Chitkara University Publications

Estimating the Population Mean in Two-Stage Sampling with Equal Size Clusters under Non-Response Using Auxiliary Characteristic

Abstract:

The present paper has been devoted to the study of estimating the population means in two-stage sampling with equal size clusters under non-response using an auxiliary variable. This paper focuses on the study of general families of factor-type estimators of population mean considering two different cases in which non-response is observed on study variable only and on both study and auxiliary variables respectively. The optimum properties of the proposed families in both cases are discussed. The empirical study is also carried out in support of the theoretical results.

Author(s):

  • Manoj K. Chaudhary, Department of Statistics, Banaras Hindu University, Varanasi, India
  • V. K. Singh, Department of Statistics, Banaras Hindu University, Varanasi, India

DOI: 

Keywords: 

Two-stage sampling, Population mean, Auxiliary variable, Factor-type estimators, Non-response

References:

Hansen, M. H., and Hurwitz, W. N. (1946): The problem of non-response in sample surveys, Journal of The American Statistical Association, 41, 517-529. http://dx.doi.org/10.1080/01621459.1946.10501894

Rao, C. R., Mitra, S. K. and Mathai, A. (1966): Formulae and Tables for Statistical Work, Statistical Publishing Society, Calcutta, India.

Sahoo, L. N., and Panda, P. (1997): A class of estimators in two-stage sampling with varying probabilities, South African Statistical Journal, 31, 151-160.

Sahoo, L. N., and Panda, P. (1999a): A class of estimators using auxiliary information in two-stage sampling, Australian & New Zealand Journal of Statistics, 41 (4), 405-410. http://dx.doi.org/10.1111/1467-842X.00094

Sahoo, L. N., and Panda, P. (1999b): A predictive regression type estimator in two-stage sampling, Journal of The Indian Society of Agricultural Statistics, 52 (3), 303-308.

Singh, L. B. (1998): Some Classes of Estimators for Finite Population Mean in Presence of Nonresponse, Ph. D. Thesis submitted to Banaras Hindu University, Varanasi, India.

Singh, V. K., and Shukla, D. (1987): One parameter family of factor-type ratio estimators, Metron, 45 (1-2), 273-283.

Srivastava, M. and Garg, N. (2009): A general class of estimators of a finite population mean using multi-auxiliary information under two-stage sampling scheme, Journal of Reliability and Statistical Studies, 1(2), 103-118.

 

 

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