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Erschienen in: BMC Pediatrics 1/2021

Open Access 01.12.2021 | Research article

Bivariate binary analysis on composite index of anthropometric failure of under-five children and household wealth-index

verfasst von: Demeke Lakew Workie, Lijalem Melie Tesfaw

Erschienen in: BMC Pediatrics | Ausgabe 1/2021

Abstract

Background

Malnutrition is the most common cause of mortality and morbidity of children in low and middle income countries including Ethiopia and household wealth index shares the highest contribution. Thus, in this study it is aimed to conduct bivariate binary logistic regression analysis by accounting the possible dependency of child composite index anthropometric failure and household wealth index.

Methods

In this study the data from Ethiopian Demographic and Health Survey (EDHS) 2016 involved 9411 under five children was considered. Child Composite Index Anthropometric Failure (CIAF) measures the aggregate child undernourished derived from the conventional anthropometric indices (stunting, underweight and wasting). The correlation between CIAF and wealth index was checked and significant correlation found. To address the dependency between the two outcome variables bivariate binary logistic regression was used to analyze the determinants of child CAIF and household wealth index jointly.

Results

Study results show that region, place of residence, religion, education level of women and husband/partner, sex of child, source of drinking water, household size and number of under five children in the household, mothers body mass index, multiple birth and anemia level of child had significant association with child CIAF. Female children were 0.82 times less likely to be CIAF compared to male and multiple birth children were more likely to be CIAF compared to single birth. Children from Oromia, Somalie, Gambela, SNNPR, Harari and Addis Ababa region were 0.6, 0.56, 0.67, 0.52, 0.6 and 0.44 times less likely to be CIAF compared to Tigray. A household from rural area were 15.49 times more likely poor compared to a household. The estimated odds of children whose mothers attended primary, and secondary and higher education was 0.82, and 0.52 times respectively the estimated odds of children from mothers who had never attended formal education.

Conclusion

The prevalence of children with composite index anthropometric failure was high and closely tied with the household wealth index. Among the determinants, region, religion, family education level, and anemia level of child were statistically significant determinants of both CIAF and household wealth index. Thus, the authors recommend to concerned bodies and policymakers work on household wealth index to reduce the prevalence of child composite anthropometric failure.
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Abkürzungen
CIAF
Composite index anthropometric index
HHWI
Household wealth index
BMI
Body mass index
EDHS
Ethiopian demographic and health survey
OR
Odds ratio
CCR
Correct classification rate
SNNPR
South Nations Nationalities and Peoples Representatives

Background

Malnutrition is a relative or absolute deficiency or excess of one or more essential nutrients, and it is still a crucial problem, in particular, of children aged under five in the world [1]. It is the most common cause of mortality and morbidity, and responsible for more than half of death in children in low and middle income countries such as Ethiopia [2, 3]. Child malnutrition is the major public health problems in the world, with estimate of 45% of all death among under five children [4]. In Africa, the prevalence of chronic malnutrition is about 39% among under five children, and in Ethiopia it is worse higher than other African countries [4], revealed that more than one third of child death is associated with malnutrition [5]. Because, children are most vulnerable to malnutrition due to low dietary intakes, inequitable distribution of food within the household, improper food storage and preparation [6].
Malnutrition is devastating problems, particularly low-economic countries like Ethiopia as half of the Ethiopian population is living below the food poverty line and there is difficulty to meet their daily minimum nutritional requirement [6]. The anthropometric indicators involve wasting (weight-for-height), stunting (height-for-age), and underweight (weight-for-age) are among those commonly used to measure malnutrition in a population of childhood [4, 7]. Children whose measurements fall below 2 standard deviations from the reference median are generally considered malnourished and each indicator captures different aspects of malnutrition [7]. Based on these three indices the total malnourished of children can be detected using composite index of anthropometric failure (CIAF) [8]. In this study the composite index of stunting, wasting and underweight as composite index of anthropometric failure (CIAF) was employed for better description of malnutrition [8, 9]. Despite some improvements and remarkable efforts done to reduce child malnutrition rates, nearly half of under five children in Ethiopia are still malnourished [7].
Several socio-economic, demographic, and biological factors contribute to malnutrition. Of these, household wealth index shares the highest contribution and a key determinant of malnutrition which influence dietary intake and health cares of children and mothers. Household wealth index is an indicator of access to adequate food supplies, use of health services, availability of improved water sources, and sanitation facilities [6]. Several studies in Ethiopia [57] showed that higher household wealth index leads to lower levels of child malnutrition and it is indicated that low-income areas need consideration for prioritization and design of interventions to prevent and reduce malnutrition [10]. As researchers’ knowledge concerned, several studies of malnutrition [4, 5, 11], the anthropometric indicator wasting, stunting, and underweight were analyzed separately as malnutrition. However, in this study all the three anthropometric indicators incorporated and valued as Composite Index Anthropometric Failure (CIAF) for better description of malnutrition over other studies. Besides to this, the risk factors of child malnutrition and household wealth index studies conducted using univariate binary analysis, and a little attention is given for bivariate binary analysis in order to assess the association between child malnutrition and household wealth index with effects of socio-economic, demographic and biological factors. Thus, in this study it is aimed to conduct bivariate binary logistic regression analysis on the association between child CIAF and household wealth index relying on other socio-economic, demographic, and biological characteristics of children and households.

Methods

Data Source

The data for this analysis was obtained from 2016 Ethiopia Demographic and Health Survey (EDHS). The 2016 EDHS sample was stratified in to urban and rural areas and selected in two stages. In the first and second stages, a total of 645 enumeration areas (EAs) and 28 households per EA were selected with probability proportional to EA size and using systematic sampling, respectively. Based on the household and womens’ questionnaire, the children’s data including its height and weight measures was analyzed from 9411 children aged below 59 months [12].
The household and women’s survey questionnaire are two questionnaires among the five (the Household Questionnaire, the Woman’s Questionnaire, the Men’s Questionnaire, the Biomarker Questionnaire, and the Health Facility Questionnaire) that developed by Ethiopian Central Statistical Agency to reflect the population and health issues relevant to Ethiopia [12].

Variables

Dependent Variables

The outcome variables for this study were child composite index anthropometric failure (CIAF) and household wealth index. The first outcome variable, child CIAF measures the aggregate child undernourished derived from the conventional anthropometric indices (stunting, underweight and wasting) that classifies into seven groups (no failure; stunted only; underweight only; wasted only; stunted and underweight; wasted and underweight; wasted, stunted, and underweight) [8, 13]. Stunting, underweight and wasting are defined using Z-score as Z \(i=\frac{AI_i-\mu }{\sigma }\), where, AIi is the individual (child) anthropometric indicator, and refer respectively to median and standard deviation of the reference [14]. The CIAF is a better index for assessing the overall prevalence of undernourished and for identifying children with multiple anthropometric failures in a population [9, 13, 14]. For this study a single child CIAF was computed and re-coded into binary outcome as:” 1 = yes” if a child is either stunted only; underweight only; wasted only; stunted and underweight; wasted and underweight; or wasted, stunted and underweight; and” 0 = no” if a child is neither of them (no failure) [7].
The second outcome variable, household wealth index was computed according to national level wealth index/quantiles by Ethiopian Statistical Agency from poorest to richest utilizing family unit resource data by means of a principal components’ analysis [12, 15], where the twenty, forty, sixty, eighty and hundred percentiles are assigned to poorest, poorer, medium, rich, and richest. For the purpose of this study, household wealth index was categorized as poor = 1 and rich = 0 by merging poorest and poor as poor, and middle, rich and richest as rich.

Explanatory Variables

The selection of explanatory variables are theoretically driven that draw support from prior research with regard to factors affecting children’s nutritional status and household wealth index. Previous studies are referenced in creating categories for naturally continuous and discrete variables [16].

Statistical Analysis

Ordinary Binary Logistic Regression Model

Ordinary binary logistic regression model is considered only single response variable with binary outcome given other covariates. Let Yi = (Yi1,Yi2) be a vector of binary responses indicating whether the ith child is CIAF (Yi1 = 1) and a household is poor (Yi2 = 1) while Xi is the vector of covariates for the ith child. Then the ordinary binary logistic regression model is given by:
$$\mathit{\log} it\; pr\left({y}_{ij}=1\left|{x}_i\right.\right)={\beta}_{1j}{x}_{i1}+{\beta}_{2j}{x}_{i2}+\dots {\beta}_{pj}{x}_{ip}={X}_i{\beta}_j,j=1,2.$$
(1)
and the probability that the ith child will be malnourished (Yi1 = 1) or poor household (Yi2 = 1) is [17]:
$$\mathit{\Pr}\left({y}_{ij}=1\right)=\frac{e^{\beta_1{\chi}_{i1}+{\beta}_2{\chi}_{i2}+\dots +{\beta}_p{\chi}_{ip}}}{1+{e}^{\beta_1{\chi}_{i1}+{\beta}_2{\chi}_{i2}+\dots +{\beta}_p{\chi}_{ip}}}=\frac{e^{X_i{\beta}_j}}{1+{e}^{X_i{\beta}_j}}$$
(2)
The X’s are p-explanatory variables that may affect the outcomes and β’s are the coefficients of X’s that estimated from the data. The coefficients β’s allows researchers to rank the relative significance of explanatory variables and to understand their impact [15].

Bivariate Binary logistic Regression Model

We can perform separate analysis for the two outcomes CIAF and household wealth index (HHWI) by fitting ordinary binary logistic regression. This, however, would ignore the dependency between the two outcomes. To address this problem and take into account the dependency between two outcomes bivariate logistic regression model was used. Bivariate binary logistic regression analysis is a statistical method used to modeling two binary dependent variables jointly as a function of covariates [18]. In this study, the two outcomes of interests are child CIAF (yes = 1, no = 0) and household wealth index (poor = 1, rich = 0). In case of bivariate binary logistic regression analysis two binary outcomes (Y1, Y2) has four possible joint probabilities as:
Therefore, the joint probabilities expressed as a function of explanatory variables (xi) is given by [18]:
$${\pi}_{11}\left({\chi}_i\right)=p\left({y}_1=1,{y}_2=1\left|{\chi}_i\right.\right)=\frac{e^{X_i{\beta}_{11}}}{1+{e}^{X_i{\beta}_{11}}},\kern0.5em child\kern0.5em is\kern0.5em CIAF\kern0.5em and\kern0.5em from\kern0.5em poor\kern0.5em household$$
(3)
$${\pi}_{10}\left({\chi}_i\right)=p\left({y}_1=1,{y}_2=0\left|{\chi}_i\right.\right)=\frac{e^{X_i{\beta}_{10}}}{1+{e}^{X_i\beta 10}},\kern0.5em child\kern0.5em is\kern0.5em CIAF\kern0.5em and\kern0.5em from\kern0.5em rich\kern0.5em household$$
(4)
Alternatively, these can be articulated as logit function as:
$$logit\left[{\pi}_{11i}{X}_i\right]={X}_i{\beta}_{11} and\ logit\left[{\pi}_{10i}{X}_i\right]={X}_i{\beta}_{10}$$
(5)
In the Eq. (3, 4, 5) β11 and β10 refers to the parameters of the conditional logit model for Y2 = 1 and Y2 = 0, respectively in a function of predictors, X. These parameters used to express the nature of dependency between the outcome variables Y1 and Y2 in the presence of explanatory variables. A regression model for the odds ratio (OR) [18], which describes the dependence of child CIAF and household wealth index is fitted as:
$${OR}_i=\frac{\pi_{11i}\left({X}_i\right)/\left[1={\pi}_{11i}\left({X}_i\right)\right]}{\pi_{10i}\left({X}_i\right)/\left[1={\pi}_{10i}\left({X}_i\right)\right]}=\frac{e^{X_i{\beta}_{11}}}{e^{X_i{\beta}_{10}}}={e}^{\left({\beta}_{11}-{\beta}_{10}\right){X}_i} and\kern0.5em \mathit{\log}\kern0.5em \left({OR}_i\right)={X}_i\left({\beta}_{11}-{\beta}_{10}\right)$$
(6)
The dependence between Y1 and Y2, can measure in terms of odds ratio and any departure from odds ratio = 1 will indicate the extent of dependence. The null hypothesis H0: β11 = β10 can be tested for independence in the presence of covariates between the two binary outcome variables Y1 and Y2.

Parameter Estimation and Model Diagnosis

All the logistic models of the parameters are estimated by the maximum likelihood techniques using Newton-Raphson algorithm iterative procedure and individual parameter estimates are tested based on the H0: β1j = 0 versus H1: β1j 6 = 0 using the Wald statistic \(W=\frac{{\hat{\beta}}_{1 ji}}{\hat{s}e\left({\hat{\beta}}_{1 ji}\right)}\) [17]. The goodness-of-fit test of the model was checked using correct classification rate (CCR). CCR is the ratio of number of correct predictions to number of observations. When the number of correct predictions is high, the CCR is high which indicates that higher accuracy and hence, the estimated model is good fit of the data [17].
The data was coded and entered to Statistical package for social science (SPSS) version 26 for Windows. The SPSS version 26 and R version 4.0.0 with VGLM package were used for the data analysis [19].

Results

Exploratory Analysis

In this study, a total of 9411 under five children were involved. The exploratory analysis was presented in four tables. Tables 1 and 2 revealed the description and frequency of dependent and independent variables, respectively. Nearly half of the children involved in this study had CIAF (46.7%) and from poor household (46.4%) (Table 1).
Table 1
Dependent variables description and its frequency
Dependent variables
Categories (Codes)
n (%)
CIAF
Yes (1)
No(0)
4393 (46.7%)
5018 (53.3%)
Wealth index
poor (1)
rich (0)
4371 (46.4%)
5040 (53.6%)
Table 2
Explanatory variable description and frequency
Variables
Categories (Codes)
n (%)
Variables
Categories (Codes)
n (%)
Age of child
0–5 (0)
1047 (11.1)
Mother’s education
No education (0)
6194 (65.8)
 
6–11 (1)
953 (10.1)
Level
Primary (1)
2577 (27.4)
 
12–23 (2)
1809 (19.2)
 
Secondary and above (2)
641 (6.8)
 
24–35 (3)
1884 (20.0)
   
 
36–47 (4)
1848 (19.6)
Age of mothers
<  20 (0)
6113 (65.0)
 
48–59 (5)
1870 (19.9)
at first birth
20–34 (1)
3288 (34.9)
    
35–49 (2)
10 (0.1)
Sex of child
Male (1)
4816(51.2)
   
 
Female (2)
4595(48.8)
Mothers BMI
Thin (0)
1829 (19.4)
    
Normal (1)
6877 (73.1)
Region
Tigray (1)
643(6.8)
 
Overweight (2)
615 (6.5)
 
Afar (2)
90 (1.0)
   
 
Amhara (3)
1824 (19.4)
Anemia
Non Anemic (0)
4722 (50.2)
 
Oromia (4)
4145 (44.0)
 
Anemic (1)
3511 (37.3)
 
Somali (5)
391 (4.2)
 
Missing
1179 (12.5)
 
Benishangul (6)
100 (1.1)
   
 
SNNPR (7)
1935 (20.6)
Cough
No (0)
7512(79.8)
 
Gambela (8)
22 (0.2)
 
Yes (1)
1900 (20.2)
 
Harari (9)
20 (0.2)
   
 
Addis Adaba (10)
206 (2.2)
Diarrhea
No (0)
8274 (87.9)
 
Dire Dawa (11)
36 (0.4)
 
Yes (1)
1120 (11.9)
    
Missing
18 (0.2)
Residence
Urban (1)
1022 (10.9)
   
 
Rural (2)
8389 (89.1)
Fever
No (0)
8021 (85.2)
    
Yes (1)
1381 (14.7)
Birth oder
1st (0)
1700(18.1)
 
Missing
10 (0.1)
 
2–3 (1)
2895 (30.8)
   
 
4–5 (2)
2263 (24.0)
Husband/partner’s
No education (0)
4232 (45.0)
 
6 and more (3)
2553 (27.1)
education level
Primary (1)
3589 (38.1)
    
Secondary and above (2)
1050 (11.2)
Number of children
1(0)
3423 (36.4)
 
Missing
540 (5.7)
under-five years
2 (1)
2651(27.9)
   
in the household
3 or more (2)
1670 (17.7)
 
1–4 (small) (0)
2411 (25.6)
   
Household size
5–9 (medium (1)
6450 (68.5)
Source of drinking
unimproved source (0)
4207 (44.7)
 
10 and more (Large) (2)
550 (5.8)
water
Improved source (1)
5204(55.3%)
Religion
Orthodox (1)
3253(34.6)
Multiple birth
Single birth (0)
9193 (97.7)
 
Protestant (2)
2032(21.6)
 
1st of multiple (1)
117 (1.2)
 
Muslim (3)
3842(40.8)
 
2nd of multiple (2)
102 (1.1)
 
Others (4)
285(3.0)
Twenty percent of children was between aged 24–35 months, 51.2% of the children were males and 89.1% lived in rural areas. The majority of mothers (65.0%) were aged less than 20 and 44.7% of households were used unimproved drinking water. Mothers and their parents who didn’t attend education were 65.8 and 45.0% respectively. Nearly one fifth (20.2%), one tenth (11.9%), and one seventh (14.7%) of children had cough, diarrhea, and fever symptoms two months before the survey respectively and more than one third of children (37.3%) have anemia (Table 2).
Table 3 shows the association of covariates with CIAF and household wealth index using chi-square (χ2) test. The CIAF was statistically associated with age of child, sex of child, region, place of residence, birth order, number of under five children in the household, source of drinking water of the household, multiple birth, age mother at first birth, mothers body mass index, anemia complication, diarrhea and fever symptoms, and husbands and mothers education level as they have p-value less than 0.05.
Table 3
The association of covariates with child composite index anthropometric failure (CIAF) and household wealth index (HHWI)
Covariates
childCIAF
p-value
HHWI
p-value
 
yes(n%)
no(%)
 
poor(%)
rich(%)
 
Age of child
0–5
455(10.4)
592(11.7)
 
464(10.6)
583(11.6)
 
6–11
407(9.3)
545(10.8)
 
436(9.9)
516(10.3)
 
12–23
840(19.2)
969(19.2)
 
888(20.2)
921(18.4)
 
24–35
924(21.1)
961(19.1)
0.001
862(19.6)
1022(20.4)
0.132
36–47
908(20.8)
940(18.7)
 
851(19.4)
997(19.9)
 
48–59
837(19.1)
1033(20.5)
 
891(20.3)
980(19.5)
 
Sex of child male female
2370(54.2)
2001(45.8)
2446(48.5) 2594(51.5)
0.000
2257(51.4)
2136(48.6)
2560(51.0) 2459(49.0)
0.367
Region Tigray
306(7.0)
337(6.7)
 
326(7.4)
318(6.3)
 
Afar
48(1.1)
41(0.8)
 
73(1.7)
17(0.3)
 
Amhara
993(22.7)
831(16.5)
 
824(18.8)
1001(19.9)
 
Oromia
1875(42.9)
2270(45.0)
 
1935(44.0)
2210(44.0)
 
Somalia
180(4.1)
211(4.2)
 
301(6.9)
91(1.8)
 
Benshangul
50(1.1)
49(1.0)
0.000
60(1.4)
40(0.8)
0.000
SNNPR
846(19.4)
1089(21.6)
 
842(19.2)
1093(21.8)
 
Gambela
8(0.2)
14(0.3)
 
11(0.3)
11(0.2)
 
Harari
8(0.2)
12(0.2)
 
7(0.2)
13(0.3)
 
Addis Ababa
38(0.9)
167(3.3)
 
0(0.0)
206(4.1)
 
Dire Dawa
18(0.4)
18(0.4)
 
15(0.3)
20(0.4)
 
Residence
Urban
Rural
340(7.8)
4032(92.2)
682(13.5)
4358(86.5)
0.000
77(1.8)
4316(98.2)
945(18.8)
4073(81.2)
0.000
Birth order
1st
2–3
4–5
742(17.0)
1281(29.3)
1086(24.8)
958(19.0)
1615(32.0)
1177(23.4)
0.000
668(15.2)
1319(30.0)
1116(25.4)
1032(20.6)
1576(31.4)
1147(22.9)
0.000
6 and more
1263(28.9)
1290(25.6)
 
1290(29.4)
1263(25.2)
 
No. of children(< 5 yrs)
1
1523(34.8)
1900(37.7)
 
1254(28.5)
2169(43.2)
 
2
2083(47.6)
2236(44.4)
0.004
2239(51.0)
2079(41.4)
0.000
3 or more
766(17.5)
904(17.9)
 
900(20.5)
770(15.3)
 
Source of drinking water unimproved source Improved source
2075(47.5)
2296(52.5)
2132(42.3)
2908(57.7)
0.000
2714(61.8)
1679(38.2)
1493(29.7)
3526(70.3)
0.000
Multiple birth Single birth
4234(98.4)
4958(96.9)
 
4303(98.0)
4889(97.4)
 
1st of multiple
71(1.6)
46(0.9)
0.000
48(1.1)
69(1.4)
0.245
2nd of multiple
66(1.5)
36(0.7)
 
42(1.0)
60(1.2)
 
Age of mother(at 1st birth)
< 20
2925(66.9)
3188(63.3)
 
2987(68.0)
3126(62.3)
 
20–34
1444(33.0)
1844(36.6)
0.001
1404(32.0)
1885(37.6)
0.000
35–49
3(0.1)
7(0.1)
 
3(0.1)
8(0.2)
 
Mothers BMI
Thin
935(21.6)
894(17.9)
 
962(22.2)
867(17.4)
 
Normal
3217(74.3)
3659(73.3)
0.000
3208(73.9)
3669(73.7)
0.000
Overweight
176(4.1)
439(8.8)
 
170(3.9)
445(8.9)
 
Anemia
Non Anemic
Anemic
1514(37.8) 2488(62.2)
1997(47.2)
2233(52.8)
0.000
1433(37.2) 2419(62.8)
2078(47.4)
2303(52.6)
0.000
Cough
No
Yes
3458(79.1)
913(20.9)
4053(80.4)
987(19.6)
0.291
3573(81.3)
820(18.7)
3938(78.5)
1080(21.5)
0.003
Diarrhea
No
Yes
3812(87.3)
555(12.7)
4462(88.8)
565(11.2)
0.015
3888(88.7)
493(11.3)
4386(87.5)
627(12.5)
0.033
Fever
No
Yes
3660(83.8)
710(16.2)
4361(86.6)
672(13.4)
0.000
3809(86.7)
582(13.3)
4211(84.0)
800(16.0)
0.000
Husband/partner education level
No education
2175(53.0)
2057(43.1)
 
2524(61.1)
1708(36.0)
 
Primary
1570(38.3)
2019(42.3)
0.000
1460(35.4)
2129(44.9)
0.000
Secondary and above
358(8.7)
692(14.5)
 
145(3.5)
905(19.1)
 
Mothers education level
No education
3094(70.8)
3099(61.5)
 
3428(78.0)
2766(55.1)
 
Primary
1113(25.5)
1465(29.1)
0.000
921(21.0)
1657(33.0)
0.000
Secondary and above
165(3.8)
476(9.4)
 
45(1.0)
596(11.9)
 
Household size 1–4 (small)
1075(24.6)
1337(26.5)
 
1055(24.0)
1356(27.0)
 
5–9 (medium)
3034(69.4)
3416(67.8)
0.076
3105(70.7)
3344(66.6)
0.000
10 and more (large)
263(6.0)
287(5.7)
 
233(5.3)
318(6.3)
 
Religion Orthodox
1521(34.8)
1732(34.4)
 
1334(30.4)
1919(38.2)
 
Protestant
897(20.5)
1135(22.5)
0.008
788(17.9)
1245(24.8)
0.000
Muslim
1799(41.1)
2043(40.5)
 
2090(47.6)
1752(34.9)
 
Others
155(3.5)
130(2.6)
 
182(4.1)
103(2.1)
 
The maximum prevalence of CIAF for children under 5 years of age is observed within the age groups of 24 to 47 months. As mothers’ age at first birth increases the prevalence of child CIAF fairly decreases. Whereas the prevalence of child CIAF decreases as educational level of mothers and their parents increase. For instance, the prevalence of anthropometric failure for children under 5 years of age whose mothers had never attended formal education, attended primary, and secondary and above education were 70.8, 25.5, and 8.7% respectively. Nearly half of child CIAF (47.8%) was from households who had two children under five years of age. Compared to child lived in urban area, child CIAF lived in rural area was higher (7.8% vs.92.2%). The prevalence of child CIAF and poor household was vary from region to region. For instance, the highest prevalence of CIAF (42.9%) and poor household (44.0%) was found in Oromia region whereas, the smallest prevalence of CIAF(0.2%) was found in Harari and Gambela region, and poor household(0.0%) was found in Addis Ababa. The prevalence of poor household was fairy decreases as the education level of mothers and their parents increases. That is, the prevalence of poor household with mothers who didn’t attend formal education, attended primary and secondary education and higher was 78.0, 21.0 and 1.0% respectively while the prevalence of poor household with parents had not education, attend primary school and secondary education and higher was 61.1, 35.4 and 3.5% respectively (Table 3).
Table 4 revealed the frequency distribution of each covariate over child CIAF conditioned on household wealth index. The proportion of child CIAF from poor household was equal with child CIAF from rich households at early age of child while child CIAF from poor household were higher compared to child CIAF from rich households and both were increased between age 6 and 35 months. Whereas, as the education level of mothers and their parents increase the child CIAF from poor household was decreased rapidly. The prevalence of male CIAF from poor household was higher compared to female CIAF from poor household (53.1% vs. 46.9%). Similarly, the proportion of child CIAF from poor household who used unimproved drinking water was higher compared to poor household who used improved drinking water (62.2% vs. 37.8%).
Table 4
Frequency distribution of covariates for different combinations of child CAIF and HHWI
Covariates
No CAIF
No CAIF
CAIF
CAIF
 
and rich (%)
and poor (%)
and rich (%)
and poor
Age of child
0–5
356(12.0)
235(11.4)
225(11.0)
230(9.9)
6–11
326(10.9)
219(10.6)
190(9.3)
217(10.6)
12–23
540(18.1)
429(20.8)
381(18.7)
460(19.7)
24–35
598(20.1)
363(17.6)
425(20.8)
499(21.4)
36–47
573(19.2)
367(17.8)
424(20.8)
484(20.8)
48–59
585(19.6)
449(21.8)
395(19.4)
441(18.9)
Sex of child male
1427(47.9)
1019(49.4)
1132(55.5)
1238(53.1)
female
1551(52.1)
1043(50.6)
908(44.5)
1093(46.9)
Region Tigray
181(6.1)
156(7.6)
137(6.7)
169(7.3)
Afar
9(0.3)
33(1.6)
8(0.4)
41(1.8)
Amhara
520(17.5)
311(15.1)
481(23.6)
512(22.0)
Oromia
1349(45.3)
921(44.7)
861(42.2)
1014(43.5)
Somalia
57(1.9)
154(7.5)
33(16.2)
147(6.3)
Benshangul
24(0.8)
26(1.3)
16(0.8)
35(1.5)
SNNPR
643(21.6)
445(21.6)
450(22.1)
396(17.0)
Gambela
7(0.2)
7(0.3)
3(0.1)
5(0.2)
Harari
8(0.3)
3(0.1)
4(0.2)
4(0.2)
Addis Ababa
167(5.6)
0(0.0)
38(18.6)
0(0.0)
Dire Dawa
12(0.4)
6(0.3)
8(0.4)
10(0.4)
Residence Urban
657(22.1)
25(1.2)
288(14.1)
52(2.2)
Rural
2321(77.9)
2037(98.8)
1753(84.9)
2279(97.8)
Birth order
1st
652(21.9)
306(14.8)
380(18.6)
362(15.5)
2–3
976(32.8)
638(30.9)
600(29.4)
681(29.2)
4–5
656(22.0)
521(25.3)
491(24.1)
595(25.5)
6 and more
693(23.3)
597(29.0)
569(27.9)
693(29.7)
No. of children(< 5 years)
1
1333(44.7)
567(27.5)
836(41.0)
687(29.5)
2
1192(40.0)
1044(50.6)
887(43.5)
1196(51.3)
3 or more
453(15.2)
451(21.9)
317(15.5)
449(19.3)
Source of drinking water unimproved source
868(29.1)
1264(61.3)
625(30.6)
1451(62.2)
Improved source
2110(70.9)
798(38.7)
1416(69.4)
881(37.8)
Multiple birth Single birth
2915(97.9)
2043(99.1)
1974(96.8)
2260(97.0)
1st of multiple
38(1.3)
8(0.4)
31(1.5)
40(1.7)
2nd of multiple
25(0.8)
11(0.5)
35(1.7)
31(1.3)
Age of mother (at 1st birth)
< 20
1845(30.2)
1343(45.1)
1280(62.7)
1644(70.5)
20–34
1126(34.2)
718(24.1)
759(37.2)
685(29.4)
35–49
6(0.2)
1(0.05)
1(0.04)
2(0.08)
Mothers BMI
Thin
488(16.4)
406(19.7)
379(18.6)
556(23.9)
Normal
2113(71.0)
1546(75.0)
1156(56.7)
1662(71.3)
Overweight
353(11.9)
86(4.2)
92(4.5)
84(3.6)
Anemia Non Anemic
1305(51.4)
692(40.9)
773(41.9)
741(34.3)
Anemic
1232(48.6)
1002(59.1)
1072(58.1)
1417(65.7)
Cough No
2358(79.2)
1695(82.2)
1580(77.5)
1879(80.6)
Yes
620(20.8)
367(17.8)
460(22.5)
453(19.4)
Diarrhea
No
2615(88.0)
1847(89.9)
1771(86.8)
2041(87.7)
Yes
358(12.0)
207(10.1)
269(13.2)
285(12.3)
Fever
No
2542(85.6)
1819(88.2)
1670(81.9)
1990(85.4)
Yes
429(14.4)
243(11.8)
370(18.1)
339(14.6)
Husband/partner education
No education
914(32.4)
1144(58.8)
794(41.4)
1381(63.2)
Primary
1292(43.4)
727(37.4)
837(43.6)
734(33.6)
Secondary and above
618(21.9)
75(3.9)
288(15.0)
70(3.2)
Mothers education level
No education
1530(51.4)
1569(76.1)
1235(60.5)
1859(79.8)
Primary
1009(33.9)
456(22.1)
648(31.8)
465(19.9)
Secondary and above
439(14.7)
37(1.8)
157(7.7)
8(0.3)
Household size 1–4 (small)
855(28.7)
482(23.4)
502(24.6)
573(24.6)
5–9 (medium)
1941(65.2)
1474(71.5)
1403(68.8)
1631(70.0)
10 and more (large)
182(6.1)
106(5.1)
136(6.7)
127(5.4)
Religion Orthodox
1136(38.1)
596(20.9)
783(38.4)
738(31.7)
Protestant
756(25.3)
379(12.7)
488(23.9)
409(17.5)
Muslim
1024(34.4)
1019(49.4)
727(35.6)
1071(45.9)
Others
62(2.1)
68(3.3)
41(2.1)
114(4.9)
Key: SNNPR South Nations Nationalities and Peoples Representatives
Table 5 shows the joint and marginal probabilities of child CIAF and household wealth index (HHWI) as well as the odds ratio. The odds ratio (OR) is a natural measure used to describe the association between the two binary responses and a value of unity denotes statistical independence [19, 20]. The OR is differed from unity (1.649). Thus, to fit the joint probability of child CIAF and household wealth index as a set of covariates while accounting for the possible dependency between the two responses using bivariate binary logistic regression model is very natural. Therefore, the bivariate logistic regression analysis of CIAF and household wealth index with other covariates was presented in Table 6.
Table 5
Joint and marginal probability of child CIAF and HHWI
  
HHWI
Marginal of CIAF
Odds Ratio
poor = 1
rich = 0
CIAF
Yes = 1
No = 0
2331 (0.248)
2062 (0.219)
2040 (0.217)
2978 (0.316)
4371 (0.464)
5040 (0.536)
1.469
 
Marginal of HHWI
4393 (0.467)
5018 (0.533)
9411 (1.00)
Key: Numbers in each cell is a frequency and its probability is in the parenthesis
Table 6
Parameter estimation of bivariate binary logistic regression modeling of child CIAF and HHWI
Variables
CIAF
HHWI
est.(se)
OR (95% CI)
est.(se)
OR (95% CI)
Intercept
0.13(0.18)
1.14(0.80,1.61)
1.08(0.23)
0.34(0.22,0.53)
Region
Tigray (*)
Afar
0.23(0.15)
0.80(0.60,1.06)
1.06(0.21)
2.89(1.93,4.32)
Amhara
0.18(0.11)
1.19(0.96,1.49)
0.94(0.13)
0.39(0.31,0.50)
Oromia
0.51(0.12)
0.60(0.47,0.76)
1.48(0.14)
0.23(0.17,0.30)
Somalie
0.57(0.14)
0.56(0.42,0.74)
0.35(0.18)
1.41(0.99,0.20)
Benshangul
0.034(0.13)
0.97(0.75,1.25)
0.22(0.15)
0.80(0.60,1.07)
Gambela
0.41(0.13)
0.67(0.52,0.86)
1.20(0.15)
0.30(0.22,0.40)
SNNPR
0.66(0.16)
0.52(0.38,0.71)
1.01(0.20)
2.73(1.86,4.02)
Harari
0.50(0.16)
0.60(0.44,0.83)
1.40(0.20)
0.25(0.17,0.37)
Addis Ababa
0.82(6.37)
0.44(0.01,0.78)
55.34(4460)
0.01(0.00,2.50)
Dire Dawa
0.21(0.17)
0.81(0.58,1.12)
0.25(0.21)
0.78(0.51,1.18)
Residence
Urban (*)
Rural
0.08(0.09)
1.08(0.91,1.29)
2.74(0.137)
15.49(11.80,20.30)
Religion
Orthodox (*)
Protestant
0.26(0.11)
1.30(1.05,1.60)
0.53(0.12)
1.70(1.34,2.17)
Muslim
0.33(0.09)
1.38(1.15,1.66)
0.61(0.11)
1.83(1.48,2.26)
Catholic and others
0.51(0.18)
1.67(1.17,2.38)
1.33(0.23)
3.78(2.42,5.90)
Education level of women
No education (*)
Primary
0.20(0.07)
0.82(0.72,0.94)
0.48(0.08)
0.62(0.53,0.72)
Secondary and higher
0.66(0.13)
0.52(0.40,0.67)
1.11(0.18)
0.33(0.23,0.47)
Diarrhea
No (*)
Yes
0.10(0.08)
1.11(0.94,1.30)
0.02(0.10)
0.98(0.81,1.19)
Fever
No (*) Yes
0.11(0.09)
1.11(0.94,1.32)
0.02(0.11)
0.98(0.79,1.21)
Cough
No (*)
Yes
0.01(0.08)
1.00(0.85,1.17)
0.10(0.10)
1.11(0.91,1.34)
Multiple birth
Single birth (*)
First of multiple
0.47(0.24)
1.59(1.01,2.53)
0.13(0.28)
0.88(0.51,1.51)
Second of multiple
0.49(0.25)
1.63(1.00,2.66)
0.07(0.31)
0.93(0.51,1.70)
Sex of Child male (*) female
0.16(0.05)
0.85(0.77,0.94)
0.01(0.06)
0.99(0.88,1.12)
Education level of husband
No education (*)
Primary
0.19(0.06)
0.83(0.73, 0.93)
0.62(0.07)
0.54(0.47,0.62)
Secondary and higher
0.11(0.09)
0.89(0.75, 1.07)
1.03(0.12)
0.36(0.29,0.45)
Source of drinking water
Not improved (*)
Improved
0.04(0.06)
0.96(0.86, 1.07)
1.00(0.07)
0.37(0.32,0.42)
Birth order
1st (*)
2–3
0.14(0.08)
0.87(0.74, 1.02)
0.22(0.10)
0.80(0.66,0.98)
4–5
0.06(0.10)
0.95(0.78, 1.14)
0.16(0.12)
0.85(0.67,1.07)
6 and more
0.07(0.10)
0.94(0.77, 1.14)
0.05(0.12)
0.95(0.75,1.21)
Age of mother at first birth less than 20 (*) between 20 and 24
0.11(0.05)
0.90(0.81,1.00)
0.05(0.07)
0.95(0.83,1.08)
between 35 and 49
0.45(1.06)
1.57(0.20,2.60)
1.56(2.30)
4.74(0.05,2.90)
Household size small (1–4) (*) medium (5–9)
0.06(0.08)
1.06(0.91,1.23)
0.31(0.09)
0.73(0.61,0.88)
large (10 and more)
0.18(0.14)
1.20(0.92,1.56)
0.65(0.16)
0.52(0.38,0.72)
Body mass index
Thin (*) Normal
0.24(0.06)
0.78(0.70,0.88)
0.20(0.07)
0.82(0.71,1.00)
Overweight
0.80(0.12)
0.45(0.36,0.56)
0.69(0.15)
0.50(0.37,0.67)
Anemia
No (*)
Yes
0.37(0.05)
1.44(1.30,1.60)
0.37(0.07)
1.44(1.27,1.64)
No. of under five children
1 (*)
2
0.19(0.06)
1.21(1.07,1.36)
0.44(0.07)
1.55(1.35,1.79)
3 and more
0.15(0.08)
0.86(0.73,1.01)
0.43(0.10)
1.54(1.26,1.87)
Age of child
0–5 (*)
6–11
0.01(0.11)
1.00(0.80,1.23)
0.04(0.13)
1.04(0.81,1.35)
12–23
0.15(0.10)
1.16(0.96,1.41)
0.26(0.12)
1.29(1.03,1.62)
24–35
0.17(0.10)
1.18(0.98,1.43)
0.05(0.12)
1.05(0.84,1.32)
36–47
0.18(0.10)
1.20(0.99,1.45)
0.16(0.12)
1.17(0.93,1.47)
48–59
0.05(0.10)
1.05(0.87,1.27)
0.23(0.12)
1.25(1.00,1.58)
Measure of Dependency
Odds Ratio (OR)
 
1.498
Key: *= reference category; OR Odds ratio, est. estimate, se standard error, CI Confidence Interval, SNNPR South Nations Nationalities and Peoples Representatives

Parameter Estimates

Table 6 revealed that the effect of covariates on child CAIF and household wealth index by taking into account the dependency of child CIAF and household wealth index using bivariate binary logistic regression model. The dependency between child CIAF and household wealth index was measured using odds ratio (OR) equals 1.498 and a value differ from one indicates significant dependency between child CIAF and household wealth index. After the dependency between child CIAF and household wealth index checked the effect of each covariate on CAIF and household wealth index was identified. Among covariates region, religion, education level of women and husband, sex of child, number of under five children, mothers body mass index, multiple birth, birth order, and anemia level of children were found as significantly associated factors for child CIAF. Whereas, region, place of residence, religion, education level of women and husband, household size, source of drinking water, anemia level of children e and number of under five children had significant association with household wealth index.
Table 7 revealed the predicted and observed counts for a combination of CIAF and household wealth index based on the estimated bivariate binary logistic regression model. The ratio of the number of correct predictions to number of observation, i.e. the correct classification rate (CCR) equals to 80.0% which is very high. This indicates that the estimated model was a good fit of the data.
Table 7
Classification of predicted counts based on estimated bivariate binary logistic regression model of child CIAF and HHWI
  
HHWI
   
rich
poor
observed
predicted
observed
predicted
CAIF
Yes
2363
2030
(1100)
(3420)
No
3010
(2060)
2008
(2831)

Discussion

In this study, attempt was made to demonstrate the effects of children and households’ characteristics on children composite index anthropometric failure (CIAF) by considering its dependency with household wealth index (HHWI). A single CIAF was computed from the three classical anthropometric indices and recoded into binary outcome as they have a multidimensional nature [14]. Bivariate binary logistic regression model was employed to determine the effects of covariates on CIAF and HHWI. Based on this model and exploratory data analysis, significant dependency between CIAF and HHWI was noticed. This study demonstrated that child CIAF has significant association with household wealth index given other children’s and households’ characteristics.
This study reveals that the prevalence of child CIAF in Ethiopia was high (46.7%) and which has been also discussed in previous studies [3, 5, 14, 21]. This study found that region in Ethiopia has significant effect on child CIAF and household wealth index. The risk of child CIAF in Tigray was higher than Oromia (OR = 0.60), Somalie (OR = 56), Gambela (OR = 0.67), SNNPR (OR = 0.52), Hararie (OR = 0.60) and Addis Ababa (OR = 0.44). This finding of the study was consistent with different domestic research [5, 22], that reported children who are living in Tigray region have a higher risk of child CIAF compared to children living in Oromia, Somalie, Gambela, SNNPR, Harari, and Addis Ababa. Place of residence has significantly associated with household wealth index. Studies done by Tekile et al., Talukder, and Silveira et al. [4, 5, 21] states that compared to children from middle class and rich households, the likelihood of switching status from malnourished to nourished nutritional status was lower for children from poor household. This indicates that children who were living in rural area is more likely to be CIAF than children living in urban area. This is because of limited infrastructure that enables to affect a family to access food, health-care facility, exchange desired commodities, and so on. This finding was also in line with studies done in Bangladesh and Ethiopia [4].
As education level of mothers and husbands/partners getting higher, the likelihood of child exposed to CIAF was lower. Children whose mothers and husband/partners had never attended education were more likely to exposed to CIAF compared to children whose mothers and husband/partners had primary, and secondary and higher education which was consistent with studies conducted in Ethiopia [5, 22]. These studies reported that children whose mothers had never attended education were significantly more likely to be stunted, underweight, and/or under nutrition as compared to children whose mothers had primary, and secondary and above education level. Moreover, religion of the household was also an important determinate that significantly associated with child CIAF.
The result showed that a child whose household religion orthodox was less likely to be CIAF and more likely to be rich compared to its counterpart. Whereas the reality in Ethiopia shows that the majority Muslim and protestant households were lived in urban area whereas the majority orthodox households are living in rural area where health care facilities, child feeding practice, access to improved water, and so on are less accessible and poverty is very high (OR for urban versus rural is 15.49). Mostly mothers in rural area are participated in farming activities and giving less attention to feed and care of their child. Beyond to this, orthodox mothers are commonly fasting during their prenatal and postnatal period. Therefore, the pre-specified and other issues may be responsible for child CIAF whose household beliefs orthodox than other religious in contrast of this study. In addition, the household who drank improved water were more likely to be rich compared to the household who drank unimproved water.
The existence of CIAF was significantly differ within sex of child and multiple of birth i.e., males were more likely to be CIAF compared to females and multiple birth children were more likely to be CIAF compared to single birth. This result is in line with studies done at Ethiopia and Favelas Brazil [5, 11]. On the other hand, compared to children who drank unimproved water, children who drank improved water were less likely to belonging in poor household and this led to less likely to be CIAF, which is supported by previous study findings [11, 14]. Like a study done in Ethiopia [5], number of under five children in the household was an important determinant effect on child CIAF. Children from a household having two under five children were 1.21 times more likely to be CIAF compared to a household having one under five children.
Unlike a study in Ethiopia and Brazil [5, 11], mothers age at first birth and child age were insignificantly associated with child CIAF in this study. This may because of the methodology difference, i.e., in this study a bivariate binary logistic regression accounting the dependency of a single CIAF and household wealth index was employed whereas the previous studies were used binary and ordinal univariate logistic regression.
Mothers’ body mass index was significantly associated with child CIAF which in line with a study done by Silveira et al. [21] and they stated that short height and poor weight of mothers were associated with child malnutrition. Moreover, this study found that anemic children were more exposed to CIAF compared to non-anemic children that in line with a study done in Ethiopia [22].

Conclusion

The prevalence of children with composite index anthropometric failure was high and closely tied with the household wealth index. Among covariates region, religion, residence, education level of women and husband, sex of child, number of under five children, household size, source of drinking water, mothers body mass index, multiple birth, birth order, and anemia level of children were found as significantly associated factors for child composite index anthropometric failure and household wealth index. This means that children from poor households are more likely to be underfed, get sick, least likely to access safe water and receive sufficient health-care facilities, and exposed to composite index anthropometric failure. Thus, the authors recommend to concerned bodies and policymakers work on household wealth index to reduce the prevalence of child composite anthropometric failure.

Acknowledgments

The authors are thank full to Ethiopian Demographic and Health survey for data availability.

Declaration

The ethical clearance for 2016 EDHS was approved by Ethical Review Board of Ethiopia Central Statistical Agency (ECSA) and all participants who agreed to take part in the survey signed a consent form. Hence, author asked the permission to use data via online form and the data manager has given permission to use the data for this study.
Not Applicable.

Competing interests

The authors declare that they have no competing interests.
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Metadaten
Titel
Bivariate binary analysis on composite index of anthropometric failure of under-five children and household wealth-index
verfasst von
Demeke Lakew Workie
Lijalem Melie Tesfaw
Publikationsdatum
01.12.2021
Verlag
BioMed Central
Erschienen in
BMC Pediatrics / Ausgabe 1/2021
Elektronische ISSN: 1471-2431
DOI
https://doi.org/10.1186/s12887-021-02770-5

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