A generalized p-value approach for comparing the means of several log-normal populations

For the problem of comparing the means of several log-normal populations, a novel approach based on a generalized p-value is given. The merits of the proposed method are numerically compared with the existing method with respect to their sizes and powers under different scenarios. The simulation results demonstrate that the proposed approach can perform hypothesis testing with satisfactory sizes.

[1]  Xue Li,et al.  Statistical inference for the common mean of two log-normal distributions and some applications in reliability , 2006, Comput. Stat. Data Anal..

[2]  K. Krishnamoorthy,et al.  A parametric bootstrap approach for ANOVA with unequal variances: Fixed and random models , 2007, Comput. Stat. Data Anal..

[3]  Thomas Mathew,et al.  Generalized p Values and Confidence Intervals for Variance Components: Applications to Army Test and Evaluation , 2005, Technometrics.

[4]  Guoying Li,et al.  A fiducial argument for generalized p-value , 2007 .

[5]  B. L. Welch.  ON THE COMPARISON OF SEVERAL MEAN VALUES: AN ALTERNATIVE APPROACH , 1951 .

[6]  Samaradasa Weerahandi,et al.  Generalized Confidence Intervals , 1993 .

[7]  Thomas Mathew,et al.  Some Tests for Variance Components Using Generalized p Values , 1994 .

[8]  T. Mathew,et al.  Inferences on the means of lognormal distributions using generalized p-values and generalized confidence intervals , 2003 .

[9]  X H Zhou,et al.  Methods for comparing the means of two independent log-normal samples. , 1997, Biometrics.

[10]  Kam-Wah Tsui,et al.  Generalized p-Values in Significance Testing of Hypotheses in the Presence of Nuisance Parameters , 1989 .

[11]  Sam Weerahandi.  ANOVA under Unequal Error Variances , 1995 .

[12]  Wei-Ming Luh,et al.  Testing methods for the one-way fixed effects ANOVA models of log-normal samples , 2000 .

[13]  G. S. James.  THE COMPARISON OF SEVERAL GROUPS OF OBSERVATIONS WHEN THE RATIOS OF THE POPULATION VARIANCES ARE UNKNOWN , 1951 .