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RSStest: An R Package for Hypothesis Test for Two Population Means with Ranked Set Sampling and Median Ranked Set Sampling

Yıl 2025, Cilt: 15 Sayı: 1, 303 - 318, 15.03.2025
https://doi.org/10.31466/kfbd.1547405

Öz

The hypothesis test for the equality of two population means of independent groups is the most commonly used statistical analysis with applications in medical sciences, agriculture, biology, engineering, social sciences and so on. This paper presents the RSStest package created to perform hypothesis testing for equality of two population means using ranked set sampling and median ranked set sampling. The package gives the test results such as test statistics, p value, critical values and basic comments. In addition, using this package, it is possible to select a sample from ranked set sampling and median ranked set sampling by ranking according to auxiliary variable from a given finite population. In addition, to demonstrate the use of these tests, a real data application on Copoeta trutta fish from Elazığ Keban Dam Lake was performed.

Kaynakça

  • Arnold, B. C., N. Balakrishnan, and H. N. Nagaraja. (2008). A first course in order statistics. SIAM.
  • Abu-Dayyeh W. and H. A. Muttlak. (1996). Using ranked set sampling for hypothesis tests on the scale parameter of the exponential and uniform distributions. NCBA&E.
  • Dell, T. and J. Clutter. (1972). Ranked set sampling theory with order statistics background. Biometrics, 545–555.
  • Dogan Y. and ̧S. Dursun. (2017). Keban baraj gölü’nde ya ̧sayan capoeta trutta (heckel, 1843)’da otolitbiyometrisi-balık boyu ilişkisi. Fırat Üniversitesi Fen Bilimleri Dergisi, 29(2):33–38.
  • Gokpinar, F., M. Ebegil, Y. Ozdemir, and E. Gokpinar. (2023). Package ‘RSStest’. R Foundation for Statistical Computing, Vienna, Austria, URL https://cran.r project.org/web/packages/RSStest/index.html.
  • Hatefi, A., M. J. Jozani, and O. Ozturk. (2015). Mixture model analysis of partially rank-ordered set samples: age groups of fish from length-frequency data. Scandinavian Journal of Statistics, 42(3):848–871.
  • MacEachern, S. N., Ö. Öztürk, D. A. Wolfe, and G. V. Stark. (2002). A new ranked set sample estimator of variance. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 64(2):177–188.
  • McIntyre G. (1952). A method for unbiased selective sampling, using ranked sets. Australian journal of agricultural research, 3(4):385–390.
  • Muttlak H. (1997). Median ranked set sampling. Journal of Applied Statistics , 6:245–255.
  • Muttlak, H. A. and W. Abu-Dayyeh. (1998). Testing some hypotheses about the normal distribution using ranked set sample: a more powerful test. Journal of Information and Optimization Sciences, 19(1):1–11.
  • Özdemir, Y. A., M. Ebegil, and F. Gökpinar. (2017). A test statistic based on ranked set sampling for two normal means. Communications in Statistics: Simulation and Computation, 46(10):8077–8085.
  • Özdemir, Y. A., M. Ebegil, and F. Gökpinar. (2019). 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.
  • Ozturk, O. and N. Balakrishnan. (2009). Exact two-sample nonparametric test for quantile difference between two populations based on ranked set samples. Annals of the Institute of Statistical Mathematics, 61(1): 235–249.
  • Sevinc, B., Cetintav, B., Esemen, M., and Gürler, S. (2019). RSSampling: A pioneering package for ranked set sampling. R Journal, 11(1).
  • Shen, W.H. (1994). Use oe ranked set sampling for test of a normal mean. Calcutta Statistical Association Bulletin , 44(3-4):183–194.
  • Takahasi, K. and K. Wakimoto. (1968). On unbiased estimates of the population mean based on the sample stratified by means of ordering. Annals of the institute of statistical mathematics, 20(1):1–31.
  • Tseng, Y.L. and S.W. Wu. (2007). Ranked-set-sample-based tests for normal and exponential means. Communications in Statistics: Simulation and Computation, 36(4):761–782.
  • Wang, Y.G., Y. Ye, and D. A. Milton. (2009). Efficient designs for sampling and subsampling in fisheries research based on ranked sets. ICES Journal of Marine Science, 66(5):928–934.

RSStest: Sıralı Küme Örneklemesi ve Medyan Sıralı Küme Örneklemesi ile İki Yığın Hipotez Testi için R Paketi

Yıl 2025, Cilt: 15 Sayı: 1, 303 - 318, 15.03.2025
https://doi.org/10.31466/kfbd.1547405

Öz

İki bağımsız grubun yığın ortalamalarının eşitliği için hipotez testi, tıp bilimleri, tarım, biyoloji, mühendislik, sosyal bilimler gibi birçok alanda yaygın olarak kullanılan bir istatistiksel analizdir. Bu makalede, sıralı küme örneklemesi ve medyan sıralı küme örneklemesi kullanılarak iki yığın ortalamasının eşitliği hipotez testini gerçekleştirmek için oluşturulan RSStest paketi sunulmuştur. Paket, test istatistikleri, p değeri, kritik değerler ve temel yorumlar gibi test sonuçlarını vermektedir. Ayrıca, bu paket kullanılarak, verilen sonlu bir yığından yardımcı değişkene göre sıralama yapılarak, sıralı küme örneklemesi ve medyan sıralı küme örneklemesi ile örnek seçmek de mümkündür. Ek olarak, bu testlerin kullanımını göstermek amacıyla Elazığ Keban Baraj Gölü Copoeta trutta türü balıklara ilişkin gerçek veri uygulaması yapılmıştır.

Kaynakça

  • Arnold, B. C., N. Balakrishnan, and H. N. Nagaraja. (2008). A first course in order statistics. SIAM.
  • Abu-Dayyeh W. and H. A. Muttlak. (1996). Using ranked set sampling for hypothesis tests on the scale parameter of the exponential and uniform distributions. NCBA&E.
  • Dell, T. and J. Clutter. (1972). Ranked set sampling theory with order statistics background. Biometrics, 545–555.
  • Dogan Y. and ̧S. Dursun. (2017). Keban baraj gölü’nde ya ̧sayan capoeta trutta (heckel, 1843)’da otolitbiyometrisi-balık boyu ilişkisi. Fırat Üniversitesi Fen Bilimleri Dergisi, 29(2):33–38.
  • Gokpinar, F., M. Ebegil, Y. Ozdemir, and E. Gokpinar. (2023). Package ‘RSStest’. R Foundation for Statistical Computing, Vienna, Austria, URL https://cran.r project.org/web/packages/RSStest/index.html.
  • Hatefi, A., M. J. Jozani, and O. Ozturk. (2015). Mixture model analysis of partially rank-ordered set samples: age groups of fish from length-frequency data. Scandinavian Journal of Statistics, 42(3):848–871.
  • MacEachern, S. N., Ö. Öztürk, D. A. Wolfe, and G. V. Stark. (2002). A new ranked set sample estimator of variance. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 64(2):177–188.
  • McIntyre G. (1952). A method for unbiased selective sampling, using ranked sets. Australian journal of agricultural research, 3(4):385–390.
  • Muttlak H. (1997). Median ranked set sampling. Journal of Applied Statistics , 6:245–255.
  • Muttlak, H. A. and W. Abu-Dayyeh. (1998). Testing some hypotheses about the normal distribution using ranked set sample: a more powerful test. Journal of Information and Optimization Sciences, 19(1):1–11.
  • Özdemir, Y. A., M. Ebegil, and F. Gökpinar. (2017). A test statistic based on ranked set sampling for two normal means. Communications in Statistics: Simulation and Computation, 46(10):8077–8085.
  • Özdemir, Y. A., M. Ebegil, and F. Gökpinar. (2019). 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.
  • Ozturk, O. and N. Balakrishnan. (2009). Exact two-sample nonparametric test for quantile difference between two populations based on ranked set samples. Annals of the Institute of Statistical Mathematics, 61(1): 235–249.
  • Sevinc, B., Cetintav, B., Esemen, M., and Gürler, S. (2019). RSSampling: A pioneering package for ranked set sampling. R Journal, 11(1).
  • Shen, W.H. (1994). Use oe ranked set sampling for test of a normal mean. Calcutta Statistical Association Bulletin , 44(3-4):183–194.
  • Takahasi, K. and K. Wakimoto. (1968). On unbiased estimates of the population mean based on the sample stratified by means of ordering. Annals of the institute of statistical mathematics, 20(1):1–31.
  • Tseng, Y.L. and S.W. Wu. (2007). Ranked-set-sample-based tests for normal and exponential means. Communications in Statistics: Simulation and Computation, 36(4):761–782.
  • Wang, Y.G., Y. Ye, and D. A. Milton. (2009). Efficient designs for sampling and subsampling in fisheries research based on ranked sets. ICES Journal of Marine Science, 66(5):928–934.
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Bilgisayar Yazılımı
Bölüm Makaleler
Yazarlar

Fikri Gökpınar 0000-0002-6310-8727

Yaprak Arzu Özdemir 0000-0003-3752-9744

Meral Ebegil 0000-0003-4798-3422

Esra Gökpınar 0000-0003-2148-4940

Yayımlanma Tarihi 15 Mart 2025
Gönderilme Tarihi 10 Eylül 2024
Kabul Tarihi 3 Şubat 2025
Yayımlandığı Sayı Yıl 2025 Cilt: 15 Sayı: 1

Kaynak Göster

APA Gökpınar, F., Özdemir, Y. A., Ebegil, M., Gökpınar, E. (2025). RSStest: An R Package for Hypothesis Test for Two Population Means with Ranked Set Sampling and Median Ranked Set Sampling. Karadeniz Fen Bilimleri Dergisi, 15(1), 303-318. https://doi.org/10.31466/kfbd.1547405