Department of Mathematics and Computer Science
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OVERALL CENTRAL MOMENTS OF TRAFFIC DELAY AT A SIGNALIZED INTERSECTION
(University of Eldoret, 2013)Overall traffic delay model for estimating the mean and variance at a signalized intersection is discussed. The model was developed under basis of two delay components, namely deterministic and stochastic components. The ... 
STUDY OF STEADY AND UNSTEADY VISCOUS INCOMPRESSIBLE MHD FLUID FLOW
(University of Eldoret, 2017)An analytical study of laminar steady, viscous, incompressible Couette fluid flow between two infinite parallel plates under the influence of transverse magnetic field is studied. The resulting governing partial differential ... 
EOPTIMAL DESIGNS FOR SECONDDEGREE KRONECKER MODEL MIXTURE EXPERIMENTS
(University of Eldoret, 2013)Many products are formed by mixing together two or more ingredients. For example, in building construction, concrete is formed by mixing sand, water and cement. Many practical problems are associated with investigation of ... 
Optimization of SplitPlot Design in the Context of Mixture Process Variable Settings
(Asian Journal of Probability and Statistics, 202104)In the presence of process variables, a mixture design has become wellknown in statistical modeling due to its utility in modeling the blending surface, which empirically predicts any mixture's response and serves as the ... 
Exploration of D, A, I and G Optimality Criteria in Mixture Modeling
(Asian Journal of Probability and Statistics, 202105)A design optimality criterion, such as D, A, I, and G optimality criteria, is often used to analyze, evaluate and compare different designs options in mixture modeling test. A mixture test is an experiment where ... 
The effect of a difference in angle in two lateral inflow channels on the main channel's velocity
(International Journal of Statistics and Applied Mathematics, 202104)In this study, we examined the flow from two lateral inflow channels in a manmade open rectangular channel of an incompressible Newtonian fluid. The influences of the angles as it varies directly proportional to each ... 
Modeling Key Drivers of UnderFive Child Malnutrition in Marsabit County, Kenya: Application of the Logit Model
(Asian Journal of Probability and Statistics, 202104)Malnutrition remains one of the major problems in developing countries affecting both adults and children under 5 years. The use of binary logistic regression model was employed, and parameters of interest estimated. ... 
USE OF TAYLOR’S SERIES EXPANSION IN DEVELOPING FINITE DIFFERENCE METHODS FOR SOLVING THE WAVE EQUATION
(University of Eldoret, 2021)Hyperbolic partial differential equations (PDEs) are used to model physical phenomena such as wave propagation. Among the simplest hyperbolic equations are the 1D advection equation which is a first order PDE and the 1D ... 
MATHEMATICAL MODELLING ON THE IMPACT OF HOSPITALIZATION IN THE MANAGEMENT OF TYPHOID FEVER
(University of Eldoret, 2021)Typhoid fever disease is an infectious ailment which mostly leads to diarrhoea, headache, high fever and stomach pains. This disease is majorly caused by a bacterial infection known as Salmonella typhi. Typhoid fever has ... 
MATHEMATICAL MODELING OF FLOW OF WATER IN AN OPEN CHANNEL OF PARABOLIC CROSSSECTION
(University of Eldoret, 2021)This study investigates open channel flows with a parabolic crosssection. The objectives of this study were to examine the effects of top width, channel slope, and energy coefficient on flow velocity. The methodology used ... 
THE EFFECT OF TWO LATERAL INFLOW CHANNELS ON MAIN CHANNEL DISCHARGE
(University of Eldoret, 2021)In this study, we examined the flow from two lateral inflow channels in a manmade open rectangular channel of an incompressible Newtonian fluid. The influence of crosssectional area, length of two lateral inflow channels, ... 
MATHEMATICAL MODELLING OF FLOW OF FERTILIZERWATER MIXTURE THROUGH SOIL AND ITS EFFECT ON PLANT GROWTH.
(University of Eldoret, 2021)The demand for food in developing countries is increasing daily due to population growth and dropping crop yields caused by climatic changes and acidic soils due to continuous use of inorganic fertilizers that are meant ... 
MODELING KEY DRIVERS OF UNDERFIVE CHILD MALNUTRITION IN MARSABIT COUNTY, KENYA USING GENERALIZED LINEAR MODELS
(University of Eldoret, 2021)Malnutrition remains one of the major problems in developing countries affecting people of all age groups. The severity of the crisis varies among specific groups, such as children under the age of five years. In Kenya, ... 
MODELING THE YIELD OF SOYBEAN (Glycine max (L.) Merrill) USING A FOUR COMPONENT MIXTURE EXPERIMENT IN THE PRESENCE OF VARIATION CREATED BY TWO PROCESS VARIABLES WITHIN SPLITPLOT DESIGN
(University of Eldoret, 2021)Use of mixture design has become wellknown in statistical modeling due to its utility in predicting any mixture's response and thus serving as the foundation for optimizing the predicted response on blends of different ... 
BAYESIAN SEMIPARAMETRIC AND NONPARAMETRIC ESTIMATION OF RECEIVER OPERATING CHARACTERISTIC (ROC) SURFACE
(University of Eldoret, 2015)Receiver operating characteristic curve analysis is widely used in biomedical research to assess the performance of diagnostic tests. Estimation of receiver operating characteristic curves based on parametric approach has ... 
AN INVESTIGATION OF EFFECTS OF BOUNDARY LAYER THICKNESS ON A THIN FILM OF LIQUID FLOW DOWN AN INCLINED PLANE
(University of Eldoret, 2013)The motion of fluid substances can be described by the NavierStokes equations. These equations arise from the application of Newton's second Law of motion to a fluid. In this study, NavierStokes equations in two ... 
MODELING THE EFFECTIVENESS OF CONTROL MEASURES TOWARDS HIV/AIDS AND PNEUMONIA COINFECTION
(University of Eldoret, 2013)The lungs are a principal target of HIVassociated complications and persons with HIVinfection are at an increased risk for a wide spectrum of opportunistic Pneumonias. In this research an HIV/AIDS and Pneumonia coinfection ... 
HEAD LOSS ANALYSIS IN PIPE FLOW SYSTEMS
(University of Eldoret, 2016)Fluid flow in pipes is accompanied by major and minor friction losses. Major friction losses are as a result of loss of energy in pipes due to viscous effects of the fluids on pipe surfaces. Minor friction losses do occur ... 
SOME NEW SECOND ORDER ROTATABLE DESIGNS BASED ON BALANCED INCOMPLETE BLOCK DESIGN
(University of Eldoret, 2014)The purpose of this study was to construct some new second order rotatable designs using balanced incomplete block designs. The study of rotatable designs is mainly concerned with the estimation of absolute response in ... 
AN APPLICATION OF MIXTURE EXPERIMENTS IN FORMULATION OF POULTRY FEED FOR MODELLING CHICK WEIGHT
(University of Eldoret, 2019)Poultry farming in Africa has significantly grown over the years. It is highly dependent on the economy and type of feed used. The quality, components, proportions, rations and storage of feeds is quite critical in poultry ...