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On stratified bivariate ranked set sampling for regression estimators

Author

Listed:
  • Daniel F. Linder
  • Hani Samawi
  • Lili Yu
  • Arpita Chatterjee
  • Yisong Huang
  • Robert Vogel

Abstract

We investigate the relative performance of stratified bivariate ranked set sampling (SBVRSS), with respect to stratified simple random sampling (SSRS) for estimating the population mean with regression methods. The mean and variance of the proposed estimators are derived with the mean being shown to be unbiased. We perform a simulation study to compare the relative efficiency of SBVRSS to SSRS under various data-generating scenarios. We also compare the two sampling schemes on a real data set from trauma victims in a hospital setting. The results of our simulation study and the real data illustration indicate that using SBVRSS for regression estimation provides more efficiency than SSRS in most cases.

Suggested Citation

  • Daniel F. Linder & Hani Samawi & Lili Yu & Arpita Chatterjee & Yisong Huang & Robert Vogel, 2015. "On stratified bivariate ranked set sampling for regression estimators," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(12), pages 2571-2583, December.
    • Handle: RePEc:taf:japsta:v:42:y:2015:i:12:p:2571-2583
    DOI: 10.1080/02664763.2015.1043868
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    References listed on IDEAS

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    1. Al-Saleh, M. Fraiwan & Al-Kadiri, M. Ali, 2000. "Double-ranked set sampling," Statistics & Probability Letters, Elsevier, vol. 48(2), pages 205-212, June.
    2. Hatefi, Armin & Jafari Jozani, Mohammad, 2013. "Fisher information in different types of perfect and imperfect ranked set samples from finite mixture models," Journal of Multivariate Analysis, Elsevier, vol. 119(C), pages 16-31.
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    Cited by:

    1. Santu Ghosh & Arpita Chatterjee & N. Balakrishnan, 2017. "Nonparametric confidence intervals for ranked set samples," Computational Statistics, Springer, vol. 32(4), pages 1689-1725, December.
    2. Shashi Bhushan & Anoop Kumar & Usman Shahzad & Amer Ibrahim Al-Omari & Ibrahim Mufrah Almanjahie, 2022. "On Some Improved Class of Estimators by Using Stratified Ranked Set Sampling," Mathematics, MDPI, vol. 10(18), pages 1-32, September.

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