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All Journal EDUMALSYS Journal of Research in Education Management Mikailalsys Journal of Mathematics and Statistics
A., Adetunji A.
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Decision Sciences, Operations Research & Management Education Engineering Industrial & Manufacturing Engineering Mathematics Mechanical Engineering

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Generic Count Distributions and Their Zero-Inflated Forms: A Simulation Study A., Adetunji A.; M., Sabri S. R.
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 2 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i2.5171

Abstract

The percentage of zero observations necessitating zero-inflated distributions in count data modelling has been a major issue. The challenge in such a situation is determining when to shift from parent distributions to their zero-inflated versions. In most studies, the performances of parent distributions are assessed with those of their zero-inflated forms. This study conducts simulation studies for the Poisson and the negative binomial distributions and their respective zero-inflated forms. Count data [0, 4] with different percentages of zero counts are simulated using different sample sizes. Both negative log-likelihood and Bayesian information criterion (which considers the number of estimated parameters) are used to assess performance. Results show that the zero-inflated Poisson distribution best suits modelling all forms of data when the negative log-likelihood value is used to assess performance. When the BIC is used, the Poisson distribution gives the best performance for both 10% and 20% zeros, while the ZIP distribution is the best for both 50% and 90% zeros. The NB distribution outperforms the ZINB distribution in all situations. Also, in all cases, the negative binomial performs better than the zero-inflated negative binomial distributions. To further assess the distributions, four count data sets with varying percentages of zero are examined. Both the ZIP and the NB distributions perform better than others.
Comparative Assessment of Depression Level Among Polytechnic Staff A., Adetunji A.; J., Olajide B.; J., Onemayin K.
EDUMALSYS Journal of Research in Education Management Vol 4 No 1 (2026): EDUMALSYS Journal of Research in Education Management
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/edumalsys.v4i1.7670

Abstract

This study investigates the prevalence and variation of depressive symptoms across staff categories in two polytechnics in the southwestern part of Nigeria, against a backdrop of workplace stress, job insecurity, workload, and institutional pressures that threaten employee well-being. Adopting a cross-sectional survey design, the research employs standardized psychological instruments, specifically the Beck Depression Inventory (BDI), to assess depressive symptoms among academic and non-academic staff. Data collected from respondents were analyzed using descriptive statistics and inferential tests, including t-tests and ANOVA, to identify significant sociodemographic variables associated with depression levels. The findings indicate varying degrees of depression, with non-academic staff exhibiting higher levels of depressive symptoms, influenced by job roles, support systems, and workload. Male staff are significantly more depressed than female staff, while those aged 30–49 years also show higher levels of depression, and Christian respondents emerge as the most depressed among the examined religious groups. The study concludes that depression among polytechnic staff is differentially distributed across staff categories and sociodemographic groups, underscoring the importance of institutional mental health policies and proactive interventions to foster a healthier and more productive workforce. It recommends the implementation of regular mental health screenings, workplace counselling services, and targeted support programs to address identified vulnerabilities and promote staff well-being.
Co-Authors J., Olajide B. J., Onemayin K. M., Sabri S. R.