%0 Journal Article
%T Time Series Analysis on Reported Cases of Tuberculosis in Minna Niger State Nigeria
%A Olanrewaju Samuel Olayemi
%A Ojo Emmanuel Oluwatosin
%A Oguntade Emmanuel Segun
%J Open Journal of Statistics
%P 412-430
%@ 2161-7198
%D 2020
%I Scientific Research Publishing
%R 10.4236/ojs.2020.103027
%X Predicting the trend of non-seasonal data is a difficult task in Social
Science. In this research work, we used time series analysis of 144
observations on monthly basis for record of reported cases of tuberculosis patients
in Minna General Hospital, Niger State from the period of 2007-2018.
Exploratory Data Analysis (EDA: Time Plot and Descriptive Statistics),
Stationarity Test (ADF), Trend estimation (<i><span style=\"font-family:Verdana;\">T</span><sub><span style=\"font-family:Verdana;\">t</span></sub></i><span style=\"font-family:Verdana;\">),
Normality Test, and Forecast evaluation were carried out. The Augmented Dickey
Fuller test for stationarity was conducted and the result revealed that the
series are not stationary but became stationary after first difference. The
correlogram established that the ARIMA (2, 1, 3) was the best model this was
further confirmed from the result of L-jung Box. Equation for ARIMA (2, 1, 3)
was given as </span><i><span style=\"font-family:Verdana;\">X</span><sub><span style=\"font-family:Verdana;\">t</span></sub></i><span style=\"font-family:Verdana;\"> + 0.6867</span><i><span style=\"font-family:Verdana;\">X</span><sub><span style=\"font-family:Verdana;\">t-</span></sub></i><sub><span style=\"font-family:Verdana;\">1</span></sub><span style=\"font-family:Verdana;\"> ¨C 0.8859</span><i><span style=\"font-family:Verdana;\">X</span><sub><span style=\"font-family:Verdana;\">t-</span></sub></i><sub><span style=\"font-family:Verdana;\">2</span></sub><span style=\"font-family:Verdana;\"> = </span><i><span style=\"font-family:Verdana;\">E</span><sub><span style=\"font-family:Verdana;\">t</span></sub></i><span style=\"font-family:Verdana;\"> + 1.3077</span><i><span style=\"font-family:Verdana;\">E</span><sub><span style=\"font-family:Verdana;\">t-</span></sub></i><sub><span style=\"font-family:Verdana;\">1</span></sub> -<span><span><span style=\"font-family:;\" \"=\"\"><span><span style=\"font-family:Verdana;\"> 1.2328</span><i><span style=\"font-family:Verdana;\">E</span><sub><span style=\"font-family:Verdana;\">t-</span></sub></i><sub><span style=\"font-family:Verdana;\">2</span></sub><span style=\"font-family:Verdana;\"> + 0.5788</span><i><span style=\"font-family:Verdana;\">E</span><sub><span style=\"font-family:Verdana;\">t-</span></sub></i><sub><span style=\"font-family:Verdana;\">3</span></sub><span style=\"font-family:Verdana;\">.
Which was used to predict five years likely cases of tuberculosis in Minna for
the period of 2019-2023. It was clearly shown from the projection that the
reported cases of tuberculosis
%K Tuberculosis
%K Infectious
%K Vaccine
%K Stationarity
%K White Noise Process
%K Stochastic Process
%K Gaussian Process
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=100621