Tolerance intervals in a two-way nested model with mixed or random effects

Statistics

Volumn 41, Issue 4, 2007, Pages 289-300

  Fonseca, Miguel ^a   Mathew, Thomas ^b   Mexia, João Tiago ^a   Zmyślony, Roman ^c  

^a UNIVERSIDADE NOVA DE LISBOA   (Portugal)

^b UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

^c UNIVERSITY OF ZIELONA GÓRA   (Poland)

Author keywords

Confidence level; Content; Generalized confidence interval; Generalized pivot statistic; One sided tolerance interval

Indexed keywords

EID: 34547746838     PISSN: 02331888     EISSN: 10294910     Source Type: Journal    
DOI: 10.1080/02331880701270648     Document Type: Article

References (11)

1. Krishnamoorthy, K. and Mathew, T., 2004, Generalized confidence limits and one-sided tolerance limits in balanced and unbalanced one-way random, models. Technometrics, 46, 44-52.
2. Bagui, S.C., Bhaumik, D.K. and Parnes, M., 1996, One-sided tolerance limits for unbalanced m-way random-effects ANOVA models. Journal of Applied Statistical Science, 3, 135-147.
3. Liao, CT. and Iyer, H.K., 2004, A tolerance interval for the normal distribution with several variance components. Statistica Sinica, 14, 217-229.
4. Liao, CT., Lin, T.Y. and Iyer, H.K., 2004, One- and two-sided tolerance intervals for general balanced mixed models and unbalanced one-way random models. Technometrics, 47, 323-335.
5. Weerahandi, S., 1993, Generalized confidence intervals. Journal of the American Statistical Association, 88, 899-905.
6. Weerahandi, S., 1995, Exact Statistical Methods for Data Analysis(New York: Springer-Verlag).
7. Wang, CM. and Iyer, H.K., 1994, Tolerance intervals for the distribution of true values in the presence of measurement errors. Technometrics, 36, 162-170.
8. Burdick, R. and Graybill, R.A., 1992, Confidence Intervals on Variance Components(New York: Marcel Dekker).
9. 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.
10. Wald, A. and Wolfowitz, J., 1946, Tolerance limits for a normal distribution. The Annals of Mathematical Statistics, 17, 208-215.
11. Sahai, H. and Ageel, M.I., 2000, The Analysis of Variance: Fixed, Random and Mixed Models(Boston: Birkhauser).