Descriptive statistics
The total number of individuals participated in this study was 11, with a mean age and standard deviation of 22 ± 18 years. The number of individuals who were tested for malaria using malaria blood smear test and rapid malaria test, of whom 11,610 (97.67%) had no malaria cases, 137 (1.26%) had probable malaria cases, and 118 (1.07%) had definite malaria cases. The Eastern region had weighted percentage of (0.64) of the total definite cases, the Southern region had (0.26) of the total definite cases, the Western region had (0.0008) of total definite cases, and the Northern and the Kigali region had like (0.0007) of total definite cases. A total of weighted percentage of (1) of individuals having definite malaria cases were from rural areas and (0.0005) was from urban areas. Female individuals were approximately (0.69), and male individuals were (0.36) had definite weighted percentages of malaria cases of the total population. Furthermore, Figure 2-3 showed the mean prevalence and variance of malaria infection in Rwanda 2010 using the direct and indirect approach. Musanze, Nyabihu and Ngororero regions had the greater prevalence of malaria infection in Rwanda in 2010 (Figure 2). Nyagatara region had the greater variance of malaria infection in Rwanda in 2010 (Figure 3).
The weighted mean and confidence interval of education gain in years and cluster altitude were 1.38 (0.89, 1.86) and 1524 (1483.57, 1565.61) in meters. The descriptive statistics survey weighted percentages of independent variables with the significant test statistic of survey adjusted chi-square test are summarized in Table 1. The results of survey ordinal univariate analysis, survey ordinal logistic regression modelling adjusting for random effects for random effects for direct effects and generalised structural equation modelling (G-SEM) to obtain (direct and indirect) effects of malaria infection are summarized in Table 2.
Result of direct, indirect and total effects using (G-SEM)
Results of direct effects
The direct effects from G-SEM are shown in Table 3. The arrows show pathways that were statistically directly significant. Household related variables (number of rooms for sleeping, socio-economic status, health insurance, age in years and education gain in years), has significantly shown direct effect on malaria infection. Ecological variables (region and cluster altitude in meters) and behavioural variables (sleep under treated bed net and clean water facility for drinking) also showed significant direct effect on malaria infection.
Household related variables, least poor (a category of SES) and health insurance were modeled as an exogenous variable, which directly affected negatively on malaria infection as shown in Table 3 adjusting for other household level variables. The number of rooms for sleeping was modeled as an exogenous variable, directly impacted negatively on malaria infection as shown in Table 3 with total effect as shown in Table 3.
Results of indirect effects
The indirect effects found from G-SEM are shown in Table 3. The connected arrows show indirect pathways that were statistically significant. Moreover, variable like the number of rooms for sleeping was indirectly influenced by least poor and least poor was indirectly affected by education gain in years. Education gain in years also affected the health insurance which showed the positive relationship as shown in Table 3. Furthermore, when health insurance was treated as an endogenous variable, SES variable category “least poor” indirectly impacted malaria infection and had a protective effect as shown in Table 3. Education in years as an exogenous variable had no direct influence on malaria infection, but indirectly affected malaria infection through least poor as shown in Table 3 and had a protective effect on health insurance as shown in Table 3. When the number of rooms for sleeping was treated as an endogenous variable, SES variable category least poor was indirectly negatively impacted the malaria infection. However, it positively effected when the number of rooms for sleeping effect was direct as shown in Table 3.
Total effect
The total effect is an accumulative value of direct and indirect effects of each respective variable. The results of the total effect are shown in Table 3. Least poor category showed a significant total effect of as shown in Table 3 Health insurance also showed a total effect of as shown in Table 3. Education gain in years showed an indirect effect and resulting total effect was as shown in Table 3.
Results of direct and indirect generalised structural equation modelling (G-SEM)
Generalised structural equation modelling (G-SEM) was based on variables which were statistically significant in regression analyses were chosen for G-SEM pathways as shown in Figure 4-5. Results were reported adjusting endogenous and exogenous factors and keeping other factors constant. The results of direct and indirect G-SEM technique showed positive and/or negative effects on the endogenous malaria infection.
Exogenous variables were least poor, health insurance, regions (north, east, west and south), and a number of rooms for sleeping in a household. The indirect effects were modelled on variables education in years, health insurance, least poor and a number of rooms for sleeping.
Figure 4 highlights the direct pathways of malaria infection (arrows directly linked to the brown square) and the indirect pathways were showed all possible routes of malaria in Figure 5.
Education gain in years indirectly impacted the malaria infection in two ways least poor (protective) and health insurance (a risk) as shown in Figure 5.
· Education => least poor => malaria infection = Protective
· Education => health insurance => malaria infection = Risk
Eastern region showed greatest total effect on malaria infection as shown in Table 3, and cluster altitude in meters showed least total effect on malaria infection as shown in “Table 3.
The result of G-SEM showed both direct and indirect effects on endogenous variable malaria infection. The direct G-SEM model (Figure 4) and indirect G-SEM model is (Figure 5) are shown. The endogenous variables; least poor, the number of rooms for sleeping, and health insurance are shown in Figure 5.