Abel OUKO Cheruiyot W. KIPKOECH Emily KIRIMI

Effects of Measurement Errors on Population Estimates from Samples Generated from a Stratified Population through Systematic Sampling Technique

In various surveys, presence of measurement errors has led to misleading results in estimation of various population parameters. This study indicates the effects of measurement errors on estimates of population total and population variance when samples are drawn using systematic sampling technique from a stratified population. A finite population was generated through simulation. The population was then stratified into four strata followed by generation of ten samples in each of them using systematic sampling technique. In each stratum a sample was picked at random. The findings of this work indicated that systematic errors affected the accuracy of the estimates by overestimating both the population total and the population variance. Random errors only added variability to the data but their effect on the estimates of the population total and population variance was not that profound.
JEL ClassificationP42, R23

References

  1. Cochran, W.G., 1977. Sampling techniques. 3rd Edition, John Willey and Sons, New York.
  2. Hansen, M. H., and Hurwitz, W. N., 1946. The problem of non-response in sample surveys. Journal of the American Statistical Association, 41, pp.517-529
  3. Horvitz D. G. and Thompson D. J, 1952.  A Generalization of sampling without replacement from a finite universe. Journal of the American Statistical Association, 47(260), pp.663-685
  4. Koninj H.S., 1973. Statistical theory of sample survey design and analysis. North Holland Publishing Company, Amsterdam.
  5. Mahalanobis, P.C., 1946. Recent experiments in statistical sampling in the Indian statistical institute. Journal of the Royal Statistical Society, 325-370.
  6. Sarndal, C.E., Swensson, B., and Wretman, J., 1992. Model assisted survey sampling. New York, Springer Verlag.
  7. Suhkatme, P.V., and Seth, G.R., 1952. Non-sampling errors in surveys. Journal of Indian Society of Agricultural Statistics, 5-41.

Author(s)

Abel OUKO
The East Africa University, Kenya

Cheruiyot W. KIPKOECH
Technical University of Kenya, Kenya

Emily KIRIMI
Maasai Mara University, Kenya

Correspondence

Abel OUKO, Department of Mathematics, The East African University, Kenya

Article History

Received: October 24, 2014
Accepted: November 4, 2014
Available Online: November 25, 2014

Cite Reference

Ouko, A., Kipkoech, C.W., and Kirimi, E., 2014. Effects of Measurement Errors on Population Estimates from Samples Generated from a Stratified Population through Systematic Sampling Technique. Expert Journal of Economics, 2(3), pp. 120-132

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© 2014 The Authors. Published by Sprint Investify. ISSN 2359-7704

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