Research Article

Bootstrap Approach for Testing More Than Two Population Means with Ranked Set Sampling

Volume: 36 Number: 4 December 1, 2023
EN

Bootstrap Approach for Testing More Than Two Population Means with Ranked Set Sampling

Abstract

In this study, hypothesis test is investigated based on Bootstrap sample selection methods to compare more than two population means under Ranked Set Sampling. Bootstrap sample selection methods are obtained by adapting Hui’s sample selection methods for confidence interval. We also compare these adapted methods with bootstrap simple random sampling and bootstrap ranked set sampling methods using simulation study. Simulation study shows that adapted methods which proposed in this paper perform quite well.

Keywords

References

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  2. [2] Takahasi, K., and Wakimoto, K., “On unbiased estimates of the population mean based on the sample stratified by means of ordering”, Annals of the Institude of Statistical Mathematics, 2: 249-255, (1968).
  3. [3] Dell, D. R., and Clutter, J. L., “Ranked set sampling theory with order statistics background”, Biometrics, 28: 545-555, (1972).
  4. [4] Muttlak, H. A., “Estimation of parameters for one‐way layout with rank set sampling”, Biometrical Journal, 38(4): 507-515, (1996).
  5. [5] Albatineh, A. N., Kibria, B. M. G., Wilcox, M. L., and Zogheib, B., “Confidence interval estimation for the population coefficient of variation using ranked set sampling: a simulation study”, Journal of Applied Statistics, 41: 733-751, (2014).
  6. [6] Mahdizadeh, M., and Zamanzade, E., “Interval estimation of p(x < y) in ranked set sampling”, Computational Statistics, 33: 325–1348, (2018).
  7. [7] Mahdizadeh, M., and Zamanzade, E., “Confidence intervals for quantiles in ranked set sampling”, Iranian Journal of Science and Technology, Transactions A: Science, 43(6): 3017-3028, (2019).
  8. [8] Shen, W. H., “On estimation of a log-normal mean using a ranked set sample”, Sankhya, 54(B): 323-333, (1994).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

December 1, 2023

Submission Date

December 18, 2021

Acceptance Date

October 12, 2022

Published in Issue

Year 2023 Volume: 36 Number: 4

APA
Yeniay Koçer, N., Özdemir, Y., & Gökpınar, F. (2023). Bootstrap Approach for Testing More Than Two Population Means with Ranked Set Sampling. Gazi University Journal of Science, 36(4), 1811-1832. https://doi.org/10.35378/gujs.1038212
AMA
1.Yeniay Koçer N, Özdemir Y, Gökpınar F. Bootstrap Approach for Testing More Than Two Population Means with Ranked Set Sampling. Gazi University Journal of Science. 2023;36(4):1811-1832. doi:10.35378/gujs.1038212
Chicago
Yeniay Koçer, Nurdan, Yaprak Özdemir, and Fikri Gökpınar. 2023. “Bootstrap Approach for Testing More Than Two Population Means With Ranked Set Sampling”. Gazi University Journal of Science 36 (4): 1811-32. https://doi.org/10.35378/gujs.1038212.
EndNote
Yeniay Koçer N, Özdemir Y, Gökpınar F (December 1, 2023) Bootstrap Approach for Testing More Than Two Population Means with Ranked Set Sampling. Gazi University Journal of Science 36 4 1811–1832.
IEEE
[1]N. Yeniay Koçer, Y. Özdemir, and F. Gökpınar, “Bootstrap Approach for Testing More Than Two Population Means with Ranked Set Sampling”, Gazi University Journal of Science, vol. 36, no. 4, pp. 1811–1832, Dec. 2023, doi: 10.35378/gujs.1038212.
ISNAD
Yeniay Koçer, Nurdan - Özdemir, Yaprak - Gökpınar, Fikri. “Bootstrap Approach for Testing More Than Two Population Means With Ranked Set Sampling”. Gazi University Journal of Science 36/4 (December 1, 2023): 1811-1832. https://doi.org/10.35378/gujs.1038212.
JAMA
1.Yeniay Koçer N, Özdemir Y, Gökpınar F. Bootstrap Approach for Testing More Than Two Population Means with Ranked Set Sampling. Gazi University Journal of Science. 2023;36:1811–1832.
MLA
Yeniay Koçer, Nurdan, et al. “Bootstrap Approach for Testing More Than Two Population Means With Ranked Set Sampling”. Gazi University Journal of Science, vol. 36, no. 4, Dec. 2023, pp. 1811-32, doi:10.35378/gujs.1038212.
Vancouver
1.Nurdan Yeniay Koçer, Yaprak Özdemir, Fikri Gökpınar. Bootstrap Approach for Testing More Than Two Population Means with Ranked Set Sampling. Gazi University Journal of Science. 2023 Dec. 1;36(4):1811-32. doi:10.35378/gujs.1038212