140
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

A new generalized confidence interval for the among-group variance in the heteroscedastic one-way random effects model

, &
Pages 2299-3110 | Received 11 Feb 2015, Accepted 09 Apr 2015, Published online: 24 Nov 2016

References

  • Arendacká, B. (2012). Approximate interval for the between-group variance under heteroscedasticity. Journal of Statistical Computation and Simulation 82:209–218.
  • Hannig, J. (2009). On generalized fiducial intervals. Statistica Sinica 19:491–544.
  • Hannig, J., Iyer, H. K., Patterson, P. (2006). Fiducial generalized confidence intervals. Journal of the American Statistical Association 101:254–269.
  • Hartung, J., Knapp, G. (2005). On confidence intervals for the among-group variance in the one-way random effects model with unequal error variances. Journal of Statistical Planning and Inference 127:157–177.
  • Li, X. (2007). Comparison of confidence intervals on between group variance in unbalanced heteroscedastic one-way random models. Communications in Statistics: Simulation and Computation 36:381–390.
  • Li, X., Li, G. (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.
  • Li, X., Li, G., Xu, X. (2007). Fiducial intervals of restricted parameters and their applications. Sciences in China (Series A: Mathematics) 48:1567–1583.
  • Liu, X., Xu, X. (2010). A new generalized p-value approach for testing homogeneity of variances. Statistics & Probability Letters 80:1486–1491.
  • Roy, A., Bose, A. (2009). Coverage of generalized confidence intervals. Journal of Multivariate Analysis 100:1384–1397.
  • Searle, S. R. (1971). Linear Models. New York: John Wiley & Sons.
  • Thomas, J. D., Hultquist, R. A. (1978). Interval estimation for the unbalanced case of the one-way random effects model. Annals of Statistics 6:582–587.
  • Tsui, K. W., Weerahandi, S. (1989). Generalized p-values insignificance testing of hypotheses in the presence of nuisance parameters. Journal of the American Statistical Association 84:602–607.
  • Weerahandi, S. (1993). Generalized confidence intervals. Journal of the American Statistical Association 88:899–905.
  • Weerahandi, S. (1995). ANOVA under unequal error variances. Biometrics 51:589–599.
  • Weerahandi, S. (2004). Generalized Inference in Repeated Measures. New York: Springer-Verlag.
  • Wimmer, G., Witkovský, V. (2003). Between group variance component interval estimation for the unbalanced heteroscedastic one-way random effects model. Journal of Statistical Computation and Simulation 73:333–346.
  • Xu, X., Li, G. (2006). Fiducial inference in the pivotal family of distributions. Science in China (Series A: Mathematics) 49:410–432.
  • Zhou, L., Mathew, T. (1994). Some tests for variance components using generalized p-values. Technometrics 36:394–402.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.