BibTex RIS Kaynak Göster

Permutation Test Approach for Ordered Alternatives in Randomized Complete Block Design: A Comparative Study

Yıl 2014, Cilt: 27 Sayı: 1, 645 - 651, 28.03.2014

Öz

Randomized complete block design is one of the most used experimental designs in statistical analysis. For testing ordered alternatives in randomized complete block design, parametric tests are used if random sample are drawn from Normal distribution. If normality assumption is not provide, nonparametric methods are used. In this study, we are interested nonparametric tests and we introduce briefly the nonparametric tests, such as Page, Modified Page and Hollander tests. We also give Permutation Version of Page test. We compare the performance of these tests in terms of the empirical type I error rates and powers of tests.

Key words: Permutation test, Page test, Hollander test, Modified Page test, Simulation study

Kaynakça

  • Jonckheree G.R., “A distribution-free k-sample test against ordered alternatives”, Biometrika, 41, 133-145 (1954).
  • Terpstra, T.J., “The asymptotic normality and consistency of Kendall’s test against trend”, when ties are present in one ranking, Indagationes Mathematicae, 14, 327-333 (1952).
  • Page, E.B., “Ordered hypotheses for multiple treatments: a significance tests for linear ranks”, Journal of the American Statistical Association, 58, 216-230 (1963).
  • Hollander, M., “Rank tests for randomized blocks when the alternatives have a priori ordering”, Annals of Mathematical Statistics, 38, 867-877 (1967).
  • Skillings, J.H., Wolfe, D.A., “Distribution-free tests for ordered alternatives in a randomized block design”, Journal of the American Statistical Association, 73, 427-431 (1978).
  • Alvo, M., Cabilio, P., “Testing ordered alternatives in the presence of incomplete data”, Journal of the American Statistical Association, 90, 1015-1024 (1995).
  • Gökpınar, E.Y., Gökpınar, F., Bayrak, H., “Permutation approach for adjusted Durbin rank test used in balanced incomplete block designs for tied data”, Iranian Journal of Science & Technology, A3, 305-310 (2012).
  • Bi, J., “Computer-intensive methods for sensory data analysis, exemplified by Durbin’s rank test”, Food Quality and Preference, 20(3): 195-202 (2009).
  • Best, D.J., Brockhoff, P.B., Rayner, J.C.W., “Tests for balanced incomplete block ranked data with ties”, Statistica Nerlandica, 60(1): 3-11 (2006).
  • Hollander, M., Wolfe, D.A., “Nonparametric Statistical Methods”, 2nd ed., Wiley (1999).

A Comparative Study

Yıl 2014, Cilt: 27 Sayı: 1, 645 - 651, 28.03.2014

Öz

Kaynakça

  • Jonckheree G.R., “A distribution-free k-sample test against ordered alternatives”, Biometrika, 41, 133-145 (1954).
  • Terpstra, T.J., “The asymptotic normality and consistency of Kendall’s test against trend”, when ties are present in one ranking, Indagationes Mathematicae, 14, 327-333 (1952).
  • Page, E.B., “Ordered hypotheses for multiple treatments: a significance tests for linear ranks”, Journal of the American Statistical Association, 58, 216-230 (1963).
  • Hollander, M., “Rank tests for randomized blocks when the alternatives have a priori ordering”, Annals of Mathematical Statistics, 38, 867-877 (1967).
  • Skillings, J.H., Wolfe, D.A., “Distribution-free tests for ordered alternatives in a randomized block design”, Journal of the American Statistical Association, 73, 427-431 (1978).
  • Alvo, M., Cabilio, P., “Testing ordered alternatives in the presence of incomplete data”, Journal of the American Statistical Association, 90, 1015-1024 (1995).
  • Gökpınar, E.Y., Gökpınar, F., Bayrak, H., “Permutation approach for adjusted Durbin rank test used in balanced incomplete block designs for tied data”, Iranian Journal of Science & Technology, A3, 305-310 (2012).
  • Bi, J., “Computer-intensive methods for sensory data analysis, exemplified by Durbin’s rank test”, Food Quality and Preference, 20(3): 195-202 (2009).
  • Best, D.J., Brockhoff, P.B., Rayner, J.C.W., “Tests for balanced incomplete block ranked data with ties”, Statistica Nerlandica, 60(1): 3-11 (2006).
  • Hollander, M., Wolfe, D.A., “Nonparametric Statistical Methods”, 2nd ed., Wiley (1999).
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Statistics
Yazarlar

Esra Gokpınar

Hasan Gul

Fikri Gokpınar

Hülya Bayrak

Deniz Ozonur

Yayımlanma Tarihi 28 Mart 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 27 Sayı: 1

Kaynak Göster

APA Gokpınar, E., Gul, H., Gokpınar, F., Bayrak, H., vd. (2014). Permutation Test Approach for Ordered Alternatives in Randomized Complete Block Design: A Comparative Study. Gazi University Journal of Science, 27(1), 645-651.
AMA Gokpınar E, Gul H, Gokpınar F, Bayrak H, Ozonur D. Permutation Test Approach for Ordered Alternatives in Randomized Complete Block Design: A Comparative Study. Gazi University Journal of Science. Mart 2014;27(1):645-651.
Chicago Gokpınar, Esra, Hasan Gul, Fikri Gokpınar, Hülya Bayrak, ve Deniz Ozonur. “Permutation Test Approach for Ordered Alternatives in Randomized Complete Block Design: A Comparative Study”. Gazi University Journal of Science 27, sy. 1 (Mart 2014): 645-51.
EndNote Gokpınar E, Gul H, Gokpınar F, Bayrak H, Ozonur D (01 Mart 2014) Permutation Test Approach for Ordered Alternatives in Randomized Complete Block Design: A Comparative Study. Gazi University Journal of Science 27 1 645–651.
IEEE E. Gokpınar, H. Gul, F. Gokpınar, H. Bayrak, ve D. Ozonur, “Permutation Test Approach for Ordered Alternatives in Randomized Complete Block Design: A Comparative Study”, Gazi University Journal of Science, c. 27, sy. 1, ss. 645–651, 2014.
ISNAD Gokpınar, Esra vd. “Permutation Test Approach for Ordered Alternatives in Randomized Complete Block Design: A Comparative Study”. Gazi University Journal of Science 27/1 (Mart 2014), 645-651.
JAMA Gokpınar E, Gul H, Gokpınar F, Bayrak H, Ozonur D. Permutation Test Approach for Ordered Alternatives in Randomized Complete Block Design: A Comparative Study. Gazi University Journal of Science. 2014;27:645–651.
MLA Gokpınar, Esra vd. “Permutation Test Approach for Ordered Alternatives in Randomized Complete Block Design: A Comparative Study”. Gazi University Journal of Science, c. 27, sy. 1, 2014, ss. 645-51.
Vancouver Gokpınar E, Gul H, Gokpınar F, Bayrak H, Ozonur D. Permutation Test Approach for Ordered Alternatives in Randomized Complete Block Design: A Comparative Study. Gazi University Journal of Science. 2014;27(1):645-51.