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A TEST FOR COMPARING k INDEPENDENT GROUPS WITH A MEASURE OF LOCATION

Year 2013, Volume: 14 Issue: 3, 241 - 249, 04.05.2015

Fırat Özdemir , Engin Yıldıztepe

Abstract

It is well known that the conventional method for comparing k independent groups, one-way ANOVA F test, depends on normal theory assumptions. In this work, a new test is proposed which is based on trimmed means and a bootstrap t method. The proposed test, ANOV A F test and its rank- based nonparametric counterpart Kruskal-Wallis test were compared in terms of saving nom nal Type I error via Monte Carlo simulations by using moderate sample sizes. It was fo und that the proposed test copes quite well under normality and homogeneity and it was much more preferable than those two traditional tests under non-normality and heterogeneity of variances

Keywords

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References

  • Bailey, B.J.R. (1980). Accurate Normalizing Transformations of Student’s t Variate. Applied Statistics, 29, 304-306.
  • Bradley, J.V. (1978). Robustness? British Journal of Mathematical and Statistical Psychology, 31, 144-152.
  • Hoaglin, D.C. (1985). Summerazing Shape Numerically: The g and h Distributions. In D. Hoaglin, F. Mosteller, & J. Tukey (Eds.), Exploring Data Tables, Trends, and Shapes. 461-513. New York: Wiley.
  • Özdemir A.F., Kurt S. (2007). Tek Yönlü Özel Seçimli Varyans Çözümlemesinde Farklı Varyanslılık Sorunu ve Bir Çözüm Önerisi. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi, 8 (1), 93-102.
  • Staudte, R.G., and Sheater, S.J. (1990). Robust Estimation and Testing. Newyork: Wiley.
  • Ted' Micceri's Web Site.
  • (http://www.freewebs.com/tedstats. Alıntı tarihi: 01.10.2012.)
  • Wilcox, R.R. (2012). Introduction to Robust Estimation and Hypothesis Testing. Elsevier Academic Press, Third Edition.
  • Wilcox, R.R., Charlin, V., Thompson, K.L. (1986). New Monte Carlo Results on The Robustness of The ANOVA F, W and F* Statistics. Communications in Statistics: Simulations and Computations, 15, 933-944.  

BİR KONUM ÖLÇÜSÜ İLE k BAĞIMSIZ GRUBUN KARŞILAŞTIRILMASI İÇİN BİR TEST

Year 2013, Volume: 14 Issue: 3, 241 - 249, 04.05.2015

Fırat Özdemir , Engin Yıldıztepe

Abstract

Keywords

Budanmış ortalama Bootstrap-t Gerçekleşen anlam düzeyi k bağımsız grup

References

  • Bailey, B.J.R. (1980). Accurate Normalizing Transformations of Student’s t Variate. Applied Statistics, 29, 304-306.
  • Bradley, J.V. (1978). Robustness? British Journal of Mathematical and Statistical Psychology, 31, 144-152.
  • Hoaglin, D.C. (1985). Summerazing Shape Numerically: The g and h Distributions. In D. Hoaglin, F. Mosteller, & J. Tukey (Eds.), Exploring Data Tables, Trends, and Shapes. 461-513. New York: Wiley.
  • Özdemir A.F., Kurt S. (2007). Tek Yönlü Özel Seçimli Varyans Çözümlemesinde Farklı Varyanslılık Sorunu ve Bir Çözüm Önerisi. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi, 8 (1), 93-102.
  • Staudte, R.G., and Sheater, S.J. (1990). Robust Estimation and Testing. Newyork: Wiley.
  • Ted' Micceri's Web Site.
  • (http://www.freewebs.com/tedstats. Alıntı tarihi: 01.10.2012.)
  • Wilcox, R.R. (2012). Introduction to Robust Estimation and Hypothesis Testing. Elsevier Academic Press, Third Edition.
  • Wilcox, R.R., Charlin, V., Thompson, K.L. (1986). New Monte Carlo Results on The Robustness of The ANOVA F, W and F* Statistics. Communications in Statistics: Simulations and Computations, 15, 933-944.  
There are 9 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Fırat Özdemir

Engin Yıldıztepe

Publication Date May 4, 2015
Published in Issue Year 2013 Volume: 14 Issue: 3

Cite

APA Özdemir, F., & Yıldıztepe, E. (2015). A TEST FOR COMPARING k INDEPENDENT GROUPS WITH A MEASURE OF LOCATION. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering, 14(3), 241-249.
AMA Özdemir F, Yıldıztepe E. A TEST FOR COMPARING k INDEPENDENT GROUPS WITH A MEASURE OF LOCATION. AUJST-A. May 2015;14(3):241-249.
Chicago Özdemir, Fırat, and Engin Yıldıztepe. “A TEST FOR COMPARING K INDEPENDENT GROUPS WITH A MEASURE OF LOCATION”. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering 14, no. 3 (May 2015): 241-49.
EndNote Özdemir F, Yıldıztepe E (May 1, 2015) A TEST FOR COMPARING k INDEPENDENT GROUPS WITH A MEASURE OF LOCATION. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering 14 3 241–249.
IEEE F. Özdemir and E. Yıldıztepe, “A TEST FOR COMPARING k INDEPENDENT GROUPS WITH A MEASURE OF LOCATION”, AUJST-A, vol. 14, no. 3, pp. 241–249, 2015.
ISNAD Özdemir, Fırat - Yıldıztepe, Engin. “A TEST FOR COMPARING K INDEPENDENT GROUPS WITH A MEASURE OF LOCATION”. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering 14/3 (May 2015), 241-249.
JAMA Özdemir F, Yıldıztepe E. A TEST FOR COMPARING k INDEPENDENT GROUPS WITH A MEASURE OF LOCATION. AUJST-A. 2015;14:241–249.
MLA Özdemir, Fırat and Engin Yıldıztepe. “A TEST FOR COMPARING K INDEPENDENT GROUPS WITH A MEASURE OF LOCATION”. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering, vol. 14, no. 3, 2015, pp. 241-9.
Vancouver Özdemir F, Yıldıztepe E. A TEST FOR COMPARING k INDEPENDENT GROUPS WITH A MEASURE OF LOCATION. AUJST-A. 2015;14(3):241-9.
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