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Estimation of Population Variance Under an Imputation Method in Two-Phase Sampling

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Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Aims and scope Submit manuscript

Abstract

In this paper, an attempt has been made to reduce the negative effect of random non-response in the estimation procedure of population variance in two-phase sampling. A difference-type imputation method has been considered to reduce the wrong impact of random non-response in the two-phase sampling. To build efficient estimation strategies, information on two auxiliary characters has been used in the estimation of population variance and describes the effectiveness of the proposed estimators; dominant performances of the suggested estimators are compared with the well-known estimators of the population variance under the complete response. Results are explained through empirical studies which are followed by suitable recommendations.

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Acknowledgements

The authors are grateful to National Institute of Technology Raipur, Chhattisgarh, and Sri Venkateswara College, University of Delhi, for providing the financial assistance and necessary infrastructure to carry out the present work.

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Authors and Affiliations

  1. Department of Mathematics, NIT- Raipur, Raipur, Chhatissgarh, India

    A. K. Sharma

  2. Department of Statistics, Sri Venkateswara College, University of Delhi, New Delhi, India

    A. K. Singh

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  1. A. K. Sharma
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  2. A. K. Singh
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Correspondence to A. K. Singh.

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Sharma, A.K., Singh, A.K. Estimation of Population Variance Under an Imputation Method in Two-Phase Sampling. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 90, 185–191 (2020). https://doi.org/10.1007/s40010-018-0572-9

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  • DOI: https://doi.org/10.1007/s40010-018-0572-9

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