Research Article
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Year 2023, Volume: 36 Issue: 4, 1811 - 1832, 01.12.2023
https://doi.org/10.35378/gujs.1038212

Abstract

References

  • [1] McIntyre, G. A., ‘‘A method of unbiased selective sampling using ranked sets”, Australian Journal of Agricultural Research, 3: 385-390, (1952).
  • [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] Dell, D. R., and Clutter, J. L., “Ranked set sampling theory with order statistics background”, Biometrics, 28: 545-555, (1972).
  • [4] Muttlak, H. A., “Estimation of parameters for one‐way layout with rank set sampling”, Biometrical Journal, 38(4): 507-515, (1996).
  • [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] Mahdizadeh, M., and Zamanzade, E., “Interval estimation of p(x < y) in ranked set sampling”, Computational Statistics, 33: 325–1348, (2018).
  • [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] Shen, W. H., “On estimation of a log-normal mean using a ranked set sample”, Sankhya, 54(B): 323-333, (1994).
  • [9] Abu-Dayyeh, W. A., and Muttlak, H. A., “Using ranked set sampling for hypothesis tests on the scale parameter of the exponential and uniform distributions”, Pakistan Journal of Statistics, 12(2): 131-138, (1996).
  • [10] Özdemir, Y. A., and Gökpınar, F., “Hypothesis testing for the population mean using unbiased ranked set sampling designs”, International Journal of Pure and Applied Mathematics, 31: 501-513, (2006).
  • [11] Özdemir, Y. A., Ebegil, M., and Gökpınar, F., “A test statistic based on ranked set sampling for two normal means”, Journal Communications in Statistics - Simulation and Computation, 46(10): 8077-8085, (2017).
  • [12] Özdemir, Y. A., Ebegil, M., and Gökpınar, F., “A test statistic for two normal means with median ranked set sampling”, Iranian Journal of Science and Technology, Transactions A: Science, 43(3): 1109–1126, (2019).
  • [13] Karadağ, Ö., Bacanlı, S., “Hypothesis testing for the inverse Gaussian distribution mean based on ranked set sampling”, Journal of Statistical Computation and Simulation, 90(13): 2384-2394, (2020).
  • [14] Efron, B., “Bootstrap methods: another look at jackknife”, Institute of Mathematical Statistics, 7: 1-26, (1979).
  • [15] Chernick, M. R., “Bootstrap methods: a guide for practitioners and researchers”, (Second edition), New Jersey :John Wiley and Sons, 6-8, (2008).
  • [16] Davison, A. C., and Hinkley, D. V., “Bootstrap methods and their application” (First edition), United Kingdom:Cambridge University Press, 25-30, (1997).
  • [17] Manly, B.F., “Randomization, bootstrap and monte carlo merthods in biology” (Third edition), United States of America:Taylor & Francis Group, 113, (2006).
  • [18] Hui, T. P., Modarres, R., and Zheng, G., “Bootstrap confidence interval estimation of mean via ranked set sampling linear regression”, Journal of the Statistical Computaion and Simulation, 75: 543-553, (2005).
  • [19] Yeniay, N., Özdemir, Y.A., and Gökpınar, F., “New bootstrap methods for the hypothesis tests of the population mean in ranked set sampling”, Süleyman Demirel University Journal of Natural and Applied Sciences, 24(1): 64-71, (2020).

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

Year 2023, Volume: 36 Issue: 4, 1811 - 1832, 01.12.2023
https://doi.org/10.35378/gujs.1038212

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.

References

  • [1] McIntyre, G. A., ‘‘A method of unbiased selective sampling using ranked sets”, Australian Journal of Agricultural Research, 3: 385-390, (1952).
  • [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] Dell, D. R., and Clutter, J. L., “Ranked set sampling theory with order statistics background”, Biometrics, 28: 545-555, (1972).
  • [4] Muttlak, H. A., “Estimation of parameters for one‐way layout with rank set sampling”, Biometrical Journal, 38(4): 507-515, (1996).
  • [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] Mahdizadeh, M., and Zamanzade, E., “Interval estimation of p(x < y) in ranked set sampling”, Computational Statistics, 33: 325–1348, (2018).
  • [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] Shen, W. H., “On estimation of a log-normal mean using a ranked set sample”, Sankhya, 54(B): 323-333, (1994).
  • [9] Abu-Dayyeh, W. A., and Muttlak, H. A., “Using ranked set sampling for hypothesis tests on the scale parameter of the exponential and uniform distributions”, Pakistan Journal of Statistics, 12(2): 131-138, (1996).
  • [10] Özdemir, Y. A., and Gökpınar, F., “Hypothesis testing for the population mean using unbiased ranked set sampling designs”, International Journal of Pure and Applied Mathematics, 31: 501-513, (2006).
  • [11] Özdemir, Y. A., Ebegil, M., and Gökpınar, F., “A test statistic based on ranked set sampling for two normal means”, Journal Communications in Statistics - Simulation and Computation, 46(10): 8077-8085, (2017).
  • [12] Özdemir, Y. A., Ebegil, M., and Gökpınar, F., “A test statistic for two normal means with median ranked set sampling”, Iranian Journal of Science and Technology, Transactions A: Science, 43(3): 1109–1126, (2019).
  • [13] Karadağ, Ö., Bacanlı, S., “Hypothesis testing for the inverse Gaussian distribution mean based on ranked set sampling”, Journal of Statistical Computation and Simulation, 90(13): 2384-2394, (2020).
  • [14] Efron, B., “Bootstrap methods: another look at jackknife”, Institute of Mathematical Statistics, 7: 1-26, (1979).
  • [15] Chernick, M. R., “Bootstrap methods: a guide for practitioners and researchers”, (Second edition), New Jersey :John Wiley and Sons, 6-8, (2008).
  • [16] Davison, A. C., and Hinkley, D. V., “Bootstrap methods and their application” (First edition), United Kingdom:Cambridge University Press, 25-30, (1997).
  • [17] Manly, B.F., “Randomization, bootstrap and monte carlo merthods in biology” (Third edition), United States of America:Taylor & Francis Group, 113, (2006).
  • [18] Hui, T. P., Modarres, R., and Zheng, G., “Bootstrap confidence interval estimation of mean via ranked set sampling linear regression”, Journal of the Statistical Computaion and Simulation, 75: 543-553, (2005).
  • [19] Yeniay, N., Özdemir, Y.A., and Gökpınar, F., “New bootstrap methods for the hypothesis tests of the population mean in ranked set sampling”, Süleyman Demirel University Journal of Natural and Applied Sciences, 24(1): 64-71, (2020).
There are 19 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Statistics
Authors

Nurdan Yeniay Koçer 0000-0001-8263-1524

Yaprak Özdemir 0000-0003-3752-9744

Fikri Gökpınar 0000-0002-6310-8727

Publication Date December 1, 2023
Published in Issue Year 2023 Volume: 36 Issue: 4

Cite

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 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. December 2023;36(4):1811-1832. doi:10.35378/gujs.1038212
Chicago Yeniay Koçer, Nurdan, Yaprak Özdemir, and Fikri Gökpınar. “Bootstrap Approach for Testing More Than Two Population Means With Ranked Set Sampling”. Gazi University Journal of Science 36, no. 4 (December 2023): 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 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, 2023, doi: 10.35378/gujs.1038212.
ISNAD Yeniay Koçer, Nurdan et al. “Bootstrap Approach for Testing More Than Two Population Means With Ranked Set Sampling”. Gazi University Journal of Science 36/4 (December 2023), 1811-1832. https://doi.org/10.35378/gujs.1038212.
JAMA 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, 2023, pp. 1811-32, doi:10.35378/gujs.1038212.
Vancouver 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):1811-32.