Some Imputation Methods to Minimize the Effect of Non Response in Two-Occasion Rotation Patterns |
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Authors: | G N Singh Jaishree Prabha Karna |
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Institution: | 1. Department of Applied Mathematics , Indian School of Mines University , Dhanbad, India gnsingh_ism@yahoo.com;3. Department of Applied Mathematics , Indian School of Mines University , Dhanbad, India |
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Abstract: | Among modern strategies applied to cope with non response, a major problem faced by survey statisticians, imputation is one of the most common. Imputation is the filling up method of incomplete data for adapting the standard analytic model in statistics. The purpose of the present work is to study the use of imputation methods in dealing with non response which occur at both occasions in two-occasion successive (rotation) sampling. Chain-type regressions in ratio estimators have been proposed for estimating the population mean at current occasion. Expressions for optimum estimator and its mean square error have been derived. To study the effectiveness of the imputation methods, performances of the proposed estimators are compared in two different situations: with and without non response. Behavior of the proposed estimators is demonstrated through empirical studies. |
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Keywords: | Chain-type regression in ratio Imputation Missing data Non response Optimum replacement policy Successive sampling |
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