TY - JOUR
T1 - Inferences on the common mean of several log-normal populations
T2 - The generalized variable approach
AU - Tian, Lili
AU - Wu, Jianrong
PY - 2007/12
Y1 - 2007/12
N2 - This paper proposes a novel approach for the confidence interval estimation and hypothesis testing of the common mean of several log-normal populations using the concept of generalized variable. Simulation studies demonstrate that the proposed approach can provide confidence intervals with satisfying coverage probabilities and can perform hypothesis testing with satisfying type-I error control even at small sample sizes. Overall, it is superior to the large sample approach. The proposed method is illustrated using two examples.
AB - This paper proposes a novel approach for the confidence interval estimation and hypothesis testing of the common mean of several log-normal populations using the concept of generalized variable. Simulation studies demonstrate that the proposed approach can provide confidence intervals with satisfying coverage probabilities and can perform hypothesis testing with satisfying type-I error control even at small sample sizes. Overall, it is superior to the large sample approach. The proposed method is illustrated using two examples.
KW - Confidence intervals
KW - Generalized P-values
KW - Generalized confidence intervals
KW - Type-I error
UR - https://www.scopus.com/pages/publications/38049151164
UR - https://www.scopus.com/pages/publications/38049151164#tab=citedBy
U2 - 10.1002/bimj.200710391
DO - 10.1002/bimj.200710391
M3 - Article
C2 - 18058995
AN - SCOPUS:38049151164
SN - 0323-3847
VL - 49
SP - 944
EP - 951
JO - Biometrical Journal
JF - Biometrical Journal
IS - 6
ER -