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Dergiler / Gazi University Journal of Science / 2023 / Volume: 36 Issue: 4

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

Nurdan Yeniay Koçer0000-0001-8263-1524
Yaprak Özdemir(GAZİ ÜNİVERSİTESİ)0000-0003-3752-9744
Fikri Gökpınar(GAZİ ÜNİVERSİTESİ)0000-0002-6310-8727
Sayfa
—
Yayın Tarihi
2023-12-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Simulation study shows that adapted methods which proposed in this paper perform quite well.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, hypothesis test is investigated based on Bootstrap sample selection methods to compare more than two population means under Ranked Set Sampling.
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Temel Bulgular & Veri:Bootstrap sample selection methods are obtained by adapting Hui’s sample selection methods for confidence interval.
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Sonuç & Katkı:Simulation study shows that adapted methods which proposed in this paper perform quite well.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Ranked set sampling · Bootstrap · ANOVA

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.

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Bu Makaleye Atıf Yap

Koçer, N. Y., Özdemir, Y., Gökpınar, F. (2023). Bootstrap Approach for Testing More Than Two Population Means with Ranked Set Sampling. Gazi University Journal of Science, Volume: 36 Issue: 4. https://doi.org/10.35378/gujs.1038212

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Kaynakça (20)

  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).
  20. Chernick, M. R., “Bootstrap methods: a guide for practitioners and researchers”, (Second edition), New Jersey:John Wiley and Sons, 6-8, (2008).