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Imputation by power transformation

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Abstract

In this paper, a new power transformation estimator of population mean in the presence of non-response has been suggested. The estimator of mean obtained from proposed technique remains better than the estimators obtained from ratio or mean methods of imputation. The mean squared error of the resultant estimator is less than that of the estimator obtained on the basis of ratio method of imputation for the optinum choice of parameters. An estimator for estimating a parameter involved in the process of new method of imputation has been discussed. The MSE expressions for the proposed estimators have been derived analytically and compared empirically. Product method of imputation for negatively correlated variables has also been introduced. The work has been extended to the case of multi-auxiliary information to be used for imputation.

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Authors and Affiliations

  1. Department of Statistics, St. Cloud State University, 56301, St. Cloud, MN, USA

    Sarjinder Singh

  2. Business Programm, College of Science and Management, University of Northern British Columbia, V2N 4Z9, Prince George, BC, Canada

    Balbinder Deo

Authors
  1. Sarjinder Singh
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  2. Balbinder Deo
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Correspondence to Sarjinder Singh.

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Singh, S., Deo, B. Imputation by power transformation. Statistical Papers 44, 555–579 (2003). https://doi.org/10.1007/BF02926010

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  • DOI: https://doi.org/10.1007/BF02926010

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