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Dergiler / Gazi University Journal of Science / 2017 / Cilt: 30 - Sayı: 3

Standardized Likelihood Ratio Test for Homogeneity of Variance Based on Likelihood Ratio Under Normality

Esra Gökpınar
Sayfa
223–235
Yayın Tarihi
2017-09-20
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

According to numeric results, the proposed method performs quite well according to its alternatives.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this article, standardized likelihood ratio test is proposed for the homogeneity of variances under normality.
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Temel Bulgular & Veri:The proposed method is compared with some of the existing methods via Monte Carlo simulation for various parameter combinations, different group sizes and sample sizes in terms of type I error rate and power of test.
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Sonuç & Katkı:According to numeric results, the proposed method performs quite well according to its alternatives.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Standardized likelihood ratio test · Homogeneity of variances · Type I error

Abstract

In this article, standardized likelihood ratio test is proposed for the homogeneity of variances under normality. The proposed method is compared with some of the existing methods via Monte Carlo simulation for various parameter combinations, different group sizes and sample sizes in terms of type I error rate and power of test. According to numeric results, the proposed method performs quite well according to its alternatives.

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Bu Makaleye Atıf Yap

Gökpınar, E. (2017). Standardized Likelihood Ratio Test for Homogeneity of Variance Based on Likelihood Ratio Under Normality. Gazi University Journal of Science, Cilt: 30 - Sayı: 3, 223–235. https://ajindex.com/articles/254670

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Kaynakça (15)

  1. Bartlett, M.S., “Properties of sufficiency and statistical tests”, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 160(901):268-282, (1937)
  2. Bhandary, M., and Dai, H., “An alternative test for the equality of variances for several populations when the underlying distributions are normal”, Communications in Statistics-Simulation and Computation, 38(1):109-117, (2009)
  3. Boos, D.D. and Brownie, C., “Comparing variances and other measures of dispersion”, Statistical Science, 19(4):571-578, (2004)
  4. Box, G.E. and Andersen, S.L., “Permutation theory in the derivation of robust criteria and the study of departures from assumption”, Journal of the Royal Statistical Society. Series B (Methodological), 17(1):1-34, (1955)
  5. Brown, M.B. and Forsythe, A.B., “Robust tests for the equality of variances”, Journal of the American Statistical Association, 69(346):364-367, (1974)
  6. Cahoy, D.O., “A bootstrap test for equality of variances”, Computational Statistics & Data Analysis, 54(10):2306-2316, (2010)
  7. Chang, C.H., Lin, J.J. and Pal, N. “Testing the equality of several gamma means: a parametric bootstrap method with applications”, Computational Statistics, 26(1), 55-76, (2011)
  8. Chang, C.H. and Pal, N., “A revisit to the Behrens–Fisher problem: comparison of five test methods”, Communications in Statistics—Simulation and Computation, 37(6), 1064-1085, (2008)
  9. Chang, C.H., Pal, N. and Lin, J.J., “A note on comparing several poisson means”, Communications in Statistics-Simulation and Computation, 39(8):1605-1627, (2010)
  10. Chang, C.H., Pal, N. and Lin, J-J., “A Revisit to Test the Equality of Variances of Several Populations”, Communications in Statistics-Simulation and Computation (in press), 2016
  11. Cochran, W.G., “Testing a linear relation among variances”, Biometrics,7(1):17-32, (1951)
  12. Conover, W. J., Johnson, M. E. and Johnson, M.M., “A comparative study of tests for homogeneity of variances, with applications to the outer continental shelf bidding data”, Technometrics, 23(4), 351-361, (1981)
  13. Davison, A.C. and Hinkley, D.V. Bootstrap methods and their application (Vol. 1). Cambridge university press, New York, (1997)
  14. Gökpınar, E. and Gökpınar, F. “A test based on computational approach for equality of means under unequal variance assumption”, Hacettepe Journal of Mathematics and Statistics, 41(4):605-613, (2012)
  15. Gökpınar, E., Polat, E., Gokpinar, F. and Gunay S., “A