A test statistic based on ranked set sampling for two normal means

ÖZDEMİR Y. A., EBEGİL M., GÖKPINAR F.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, cilt.46, sa.10, ss.8077-8085, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 10
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1080/03610918.2016.1263736
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.8077-8085
  • Anahtar Kelimeler: Hypothesis test, Monte Carlo, Ranked set sampling
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we considered a hypothesis test for the difference of two population means using ranked set sampling. We proposed a test statistic for this hypothesis test with more than one cycle under normality. We also investigate the performance of this test statistic, when the assumptions hold and are violated. For this reason, we investigate the type I error and power rates of tests under normality with equal and unequal variances, non-normality with equal and unequal variances. We also examine the performance of this test under imperfect ranking case. The simulation results show that derived test performs quite well.