Error variance bias in neighbour balance and evenness of distribution designs

Williams E. R.; Piepho H. P.

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Error variance bias in neighbour balance and evenness of distribution designs

机译：邻居余额的误差方差偏差和分布设计的均匀性

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摘要

Neighbour balance and evenness of distribution designs help to address user concerns in the two-dimensional layout of agricultural field trials. This is done by minimising the occurrence of pairwise treatment plot neighbours and ensuring that the replications of treatments are spread out across rows and columns of a trial. Such considerations result in a restriction on the normal randomisation process for a row-column design which can lead to error variance bias. In this paper, uniformity trial data is used to assess the degree of this bias for both resolvable and non-resolvable designs. Comparisons are made with a similar investigation using Linear Variance spatial designs.

机译：邻居平衡和分销设计的均匀性有助于解决用户对农业田间试验的二维布局的担忧。这是通过最小化成对处理曲线邻居的发生并确保治疗的复制跨越试验的行和列来完成。这种考虑因素导致对行列设计的正常随机处理过程的限制，这可能导致误差方差偏差。在本文中，使用均匀性试验数据来评估可解变和不可解剖设计的这种偏差的程度。使用线性方差空间设计进行了类似的调查进行比较。

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来源
《Australian & New Zealand journal of statistics》 |2019年第4期|466-473|共8页
作者
Williams E. R.; Piepho H. P.;
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Australian Natl Univ Stat Consulting Unit Canberra ACT 2600 Australia;

Univ Hohenheim Biostat Unit D-70593 Stuttgart Germany;

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原文格式 PDF
正文语种 eng
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关键词
average efficiency factor; experimental design; neighbour balance; randomisation; resolvable design; row-column design;

机译：平均效率因子;实验设计;邻居平衡;随机化;可解决的设计;行柱设计;

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1. Neighbor balance and evenness of distribution of treatment replications in row‐column designs [J] . Piepho Hans‐Peter, Michel Volker, Williams Emlyn Biometrical Journal . 2018,第6期

机译：邻居余额和均匀分布的行柱设计中的治疗复制
2. An Evaluation of Error Variance Bias in Spatial Designs [J] . Emlyn R. Williams, Hans-Peter Piepho Journal of Agricultural, Biological, and Environmental Statistics . 2018,第1期

机译：空间设计中误差方差偏差的评估
3. Sensitivity of species-distribution models to error, bias, and model design: An application to resource selection functions for woodland caribou [J] . Johnson CJ, Gillingham MP Ecological Modelling . 2008,第2期

机译：物种分布模型对误差，偏差和模型设计的敏感性：林地驯鹿资源选择功能的应用
4. General bias/variance decomposition with target independent variance of error functions derived from the exponential family of distributions [C] . Hansen, J.V., Heskes, . 2000

机译：具有从指数分布族派生的误差函数的目标独立方差的一般偏差/方差分解
5. Bias-variance Error Decomposition for Data-driven Geospatial Modeling. [D] . Gao, Jing. 2013

机译：用于数据驱动的地理空间建模的偏差方差误差分解。
6. Overlap and the errors of plaque counting. II.the bias of the variance and the concealment of errors. [O] . D. W. Howes, Fazekas de St Groth 1969

机译：重叠和噬菌斑计数错误。 II。方差的偏差和错误的隐藏。
7. General bias/variance decomposition with target independent variance of error functions derived from the exponential family of distributions [O] . Jakob V. Hansen, Tom Heskes 1999

机译：具有从指数分布族派生的误差函数的目标独立方差的常规偏差/方差分解
8. Analysis of Bias,Variance and Mean Square Estimation Error in Reduced Order Filters. [R] . asher,robert b. ryles,jesse c. 1974

机译：降阶滤波器的偏差，方差和均方估计误差分析。

Error variance bias in neighbour balance and evenness of distribution designs

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