In this study, a time series modeling approach is used
to determine an ARIMA model and advance
counterfactual forecasting at a point of policy intervention. We consider
monthly data of HIV/AIDS cases from the Ministry of Health (Copperbelt
province) of Zambia, for the period 2010 to 2019 and have a
total of 120 observations. Results indicate that ARIMA (1,0,0) is an adequate model which best fits the HIV/AIDS
time series data and is, therefore, suitable for forecasting cases. The model
predicts a reduction from an average of 3500 to 3177 representing 14.29% in
HIV/AIDS cases from 2017 (year of policy activation) to 2019, but the actual
recorded cases dropped from 3500 to 1514 accounting for 57.4% in the same time
frame.
References
[1]
World Health Organization (2020) World HIV/AIDS Report. Geneva, Switzerland. https://www.who.int/news-room/fact-sheets/detail/hiv-aids
[2]
Zambia Statistical Agency (2016) Zambia Population HIV Impact Assessment (Zamphia) Survey. https://www.zamstats.gov.zm/
[3]
Unaids and Joint United Nations Programme on HIV/AIDS (2010) Getting to Zero: 2011-2015 Strategy. World Health Organization.
[4]
Brodersen, K.H., Gallusser, F., Koehler, J., Remy, N. and Scott, S.L. (2015) Inferring Causal Impact Using Bayesian Structural Time-Series Models. The Annals of Applied Statistics, 9, 247-274. https://doi.org/10.1214/14-AOAS788
[5]
Box, G.E., Jenkins, G.M., Reinsel, G.C. and Ljung, G.M. (2015) Time Series Analysis: Forecasting and Control. John Wiley & Sons, Hoboken.
[6]
Ma, Z.Q., Kuller, L.H., Fisher, M.A. and Ostroff, S.M. (2013) Peer Reviewed: Use of Interrupted Time-Series Method to Evaluate the Impact of Cigarette Excise Tax Increases in Pennsylvania, 2000-2009. Preventing Chronic Disease, 10.
https://doi.org/10.5888/pcd10.120268
[7]
Taljaard, M., McKenzie, J.E., Ramsay, C.R. and Grimshaw, J.M. (2014) The Use of Segmented Regression in Analysing Interrupted Time Series Studies: An Example in Pre-hospital Ambulance Care. Implementation Science, 9, Article No. 77.
https://doi.org/10.1186/1748-5908-9-77
[8]
Grundy, C., Steinbach, R., Edwards, P., Green, J., Armstrong, B. and Wilkinson, P. (2009) Effect of 20 mph Traffic Speed Zones on Road Injuries in London, 1986-2006: Controlled Interrupted Time Series Analysis. BMJ, 339, b4469.
https://doi.org/10.1136/bmj.b4469
[9]
William, W.S. and Wei, S. (2006) Time Series Analysis: Univariate and Multivariate Methods. USA, Pearson Addison Wesley, Segunda Edicion, 212-235.
[10]
Jere, S. and Moyo, E. (2016) Modelling Epidemiological Data Using Box-Jenkins Procedure. Open Journal of Statistics, 6, 295-302.
https://doi.org/10.4236/ojs.2016.62025
[11]
Siluyele, I. and Jere, S. (2016) Using Box-Jenkins Models to Forecast Mobile Cellular Subscription. Open Journal of Statistics, 6, 303-309.
https://doi.org/10.4236/ojs.2016.62026