Testing the equality of several log-normal means based on a computational approach

References

• Berger, R. L., Hsu, J. C. (1996). Bioequivalence trials, intersection-union tests and equivalence confidence sets. Statistical Science 11:283–319.
   Google Scholar
• Chang, C. H., Lin, J. J., Pal, N. (2011). Testing the equality of several gamma means: a parametric bootstrap method with applications. Computational Statistics 26(1):55–76.
   Google Scholar
• Chang, C. H., Pal, N. (2008). A revisit to the Behren-Fisher Problem: comparison of five test methods. Communications in Statistics-Simulation and Computation 37(6):1064–1085.
   Google Scholar
• Chang, C. H., Pal, N., Lim, W. K., Lin, J. J. (2010). A note on comparing several Poisson means. Communications in Statistics-Simulation and Computation 39:1605–1627.
   Google Scholar
• Chow, S. C., Liu, J. P. (2000). Design and Analysis of Bioavailability and Bioequivalence Studies. 2nd ed. New York: Marcel Dekker.
   Google Scholar
• Crow, E. L., Shimizu, K. (1998). Lognormal Distribution, New York: Mercel Dekker.
   Google Scholar
• Davison, A. C., Hinkley, D. V. (1997). Bootstrap Methods and Their Application, Cambridge: Cambridge University Press.
   Google Scholar
• Gokpinar, E. Y., Gokpinar, F. (2012). A test based on computational approach for equality of means under unequal variance assumption. Hacettepe Journal of Mathematics and Statistics 41(4):605–613.
   Google Scholar
• Gokpinar, E. Y., Polat, E., Gokpinar, F., Gunay, S. (2013). A new computational approach for testing equality of inverse gaussian means under heterogeneity. Hacettepe Journal of Mathematics and Statistics 42(5):581–590.
   Google Scholar
• Guo, J., Luh, W. (2000). Testing methods for the one-way fixed effects ANOVA models of log-normal samples. Journal of Applied Statistics 27:731–738.
   Google Scholar
• Gupta, R. C., Li, X. (2006). Statistical inference for the common mean of two log-normal distributions and some applications in reliability. Computational Statistics & Data Analysis 50:3141–3164.
   Google Scholar
• Krishnamoorthy, K., Mathew, T. (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.
   Google Scholar
• Land, C. E. (1971). Confidence intervals for the linear function of the normal mean and variance. Annals of Mathematical Statistics 42:1187–1205.
   Google Scholar
• Land, C. E. (1972). An evaluation of approximate confidence interval estimation methods for lognormal means. Technometrics 14:145–158.
   Google Scholar
• 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.
   Google Scholar
• Land, C. E. (1975). Tables of Confidence Limits for Linear Functions of the Normal Mean and Variance, Vol. III, Providence, USA: American Mathematical Society. pp. 385–419.
   Google Scholar
• Land, C. E. (1988). Hypotheses tests and interval estimates. In: Crow, E. L., Shimizu, K., eds., Lognormal Distribution, New York: Marcel Dekker, pp. 87–112.
   Google Scholar
• Li, X. (2009). A generalized p-value approach for comparing the means of several log-normal populations. Statistics and Probability Letters 79:1404–1408.
   Google Scholar
• Lyles, R. H., Kupper, L. L. (1996). On strategies for comparing occupational exposure data to limits. American Industrial Hygiene Association Journal 57:6–15.
   Google Scholar
• Pal, N., Lim, W. K., Ling, C. H. (2007). A computational approach to statistical inferences. Journal of Applied Probability & Statistics 2:13–35.
   Google Scholar
• Royston, P. (2001). The Lognormal distribution as a model for survival time in cancer, with an emphasis on prognostic factors. Statistica Neerlandica 55(1):89–104.
   Google Scholar
• Tian, L. (2006). Testing equality of inverse Gaussian means under heterogeneity based on generalized test variable. Computational Statistics & Data Analysis 51:1156–1162.
   Google Scholar
• Weerahandi, S. (1995). ANOVA under unequal error variances. Biometrica 38:330–336.
   Google Scholar
• Wu, J., Jiang, G., Wong, A. C. M., Sun, X. (2002). Likelihood analysis for the ratio of means of two independent log-normal distributions. Biometrics 58:463–469.
   Google Scholar
• Xu, L., Wang, S. (2007). A new generalized p-value for ANOVA under heteroscedasticity. Statistics and Probability Letters 78:963–969.
   Google Scholar
• Zhou, X. H., Gao, S. (1997). Confidence intervals for the lognormal mean. Statistics in Medicine 16:783–790.
   Google Scholar
• Zhou, X. H., Gao, S., Hui, S. L. (1997). Methods for comparing the means of two independent log-normal samples. Biometrics 53:1129–1135.
   Google Scholar
• Zhou, X., Tu, W. (1999). Comparison of several independent population means when their samples contain log-normal and possibly zero observations. Biometrics 55:645–651.
   Google Scholar