Comparing the means and variances of a bivariate log-normal distribution

Statistics in Medicine

Volumn 27, Issue 14, 2008, Pages 2684-2696

  Bebu, Ionut ^a   Mathew, Thomas ^b  

^a GEORGETOWN UNIVERSITY   (United States)

^b UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

Author keywords

Generalized confidence interval; Generalized pivotal quantity; Modified signed log likelihood ratio; Paired designs; Quantitative assay

Indexed keywords

CYCLOSPORIN;

ANALYSIS OF VARIANCE; ARTICLE; BIVARIATE ANALYSIS; COMPARATIVE STUDY; CONFIDENCE INTERVAL; DRUG BLOOD LEVEL; HEALTH CARE COST; HIGH PERFORMANCE LIQUID CHROMATOGRAPHY; HUMAN; MEDICAID; MONTE CARLO METHOD; PROBABILITY; QUANTITATIVE ANALYSIS; RADIOIMMUNOASSAY; SAMPLE SIZE; STATISTICAL DISTRIBUTION;

CONFIDENCE INTERVALS; LIKELIHOOD FUNCTIONS; LINEAR MODELS;

EID: 47249099069     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.3080     Document Type: Article

References (26)

1. Zhou X-H, Gao S. Confidence intervals for the log-normal mean. Statistics in Medicine 1997; 16:783-790.
2. Zhou X-H, Gao SJ, Hui SL. Methods for comparing means of two independent log-normal samples. Biometrics 1997; 53:1129-1135.
3. Taylor DJ, Kupper LL, Muller KE. Improved approximate confidence intervals for the mean of a log-normal random variable. Statistics in Medicine 2002; 21:1443-1459.
4. Wu J, Jiang G, Wong ACM, Sun X. Likelihood analysis for the ratio of means of two independent log-normal distributions. Biometrics 2002; 58:463-469.
5. Krishnamoorthy K, Mathew T. Inferences on the means of log-normal distributions using generalized p-values and generalized confidence intervals. Journal of Statistical Planning and Inference 2003; 115:103-121.
6. Wu J, Wong ACM, Jiang G. Likelihood based confidence intervals for a log-normal mean. Statistics in Medicine 2003; 22:1849-1860.
7. Gill PS. Small sample inference for the comparison of means of log-normal distributions. Biometrics 2004; 60:525-527.
8. Chen Y-H, Zhou X-H. Interval estimates for the ratio and difference of two log-normal means. Statistics in Medicine 2006; 25:4099-4113.
9. Gupta RC, Li X. Statistical inference for the common mean of two log-normal distributions and some applications in reliability. Computational Statistics and Data Analysis 2006; 50:3141-3164.
10. Schneider T, Holst E. Man-made mineral fiber size distributions utilizing unbiased and fiber length biased counting methods and the bivariate log-normal distribution. Journal of Aerosol Science 1983; 14:139-146.
11. Cheng YS. Bivariate log-normal distribution for characterizing asbestos fiber aerosols. Aerosol Science and Technology 1986; 5:359-368.
12. Ramachandran G, Werner M, Vincent JH. On the assessment of particle size distributions in worker's aerosol exposures. The Analyst 1996; 121:1225-1232.
13. Baron PA. Measurement of airborne fibers: a review. Industrial Health 2001; 39:39-50.
14. Ross KS, Carter HB, Pearson JD, Guess HA. Comparative efficiency of prostate-specific antigen screening strategies for prostate cancer detection. Journal of the American Medical Association 2000; 284:1399-1405.
15. Zhou XH, Li C, Gao S, Tierney WM. Methods for testing equality of means of health care costs in a paired design study. Statistics in Medicine 2001; 20:1703-1720.
16. Hawkins DM. Diagnostics for conformity of paired quantitative measurements. Statistics in Medicine 2002; 21:1913-1935.
17. Krishnamoorthy K, Mathew T. Statistical methods for establishing equivalency of a sampling device to the OSHA standard. American Industrial Hygiene Association Journal 2002; 63:567-571.
18. Hughes SJ, Xi L, Raja S, Gooding W, Cole DJ, Gillanders WE, Mikhitarian K, McCarty K, Silver S, Ching J, McMillan W, Luketich JD, Godfrey TE. A rapid, fully automated molecular-based assay accurately analyzes sentinel lymph nodes for the presence of metastatic breast cancer. Annals of Surgery 2006; 243:389-398.
19. Weerahandi S. Generalized confidence intervals. Journal of the American Statistical Association 1993; 88:899-905.
20. Weerahandi S. Exact Statistical Methods for Data Analysis. Springer: New York, 1995.
21. Muirhead RJ. Aspects of Multivariate Statistical Theory. Wiley: New York, 1982.
22. Mathew T, Webb DW. Generalized p values and confidence intervals for variance components: applications to Army test and evaluation. Technometrics 2005; 47:312-322.
23. Gamage J, Mathew T, Weerahandi S. Generalized p-values and generalized confidence regions for the multivariate Behrens-Fisher problem. Journal of Multivariate Analysis 2004; 88:177-189.
24. Barndorff-Nielsen OE. Modified signed log-likelihood ratio. Biometrika 1991; 78:557-563.
25. Mardia KV, Kent JT, Bibby JM. Multivariate Analysis. Academic Press: New York, 1979.
26. Srivastava MS. Methods of Multivariate Analysis. Wiley: New York, 2004.