TY - JOUR
T1 - A studentized range test for the equivalency of normal means under heteroscedasticity
AU - Wen, Miin Jye
AU - Chen, Hubert J.
N1 - Funding Information:
This research was supported by the National Cheng Kung University and was also supported by the National Science Council NSC92-2119-M-006-007 and NSC93-2118-M-006-008.
PY - 2006/11/15
Y1 - 2006/11/15
N2 - A studentized range test using a two-stage and a one-stage sampling procedures, respectively, is proposed for testing the null hypothesis that the average deviation of the normal means is falling into a practical indifference zone. Both the level and the power of the proposed test associated with the hypotheses are controllable and they are completely independent of the unknown variances. The two-stage procedure is a design-oriented procedure that satisfies certain probability requirements and simultaneously determines the required sample sizes for an experiment while the one-stage procedure is a data-analysis procedure after the data have been collected, which can supplement the two-stage procedure when the later has to end its experiment sooner than its required experimental process is completed. Tables needed for implementing these procedures are given.
AB - A studentized range test using a two-stage and a one-stage sampling procedures, respectively, is proposed for testing the null hypothesis that the average deviation of the normal means is falling into a practical indifference zone. Both the level and the power of the proposed test associated with the hypotheses are controllable and they are completely independent of the unknown variances. The two-stage procedure is a design-oriented procedure that satisfies certain probability requirements and simultaneously determines the required sample sizes for an experiment while the one-stage procedure is a data-analysis procedure after the data have been collected, which can supplement the two-stage procedure when the later has to end its experiment sooner than its required experimental process is completed. Tables needed for implementing these procedures are given.
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U2 - 10.1016/j.csda.2005.10.009
DO - 10.1016/j.csda.2005.10.009
M3 - Article
AN - SCOPUS:33750283792
SN - 0167-9473
VL - 51
SP - 1022
EP - 1038
JO - Computational Statistics and Data Analysis
JF - Computational Statistics and Data Analysis
IS - 2
ER -