Estimation of Students’ Population in Public Secondary Schools in Oyo State using Successive Sampling on two Occasions
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.
Lecture notes on Design and Analysis
of Sample Surveys.
Arnab R (1980). Two-Stage sampling
over two occasions. Australia Journal
of Statistics. 22(3): 349–357.
Artes, E., Rueda, M and Arcos, A
(2005). Successive Sampling using a
product estimate when the auxiliary
variables are negatively correlated.
Applied Science and Environment, pp
Cochran, W. G (1977). Sampling
Techniques, 3rd ed. John Wiley and
Son (New York).
Das, A. K (1982). Estimation of
population ratio on two occasions.
Journal of Indian Society of Agric.
Statistics. 34(2): 1–9.
Garcia, L (2004). The problem of
estimation of a finite population mean
for the current occasion based on the
samples selected over two occasions.
Conference on Agricultural and
Environmental Statistical Applications
in Rome, XCII-1–XCII-2.
Manish, T and Shukla, D (2008).
Efficient estimator in Successive
sampling using post stratification:
portable document format (pdf) 59358
Okafor, F. C (1985). The use of
Multistage Sampling Over two
occasions, Unpublished Ph.D. Thesis
(Statistics Library), University of
Patterson, H. D (1950). Sampling on
Successive Occasion with Partial
Replacement of Units. Journal of Ray
Stat. Soc. B. 12: 241–255.
Raj, D (1965). Sampling over two
occasions with probability proportional
to size with replacement (PPSWR).
Annals of Mathematical Society. 36:
Sen, A. R (1970). A pilot survey of the
characteristics of waterfowl hunters in
Ontario 1968-1969. Journal of
American Statistical Association. 65:
Sen, A. R (1971). Successive sampling
with two auxiliary variables. Sankhya,
B. pp. 371–378.
Sen, A. R (1972). Successive sampling
with p (p1) auxiliary variables.
Annual of Maths Society. 43: 2031–
Sen, A. R (1973). Some theory of
sampling on successive occasions.
Australian Journal of Statistics. 15:
Tripathi, T. P and Strivastava, O. P
(1979). Estimation on successive
occasions using PPSWR Sampling.
Sankhya C. 41: 84–91.
Unless otherwise stated, copyright or similar rights in all materials presented on the site, including graphical images, are owned by American Journal of Social Issues and Humanities (AJSIH).