The current cross-sectional study was conducted in 2015 in Sanandaj city, the capital of Kurdistan province in the west of Iran, on 2506 male and female students aged 10 - 12 years, using multistage sampling. More details about the sampling method are presented elsewhere (
17). The diet was evaluated using food frequency questionnaire (FFQ), which its validity is reported in previous studies in Iran (
18). FFQ evaluates the frequency of food consumption on a daily, monthly, and yearly basis, according to their consumption unit. It also classifies different foods according to their similarities (
19). Children whose food complied with the guideline received score 1 and the others zero. Participants were divided into two groups with healthy and unhealthy diet according to the obtained scores. Children in the highest quartile of eating habits were considered children with healthy diet (
20). For SES variable, a questionnaire including the number of household assets was used. The principal composition analysis (PCA) technique was employed to calculate asset index that was divided into five quintiles including very poor, poor, moderate, rich, and very rich (
21,
22).
To measure the inequalities, concentration curve (CC) and concentration index were used. Concentration index varies from -1 to +1; negative concentration index above the equality line indicates pro-poor outcome variable and positive values indicate pro-rich inequality. If the concentration index is zero, the CC is tangent to the equality line and no inequalities exist. The Kakwani method was used to calculate the concentration index. Due to binary variables, the Wagstaff correction was used (
23,
24). The formula for the Kakwani method is as follows:
The Blinder-Oaxaca decomposition was used to analyze the gap between the rich and poor groups. The Blinder-Oaxaca decomposition determines how much a given variation in inequality X changes the mean Y. This analysis breaks down the observed differences into two components as the following formula. The inequality associated with the differences in the mean of the determinants is referred to as X or the explained component, and the inequality related to the differences in the responses given by the different SESs or the difference of the coefficients is referred to as β or the unexplained component. CE is the interaction between the explained component and the coefficients (
25).
The Blinder-Oaxaca decomposition was used to calculate the contribution of each of these components to the total difference:
Where y is the mean of the outcome variable, i.e. unhealthy diet, G0 the intercept difference, G1 the difference of x1 and β1, and G2 the difference of x2 and β2.
To carry out the decomposition, the relationship between unhealthy diet and the different determinants, including age, gender, parents’ level of education, parents’ age, and the SES were first evaluated using the logistic regression. The variables that were significantly related to unhealthy diet were then transferred to the Blinder-Oaxaca model. P value < 0.05 was considered as the level of significance for all the models (
23). The data obtained were analyzed using Stata version 13 and SPSS version 20.