https://repository.maseno.ac.ke/handle/123456789/1936 2026-05-15T14:11:36Z 2026-05-15T14:11:36Z Gideon Kasivu, Jonathan Mwania, Josphert Kimatu, Leonard Kamau, Janet Mulwa, Redempta Kiilu, Rose Kithungu, Mr James Musyoka, Rebecca Migwambo https://repository.maseno.ac.ke/handle/123456789/6153 2024-08-11T07:51:42Z 2024-04-05T00:00:00Z

Reinforcing the 21st century pedagogical skills through the application of the question formulation technique (QFT) in secondary schools in south eastern region of Kenya Gideon Kasivu, Jonathan Mwania, Josphert Kimatu, Leonard Kamau, Janet Mulwa, Redempta Kiilu, Rose Kithungu, Mr James Musyoka, Rebecca Migwambo Studies show that only 27% of graduates believe that Universities and colleges taught them how to ask their own questions. The Question Formulation Technique (QFT) imparts students a way that makes them to think critically every time they read, connect the concepts and when deciding whether to take facts and information at face value or to dig a little deeper. Generally, it is reported that students ask less than a fifth of the questions teachers estimated would be elicited and deemed desirable Poor participation by students in the questioning during teaching and learning process has often led to poor learning outcomes which are manifested by poor performance in academics. The study was instituted to evaluate the equipping of 21st skills to secondary schools’ students using QFT trained teachers in ten schools in the South Eastern Region of Kenya. The teachers and students were trained to develop skills in producing of questions, categorizing questions, prioritizing questions and in reflections. The study found that teachers were eager to be trained in QFT skills so as to enhance an observed low student engagement and poor performance. The assessment of the implementation of QFT in content delivery found that students had many questions to ask if given opportunity and not judged during the teaching and learning process. The analysis of the questions showed that the QFT sparked student’s potentials into divergent, convergent and metacognition types of thinking during and after the teaching and learning process. The teachers had a challenge of focusing the student class questions to achieve the lesson objectives in the stipulated time of the lesson. However, online engagement of students with teacher was observed to be a key in spurring more learners’ curiosity in learning and in developing patterns in their thinking and ask questions and facilitate lifelong learning. https://dx.doi.org/10.47772/IJRISS.2024.803060

2024-04-05T00:00:00Z Oburu, Jeffar Were, Joshua Oduor, Brian Nyakinda, Joseph https://repository.maseno.ac.ke/handle/123456789/6083 2024-04-29T15:02:53Z 2023-12-01T00:00:00Z

On (P, Q)-Binomial Extension of Cox-Ross-Rubinstein Model in Skorohod Spaces. Oburu, Jeffar; Were, Joshua; Oduor, Brian; Nyakinda, Joseph In this paper, we develope a (pq)-binomial extension of the Cox-Ross-Rubinstein (CRR) model thereby enhancing its ap plicability in optimizing life insurance portfolios amidst noisy observations. We utilize mathematical constructs designed to mitigate the impact of nancial perturbations, thereby enrich ing the existing model and laying a robust foundation for nav igating uncertainties.

2023-12-01T00:00:00Z Were, Joshua Oduor, Brian Nyakinda, Joseph https://repository.maseno.ac.ke/handle/123456789/6082 2024-04-29T14:56:42Z 2024-03-11T00:00:00Z

Portfolio optimization for extended (p, q) –binomial cox –ross- rubinstein model Were, Joshua; Oduor, Brian; Nyakinda, Joseph In this paper, we focus on establishing optimization conditions for the extended binomial Cox-Ross-Rubinstein (CRR)model, particularly in the context of managing portfolios in life insurance under varying noise conditions. We also give the convergence analysis of the model. Journal homepage: https://ssarpublishers.com/ssarjms/

2024-03-11T00:00:00Z Mawora, Thomas Otieno, Joyce Vance, Eric. A https://repository.maseno.ac.ke/handle/123456789/6080 2024-04-23T18:12:35Z 2022-06-07T00:00:00Z

Exploring the Need for a Statistical Collaboration Laboratory in a Kenyan University: Experiences, Challenges, and Opportunities Mawora, Thomas; Otieno, Joyce; Vance, Eric. A This paper explores the need for a statistical collaboration laboratory or “stat lab”(Vance and Pruitt 2022) at Maseno University in Kenya. It describes the experiences, challenges, and opportunities for statistics lecturers who established a statistical collaboration laboratory or “stat lab” called the Maseno University Laboratory for Interdisciplinary Statistical Analysis

2022-06-07T00:00:00Z Anyango, L. Cynthia, Edgar Otumba https://repository.maseno.ac.ke/handle/123456789/5468 2022-10-31T14:38:31Z 2017-01-01T00:00:00Z

Recursive Relation for Zero Inflated Poisson Mixture Distributions Anyango, L. Cynthia, Edgar Otumba The paper extends the work of Sarguta who derived recursive re lations for univariate distributions by considering the ZIP continuous mixtures. The paper gives a recursive formular which can be used to evaluate the mixed distributions which can be used when the probabil ity distribution functions cannot be evaluated explicitly. Integration by parts is often employed when deriving the recursive formulas. From sec tion two up to section seven, we derived the recursive formulas for ZIP mixture distributions using Rectangular, Exponential, Gamma with two parameters, Poisson- Beta and Inverted - Beta as mixing distributions.

2017-01-01T00:00:00Z Kaleli, James. Musyoka https://repository.maseno.ac.ke/handle/123456789/5430 2022-10-24T08:01:05Z 2021-01-01T00:00:00Z

Empowered schools embrace the competency based curriculum: sharing the Kenya connect empowered school model in Machakos county Kaleli, James. Musyoka Rural public schools face many challenges and are severely under-resourced. Students are eager to learn and parents see schools as a means for upward mobility for their children. However, public schools struggle due to lack of resources, overcrowded classes, and outdated teaching methodologies. Kenya Connect, a Non-Governmental Organization in Wamunyu, Machakos County has been working to enrich education for the last twenty years. In 2019, we piloted an “Empowered School” program with Sofia primary school participating. This program provides the creation of Professional Learning Communities among the teachers, resources to the schools including art supplies, rulers, educational posters, after-school LitClubs in partnership with LitWorld plus Level-Up Village STEM classes, refurbishing the classrooms with fresh and bright paint, cork-boards and strips to hang student work. In order to be an “Empowered School” all teachers and the head teacher agreed to participate in weekly professional development and other Kenya Connect programs. The Parent Management Committee was also consulted and needed to give their support. Teachers are now using strategies to facilitate a student-centered classroom and are seeing a deeper engagement in learning. We have been monitoring the test scores and noted that the Empowered Schools have higher student achievement than our other partner schools. In 2020, our Empowered Schools scored a mean score of 320 out of 500 against our regular schools who scored 280 out of 500 in the Kenya Certificate of Primary Education. As well, teachers are reporting that students are using critical thinking and problem solving skills, in addition to being more creative.

2021-01-01T00:00:00Z Isaboke, Hezron N. Musyoka, Kennedy https://repository.maseno.ac.ke/handle/123456789/5429 2022-10-24T07:51:40Z 2022-01-01T00:00:00Z

Analysis of the factors affecting farm-level output of mangoes among small-scale farmers in Mwala Sub-County, Kenya Isaboke, Hezron N. Musyoka, Kennedy The factors affecting farm-level output of mangoes among small-scale farmers in Mwala Sub-County, Kenya were examined. The first stage of regression analysis resulted that family and hired labour, amount of pesticides and manure had positively significant affected on mango farm-level output. The results on the second stage of the factor affecting mango output was household size, farming income, area allocated to mango farming (farm size), amount of credit, and extension contacts which exhibited positively affected on mango output, while cost of pesticides and manure precipitated had negatively affected. The study recommended that relevant authorities should strengthen the extension contact for encouraging farmers to practice the best and recommended management practices on mango farming to improve production. Furthermore, small-scale mango farmers accessed to functional input markets would enhance farm-level mango output. Available online http://www.ijat-aatsea.com

2022-01-01T00:00:00Z Edgar Ouko Otumba, Merary Kipkogei https://repository.maseno.ac.ke/handle/123456789/5413 2022-10-16T12:57:25Z 2022-01-01T00:00:00Z

Markovian Approach for Analyzing Patient Flow Data: A Study of Kapsabet County Referral Hospital, Kenya Edgar Ouko Otumba, Merary Kipkogei Hospital is indispensable and necessary welfare of society. Through it, we can manage our illnesses by treatment and prevention interventions. With the rise incidences of chronic diseases and illnesses, there has been an increased demand for health care services round the world. This demand has subsequently caused a serious pressure resulting to serious episodes of congestion and overcrowding in hospitals. Hospital overcrowding and congestion, has always been a problem to patients, hospital administration and to the general health workers. Hospitals are struggling to alleviate congestion and overcrowding. In this study, we developed an objective patient flow estimation using Markov chain models. Weekly data from Kapsabet County Referral Hospital facility was used to assess the flow. Markov chains’ transition probability matrices were constructed for each day in a week. Markov chain’s four-state model used was; High, Medium, Low and Very Low. The future n step transition probabilities matrices were computed, giving rise to steady state for each day of the week. It was examined that the patient flow had some pattern through the Markov chains’ steady states. The steady state probability of the flow is high on Mondays with highest probability of 0.57. Medium on Tuesdays through to Thursdays with steady state probabilities ranging from 0.36 and 0.3 respectively. On Fridays the probabilities decrease from 0.22 to 0.12 on Sunday. Through this study, we can witness some pattern from steady state of transition matrices. This way, the patient’s population flow throughout the week at this facility is identified. Generally, through this study, the patient flow is understood and hence the patient flow congestion can be easily attenuated. doi: 10.11648/j.ijssam.20220702.12

2022-01-01T00:00:00Z Okumu Otieno Kevin1 , Edgar Otumba2 , Alilah Anekeya David3 , John Matuya1 https://repository.maseno.ac.ke/handle/123456789/4697 2022-01-27T12:04:44Z 2020-01-01T00:00:00Z

Fitting Wind Speed to a Two Parameter Distribution Model Using Maximum Likelihood Estimation Method Okumu Otieno Kevin1 , Edgar Otumba2 , Alilah Anekeya David3 , John Matuya1 Kenya is among the countries that are continuously investing in wind energy to meet her electricity demand. Kenya is working towards its vision 2030 of achieving a total of 2GW of energy from wind industry. To achieve this, there is a need that all the relevant data on wind characteristics must be available. The purpose of this study is, therefore, to find the most efficient two-parameter model for fitting wind speed distribution for Narok County in Kenya, using the maximum likelihood method. Hourly wind speed data collected for a period of three years (2016 to 2018) from five sites within Narok County was used. Each of the distribution’s parameters was estimated and then a suitability test of the parameters was conducted using the goodness of fit test statistics, Kolmogorov-Smirnov, and Anderson-Darling. An efficiency test was determined using the Akaike’s Information Criterion (AIC) and the Bayesian Information Criterion (BIC) values, with the best decision taken based on the distribution having a smaller value of AIC and BIC. The results showed that the best distributions were the gamma distribution with the shape parameter of 2.47634 and scale parameter of 1.25991, implying that gamma distribution was the best distribution for modeling Narok County wind speed data. Online Content URI: http://www.sciencepublishinggroup.com/j/ijsda

2020-01-01T00:00:00Z David Kweyu, J Bitok, W Manyonge https://repository.maseno.ac.ke/handle/123456789/4169 2021-07-16T06:26:33Z 2021-01-01T00:00:00Z

Temperature Distribution for Magnetohydrodynamic Flow in Straight Horizontal Elliptical Pipe David Kweyu, J Bitok, W Manyonge A study has been carried out on temperature distribution on Magnetohydrodynamic (MHD) fluid flow in a pipe of elliptical cross section. Fluid is electrically conducting, viscous and incompressible. Governing equations are partial differential equations comprising Ohm’s Law of electromagnetism, heat energy equation, equation of continuity and cross section of the pipe. Heat energy equation is converted into ordinary differential equation embracing similarity transformation and solved by Finite Element Method. Findings are in form of tables and contours and affirm that: Peak temperature of the fluid decreases at the centre of the pipe when Prandtl number is increased but increases on raising Hartmann number and Eckert number. In all the three situations, temperature diminishes towards the boundary of the pipe.

2021-01-01T00:00:00Z