Comparison of software algorithms for calculating REML wald type confidence limits for the between-group variance component in a small sample one-way random effects model example

American Statistician

Volumn 64, Issue 1, 2010, Pages 83-87

  Lynn, Henry S ^a   Dong, Zhanjian ^b   Mu, Zhe ^a  

^a FUDAN UNIVERSITY   (China)

^b Biometrics Department   (China)

Author keywords

LME; MIXED; PROC MIXED; REML; Simulation; Variance component; XTMIXED

Indexed keywords

EID: 76649142403     PISSN: 00031305     EISSN: None     Source Type: Journal    
DOI: 10.1198/tast.2009.08140     Document Type: Article

References (16)

1. Burdick, R., Borror, C., and Montgomery, D. (2005), Design and Analysis of Gauge R&R Studies: Making Decisions With Confidence Intervals in Random and Mixed ANOVA Models. ASA-SIAM Series on Statistics and Applied Probability, Alexandria, VA: ASA. [86]
2. Burdick, R. K., Quiroz, J., and Iyer, H. K. (2006), "The Present Status of Confidence Interval Estimation for One-Factor Random Models," Journal of Statistical Planning and Inference, 136, 4307-4325. [85]
3. Hartung, J., and Knapp, G. (2000), "Confidence Intervals for the Between Group Variance in the Unbalanced One-Way Random Effects Model," Journal of Statistical Computation and Simulation, 65, 311-323. [85]
4. Lee, J., and Khuri, A. I. (2002), "Comparison of Confidence Intervals on the Among-Group Variance Component for the Unbalanced One-Way Random Model," Communications in Statistics-Simulation and Computation, 31, 35-47. [85]
5. Li, X., and Li, G. (2005), "Confidence Intervals on Sum of Variance Components With Unbalanced Designs," Communications in Statistics-Theory and Methods, 34, 833-845. [86]
6. - (2007), "Comparison of Confidence Intervals on the Among Group Variance in the Unbalanced Variance Component Model," Journal of Statistical Computation and Simulation, 77, 477-486. [85,86]
7. Littell, R. C., Milliken, G. A., Stroup, W. A., Wolfinger, R. D., and Schabenberger, O. (2006), SAS® System for Mixed Models (2nd ed.), Cary, NC: SAS Institute Inc. [83]
8. Park, D. J., and Burdick, R. K. (2003), "Performance of Confidence Intervals in Regression Models With Unbalanced One-Fold Nested Error Structures," Communications in Statistics-Simulation and Computation, 32, 717-732. [86]
9. Pinheiro, J. C., and Bates, D. M. (2000), Mixed-Effects Models in S and Splus, New York: Springer-Verlag. [84]
10. SAS Institute Inc. (2004), SAS/STAT® 9.1 User's Guide, Cary, NC: SAS Institute Inc. [84]
11. Satterthwaite, F. E. (1941), "Synthesis of Variance," Psychometrika, 6, 309-316. [83]
12. SPSS Inc. (2007), SPSS® 16.0 Algorithms, Chicago, IL: SPSS Inc. [84]
13. StataCorp. (2007), Stata Longitudinal/Panel Data Reference Manual, Release 10, College Station, TX: Stata Press. [84]
14. Thomas, J. D., and Hultquist, R. A. (1978), "Interval Estimation for the Unbalanced Case of the One-Way Random Effects Model," The Annals of Statistics, 6, 582-587. [84,86]
15. Tukey, J. W. (1951), "Components in Regression," Biometrics, 7, 33-69. [83]
16. Williams, J. S. (1962), "A Confidence Interval for Variance Components," Biometrika, 49, 278-281. [83]