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Role of the Papadakis Estimator in One- and Two-Dimensional Field Trials

Papadakis 估计量在一维与二维田间试验中的作用

Field trials when observations are correlated with those in neighbouring or nearby plots in one dimension are examined. The relationships between maximum likelihood solutions and the well-known Papadakis estimator are clarified and it is shown that the Papadakis estimator is appropriate under one covariance assumption but not others.

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Role of the Papadakis estimator in one- and two-dimensional field trials

Papadakis估计量在一维和二维田间试验中的作用

Field trials when observations are correlated with those in neighbouring or nearby plots in one dimension are examined. The relationships between maximum likelihood solutions and the well-known Papadakis estimator are clarified and it is shown that the Papadakis estimator is appropriate under one covariance assumption but not others.

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The Distribution of Certain Regression Statistics

若干回归统计量的分布

The conventional entry test for a new variable in stepwise regression is not theoretically correct, but is used because the necessary exact distributions are not known. Some distributional results which throw light on the situation are given.

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Bayesian analysis of liner models with two random components with special referance to the balanced incomplete block design

双随机成分线性模型的贝叶斯分析:平衡不完全区组设计

Abstract : The paper considers linear models which contain two random components and enable representation of general designs with block effects random. It shows how, within a Bayesian framework, to combine the intra- and inter-block information about the location parameters. The balanced incomplete block design, an important special case, is considered in detail and illustrated by an example. A simple approximation to the marginal distribution of an individual contrast is…

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