Estimation of Students’ Population in Public Secondary Schools in Oyo State using Successive Sampling on two Occasions

  • E. O. Sodipo Department of Biology, School of Science, F.C.E.A.
  • A. A . Sodipo Department of Statistics, University of Ibadan, Ibadan.
  • O. B. Akanbi Department of Statistics, University of Ibadan, Ibadan.
Keywords: Students’ Enrolment; Secondary; Successive Sampling; Occasions; Auxiliary Variable.

Abstract

The theory of surveying the same population at different points of time is called repetitive
sampling or sampling over successive occasions and this has been used in this work for the
estimation of some parameters for the most recent occasion, estimation of change in these
parameters between two successive years and average over time of the parameters on two
different occasions. Information on the auxiliary variables from the previous occasion was also
utilized to obtain an increase in precision of the overall mean in the current occasion.
Our effort in this work has been confined to the use of unistage sampling over two occasions,
using simple random sampling without replacement method (SRSWOR) on each occasion.
Regression estimator was applied in obtaining current estimates with one auxiliary variable.
These estimates were applied to survey data collected by the Planning, Research and Statistics
Unit, Oyo State Ministry of Education, on students’ enrolment figures in both Public Junior and
Senior Secondary Schools in 2008 and 2009 academic sessions. In estimation of the current
occasion, there is no perfect matching between the first and the second occasion samples.
Maximum precision was achieved from average over time, when we assumed independent
samples on the second occasion. The gain in information from using this technique was found to
be 238.98% and 45.37% for the Junior and Senior Secondary Schools respectively.

Author Biographies

E. O. Sodipo, Department of Biology, School of Science, F.C.E.A.

Department of Biology, School of Science, F.C.E.A.

A. A . Sodipo, Department of Statistics, University of Ibadan, Ibadan.

Department of Statistics, University of Ibadan, Ibadan.

O. B. Akanbi, Department of Statistics, University of Ibadan, Ibadan.

Department of Statistics, University of Ibadan, Ibadan.

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Published
2013-09-25