Browsing by Author "Ikoba, N. A."
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Item Analysis of a Three-Queue Polling System with Probabilistic Routing(Faculty of Physical Sciences, University of Ilorin, Ilorin, Nigeria, 2014-06-01) Ikoba, N. A.; Obilade, T. O.In this paper, we consider a three-queue polling system with probabilistic routing. The choice of the queue to be visited next may depend on the current state of the system through the polling probability. Using the embedded Markov chain technique, we derived expressions for the steady-state joint and marginal queue length distribution at the switch points, as well as the waiting time distribution at each queue. The relation between the queue length and waiting time distributions becomes inherent in the model, providing a platform for easily computing waiting time moments.Item An Analysis of the Gender Distribution in Nigeria.(Faculty of Physical Sciences and Faculty of Life Sciences, University of Ilorin, Nigeria, 2016-08-01) Sanni, O. O. M.; Ikoba, N. A.; Abidoye, A. O.; Job, O.The gender distribution in Nigeria from early education up till the highest levels of decision-making is explored in this study. The objectives were to: examine the progression in the gender distribution from early education to the high decision-making positions; test for gender parity in education and some subdivisions of the labour force in Nigeria, and in cases where there are disparities, to ascertain the degree of such disparities based on the 35% benchmark for females, set out in various global and national protocols. Data was elicited from several sources covering education, public service, politics and the judiciary. Tests of hypothesis were carried out to test for gender parity in education and to ascertain the level of attainment of the minimum threshold in other segments of the population. The gender progression curve was also presented to give a graphical overview of the movement of the gender distribution. Our results show that while progress has been made in bridging the gender gap in education, disparities still exist in other sectors. The female population in the lower and middle level manpower positions significantly exceed the 35% benchmark,while the female proportion in the high positions remains very low, under 10%.Item Application of Pearson’s X^2 Test of Independence with Small Expected Cell Frequencies. Abacus(Mathematical Association of Nigeria, 2016-08-01) Sanni, O. O. M.; Abidoye, A. O.; Ikoba, N. A.Pearson’s X^2 is re-examined within the context of small expected cell frequency (e_ij< 5), for the Pearson’s X^2 statistic to satisfy the asymptotic approximation to Chi-square distribution. This paper proposes scalar multiplier theta > 0, such that theta(e_ij') ≥ 5, where e_ij' is the smallest expected cell count in the contingency table under consideration. The product of the sample size ‘n’ and ‘theta ’ results in each cell count becoming (theta)n_ij, which does not cause any change in the cell probabilities. Thus the assumption of independence is thereby satisfied. This approach guarantees the safe application of Pearson’s X^2 for test of independence under small expected cell counts with the degrees of freedom also multiplied by theta.Item Modelling of Enugu Monthly Rainfall Using Box and Jenkins Methodology.(Tibiscus University of Timişoara, România., 2018-06-01) Adejumo, A. O.; Oloyede, T. O.; Adejumo, O. A.; Oguntunde, P. E.; Odetunmibi, O. A.; Ikoba, N. A.; Job, O.The paper examined the rainfall distribution of Enugu state in Nigeria. Box-Jenkins methodology was used to build ARIMA model to analyze data and forecast for the period of 15 years, from January, 2002 to December, 2016 and to predict for the future. We observed that the average annual rainfall of Enugu state ranges from 124mm to 179mm. The irregularity in annual rainfall of Enugu State one and half decades ago is a bit large, indicating that climate stability is high in the state. Different time series models were diagnostically checked, and tested for Enugu state and at last an SARIMA (0, 0, 0)(1, 0, 1)12 model is chosen as the proposed best model. The proposed model was used to forecast two years’ monthly rainfall value for the state. The results indicated that relatively there is a tendency of increasing in trend of future rainfall values in the state.Item Quantitative Exploration of Factors Influencing Psychotic Disorder Ailments in Nigeria(Elsevier, 2017-07-25) Adejumo, A. O.; Ikoba, N. A.; Suleiman, E. A.; Okagbue, H. I.; Oguntunde, P. E.; Odetunmibi, O. A.; Job, O.In this data article, records on demographic data, family problem issues, as well as results of medical tests from five major classes of psychotic disorder namely: bipolar; vascular dementia, minimal brain dysfunction; insomnia; and schizophrenia, were collected on 500 psychotic patients carefully selected from the pool of medical records of Yaba Psychiatric Hospital, Lagos, Nigeria, for the period of 5 years, between January 2010 and December 2014, were examined. X-squared Statistic was used to examine each of psychotic disorders to identify demographic (age, gender, religion, marital status, and occupation) and family issues (loss of parent, history of such ailment in the family (family status), divorce, head injury, and heredity of such ailment (genetic) factors that influence them. A clear description on each of these psychotic disorders (bipolar; vascular dementia, minimal brain dysfunction (MBD), insomnia and Schizophrenia) was considered separately using tables and bar diagrams. Data analysis results are as follows: firstly, 40.2%, of the 500 psychotic patients tested positive to bipolar, 40.6% to insomnia, 75.0% to schizophrenia, 43.6% to MBD and 69.2% to vascular dementia. Secondly, female patients were more prone to all the psychotic indicators than their male counterpart except in MBD. Thirdly, the oldest age group (>60 years) is more prone to bipolar and insomnia ailments, while the mid age group (30 – 60 years) is prone to schizophrenia and vascular dementia, and the youngest group (< 30 years) is prone to MBD. Lastly, the factors that influence the ailments are listed: bipolar (age, occupation, marital status, divorce, and spiritual consultation); insomnia (age, occupation, marital status, divorce, and spiritual consultation); schizophrenia (age, occupation, religion, marital status, hereditary, and divorce); MBD (gender, age, occupation, and marital status); and vascular dementia (history of the ailment and spiritual consultation). Bipolar and insomnia are influenced by the same set of factors, which implies that any patient having one is most likely to be at risk of having the other.Item A Stochastic Model of Indigenous Language Extinction in Nigeria(College of Natural and Applied Sciences, Al-Hikmah University, Ilorin, Nigeria, 2016-09-01) Ikoba, N. A.; Jolayemi, E. T.The need to effectively capture indigenous language decline is explored in this study. Language decline was conceptualized as a Poisson process in order to study the dynamics. Expressions and estimates were derived for the intergenerational transmission probability, the probability of eventual extinction and the mean number of transfers per family. For model validation, a household survey was conducted in Salem City, Warri, Nigeria. Demographic information about the community was elicited through a multi-dimensional questionnaire, which also provided information on the actual number of children who were able to imbibe their heritage language, across two generations. A massive demographic shift was observed in the family sizes over the two generations studied. There was also a general decline in intergenerational transmission, pointing to the possible extinction of such languages in generations to come. Our study also showed that a great proportion of parents in the sampled community have indigenous language ability but hardly impart such to their offspring. The findings further indicated that some indigenous languages are under serious threat of extinction if conscious steps are not taken to arrest the decline. This model can be used to ascertain the status of any indigenous language globally.Item A Study of Prominent Crimes in Kwara State Nigeria(University of Lome, Togo., 2017-06-25) Adejumo, A. O.; Hammed, A. A.; Ikoba, N. A.; Job, O.; Adeniyi, I. O.; Oguntunde, P. E.; Odetunmibi, O. A.; Akinrefon, A. A.Nigeria has been experiencing high rate of criminal activities where crimes are being carried out with more perfect and sophistication for over ten years now. The recent amongst are the insurgent called Boko Haram who believed that western civilization of education for all is unlawful and the Avengers also called Militants in the Niger Delta part of Nigeria who believed the Government is cheating their people in that region. The data for this study contained records of different crime committed in Kwara states between 2004 and 2014. This research work is to: identify the prominent crime types; determine the association that existed between pairs of crime types; reduce the dimension of the data using statistical tools; and classify the crime types in different colonies. Principal Component, Biplot, correlation analysis and other statistical tools were utilized in this paper. The pair wise correlation test of significance table indicated that, out of the 45 pair wise correlations, only 6 are significant at 5% and these include; homicide-suicide, homicide-robbery, suicide-robbery, rape-theft, assault-broken, broken-theft and broken-unlawful. We observed that crime types such as assault, unlawful, broken and theft can be grouped together as the most frequent crimes committed; the prevailing cases occurred in the year 2006 and 2008. We also observed that, suicide, homicide and robbery formed the next group, which are more frequent in the year 2009, 2010 and 2011. Kidnapping and arson are not frequently committed but they are more prominent in the year 2012 and 2013. Rape formed the lowest standalone crime type committed and also less frequent with no year of prevailing occurrence.