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

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.

Keywords

• Agriculture,sampling,simple random sampling (SRS),ranked set sampling,Juglans

Kaynakça

1. Akça, Y. (2000), Cevizlerde Meyve Büyümesi ve Meyve Gelişiminin Saptanması Üzerinde bir Araştırma. Turk. J. Agric. For. 24 (2000), 349-354.
2. 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.
3. 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.
4. 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.
5. Al-Odat,M.T., Al-Saleh,M.F.( 2001). A variation of ranked set sampling. Journal of Applied Statistical Science. Vol.10,137–146.
6. 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.
7. 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.
8. 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.

9. Çıngı, H. (1994). Örnekleme Kuramı. Hacettepe Üniversitesi Fen Fakültesi Basımevi, p. 2, 11.
10. 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.
11. Deshpande, J. V. (2013). Ranked set sampling for environmental studies. Indian Institute of Science Education and Research. pp. 16.
12. 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.
13. 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.
14. 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.
15. 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.
16. Kılıç, S. (2013). Sampling Methods. Journal of Mood Disorders. 3(1): 44-6.
17. 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.
18. 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.
19. McInytre, G. A. (1952). A method for unbiased selective sampling using ranked sets. Australian Journal of Agricultural Research. 3, 385-390.
20. Muttlak H. A. (1997). Median ranked set sampling. J. App. Stat. Scien. 6 (4), 245-255.
21. Muttlak, H. A. (2003). Investigating the use of quartile ranked set samples for estimating the population mean. Applied Mathematics and Computation. 146, 437.
22. Muttlak, H. A., Abu- Dayyeh, W. (2004). Weighted modified ranked set sampling methods. Applied Mathematics and Computation. 151, 645-657.
23. Salvadó, J. S., E. R. Rahola, J. S. Casellas (2005). Frutos Secos. Salud y Culturas Mediterráneas, Editorial Glosa. SL, Barcelona, Julio.
24. 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.
25. 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.
26. 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.
27. 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.
28. 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.
29. Yalçın, M. et al. (2012). Ceviz meyvesinin hasadında kullanılan farklı yöntemlerin karşılaştırılması. Türk Mikrobiyoloji Cem Derg. 41 (2) : 13-21.
30. Yaman, K. (2012). Bitkisel atıkların değerlendirilmesi ve ekonomik önemi. Kastamonu Üni. Orman Fakültesi Dergisi. 12 (2): 339-348.
31. Yıldız, H. (2007). Sıralı Küme Örneklemesi Yöntemi İle Yatırımcı Profili Analizi. Marmara Üniversitesi. Unpublished Thesis, pp. 27-66.
32. Yiğit, D., Yigit, N., Aktas, E., Ozgen, U. (2009). Cevizin antimikrobiyal aktivitesi. Türk Mikrobiyol Cem Derg. 41 (2): 13-21.
33. 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.