RSStest: An R Package for Hypothesis Test for Two Population Means with Ranked Set Sampling and Median Ranked Set Sampling
Abstract
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.
Keywords
Hypothesis test, Ranked set sampling, Median ranked set sampling, R-Package
References
- 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.
