References
- Abdollahnezhad, K., and A. A. Jafari. 2018. Testing the equality of quantiles for several normal populations. Communications in Statistics-Simulation and Computation 47 (2):1890–1898.
- Aboueissa, A. E.-M. A. 2015. Comparison of two means of two log-normal distributions when data is singly censored. International Journal of Statistics and Probability 4 (2):73.
- Chien, W.-T. K., and S. F. Yang. 2007. A new method to determine the reliability comparability for products, components, and systems in reliability testing. IEEE Transactions on Reliability 56 (1):69–76. doi:10.1109/TR.2006.890891.
- Crow, E. L., and K. Shimizu. 1987. Lognormal distributions. New York: Marcel Dekker.
- Guo, H., and K. Krishnamoorthy. 2005. Comparison between two quantiles: The normal and exponential cases. Communications in Statistics—Simulation and Computation® 34 (2):243–52. doi:10.1081/SAC-200055639.
- Gupta, R. C., and X. Li. 2006. Statistical inference for the common mean of two log-normal distributions and some applications in reliability. Computational Statistics & Data Analysis 50 (11):3141–64. doi:10.1016/j.csda.2005.05.005.
- Harris, G. A. 1991. Two-Sample Comparisons in the Presence of Less-Than- Detectable Data. Proceeding of the Section on Statistics and the Environment: American Statistical Association:197–201.
- Hewett, P., and G. H. Ganser. 2007. A comparison of several methods for analyzing censored data. The Annals of Occupational Hygiene 51 (7):611–32. doi:10.1093/annhyg/mem045.
- Krishnamoorthy, K., T. Mathew, and Z. Xu. 2014. Comparison of means of two lognormal distributions based on samples with multiple detection limits. Journal of Occupational and Environmental Hygiene 11 (8):538–46. doi:10.1080/15459624.2014.881487.
- Krishnamoorthy, K., and E. Oral. 2017. Standardized likelihood ratio test for comparing several log-normal means and confidence interval for the common mean. Statistical Methods in Medical Research 26 (6): 2919–2937.
- Krishnamoorthy, K., and Z. Xu. 2011. Confidence limits for lognormal percentiles and for lognormal mean based on samples with multiple detection limits. The Annals of Occupational Hygiene 55 (5):495–509. doi:10.1093/annhyg/mer014.
- Li, X., L. Tian, J. Wang, and J. R. Muindi. 2012. Comparison of quantiles for several normal populations. Computational Statistics & Data Analysis 56 (6):2129–38. doi:10.1016/j.csda.2012.01.002.
- Stoline, M. R. 1993. Comparison of two medians using a two‐sample lognormal model in environmental contexts. Environmetrics 4 (3):323–39. doi:10.1002/env.3170040307.
- Pang-Ning, T., M. Steinbach, and V. Kumar. 2005. Introduction to data mining. 1st ed. Boston: Pearson Addison Wesley. xxi.
- Tang, S., and A. B. Yeh. 2016. Approximate Confidence Intervals for the Log‐Normal Standard Deviation. Quality and Reliability Engineering International 32 (2):715–25. doi:10.1002/qre.1786.
- Tsui, K.-W., and S. Weerahandi. 1989. Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters. Journal of the American Statistical Association 84 (406):602–7. doi:10.2307/2289949.
- Wang, E. 2002. Sameness—An Equivalent Index of Products, Processes and Services. Hawaiian International Conference on Statistics.
- Weerahandi, S. 1993. Generalized confidence intervals. Journal of the American Statistical Association 88 (423):899–905. doi:10.1080/01621459.1993.10476355.
- Zhou, X.-H., S. Gao, and S. L. Hui. 1997. Methods for comparing the means of two independent log-normal samples. Biometrics 53 (3):1129–35. doi:10.2307/2533570.
- Zou, G. Y., J. Taleban, and C. Y. Huo. 2009. Confidence interval estimation for lognormal data with application to health economics. Computational Statistics & Data Analysis 53 (11):3755–64. doi:10.1016/j.csda.2009.03.016.
- Zou, G. Y., and A. Donner. 2008. Construction of confidence limits about effect measures: A general approach. Statistics in Medicine 27 (10):1693–702. doi:10.1002/sim.3095.
- Zou, G. Y., C. Y. Huo, and J. Taleban. 2009. Simple confidence intervals for lognormal means and their differences with environmental applications. Environmetrics 20 (2):172–80. doi:10.1002/env.919.