A Markov Chain Model Approach to Study Academic Promotions in Ghanaian Universities
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 5, Issue 2
Abstract
Promotions of academic staff in universities and analogous institutions remain crucial to the attainment of economic, environmental and societal objectives nationally and globally. Notwithstanding the benefits to institutions and individuals, little literature is available on outlay of promotions in universities in Ghana. This paper seeks to model promotions in Ghanaians universities as stochastic process to determine the underlining stochasticness under different conditions. Stochastic model with emphasis on the an absorbing Markov Chain, presented in its canonical form, was used to estimate the probability of lecturers attaining professorial status before retiring from service, and also the average length of time an academic staff stays in the universities. A simple random sample was used to select three Ghanaian universities (a public university, a private university and then a technical university) and data on promotions of academic was collected from these universities. The study found out that, whereas an academic staff spends an average of 21 years in a technical university, colleagues in the public university spends a lower average of about 13 years. Again, the study revealed that academic staffs in the public university have higher probability (26%) of attaining professorial status as compared to their colleagues in technical universities (25%). The estimated model indicated that a newly recruited academic staff have insignificant chance of promoted to a professorial rank in the private universities in Ghana.
Authors and Affiliations
Buckman Akuffo, Samuel Okae – Adjei, Paul Baah
Keywords
Related Articles
- EP ID EP338439
- DOI 10.9734/ARJOM/2017/34046
- Views 109
- Downloads 0
On the Convergence of Gauss-type Proximal Point Method for Smooth Generalized Equations
Let X and Y be Banach spaces and Ω be an open subset of X. Let f : X → Y be a Fr´echet differentiable function on Ω and F : X 2Y be a set valued mapping with closed graph. We deal with smooth generalized equations whic...
Square Fibonacci Numbers and Square Lucas Numbers
In this paper we deduce the integer n satisfying Ln = 3x2 and Fn = 3x2, respectively after obtaining the Legendre-Jacobi symbol 3 Lk = 1 and 7 Lk = 1 for Lk 3 (mod 4) with 2jk; 3 - k.
Dynamic Response to Variable-magnitude Moving Distributed Masses of Bernoulli-Euler Beam Resting on Bi-parametric Elastic Foundation
This work investigates the problem of dynamic response to variable-magnitude moving distributed masses of Bernoulli-Euler beam resting on bi-parametric elastic foundation. The governing equation is a fourth order partial...
Diffusion-thermo and Thermo-diffusion Effects on MHD Fluid Flow over Non-linearly Stretching Sheet through a Non-Darcy Porous Medium
In this paper, we discuss Diffusion-thermo and Thermo-diffusion effects on MHD free convective incompressible, Newtonian fluid flow over non linearly stretching sheet with radiation and chemical reaction, through a non-D...
Using the Logistic Function to Illustrate Periodic Orbits as Recurrent Formation
Recurrence as behaviour in the dynamical system is also a state which happens as a result of an outcome of a point which does return to its initial state. But in dynamical system the most simple and easy way to study reg...