Ratio estimation of two population means in two-phase stratified random sampling under a scrambled response situation

Pitambar Das; Garib Nath Singh; Arnab Bandyopadhyay

doi:https://doi.org/10.59170/stattrans-2023-063

Ratio estimation of two population means in two-phase stratified random sampling under a scrambled response situation

Pitambar Das Department of Mathematics, Netaji Nagar Day College, Kolkata- 700092, India , Garib Nath Singh Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, India , Arnab Bandyopadhyay Department of Mathematics, Asansol Engineering College, Asansol–713305, India ORCID:https://orcid.org/0000-0002-0769-7491 Statistics in Transition new series, vol. 24, 2023, 5, pages: 45-61 Published online: 7 December 2023 https://doi.org/10.59170/stattrans-2023-063 Citation: Das, P., Singh, G. N., Bandyopadhyay, A., 2023. Ratio estimation of two population means in two-phase stratified random sampling under a scrambled response situation. Statistics in Transition new series, 24(5), pp. 45-61. https://doi.org/10.59170/stattrans-2023-063

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ABSTRACT

In this paper, we have described the development of an effective two-phase stratified random sampling estimation procedure in a scrambled response situation. Two different exponential, regression-type estimators were formed separately for different structures of two-phase stratified sampling schemes. We have studied the properties of the suggested strategy. The performance of the proposed strategy has been demonstrated through numerical evidence based on a data set of a natural population and a population generated through simulation studies. Taking into consideration the encouraging findings, suitable recommendations for survey statisticians are prepared for the application of the proposed strategy in real-life conditions.

KEYWORDS

stratified random sampling, scrambled response, auxiliary variable, mean square error, simulation study.

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