Comparing J independent groups with a method based on trimmed means

Özdemir A. F., Wilcox R. R., Yıldıztepe E.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, cilt.47, sa.3, ss.852-863, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1080/03610918.2017.1295152
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.852-863
  • Anahtar Kelimeler: ANOVA, Bootstrap-t, Percentile bootstrap, Trimmed mean, NONNORMALITY, STATISTICS, EQUALITY
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

The ANOVA-F test is the most popular and commonly used procedure for comparing J independent groups. However, it is well known that this method is very sensitive to non-normality, which has led to the derivation of alternative techniques based on robust estimators. In this work, ANOVA-F-test, trimmed mean Welch test, bootstrap-t trimmed mean Welch test, Schrader and Hettmansperger method with trimmed means, a percentile bootstrap method with trimmed means and a newly proposed method were compared in terms of both the Type I error probability and power. The proposed method compares well with ANOVA-F and other alternatives under various situations.