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Approximate test for testing a null variance ratio in the Unbalanced One-Way Random Model

Yıl 2020, Cilt: 69 Sayı: 1, 23 - 36, 30.06.2020
https://doi.org/10.31801/cfsuasmas.467319

Öz

The approximate test for testing the signicance of the random effect is presented in the unbalanced one-way random model in which both random effects and errors are from non-normal universes. The test is based on the asymptotic distribution of the F-statistic. Under the condition that the number of groups tends to infinity while the average of powers of the group sizes is bounded, the asymptotic distribution of the F-statistic is obtained. Robustness of the proposed test is given.

Kaynakça

  • Akritas, M and Arnold, S., Asymptotic for analysis of variance when the number of levels is large, J. Amer Statist Assoc. 95, (2000), 212-226.
  • Akritas, M.G. and Papdatos, N., Heteroscedastic one-way ANOVA and lack-of-fit tests, J. Amer Statist. Assoc., 99, (2004), 368-382.
  • Güven, B., Testing for random effect in the Fuller-Battese model, Statistics, 48, (2014), 802-814.
  • Rudin, W., Principles of Mathematical Analysis, New York, McGraw-Hill, 1976.
  • Searle, S. R., Linear Models for Unbalanced Data, New York, Wiley, 1988.
  • Scheffe, H., The Analysis of Variance, New York Wiley, 1959
  • Westfall, P., A comparison of variance component estimates for arbitrary underlying distributions, J. Amer. Statist. Assoc., 62, (1987), 866-874.
  • Westfall, P., Robustness and power of tests for a null variance ratio, Biometrika, 75; (1988), 207-214.
  • van der Vaart, A.W., Asymptotic statistics, New York, Cambridge 1998.
Yıl 2020, Cilt: 69 Sayı: 1, 23 - 36, 30.06.2020
https://doi.org/10.31801/cfsuasmas.467319

Öz

Kaynakça

  • Akritas, M and Arnold, S., Asymptotic for analysis of variance when the number of levels is large, J. Amer Statist Assoc. 95, (2000), 212-226.
  • Akritas, M.G. and Papdatos, N., Heteroscedastic one-way ANOVA and lack-of-fit tests, J. Amer Statist. Assoc., 99, (2004), 368-382.
  • Güven, B., Testing for random effect in the Fuller-Battese model, Statistics, 48, (2014), 802-814.
  • Rudin, W., Principles of Mathematical Analysis, New York, McGraw-Hill, 1976.
  • Searle, S. R., Linear Models for Unbalanced Data, New York, Wiley, 1988.
  • Scheffe, H., The Analysis of Variance, New York Wiley, 1959
  • Westfall, P., A comparison of variance component estimates for arbitrary underlying distributions, J. Amer. Statist. Assoc., 62, (1987), 866-874.
  • Westfall, P., Robustness and power of tests for a null variance ratio, Biometrika, 75; (1988), 207-214.
  • van der Vaart, A.W., Asymptotic statistics, New York, Cambridge 1998.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Research Article
Yazarlar

Sevgi Demircioğlu

Bilgehan Güven

Yayımlanma Tarihi 30 Haziran 2020
Gönderilme Tarihi 9 Ekim 2018
Kabul Tarihi 16 Temmuz 2019
Yayımlandığı Sayı Yıl 2020 Cilt: 69 Sayı: 1

Kaynak Göster

APA Demircioğlu, S., & Güven, B. (2020). Approximate test for testing a null variance ratio in the Unbalanced One-Way Random Model. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(1), 23-36. https://doi.org/10.31801/cfsuasmas.467319
AMA Demircioğlu S, Güven B. Approximate test for testing a null variance ratio in the Unbalanced One-Way Random Model. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Haziran 2020;69(1):23-36. doi:10.31801/cfsuasmas.467319
Chicago Demircioğlu, Sevgi, ve Bilgehan Güven. “Approximate Test for Testing a Null Variance Ratio in the Unbalanced One-Way Random Model”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69, sy. 1 (Haziran 2020): 23-36. https://doi.org/10.31801/cfsuasmas.467319.
EndNote Demircioğlu S, Güven B (01 Haziran 2020) Approximate test for testing a null variance ratio in the Unbalanced One-Way Random Model. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 1 23–36.
IEEE S. Demircioğlu ve B. Güven, “Approximate test for testing a null variance ratio in the Unbalanced One-Way Random Model”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 69, sy. 1, ss. 23–36, 2020, doi: 10.31801/cfsuasmas.467319.
ISNAD Demircioğlu, Sevgi - Güven, Bilgehan. “Approximate Test for Testing a Null Variance Ratio in the Unbalanced One-Way Random Model”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/1 (Haziran 2020), 23-36. https://doi.org/10.31801/cfsuasmas.467319.
JAMA Demircioğlu S, Güven B. Approximate test for testing a null variance ratio in the Unbalanced One-Way Random Model. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:23–36.
MLA Demircioğlu, Sevgi ve Bilgehan Güven. “Approximate Test for Testing a Null Variance Ratio in the Unbalanced One-Way Random Model”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 69, sy. 1, 2020, ss. 23-36, doi:10.31801/cfsuasmas.467319.
Vancouver Demircioğlu S, Güven B. Approximate test for testing a null variance ratio in the Unbalanced One-Way Random Model. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(1):23-36.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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