Rotation Patterns Under Imputation of Missing Data Over Two-Occasion

Abstract

The present article intends to develop some imputation methods to reduce the impact of non response at both the occasions in two-occasion successive (rotation) sampling. Utilizing the auxiliary information, which is only available at the current occasion, estimators have been proposed for estimating the population mean at the current occasion. Estimators for the current occasion are also derived as a particular case when there is non response either on the first occasion or second occasion. Behaviors of the proposed estimators are studied and their respective optimum replacement policies are also discussed. To study the effectiveness of the suggested imputation methods, performances of the proposed estimators are compared in two different situations, with and without non response. The results obtained are demonstrated with the help of empirical studies.

Keywords:

• Auxiliary variable
• Imputation
• Multiple linear regression
• Non response
• Optimum replacement policy
• Successive sampling

Mathematics Subject Classification:

• 62D05

Acknowledgments

The authors are thankful to the honorable referee for his inspiring and fruitful suggestions. They are also thankful to the University Grants Commission, New Delhi for providing the financial assistance to carry out this work. The authors are indebted to the Indian School of Mines, Dhanbad for providing the necessary infrastructure for the completion of the current research work.

Notes

Note: “*” in the table indicate μ₀ do not exist.

Note: “*” in the table indicates does not exist.