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One Degree of Freedom for Non-Additivity: Applications with Generalized Linear Models and Link Functions

机译：非可加性的一个自由度：具有广义线性模型和链接函数的应用

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摘要

The unreplicated two-way table of observations is considered with generalized linear models being fitted. The predictor, which is linear in row and column effects, is extended to include an interaction term which is multiplicative in the row and column effects and equivalent to one degree of freedom for nonadditivity term of Tukey (1949). Various interpretations of the model are given, including the suggestion of a new link function. An example involving the 3 x 4 table of survival times is analyzed. Extensions are considered.

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作者
Pettitt, A. N.;
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年度 1986
页码 p.1-29
总页数 29
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Linear prediction; Mathematical models; Least squares method; Degrees of freedom; Factorization; Regression analysis;

机译：线性预测;数学模型;最小二乘法;自由度;因子分解;回归分析;

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专利

1. On generalized degrees of freedom with application in linear mixed models selection [J] . You Chong, Mueller Samuel, Ormerod John T. Statistics and computing . 2016,第1a2期

机译：广义自由度及其在线性混合模型选择中的应用
2. Generalized degrees of freedom and adaptive model selection in linear mixed-effects models [J] . Zhang B., Shen X., Mumford S.L. Computational statistics & data analysis . 2012,第3期

机译：线性混合效应模型中的广义自由度和自适应模型选择
3. Comparing denominator degrees of freedom approximations for the generalized linear mixed model in analyzing binary outcome in small sample cluster-randomized trials [J] . Peng Li, David T Redden BMC Medical Research Methodology . 2015,第1期

机译：在分析小样本集群随机试验中的二元结果时，比较广义线性混合模型的分母自由度近似值
4. A generalized practical approach to the free path finding problem, applied to a planar two-links robot with four degrees of freedom moving amidst polygonal obstacles [C] . Sorgen, A., Holm, Industrial Electronics, Control and Instrumentation, 1991. Proceedings. IECON '91., 1991 International Conference on . 1991

机译：一种通用的解决自由路径问题的实用方法，适用于在多边形障碍物中具有四个自由度的平面两连杆机器人
5. Generalized Mathematical Modelling of a Novel Singularity-free Class of Six Degrees of Freedom Motion Platform. [D] . Weiss, Abraham. 2011

机译：新型六自由度运动平台的无奇点类的广义数学建模。
6. Generalized Degrees of Freedom and Adaptive Model Selection in Linear Mixed-Effects Models [O] . Bo Zhang, Xiaotong Shen, Sunni L. Mumford -1

机译：线性混合效果模型中的广义自由度和自适应模型选择
7. Comparing denominator degrees of freedom approximations for the generalized linear mixed model in analyzing binary outcome in small sample cluster-randomized trials [O] . Peng Li, David T Redden 2015

机译：在分析小样本集群随机试验中的二元结果时，比较广义线性混合模型的分母自由度近似值
8. Choosing the Link Function and Accounting for Link Uncertainty in Generalized Linear Models using Bayes Factors [R] . Czado, C. , Raftery, A. E. 2001

机译：用贝叶斯因子选择广义线性模型中链接不确定性的链接函数和会计

One Degree of Freedom for Non-Additivity: Applications with Generalized Linear Models and Link Functions

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