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方差分析的用途与滥用

Uses and abuses of analysis of variance.

作者信息

Evans S J

出版信息

Br J Clin Pharmacol. 1983 Jun;15(6):629-48. doi: 10.1111/j.1365-2125.1983.tb01544.x.

DOI:10.1111/j.1365-2125.1983.tb01544.x
PMID:6347228
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC1427919/
Abstract

Analysis of variance is a term often quoted to explain the analysis of data in experiments and clinical trials. The relevance of its methodology to clinical trials is shown and an explanation of the principles of the technique is given. The assumptions necessary are examined and the problems caused by their violation are discussed. The dangers of misuse are given with some suggestions for alternative approaches.

摘要

方差分析是一个在解释实验和临床试验中的数据分析时经常被引用的术语。文中展示了其方法与临床试验的相关性，并对该技术的原理进行了解释。文中审视了必要的假设条件，并讨论了违背这些假设所引发的问题。文中指出了误用的风险，并给出了一些采用替代方法的建议。

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本文引用的文献

1
The maximum F-ratio as a short-cut test for heterogeneity of variance.作为方差齐性捷径检验的最大F比率。
Biometrika. 1950 Dec;37(3-4):308-12.
2
What can we do with the data we throw away?我们如何处理我们丢弃的数据？
Br J Clin Pharmacol. 1982 Nov;14(5):653-9. doi: 10.1111/j.1365-2125.1982.tb04951.x.
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Simultaneous inference in epidemiological studies.流行病学研究中的同时推断
Int J Epidemiol. 1982 Sep;11(3):276-82. doi: 10.1093/ije/11.3.276.
4
Logic and inference in clinical trials.临床试验中的逻辑与推理
Br J Clin Pharmacol. 1982 Aug;14(2):171-6. doi: 10.1111/j.1365-2125.1982.tb01958.x.
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Measurement in clinical trials.临床试验中的测量
Br J Clin Pharmacol. 1982 Jun;13(6):775-83. doi: 10.1111/j.1365-2125.1982.tb01865.x.
6
Statistical significance tests.统计显著性检验。
Br J Clin Pharmacol. 1982 Sep;14(3):325-31. doi: 10.1111/j.1365-2125.1982.tb01987.x.
7
The two-period cross-over clinical trial.两阶段交叉临床试验。
Br J Clin Pharmacol. 1979 Jul;8(1):7-20. doi: 10.1111/j.1365-2125.1979.tb05903.x.
8
The importance of beta, the type II error and sample size in the design and interpretation of the randomized control trial. Survey of 71 "negative" trials.β错误、II型错误以及样本量在随机对照试验设计与解读中的重要性。对71项“阴性”试验的调查。
N Engl J Med. 1978 Sep 28;299(13):690-4. doi: 10.1056/NEJM197809282991304.