Determining Sample Sizes for Precise Contrast Analysis With Heterogeneous Variances

Show Li Jan, Gwowen Shieh

研究成果: Article同行評審

2 引文 斯高帕斯(Scopus)

摘要

The analysis of variance (ANOVA) is one of the most frequently used statistical analyses in practical applications. Accordingly, the single and multiple comparison procedures are frequently applied to assess the differences among mean effects. However, the underlying assumption of homogeneous variances may not always be tenable. This study examines the sample size procedures for precise interval estimation of linear contrasts within the context of one-way heteroscedastic ANOVA models. The desired precision of both individual and simultaneous confidence intervals is evaluated with respect to the control of expected half width and to the tolerance probability of interval half width within a designated value. Supplementary computer programs are developed to aid the usefulness and implementation of the proposed techniques. The suggested sample size procedures improve upon the existing approaches and extend the methodology development in the statistical literature.

原文English
頁(從 - 到)91-116
頁數26
期刊Journal of Educational and Behavioral Statistics
39
發行號2
DOIs
出版狀態Published - 四月 2014

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