Exact sample size determination in a weibull test plan when there is time censoring

Journal of Statistical Computation and Simulation

Volumn 73, Issue 6, 2003, Pages 389-408

  Jeng, Shuen Lin ^a  

^a TUNGHAI UNIVERSITY   (Taiwan)

Author keywords

Confidence interval; One sided confidence bound; Size factor; Type I censoring; Variance factor; Weibull distribution

Indexed keywords

EID: 0038583775     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/0094965021000040604     Document Type: Article

References (27)

1. Armstrong, B. G. (1992). Confidence intervals for arithmetic means of lognormally distributed exposures. American Industrial Hygiene Association Journal, 53, 481-485.
2. Adcock, C. J. (1997). Sample size determination: A Review. The Statistician, 46(2), 261-283.
3. Beal, S. L. (1989). Sample size determination for confidence intervals on the population mean and on the difference between two population means. Biometrics, 45, 969-977.
4. Danziger, L. (1970). Planning censored life tests for estimation of the hazard rate of a Weibull distribution with prescribed precision. Technometrics, 12(2), 408-412.
5. David, H. A. (1981). Order Statistics, 2d ed. John Wiley & Sons, New York.
6. Epstein, B. (1961), Estimates of bounded relative error for the mean life of an exponential distribution. Technometrics, 3(1), 107-109.
7. Escobar, L. A. and Meeker, W. Q. (1995). Fisher information matrix for the extreme value, normal and logistics distributions and censored data. Applied Statistics, 43, 533-540.
8. Hahn, G. J. and Meeker, W. Q. (1991). Statistical Intervals: A Guide for Practitioners, John Wiley & Sons, New York.
9. Hewett, P. (1995). Sample size formulae for estimating the true mean or geometric mean of lognormal exposure distributions. American Industrial Hygiene Association Journal, 56, 219-225.
10. Krewski, D. and Junkins, B. (1981). Sample size determination for the interval estimation of the mean or median of a distribution. Journal of Statistical Computation and Simulation, 13, 169-179.
11. Joseph, L., Berger, R. D. and Belisle, P. (1997). Bayesian and mixed Bayesian/likelihood criteria for sample size determination. Statistics in Medicine, 16, 769-781.
12. Lachin, J. M. (1981). Introduction to sample size determination and power analysis for clinical trials. Controlled Clinical Trials, 2, 93-113.
13. Land, C. E. (1973). Standard confidence limits for linear functions of the normal mean and variance. Journal of the American Statistical Association, 68, 960-963.
14. Land, C. E. (1974). Tables of confidence limits for linear functions of the normal mean and variance. In: Harter, H. L. and Province, R. I. (Eds.), Selected Tables in Mathematical Statistics, Vol. III, American Mathematical Society, Washington DC, pp. 385-419.
15. Land, C. E. (1975). Confidence interval estimation for means after data transformation to normality. Journal of the American Statistical Association, 69, 795-802.
16. Land, C. E. (1988). Hypothesis tests and interval estimates. In: Crow, E. L. and Shimizu, K. (Eds.), Lognormal Distributions, Theory and Applications. Marcel Decker Inc., New York.
17. Lawless, J. F. (1982). Statistical Models and Methods for Lifetime Data. John Wiley & Sons, New York.
18. Liu, W. (1997). On some sample size formulae for controlling both size and power in clinical trial, The Statistician, 46(2), 239-251.
19. McHugh, R. B. (1961). Confidence interval inference and sample size determination. The American Statistician, April, 14-17.
20. Meeker, W. Q., and Escobar, L. A. (1998). Statistical Methods for Reliability Data. John Wiley & Sons, New York.
21. Meeker, W. Q., Escobar, L. A. and Hill, D. A. (1992). Sample sizes for estimating the Weibull hazard function from censored samples. IEEE Transactions on Reliability, 41(1),133-138.
22. Meeker, W. Q. and Nelson, W. (1976). Weibull percentile estimates and confidence limits by singly censored data by maximum likelihood. IEEE Transactions on Reliability, R-25, 20-24.
23. Meeker, W. Q. and Nelson, W. (1977). Weibull variance and confidence limits by maximum likelihood for singly censored data. Technometrics, 19, 473-476.
24. Nelson, W. (1982). Applied Life Data Analysis. John Wiley & Sons, New York.
25. Peretz, A. and Lafante, J. J. (1997). Sample size determination and the effect of censoring when estimating the arithmetic mean of a lognormal distribution. Communication in Statistics-Theory & Method, 26(11), 2779-2801.
26. Rahme, E. and Joseph, E. (1998). Exact sample size determination for binomial experiments, Journal of Statistical Planning and Inference, 66, 83-93.
27. Wu, M. C. (1988). Sample size for comparison of changes in the presence of right censoring caused by death, withdrawal, and staggered entry. Controlled Clinical Trials, 9, 32-46.