Journal of Biostatistics and Epidemiology 2016. 2(3):152-157.

Modeling and trend analysis of leukemia in children using time series methods
Marzieh Mahmudimanesh, Abbas Bahrampour, Nooshin Akbari Sharak, Zahra Farahmandinia


Background & Aim: Time series analysis is used to detect a model and predict the future amounts of the series, which is based on previous data. One of the commonly used models in time series is autoregressive integrated moving average (ARIMA) model. 30% of diseases in children are acute leukemia, out of which acute lymphoblastic leukemia (ALL) and acute myeloid leukemia (AML) consist 97% of acute leukemia types. In this study which is a modeling study, the ARIMA time series model is fitted on the acute leukemia cancer in children and the best model is selected.
Methods & Materials: This study which is related to the children with cancer ALL and AML, and includes age groups from 1 year old to 15 years old, the ARIMA time series model is fitted on these data, and the best model is selected based on the Akaike information criteria. Trend analysis was also conducted based on the criteria R2 and mean squared error, mean absolute deviation, and mean absolute percentage error were considered as the best equations for the series.
Results: ARIMA models are investigated, and the best model is selected and also it was shown that the procedure of catching blood cancer has been increasingly from 82 to 88 and then decreasingly but it may get an increasing procedure in the future. Furthermore, the procedure was shown in two sexual groups and it was observed that catching blood cancer had a decreasing procedure in men and had an increasing procedure in women and appropriate ARIMA model was also determined for each group.
Conclusion: According to the forecasts for the next 10 years, the incidence of this cancer will be increasing in the future. There was an increasing trend for female group and a downward trend for male group.


Time series; Auto regressive integratedmoving average; Trend analysis; leukemia; Acute lymphoblasticleukemia; Acute myeloid leukemia

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Mousavi SM, Pourfeizi A, Dastgiri S. Childhood cancer in Iran. J Pediatr Hematol Oncol 2010; 32(5): 376-82.

El-Mallawany NK, Frazer JK, Van Vlierberghe P, Ferrando AA, Perkins S, Lim M, et al. Pediatric T- and NK-cell lymphomas: new biologic insights and treatment strategies. Blood Cancer J 2012; 2(4): e65.

Bandyopadhyay R, Sinha SK, Chatterjee U, Nag D, Mukhopadhyay S, Chowdhury SR, et al. Primary pediatric gastrointestinallymphoma. Indian J Med Paediatr Oncol 2011; 32(2): 92-5.

Mehrvar A, Rahiminejad MS, Hedayati Asl AA, Tashvighi M, Faranoush M, Alebouyeh M, et al. Features of childhood acute myeloid leukemia in Iran: a report from double center study. Acta Med Iran 2015; 53(12): 749-52.

Xie Y, Davies SM, Xiang Y, Robison LL, Ross JA. Trends in leukemia incidence and survival in the United States (1973-1998). Cancer 2003; 97(9): 2229-35.

Curado MP, Pontes T, Guerra-Yi ME, Cancela MC. Leukemia mortality trends among children, adolescents, and young adults in Latin America. Rev Panam Salud Publica 2011; 29(2): 96-102.

Imamura Y, Mizuno S. Comparison of leukemia mortality in five countries: France, Italy, Japan, UK and USA from the WHO Mortality Database (1960-2000). Jpn J Clin Oncol 2005; 35(7): 420-3.

Kis M. Time series models on analysing mortality rates and acute childhood lymphoid leukaemia. Proceedings of MIE2005: the 19th International Congress of the European Federation for Medical Informatics; 2005 Aug 28-31; Geneva, Switzerland.

Bae JM, Jung KW, Won YJ. Estimation of cancer deaths in Korea for the upcoming years. J Korean Med Sci 2002; 17(5): 611-5.

Fazeli Z, Pourhoseingholi MA, Vahedi M, Abadi A, Fazeli Bavand-Pour FS, Baghestani AR. Leukemia cancer mortality trend in iran, from 1995 to 2004. Iran J Cancer Prev 2013; 6(3): 170-3.

Niroumand HA, Bozorgnia SA. Time series. Tehran, Iran: Payame Noor University Publications; 2006. [In Persian].

Roya N, Abbas B. Colorectal cancer trends in Kerman province, the largest province in Iran, with forecasting until 2016. Asian Pac J Cancer Prev 2013; 14(2): 791-3.


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