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A comparative study of Ranked Set Sampling (RSS) and Simple Random Sampling (SRS) in agricultural studies: A case study on the walnut tree

Year 2020, Volume: 8 Issue: 1, 94 - 108, 06.03.2020
https://doi.org/10.31195/ejejfs.619271

Abstract

Sampling methods are used
extensively in agricultural researches. In the sampling process, taking into
consideration the characteristics of the target population and the use of a sampling
method which can best represent the population make the estimates more
sensitive and lead better estimations for the population. Several sampling
methods have been developed for this purpose. In particular, Ranked Set
Sampling (RSS) is a method that is used where it is difficult to measure all
the units in the population, but it is easy and cheap to sort units in a small-sized
population. In this study, we used the data based on the type of walnut tree
leafage, Şebin, from a walnut garden established in the province of Giresun.
The data was analyzed by using RSS designs and Simple Random Sampling (SRS)
method to determine the mean estimators of the population. Finally, estimation
performances of the SRS and RSS methods were compared accordingly. The study
also emphasizes the advantage the RSS method requires fewer examples than the
SRS method.


References

  • Akça, Y. (2000), Cevizlerde Meyve Büyümesi ve Meyve Gelişiminin Saptanması Üzerinde bir Araştırma. Turk. J. Agric. For. 24 (2000), 349-354.
  • Akıncı, N., Özdemir, Y. A., (2010a). L- Sıralı Küme Örneklemesi Kullanılarak Yığın Ortalamasının Tahmin Edilmesi. VII. İstatistik Günleri Sempozyumu, VII. İstatistik Günleri Sempozyumu, 28–30 Haziran 2010, Ankara, Turkey.
  • Akıncı, N., Özdemir, Y. A., (2010b). A Study on The Efficiencies of Multistage Ranked Set Sampling Designs. Journal of Natural & Applied Sciences. Vol. 15 Issue 2, pp.127-134.
  • Al-Nasser, A. D. (2007). L ranked set sampling: A generalization procedure for robust visual sampling. Communications in Statistics-Simulation and Computation. 36: 33-43.
  • Al-Odat,M.T., Al-Saleh,M.F.( 2001). A variation of ranked set sampling. Journal of Applied Statistical Science. Vol.10,137–146.
  • Al-Saleh, M. F., Samuh, M. H., (2009). On multistage ranked set sampling for distribution and median estimation. Computational Statistics & Data Analysis. 52, 2066-2078.
  • Balci, S., Akkaya, A., Ulgen, B.E. (2013). Modified maximum likelihood estimators using ranked set sampling. Journal of Computational and Applied Mathematics. 238, 171–179.
  • Chen, W., Xie, M., Wu, M. (2013). Parametric estimation for the scale parameter for scale distributions using moving extremes ranked set sampling. Statistics and Probability Letters. 82, 2060-2066.
  • Çıngı, H. (1994). Örnekleme Kuramı. Hacettepe Üniversitesi Fen Fakültesi Basımevi, p. 2, 11.
  • Demir, B. (2018). Application of data mining and adaptive neuro-fuzzy structure to predict colour parameters of walnuts (Juglans regia L.). Turk. J. Agric. For. 42, 216-225.
  • Deshpande, J. V. (2013). Ranked set sampling for environmental studies. Indian Institute of Science Education and Research. pp. 16.
  • Dumanoğlu, H. (2000). Dessiccation Using saturated Salt Solutions and Improvement Germination Rate of Walnut (Juglans regia L.) Somatic Embryos. Turk. J. Agric. For. 24, 491-498.
  • Figueroa, F., Marhuenda, J., Gironés-Vilaplana, A., Villaño, D., Martínez-Cachá, A., Mulero, J., Cerdá, B., Zafrilla P. (2017). Soil and climate determine the antioxidant capacity of walnuts. Emirates Journal of Food and Agriculture. 29(7): 557-561.
  • Gökpınar, F., Özdemir, Y. A., Esin, A. A. (2005). Comparing the efficiency of the estimators for the population mean under different designs of ranked set sampling. Gazi Üniversitesi Fen Bilimleri Dergisi. 18, 3, 329-339.
  • Kantay, R., As. Nusret, Ünsal, Ö. (2000). Ceviz (Juglans regia L.) odununun Yoğunluğu ve Bazı Mekanik Özellikleri. Turk. J. Agric. For. 24 (2000), 751-756.
  • Kılıç, S. (2013). Sampling Methods. Journal of Mood Disorders. 3(1): 44-6.
  • Koyuncu, M.A., Aşkın, M.A. (1999), Van Gölü çevresinde yetiştiriciliği yapılan bazı ceviz tiplerinin depolanması üzerine çalışmalar. Turk. J. Agric. For. 23 (1999), 785-796.
  • Martin, W.L., Sharik, T.L., Oderwald, R.G., Smith, D.W. (1980). Evaluation of ranked set sampling for estimating shrub phytomass in Appalachian oak forests, Publication Number FWS-4-80. School of Forestry and Wildlife Resources. Virginia Polytechnic Institute and State University, Blacksburg.
  • McInytre, G. A. (1952). A method for unbiased selective sampling using ranked sets. Australian Journal of Agricultural Research. 3, 385-390.
  • Muttlak H. A. (1997). Median ranked set sampling. J. App. Stat. Scien. 6 (4), 245-255.
  • Muttlak, H. A. (2003). Investigating the use of quartile ranked set samples for estimating the population mean. Applied Mathematics and Computation. 146, 437.
  • Muttlak, H. A., Abu- Dayyeh, W. (2004). Weighted modified ranked set sampling methods. Applied Mathematics and Computation. 151, 645-657.
  • Salvadó, J. S., E. R. Rahola, J. S. Casellas (2005). Frutos Secos. Salud y Culturas Mediterráneas, Editorial Glosa. SL, Barcelona, Julio.
  • Samawi, H. M., Ahmed, M. S., Abu-Dayyeh, W. (1996). Estimation of the population mean using extreme ranked set sampling. Biometric Journal. 38, 5, 577-586.
  • Sütyemez, M. (2007). Determination of Pollen Production and Quality of Some Local and Foreign Walnut Genotypes in Turkey. Turk. J. Agric. For. 31 (2007), 109-114.
  • Şan, B., Dumanoğlu, H. (2006). Somatic Embryogenesis from Immature Cotyledons of Apomictic and Non-Apomictic Seeds in Walnut (Juglans regia L.). Turk. J. Agric. For. 30, 111-117.
  • Şan, B., Dumanoğlu, H. (2006). Determination of Apomictic Fruit Set Ratio in Some Turkish Walnut (Juglans regia L.) Genotypes. Turk. J. Agric. For. 30 (2006), 189-193.
  • Takahasi, K., Wakimoto, K. (1968). On unbiased estimates of the population mean based on the sample stratified by means of ordering. Ann. Inst. Statist. Math. 20, 1-31.
  • Yalçın, M. et al. (2012). Ceviz meyvesinin hasadında kullanılan farklı yöntemlerin karşılaştırılması. Türk Mikrobiyoloji Cem Derg. 41 (2) : 13-21.
  • Yaman, K. (2012). Bitkisel atıkların değerlendirilmesi ve ekonomik önemi. Kastamonu Üni. Orman Fakültesi Dergisi. 12 (2): 339-348.
  • Yıldız, H. (2007). Sıralı Küme Örneklemesi Yöntemi İle Yatırımcı Profili Analizi. Marmara Üniversitesi. Unpublished Thesis, pp. 27-66.
  • Yiğit, D., Yigit, N., Aktas, E., Ozgen, U. (2009). Cevizin antimikrobiyal aktivitesi. Türk Mikrobiyol Cem Derg. 41 (2): 13-21.
  • Zhang, B., Zheng, A., Zhou,L., Huang, Z., Wang, S. (2016). Developing hot air-assisted radio frequency drying protocols for in-shell walnuts. Emirates Journal of Food and Agriculture. 28(7): 459-467.
Year 2020, Volume: 8 Issue: 1, 94 - 108, 06.03.2020
https://doi.org/10.31195/ejejfs.619271

Abstract

References

  • Akça, Y. (2000), Cevizlerde Meyve Büyümesi ve Meyve Gelişiminin Saptanması Üzerinde bir Araştırma. Turk. J. Agric. For. 24 (2000), 349-354.
  • Akıncı, N., Özdemir, Y. A., (2010a). L- Sıralı Küme Örneklemesi Kullanılarak Yığın Ortalamasının Tahmin Edilmesi. VII. İstatistik Günleri Sempozyumu, VII. İstatistik Günleri Sempozyumu, 28–30 Haziran 2010, Ankara, Turkey.
  • Akıncı, N., Özdemir, Y. A., (2010b). A Study on The Efficiencies of Multistage Ranked Set Sampling Designs. Journal of Natural & Applied Sciences. Vol. 15 Issue 2, pp.127-134.
  • Al-Nasser, A. D. (2007). L ranked set sampling: A generalization procedure for robust visual sampling. Communications in Statistics-Simulation and Computation. 36: 33-43.
  • Al-Odat,M.T., Al-Saleh,M.F.( 2001). A variation of ranked set sampling. Journal of Applied Statistical Science. Vol.10,137–146.
  • Al-Saleh, M. F., Samuh, M. H., (2009). On multistage ranked set sampling for distribution and median estimation. Computational Statistics & Data Analysis. 52, 2066-2078.
  • Balci, S., Akkaya, A., Ulgen, B.E. (2013). Modified maximum likelihood estimators using ranked set sampling. Journal of Computational and Applied Mathematics. 238, 171–179.
  • Chen, W., Xie, M., Wu, M. (2013). Parametric estimation for the scale parameter for scale distributions using moving extremes ranked set sampling. Statistics and Probability Letters. 82, 2060-2066.
  • Çıngı, H. (1994). Örnekleme Kuramı. Hacettepe Üniversitesi Fen Fakültesi Basımevi, p. 2, 11.
  • Demir, B. (2018). Application of data mining and adaptive neuro-fuzzy structure to predict colour parameters of walnuts (Juglans regia L.). Turk. J. Agric. For. 42, 216-225.
  • Deshpande, J. V. (2013). Ranked set sampling for environmental studies. Indian Institute of Science Education and Research. pp. 16.
  • Dumanoğlu, H. (2000). Dessiccation Using saturated Salt Solutions and Improvement Germination Rate of Walnut (Juglans regia L.) Somatic Embryos. Turk. J. Agric. For. 24, 491-498.
  • Figueroa, F., Marhuenda, J., Gironés-Vilaplana, A., Villaño, D., Martínez-Cachá, A., Mulero, J., Cerdá, B., Zafrilla P. (2017). Soil and climate determine the antioxidant capacity of walnuts. Emirates Journal of Food and Agriculture. 29(7): 557-561.
  • Gökpınar, F., Özdemir, Y. A., Esin, A. A. (2005). Comparing the efficiency of the estimators for the population mean under different designs of ranked set sampling. Gazi Üniversitesi Fen Bilimleri Dergisi. 18, 3, 329-339.
  • Kantay, R., As. Nusret, Ünsal, Ö. (2000). Ceviz (Juglans regia L.) odununun Yoğunluğu ve Bazı Mekanik Özellikleri. Turk. J. Agric. For. 24 (2000), 751-756.
  • Kılıç, S. (2013). Sampling Methods. Journal of Mood Disorders. 3(1): 44-6.
  • Koyuncu, M.A., Aşkın, M.A. (1999), Van Gölü çevresinde yetiştiriciliği yapılan bazı ceviz tiplerinin depolanması üzerine çalışmalar. Turk. J. Agric. For. 23 (1999), 785-796.
  • Martin, W.L., Sharik, T.L., Oderwald, R.G., Smith, D.W. (1980). Evaluation of ranked set sampling for estimating shrub phytomass in Appalachian oak forests, Publication Number FWS-4-80. School of Forestry and Wildlife Resources. Virginia Polytechnic Institute and State University, Blacksburg.
  • McInytre, G. A. (1952). A method for unbiased selective sampling using ranked sets. Australian Journal of Agricultural Research. 3, 385-390.
  • Muttlak H. A. (1997). Median ranked set sampling. J. App. Stat. Scien. 6 (4), 245-255.
  • Muttlak, H. A. (2003). Investigating the use of quartile ranked set samples for estimating the population mean. Applied Mathematics and Computation. 146, 437.
  • Muttlak, H. A., Abu- Dayyeh, W. (2004). Weighted modified ranked set sampling methods. Applied Mathematics and Computation. 151, 645-657.
  • Salvadó, J. S., E. R. Rahola, J. S. Casellas (2005). Frutos Secos. Salud y Culturas Mediterráneas, Editorial Glosa. SL, Barcelona, Julio.
  • Samawi, H. M., Ahmed, M. S., Abu-Dayyeh, W. (1996). Estimation of the population mean using extreme ranked set sampling. Biometric Journal. 38, 5, 577-586.
  • Sütyemez, M. (2007). Determination of Pollen Production and Quality of Some Local and Foreign Walnut Genotypes in Turkey. Turk. J. Agric. For. 31 (2007), 109-114.
  • Şan, B., Dumanoğlu, H. (2006). Somatic Embryogenesis from Immature Cotyledons of Apomictic and Non-Apomictic Seeds in Walnut (Juglans regia L.). Turk. J. Agric. For. 30, 111-117.
  • Şan, B., Dumanoğlu, H. (2006). Determination of Apomictic Fruit Set Ratio in Some Turkish Walnut (Juglans regia L.) Genotypes. Turk. J. Agric. For. 30 (2006), 189-193.
  • Takahasi, K., Wakimoto, K. (1968). On unbiased estimates of the population mean based on the sample stratified by means of ordering. Ann. Inst. Statist. Math. 20, 1-31.
  • Yalçın, M. et al. (2012). Ceviz meyvesinin hasadında kullanılan farklı yöntemlerin karşılaştırılması. Türk Mikrobiyoloji Cem Derg. 41 (2) : 13-21.
  • Yaman, K. (2012). Bitkisel atıkların değerlendirilmesi ve ekonomik önemi. Kastamonu Üni. Orman Fakültesi Dergisi. 12 (2): 339-348.
  • Yıldız, H. (2007). Sıralı Küme Örneklemesi Yöntemi İle Yatırımcı Profili Analizi. Marmara Üniversitesi. Unpublished Thesis, pp. 27-66.
  • Yiğit, D., Yigit, N., Aktas, E., Ozgen, U. (2009). Cevizin antimikrobiyal aktivitesi. Türk Mikrobiyol Cem Derg. 41 (2): 13-21.
  • Zhang, B., Zheng, A., Zhou,L., Huang, Z., Wang, S. (2016). Developing hot air-assisted radio frequency drying protocols for in-shell walnuts. Emirates Journal of Food and Agriculture. 28(7): 459-467.
There are 33 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Arzu Altin Yavuz 0000-0002-3277-740X

Derya Öz

Publication Date March 6, 2020
Submission Date September 12, 2019
Published in Issue Year 2020 Volume: 8 Issue: 1

Cite

APA Altin Yavuz, A., & Öz, D. (2020). A comparative study of Ranked Set Sampling (RSS) and Simple Random Sampling (SRS) in agricultural studies: A case study on the walnut tree. Eurasian Journal of Forest Science, 8(1), 94-108. https://doi.org/10.31195/ejejfs.619271

E-mail: Hbarist@gmail.com 

ISSN: 2147-7493

Eurasian Journal of Forest Science © 2013 is licensed under CC BY 4.0