Pooling Mean Squares in ANOVA Model II

S. R. Srivastava

doi:10.1080/01621459.1972.10481276

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Pooling Mean Squares in ANOVA Model II

S. R. Srivastava刊期 1972-09 · 卷 67（339）Journal of the American Statistical Association已编入正刊

方差分析第二类模型中的均方合并AI 解读 ↓

检验与推断一般估计

被引 3 次 ↗OpenAlex · 核验 2026-10-03

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DOI · 10.1080/01621459.1972.10481276

Journal of the American Statistical Association · 卷 67，期 339 · 页码 / 文章号 676-679

正式刊期日期：1972-09

DOI 首次登记：2012-04-05

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关注这篇论文的作者

S. R. Srivastava

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方差分析第二类模型中的均方合并

研究问题: 在方差分析第二类模型中，经过两次初步显著性检验后，如何估计目标误差方差并评估合并均方的影响？
方法与思路: 作者提出预检验后的误差方差估计程序，并从偏差和均方误差两个角度，将其与一个无偏估计量比较。
材料陈述的贡献: 摘要明确陈述了估计程序与比较维度，但未报告比较结果，因此无法判断合并方案在哪些条件下改善均方误差。
阅读关注点: 应核对第二类模型的具体结构、两次预检验与合并规则，以及选择步骤如何影响估计偏差和均方误差。
阅读边界: 仅据 OpenAlex 索引摘要，稿件版本未注明；目标方差符号的上下标需查原 PDF，检验阈值、模型条件和比较结果均未说明。

GPT-6.1 Sol · 高 · 2026-10-03

原文摘要

This article presents a procedure for estimating the true error variance σ2 3 after two preliminary tests of significance in ANOVA Model II and considers its comparison as regards to bias and mean square error with that of an unbiased estimator of σ2 3.

摘要来源：OpenAlex 索引摘要（稿件版本未注明）

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