Application of Word Length Using Three Discrete Distributions (A Case Study of Students’ Research Projects)
DOI:
https://doi.org/10.53555/ms.v2i3.505Keywords:
1-Displaced Hyper-Poisson, 1-Displaced Geometric, 1-Displaced Singh-Poisson, Word Length.Abstract
This paper examined the application of word length using three discrete distributions. The study tends to estimate word length frequency distributions of five randomly selected students’ research project of the department of English and literally studies from the library project catalog of Imo State University Owerri. The five selected students’ research projects were studied, and the sample sizes (number of pages) of each of the research project were computed via the Slovians’ formula. Three discrete distributions such as 1-Displaced Singh-Poisson, 1-Displaced Hyper-Poisson, and 1-Displaced Geometric were clearly explained and their parameters estimated. The adequacy of the three models on the five selected students’ research project was analyzed according to their goodness of fit properties. In order to test the goodness of fit of these probability models, we employed the standardized discrepancy coefficient, and the result of the analysis revealed that both the 1-Displaced Hyper-Poisson and 1-Displaced Singh-Poisson Distributions are good fit for the selected students’ research project except for the case of the forth project, where it is not adequate for both distributions. It was concluded from the analysis that the 1-displaced geometric distribution model is not a good fit for all the students’ research project data used in this study.
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