Background Time to age at first marriage of women is the duration of time until the age at which they started living with their first partner. Time to age at first marriage is widely considered a proxy indicator for the age at which women begin to be exposed to the risks inherent in sexual activity. The purpose is to model the determinant of time to age at first marriage among women in Ethiopia using Cox models with mixed effects. Methods The 2016 Ethiopian Demography and Health survey sample was selected using a two-stage cluster design. The data set in this study were obtained from the Demography and Health survey conducted in Ethiopia in 2016. In this study, we used Cox models with mixed effects. Results Of all 15,683 women aged 15–49 years, 11,405 (72.72%) were married with the median and mean age at first marriage 17 years and 18 years, respectively. Cox frailty survival model showed that residence, educational level, occupation, work status of women& head education level of households were the most significant factors whereas religion, access to media and wealth index of a household of women were not significant factors at 5% level of significance. The significant clustering effect showed that heterogeneity among the regions on age at first marriage was present. Conclusions The present study determined the duration of time until the age at first marriage and indicated relevant solutions for marriage-related problems of women aged 15–49 years in Ethiopia. Women residing in rural area of Ethiopia and had lower education level were married earlier. Therefore, programs to reduce the high rate of early marriage in Ethiopia should give attention to women education and women residing in rural area.

Objective The main objective of this study is to fit Log logistic-Gamma shared frailty model for the determinant of time to age at first marriage among women in Ethiopia. Methods The data set in this study were obtained from Demography and Health survey conducted in Ethiopia in 2016. In this study, we used Log logistic-Gamma shared frailty model to account for the loss of independence that arises from the clustering of women in region of Ethiopia. A total of 12,066 women aged 15–49 in Ethiopia were included in this study. Results Of all 12,066 women aged 15–49, 9466 (78.45%) were married and the median & mean age at first marriage for women living in Ethiopia were 17.2 years and 17.5 years respectively, while the minimum and maximum age at first marriage observed were 8 years and 49 years respectively. Conclusion The most significant contributing factors to delaying time to age at first marriage of women aged 15–49 in Ethiopia were increased education level of women, increased education level of the head, increased income, residing in urban and being followers of religion other than orthodox, catholic, protestant & Muslim. The heterogeneity of age at first marriage for women aged 15–49 among regions in Ethiopia was observed. The government of Ethiopia and the concerned bodies should revise the women's health policy and practice to reduce early marriage and give attention to women; illiterate, live in rural areas, and have illiterate and poor heads.

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In 2019 among all populous countries in Africa, Ethiopia has the fourth-highest number of people with diabetes (1.7 million). This aggravated prevalence figure implies that diabetes mellitus is a major public health problem in Ethiopia. Due to urbanization, this problem is very critical in the Amhara region, Ethiopia. The study aimed to identify factors that affect the longitudinal fasting blood sugar among T1DM (Type I diabetes mellitus) patients in Debre Tabor General Hospital (DTGH); North-west Ethiopia. A retrospective study design was conducted from 210 randomly selected T1DM patients in the clinic (Outpatient Department) at Debre Tabor General Hospital under the follow-up period from September 2019 to August 2021. To fit these retrospective data records, we used Random intercept and slope models. In this study, the unstructured variance–covariance structure was the appropriate structure for the random intercept and slope model. At a 5% level of significance, family history of diabetes mellitus, age, comorbidity, hemoglobin, and visit time in months were significant factors. Also, all the random effect parameters were statistically significant. It implies that the variability within and between T1DM patients in FBS over time was statistically significant. The mean fasting blood sugar level at baseline was 5.4944 mg/dl and decreased to 5.0679 mg/dl at the final follow-up time. Major contributors for the increment of fasting blood sugar level were increasing age, decreasing haemoglobin, having comorbidity, and belonging from a family with diabetes history. The overall within and between variability in fasting blood sugar level among T1DM patients in DTGH were high. Intervention measures at DTGH level should be undertaken using health education and other measures by providing an emphasis on the prevention, early detection, and treatment of diabetes mellitus.

Background Time to age at first marriage of women is the duration of time until the age at which they started living with their first partner. Time to age at first marriage is widely considered a proxy indicator for the age at which women begin to be exposed to the risks inherent in sexual activity. The purpose is to model the determinant of time to age at first marriage among women in Ethiopia using Cox models with mixed effects. Methods The 2016 EDHS sample was selected using a two-stage cluster design. The data set in this study were obtained from the Demography and Health survey conducted in Ethiopia in 2016. In this study, we used Cox models with mixed effects. Results Of all 15,683 women aged 15–49, 11,405(72.72%) were married and the median & mean age at first marriage for women living in Ethiopia were 17 years and 18 years respectively. Conclusions Based on the AIC criterion Cox frailty survival model (log-normal frailty distribution) was selected among Cox models with mixed effects as a better fit for the dataset. Analyzing based on the selected model showed that residence of women, educational level of women, head occupation, work status of women & head educational level were the most significant factors and religion of women, access to media of women & wealth index of a household were not significant factors at 5% level of significance. The clustering effect was significant and hence there was heterogeneity among the regions on age at first marriage.