2014-2016年伊朗毒品相关死亡的时间序列建模与预测

Mehran Zarghami, Omid Kharazmi, Abbas Alipour, Masoudeh Babakhanian, Ardeshr Khosravi, Seyyed Davood Mirtorabi
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摘要

背景:研究药物相关死亡的时间变化和趋势预测有助于预防健康问题和制定干预方案。伊朗最近的政策非常侧重于阻止吸毒和用合法药物取代非法药物。本研究旨在调查2014-2016年伊朗与毒品有关的死亡人数,并预测到2019年的死亡人数。方法:在本纵向研究中,采用Box-Jenkins时间序列分析预测药物相关死亡。为此,从2014年3月至2017年3月,每月统计了与毒品有关的死亡人数。数据处理后,利用自相关函数(ACF)图和部分自相关函数(PACF)图确定自回归综合移动平均(ARIMA)模型的参数,以获得平稳时间序列,并用Dickey-Fuller检验检验稳定性假设。基于赤池统计,选择ARIMA(0,1,1)作为最优拟合模型。此外,还使用Dickey-Fuller检验来确认转换观测的时间序列的平稳性。使用ARIMA(0,1,2)模型对未来36个月进行预测,并对所有月份应用相同的置信区间。最终提取的数据使用R软件、Minitab和SPSS-23进行分析。调查结果:根据伊朗卫生部和法律医学组织的数据,从2014年3月到2017年3月,伊朗有8883例与毒品有关的死亡。根据时间序列发现,这一数字呈上升趋势,没有任何季节性模式。据预测,到2019年,伊朗与毒品有关的平均死亡率将为每月245.8例。结论:本研究显示,在研究期间,药物相关死亡率呈上升趋势,预测建模过程表明,如果不采取适当的干预措施,这一趋势将持续到2019年。
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Time Series Modeling and Forecasting of Drug-Related Deaths in Iran (2014-2016)
Background: Investigating the temporal variations and forecasting the trends in drug-related deaths can help prevent health problems and develop intervention programs. The recent policy in Iran is strongly focused on deterring drug use and replacing illicit drugs with legal ones. This study aimed to investigate drug-related deaths in Iran in 2014-2016 and forecast the death toll by 2019. Methods: In this longitudinal study, Box-Jenkins time series analysis was used to forecast drug-related deaths. To this end, monthly counts of drug-related deaths were obtained from March 2014 to March 2017. After data processing, to obtain stationary time series and examine the stability assumption with the Dickey-Fuller test, the parameters of the Autoregressive Integrated Moving Averages (ARIMA) model were determined using autocorrelation function (ACF) and partial autocorrelation function (PACF) graphs. Based on Akaike statistics, ARIMA (0, 1, 1) was selected as the best-fit model. Moreover, the Dickey-Fuller test was used to confirm the stationarity of the time series of transformed observations. The forecasts were made for the next 36 months using the ARIMA (0,1,2) model and the same confidence intervals were applied to all months. The final extracted data were analyzed using R software, Minitab, and SPSS-23. Findings: According to the Iranian Ministry of Health and the Legal Medicine Organization, there were 8883 drug-related deaths in Iran from March 2014 to March 2017. According to the time series findings, this count had an upward trend and did not show any seasonal pattern. It was forecasted that the mean drug-related mortality rate in Iran would be 245.8 cases per month until 2019. Conclusion: This study showed a rising trend in drug-related mortality rates during the study period, and the modeling process for forecasting suggested this trend would continue until 2019 if proper interventions were not instituted.
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