TY - JOUR
T1 - A modified single-stage sampling procedure for heteroscedasticity analysis of means with unbalanced design
AU - Wang, Wei Ming
AU - Wen, Chun Che
AU - Das, Rajdeep
AU - Wen, Miin Jye
N1 - Publisher Copyright:
© 2022 Taylor & Francis Group, LLC.
PY - 2024
Y1 - 2024
N2 - The analysis of means (ANOM) is a method that can compare the mean of each treatment with the overall mean. As one-way ANOVA, the conventional ANOM is not robust under unequal variances. We applied two inference procedures, single-stage and modified single-stage sampling, to solve heteroscedastic analysis of means (HANOM) under unbalanced design. Using proposed weighted average across groups, the influence of the unknown mean and variance are both eliminated. To validate the stability of HANOM under several scenarios of unequal variances and sample sizes, simulation studies of empirical type I error rate are conducted to test the quality of procedures. A real application is provided for illustrating these two procedures clearly. In addition, we build an user-friendly interface to show the results of the HANOM by using Shiny package in R software.
AB - The analysis of means (ANOM) is a method that can compare the mean of each treatment with the overall mean. As one-way ANOVA, the conventional ANOM is not robust under unequal variances. We applied two inference procedures, single-stage and modified single-stage sampling, to solve heteroscedastic analysis of means (HANOM) under unbalanced design. Using proposed weighted average across groups, the influence of the unknown mean and variance are both eliminated. To validate the stability of HANOM under several scenarios of unequal variances and sample sizes, simulation studies of empirical type I error rate are conducted to test the quality of procedures. A real application is provided for illustrating these two procedures clearly. In addition, we build an user-friendly interface to show the results of the HANOM by using Shiny package in R software.
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U2 - 10.1080/03610918.2022.2074456
DO - 10.1080/03610918.2022.2074456
M3 - Article
AN - SCOPUS:85130256730
SN - 0361-0918
VL - 53
SP - 2277
EP - 2290
JO - Communications in Statistics: Simulation and Computation
JF - Communications in Statistics: Simulation and Computation
IS - 5
ER -