitting of infectious disease such as HIV/AIDS. The findings could also be helpful for policy making, monitoring and evaluating the activities for the government and other concerned agencies.
Keywords: Determinants, Contextual and individual factors, Contraception use, Multilevel modeling, Ethiopia
Cite this paper: Tesfay Gidey Hailu , Determinants and Cross-Regional Variations of Contraceptive Prevalence Rate in Ethiopia: A Multilevel Modeling Approach, American Journal of Mathematics and Statistics, Vol. 5 No. 3, 2015, pp. 95-110. doi: 10.5923/j.ajms.20150503.01.
![]() | Figure 1. The three-level Hierarchical structure of the 2011 EDHS data among women, Ethiopia, 2014 |
![]() | (1) |
is the probability of contraception use for an individual ith, in the jth cluster in the kth region of Ethiopia;
is
row vector of characteristics which may be defined at the individual ith, who is living in cluster jth located at kth region of the country;
is a
column vector of regression parameter estimates; and the quantities
and
are the random intercept terms for level 2 (the cluster) and level 3 (region) respectively. In this case, the random-intercept terms denoted that the combined effect of all unobserved heterogeneity which are excluded at cluster-level and regional-level that may affects current contraception use behaviour of individuals in some clusters and regions. Therefore, the random-intercepts represent unobserved heterogeneity in the overall response.These are assumed to have normal distribution with mean zero and variances
and
(13, 14). That is,v
the variance component at regionslevel given any covariate is independent across the regions.v
the variance component at cluster level given any covariate is independent across the clusters and regions. It is clear that the variance component at regions
is the residual between regions. Similarly, the variance component at clusters
is the residual between clusters nested with in regions.The variance components estimate for both region and cluster levels have been used to calculate intra-unit correlation coefficients in order to examine the extent to which how contraception use behaviour of individuals was associated for those who live in clusters nested in regions of the country, before and after taking into account the effect of significant covariates. Since individuals within the same clusters are also within the same region, the intra-cluster correlation includes regional variances (15). Thus, the intra-cluster
and intra-region
correlation coefficients are, respectively, given by![]() | (2) |
denotes that the total variance at region level;
is the total variance at cluster level; and
is the total variance at individual level. In multilevel logistic regression model, the residuals at individuals level (level 1) are represented by
and assumed to have a standard logistic distribution with mean zero and variance
, where π is the constant 3.1416 (16).
|
|
![]() | Figure 2. Distribution of current contraception use by region and place of residence among women, Ethiopia, 2014 |
![]() | (3) |
indicated that the average of all regions or all clusters for experiencing the outcome of interest that is being used contraception. Moreover, the estimates for the random effects of the three-level intercept-only model explained that the unique effect up on the use of contraception behaviour of an individual that came from each region (level 3) and cluster (level 2). The percentage of observed variation in the dependent variable (current use of contraception) attributable to regional level is found by dividing the variance for the random effect of the region by the total variance. This means that the intra-correlation coefficient (ICC) for women will be given as follows:
and 
of current contraception use among women at regional and cluster levlel (Table 3). The intra correlations coefficient at the regional and cluster level for women were found to be 0.1386 and 0.3219 respectively. These measures indicate that the correlation of current contraception use between two individuals in the same region and between two measurements on the same individual (in the same region). One can also conclude that 13.86% of the variation in contraception use of women is attributed to the regions and 32.19% to the cluster (which includes the region). Therefore, the addition of the regional and cluster specific effects were found to be significant on modeling the contraception use for women. The random intercept model only(with random effects of region and cluster) is therefore better than the fixed intercept only model on modeling the heterogeneity of contraception use that could arise from different levels of the data simultaneously. The random effects model also, that is, the region and cluster specific effects are assumed to be distributed normally for the purpose of estimation.
|
as seen in (Table 3). This corresponds to a predicted probability of
. Suppose that the region’s log-odds of current contraception use,
, is approximately normally distributed with mean -1.9968 and variance,
. Hence, the 95% confidence interval for
is
. Similarly, these log-odds can be converted to predicted probabilities such that
and the corresponding 95% CI for the predicted probability is given by

. This indicates that the multilevel effects (that is the random effects at different levels) would impact the rate/prevalence of current contraception use to vary from 1.17 percent to 61.06 percent within the regions (clusters nested with in regions) and no predictor has been included in this model. Moreover, the likelihood ratio test indicated that the random effect model is highly significant in explaining the variation of current contraception use observed among women (P-value=0.0000<0.05). Hence, the random intercept model is better in comparison to standard logistic regression on explaining the variation of contraception use observed among women.The output in Table 4 below shows that there are 11 regions with an average of 1501 participants for a total of 596 clusters, with between 5 and 59 observations each for a total of 16,515 women.
|
![]() | (4) |
|
is in fact the residual
of the model which is a function of place of residence. But, the random slope for place of residence was in significant at both region and cluster level. Hence, the random slope model for place of residence was being allowed to vary at region or cluster level was not considered any more while fitting the final multiple multilevel model with all significant predictors (Table 6). Moreover, the random slope model for wealth index didn’t converge even after several iterations and hence not fitted in the final multilevel model.![]() | (5) |
![]() | (6) |
The multiple multilevel modelling showed that, age group, education, wealth index, marital status, heard family planning on mass media and media exposure have been found significantly associated with women’s current contraception use. Moreover, ethnicity was found significantly associated with current contraception use among Affar, Somalie and Nuwer women compared to the reference category that of Tigrean women. In contrast to this, there was no significant difference in contraception use between the Amara, Guragie, Sidama, Welaiyta and Oromo women compared to the Tigrean women. Religion was also found to be insignificant on explaining the variation of current contraception use observed among women. The variation of contraception use among women was significant (p <0.05) at all levels of the hierarchy (individual, cluster and region). It has been also found that the random effects at cluster and region levels were significant on explaining the variations of contraception use among women. In summary, the random effects multiple multilevel model results indicated that all the predictors are not equally and effectively defining the characteristics of women of all the clusters and all the regions on experiencing the probability of contraception use. This showed that those of women belonging to different wealth categories and place of residences of same cluster might differ on contraception use significantly across the region. One can conclude that, current contraception use is therefore correlated among women in the same cluster within each region but the correlation differs from region to region. However, fitting a multiple multilevel model with both random intercept and slope is really consuming time as the hierarchical structure of the data is more complex. Although the more complex model explains the variations of contraception use among women better than the other model but here in this study the variance components for place of residence was found to insignificant (Table 7). And, the random slope model for wealth index didn’t converge even after several iterations. Hence, the three level random intercept multilevel model is considered.N.B: Model 1: Represents random intercept model i.e. an empty modelModel 2: The final multiple multilevel logistic model with significant predictors associated with the probability of current contraception use among women aged 15-49 years old in Ethiopia
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