Comparative Analysis on Probability Proportional to Size Sampling Scheme in Estimating Population Total of Student Enrolment in Ekiti State University

This study focuses on a comparative analysis of probability proportional to size (PPS) sampling schemes in estimating the population total of student enrollment at Ekiti State University (EKSU), Ado-Ekiti. The study population consists of all ten faculties in EKSU, with data on student enrollment for five academic years (2017–2022) obtained from the Directorate of Academic Planning. Secondary data were utilized, and five faculties were sampled using the recommended sampling techniques for each method. The results revealed that all three methods provided reliable estimates for the total population, but there were notable differences in efficiency. PPS sampling with replacement was found to be relatively simple and robust for ensuring representation from unequal population units. The Horvitz-Thompson method produced unbiased estimates but with higher variance compared to PPS. The Rao-Hartley-Cochran scheme was less efficient, making it less suitable for such analyses.

Probability proportional to size, Horvitz-Thompson, Rao-Hartley-Cochran, population total, student enrollment

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