Simple confidence intervals for lognormal means and their differences with environmental applications

Environmetrics

Volumn 20, Issue 2, 2009, Pages 172-180

  Zou, G Y ^a,b   Huo, Cindy Yan ^c   Taleban, Julia ^a  

^a WESTERN UNIVERSITY   (Canada)

^b ROBARTS RESEARCH INSTITUTE   (Canada)

^c INSTITUTE FOR CLINICAL EVALUATIVE SCIENCES   (Canada)

Author keywords

Bootstrap; Coverage; Generalized confidence interval; Log normal

Indexed keywords

COMPUTER SIMULATION; CONFIDENCE INTERVAL; ENVIRONMENTAL ASSESSMENT; ENVIRONMENTAL MONITORING; STATISTICAL DISTRIBUTION;

EID: 65249084656     PISSN: 11804009     EISSN: 1099095X     Source Type: Journal    
DOI: 10.1002/env.919     Document Type: Article

References (19)

1. Aitchison J, Brown JAC. 1957. The Lognormal Distribution. Cambridge University Press: Cambrige.
2. Armstrong BG. 1992. Confidence intervals for arithmetic means of lognormally distributed exposures. American Industrial Hygiene Association Journal 53: 481-485.
3. Bradu D, Mundlak T. 1970. Estimation in lognormal linear models. Journal of the American Statistical Association 65: 198-211.
4. Crow EL, Shimizu K. 1988. Lognormal Distributions: Theory and Applications. Dekker: New York.
5. DiCiccio TJ, Efron B. 1996. Bootstrap confidence intervals. Statistical Science 11: 189-228.
6. Efron B. 2003. Second thoughts on the bootstrap. Statistical Science 18: 135-140.
7. El-Shaarawi AH, Lin J. 2007. Interval estimation for log-normal mean with applications to water quality. Environmetrics 18: 1-10.
8. El-Shaarawi AH, Viveros R. 1997. Inference about the mean in log-regression with environmental applications. Environmetrics 8: 569-582.
9. Jennings DE. 1987. How do we judge confidence-interval adequacy? The American Statistician 41: 335-337.
10. Krishnamoorthy K, Mathew T, Ramachandran G. 2006. Generalized P-values and confidence intervals: a novel approach for analyzing lognormally distributed exposure data. Journal of Occupational and Environmental Hygiene 3: 642-650.
11. Krishnamoorthy K, Mathew TP 2003. Inferences on the means of lognormal distributions using generalized p-values and generalized confidence intervals. Journal of Statistical Planning and Inference 115: 103-121.
12. Land CE. 1971. Confidence intervals for linear functions of the normal mean and variance. Annals of Mathematical Statistics 42: 1187-1205.
13. Land CE. 1972. An evaluation of approximate confidence interval estimation methods for lognormal means. Technometrics 14: 145-158.
14. Limpert E, Stahel WA, Abbt M. 2001. Log-normal distributions across the sciences: keys and clues. BioScience 51: 341-352.
15. Schenker N. 1985. Qualms about bootstrap confidence intervals. Journal of the American Statistical Association 80: 360-361.
16. Wild P, Hordan R, Leplay A, Vincent R. 1996. Confidence intervals for probabilities of exceeding threshold limits with censored log-normal data. Environmetrics 7: 247-259.
17. Zhou XH, Dinh P. 2005. Nonparametric confidence intervals for the one and two-sample problems. Biostatistics 6: 187-200.
18. Zou GY. 2007. Toward using confidence intervals to compare correlations. Psychological Methods 12: 399-413.
19. Zou GY, Donner A. 2008. Construction of confidence limits about effect measures: a general approach. Statistics in Medicine 27: http://dx.doi.org/10.1002/sim.3095