A Comparison of Confidence Interval Methods of Fixed Effect in Nested Error Regression Model

Cilt: 20 Sayı: 2 26 Temmuz 2016
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A Comparison of Confidence Interval Methods of Fixed Effect in Nested Error Regression Model

Öz

Linear mixed-effects models are very popular and powerful tools in many scientific fields such as zoology, biology, and education.  Estimators of fixed effects do not only depend on the variances of error terms but they also depend on random terms in mixed-effect models. When the distributions of random effects are unknown or enough sample size cannot be obtained, standard methods may fail. This study aims to determine a promising confidence interval method among existing methods in terms of coverage probability of true value of parameter. Standard and parametric bootstrap-based confidence interval methods for nested error regression model were compared in the simulation study under small samples. It is observed that parametric bootstrap-based method provides better coverage rates for small intra-correlation and profile likelihood method usually provides better results for moderate and strong correlation.


Anahtar Kelimeler

Kaynakça

  1. [1] Demidenko, E. 2004. Mixed Models: Theory and Applications. Wiley, 726p.
  2. [2] Eisenhart, C. 1947. The Assumptions Underlying the Analysis of Variance. Biometrics, 3(1), 1-21.
  3. [3] Patterson, H.D., Thompson, R. 1971. Recovery of Inter-block Information When Block Sizes are Unequal. Biometrika, 58(3), 545-554.
  4. [4] Searle, S.R., Casella, G., McCulloch, C.E., 2009. Variance Components (Vol. 391). John Wiley & Sons, 509p.
  5. [5] Kackar, R. N., Harville, D. A. 1984. Approximations for Standard Errors of Estimators of Fixed and Random Effects in Mixed Linear Models. Journal of the American Statistical Association, 79(388), 853-862.
  6. [6] Kenward, M. G. Roger, J. H. 1997. Small Sample Inference for Fixed Effects From Restricted Maximum Likelihood. Biometrics, 1997, 983-997.
  7. [7] Harville, D. A., Fenech, A. P. 1985. Confidence Intervals for a Variance Ratio, or for Heritability, in an Unbalanced Mixed Linear Model. Biometrics, 1985, 137-152.
  8. [8] Savin, A., 2005. Confidence Intervals for Common Mean in One-way Classification Model with Fixed Effects. Measurement, 2005, 15-19.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

-

Yayımlanma Tarihi

26 Temmuz 2016

Gönderilme Tarihi

15 Şubat 2016

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2016 Cilt: 20 Sayı: 2

Kaynak Göster

APA
Akdur, H. T. K., Özonur, D., & Bayrak, H. (2016). A Comparison of Confidence Interval Methods of Fixed Effect in Nested Error Regression Model. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 20(2). https://doi.org/10.19113/sdufbed.05095
AMA
1.Akdur HTK, Özonur D, Bayrak H. A Comparison of Confidence Interval Methods of Fixed Effect in Nested Error Regression Model. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2016;20(2). doi:10.19113/sdufbed.05095
Chicago
Akdur, Hatice Tül Kübra, Deniz Özonur, ve Hülya Bayrak. 2016. “A Comparison of Confidence Interval Methods of Fixed Effect in Nested Error Regression Model”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 (2). https://doi.org/10.19113/sdufbed.05095.
EndNote
Akdur HTK, Özonur D, Bayrak H (01 Ağustos 2016) A Comparison of Confidence Interval Methods of Fixed Effect in Nested Error Regression Model. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20 2
IEEE
[1]H. T. K. Akdur, D. Özonur, ve H. Bayrak, “A Comparison of Confidence Interval Methods of Fixed Effect in Nested Error Regression Model”, Süleyman Demirel Üniv. Fen Bilim. Enst. Derg., c. 20, sy 2, Ağu. 2016, doi: 10.19113/sdufbed.05095.
ISNAD
Akdur, Hatice Tül Kübra - Özonur, Deniz - Bayrak, Hülya. “A Comparison of Confidence Interval Methods of Fixed Effect in Nested Error Regression Model”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20/2 (01 Ağustos 2016). https://doi.org/10.19113/sdufbed.05095.
JAMA
1.Akdur HTK, Özonur D, Bayrak H. A Comparison of Confidence Interval Methods of Fixed Effect in Nested Error Regression Model. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2016;20. doi:10.19113/sdufbed.05095.
MLA
Akdur, Hatice Tül Kübra, vd. “A Comparison of Confidence Interval Methods of Fixed Effect in Nested Error Regression Model”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 20, sy 2, Ağustos 2016, doi:10.19113/sdufbed.05095.
Vancouver
1.Hatice Tül Kübra Akdur, Deniz Özonur, Hülya Bayrak. A Comparison of Confidence Interval Methods of Fixed Effect in Nested Error Regression Model. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 01 Ağustos 2016;20(2). doi:10.19113/sdufbed.05095

Cited By

e-ISSN :1308-6529
Linking ISSN (ISSN-L): 1300-7688

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