Research Article

Quantify the Impact of Non-Response and Measurement Error of Sensitive Variable(s) under Two-Phase Sampling employing ORRT Models

Volume: 6 Number: 4 December 25, 2023
EN

Quantify the Impact of Non-Response and Measurement Error of Sensitive Variable(s) under Two-Phase Sampling employing ORRT Models

Abstract

Throughout this article, a two-phase sampling (TPS) technique is employed to estimate the population mean of the sensitive variable. The current article endeavours to develop a chain ratio type estimator for the estimation of sensitive variable(s) in the presence of non-response and measurement error simultaneously by utilizing ORRT models under a two-phase sampling technique. The significant aspects associated with the suggested estimator characterized by bias and mean squared error have been evaluated. Besides this, the utterance for the minimum mean squared error for the optimal values has also been identified. The supremacy of the proposed estimator has been compared with the modified existing estimators under the TPS scheme by using two sensitive auxiliary variables. To clarify the theoretical findings, a simulation study along with a hypothetical generated population and a real population which is based on abortion rates from Statistical Abstract of the United States: 2011 are also addressed in this study.

Keywords

Measurement error, Non-response, Optional Randomized Response Models (ORRT), Sensitive variable(s), Two-phase Sampling (TPS)

References

  1. [1] S. L. Warner, Randomized response: a survey technique for eliminating evasive answer bias, J. Am. Stat. Assoc., 60(309) (1965), 63–69.
  2. [2] B. G. Greenberg, R. R. Jr. Kuebler, J. R. Abernathy, D. G. Hovertiz, Application of the randomized response techniques in obtaining quantitative data, J. Am. Stat. Assoc., 66(334) (1971), 243-250.
  3. [3] K. Pollock, Y. Bek, A comparison of three randomized response models for quantitative data, J. Am. Stat. Assoc., 71(356) (1976), 884-886.
  4. [4] S. Gupta, B. Gupta, S. Singh, Estimation of sensitivity level of personal interview survey questions, J. Stat. Plan. Inference, 100(2) (2002), 239-247.
  5. [5] S. Gupta, J. Shabbir, S. J. Sehra, Mean and sensitivity estimation in optional randomized response models, J. Stat. Plan. Inference, 140(10) (2010), 2870-2874.
  6. [6] S. Gupta, J. Shabbir, R. Sousa, P. Corte-Real, Estimation of the mean of a sensitive variable in the presence of auxiliary information, Commun. Stat. Theory Methods, 41(13-14) (2012), 13-14.
  7. [7] Q. Zhang, G. Kalucha, S. Gupta, S. Khalil, Ratio estimation of the mean under RRT models, Int. J. Stat. Manag. Syst., 22(1) (2018), 97-113.
  8. [8] S. Kumar, S. P. Kour, Estimation of Sensitive Variable in Two-Phase Sampling under Measurement Error And Non-Response Using ORRT Models, Sri Lankan J. Appl. Stat., 22(3) (2021), 95-122.
  9. [9] S. Kumar, S. P. Kour, The joint influence of estimation of sensitive variable under measurement error and non-response using ORRT models, J. Stat. Comput. Simul., 92(17) (2022), 3583-3604.
  10. [10] S. Kumar, S. P. Kour, Q. Zhang An enhanced ratio-cum-product estimator with non-response and observational error by utilizing ORRT models: a sensitive estimation approach, J. Stat. Comput. Simul., 93(5) (2023), 818-836.
APA
Kumar, S., & Kour, S. P. (2023). Quantify the Impact of Non-Response and Measurement Error of Sensitive Variable(s) under Two-Phase Sampling employing ORRT Models. Communications in Advanced Mathematical Sciences, 6(4), 196-210. https://doi.org/10.33434/cams.1365151
AMA
1.Kumar S, Kour SP. Quantify the Impact of Non-Response and Measurement Error of Sensitive Variable(s) under Two-Phase Sampling employing ORRT Models. Communications in Advanced Mathematical Sciences. 2023;6(4):196-210. doi:10.33434/cams.1365151
Chicago
Kumar, Sunil, and Sanam Preet Kour. 2023. “Quantify the Impact of Non-Response and Measurement Error of Sensitive Variable(s) under Two-Phase Sampling Employing ORRT Models”. Communications in Advanced Mathematical Sciences 6 (4): 196-210. https://doi.org/10.33434/cams.1365151.
EndNote
Kumar S, Kour SP (December 1, 2023) Quantify the Impact of Non-Response and Measurement Error of Sensitive Variable(s) under Two-Phase Sampling employing ORRT Models. Communications in Advanced Mathematical Sciences 6 4 196–210.
IEEE
[1]S. Kumar and S. P. Kour, “Quantify the Impact of Non-Response and Measurement Error of Sensitive Variable(s) under Two-Phase Sampling employing ORRT Models”, Communications in Advanced Mathematical Sciences, vol. 6, no. 4, pp. 196–210, Dec. 2023, doi: 10.33434/cams.1365151.
ISNAD
Kumar, Sunil - Kour, Sanam Preet. “Quantify the Impact of Non-Response and Measurement Error of Sensitive Variable(s) under Two-Phase Sampling Employing ORRT Models”. Communications in Advanced Mathematical Sciences 6/4 (December 1, 2023): 196-210. https://doi.org/10.33434/cams.1365151.
JAMA
1.Kumar S, Kour SP. Quantify the Impact of Non-Response and Measurement Error of Sensitive Variable(s) under Two-Phase Sampling employing ORRT Models. Communications in Advanced Mathematical Sciences. 2023;6:196–210.
MLA
Kumar, Sunil, and Sanam Preet Kour. “Quantify the Impact of Non-Response and Measurement Error of Sensitive Variable(s) under Two-Phase Sampling Employing ORRT Models”. Communications in Advanced Mathematical Sciences, vol. 6, no. 4, Dec. 2023, pp. 196-10, doi:10.33434/cams.1365151.
Vancouver
1.Sunil Kumar, Sanam Preet Kour. Quantify the Impact of Non-Response and Measurement Error of Sensitive Variable(s) under Two-Phase Sampling employing ORRT Models. Communications in Advanced Mathematical Sciences. 2023 Dec. 1;6(4):196-210. doi:10.33434/cams.1365151