TESTING THE EQUALITY OF THE CORRELATION MATRICES WITH THE PERMUTATION TEST

Cilt: 1 Sayı: 1 29 Temmuz 2011
Ufuk Ekiz , Meltem Ekiz
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TESTING THE EQUALITY OF THE CORRELATION MATRICES WITH THE PERMUTATION TEST

Öz

In this study, the emprical rejection levels of the Shipley's test based on permutations are calculated by using the Monte Carlo procedure in order to test the hypothesis of the equality of correlation matrices of different populations, involving p variables. These values are obtained for normal and mixtures of normal distributed three population and are investigated when the expected rejection level is 0.05, 0.10 and 0.20 and the sample size differs from 3 to 10. In respect of the simulation results, the emprical rejection levels of the normal data seems to be very close to the expected rejection levels.
Separately, since all the results are smaller than a in case of mixtures of normal data, the test statistic appears to be robust for non-normal (mixtures of normal) data too.

Anahtar Kelimeler

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Kaynakça

  1. Krzanowski, W.J. (1993). Permutational tests for correlation matrices. Statistics and Computing 3, 37- 44.
  2. Manly, B.F., Rayner, J.C.W. (1987). The comparison of sample covariance matrices using likelihood ratio tests. Biometrika 74, 841-847.
  3. Riska, B. (1985). Group size factors and geographic variation of morphometric correlation. Ecology 39, 792-803.
  4. Sakaori, F. (2002). Permutation test for equality of correlation coefficients in two populations. Commun. Statist.- Simula. 31(4), 641-651.
  5. Shipley, B. (2000). A Permutation procedure for testing the equality of pattern hypotheses across groups involving correlation or covariance matrices. Statistics and Compu- ting 10, 253-257.
  6. Smith, H., Gnanadesikan, R., Hughes, J.B. (1962). Multivariate analysis of variance (MANOVA). Biometrics. 18(1), 22-41.

Kaynak Göster

APA
Ekiz, U., & Ekiz, M. (2011). TESTING THE EQUALITY OF THE CORRELATION MATRICES WITH THE PERMUTATION TEST. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler, 1(1), 43-48. https://izlik.org/JA96CY69CZ
AMA
1.Ekiz U, Ekiz M. TESTING THE EQUALITY OF THE CORRELATION MATRICES WITH THE PERMUTATION TEST. AUBTD-B. 2011;1(1):43-48. https://izlik.org/JA96CY69CZ
Chicago
Ekiz, Ufuk, ve Meltem Ekiz. 2011. “TESTING THE EQUALITY OF THE CORRELATION MATRICES WITH THE PERMUTATION TEST”. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler 1 (1): 43-48. https://izlik.org/JA96CY69CZ.
EndNote
Ekiz U, Ekiz M (01 Temmuz 2011) TESTING THE EQUALITY OF THE CORRELATION MATRICES WITH THE PERMUTATION TEST. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler 1 1 43–48.
IEEE
[1]U. Ekiz ve M. Ekiz, “TESTING THE EQUALITY OF THE CORRELATION MATRICES WITH THE PERMUTATION TEST”, AUBTD-B, c. 1, sy 1, ss. 43–48, Tem. 2011, [çevrimiçi]. Erişim adresi: https://izlik.org/JA96CY69CZ
ISNAD
Ekiz, Ufuk - Ekiz, Meltem. “TESTING THE EQUALITY OF THE CORRELATION MATRICES WITH THE PERMUTATION TEST”. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler 1/1 (01 Temmuz 2011): 43-48. https://izlik.org/JA96CY69CZ.
JAMA
1.Ekiz U, Ekiz M. TESTING THE EQUALITY OF THE CORRELATION MATRICES WITH THE PERMUTATION TEST. AUBTD-B. 2011;1:43–48.
MLA
Ekiz, Ufuk, ve Meltem Ekiz. “TESTING THE EQUALITY OF THE CORRELATION MATRICES WITH THE PERMUTATION TEST”. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler, c. 1, sy 1, Temmuz 2011, ss. 43-48, https://izlik.org/JA96CY69CZ.
Vancouver
1.Ufuk Ekiz, Meltem Ekiz. TESTING THE EQUALITY OF THE CORRELATION MATRICES WITH THE PERMUTATION TEST. AUBTD-B [Internet]. 01 Temmuz 2011;1(1):43-8. Erişim adresi: https://izlik.org/JA96CY69CZ