ESTIMATION OF VARIANCE FUNCTIONS IN ASSAYS WITH POSSIBLY UNEQUAL REPLICATION AND NONNORMAL DATA
成果类型：
Article
署名作者：
DAVIDIAN, M
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.1093/biomet/77.1.43
发表日期：
1990
页码：
4354
关键词：
摘要：
Estimation of parametric variance functions using transformation of standard deviations based on replication at each design point is common in, but not limited to, assay analysis. It is shown that ignoring unequal replication can lead to bias and inefficiency in estimation. Efficiency comparisons for different transformations for nonormal distributions are given. A method to account for bias is described that can offer robustness to nonnormality and leads to a comparison of Gini''s mean different to sample standard deviation. A method for computing all of these estimators using standard software is described.
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