Toward a Definition and Understanding of Correlation for Variables Constrained by Random Relations

机译：对随机关系约束的变量的相关性的定义和理解

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《AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference;AIAA/ASME/AHS Adaptive Structures Conference;AIAA Non-Deterministic Approaches Forum;AIAA Gossamer Spacecraft Forum;AIAA Multidisciplinary Design Optimization Specialist Conference》|2005年|P.1-7|共7页
会议地点 Austin, TX(US);Austin, TX(US);Austin, TX(US);Austin, TX(US);Austin, TX(US)
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F. Tonon; C. Pettit; U.S;
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University of Utah Salt Lake City UT;

. Naval Academy Annapolis MD;

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1. Toward a definition and understanding of correlation for variables constrained by random relations [J] . Fulvio Tonon, rnChris L. Pettit International journal of general systems . 2010,第6期

机译：对受随机关系约束的变量的定义和相关性的理解
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4. Toward a Definition and Understanding of Correlation for Variables Constrained by Random Relations [C] . American Institute of Aeronautics and Astronautics/American Society of Mechanical Engineers/American Society of Civil Engineers/American Helicopter Society/ASC Structures, Structural Dynamics Materials Conference . 2005

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7. Figure 3: (A) Constrained ordination (CAP; Resource and Fencing are the constraining factors) with vector overlays representing simple Spearman correlations between response variables and the two axes (Appendix S2). Separation of communities along Axis 1 is largely related to the impact of the Resource treatment on community structure. Thus, the extent to which a vector is parallel with Axis 1 reflects the extent of the negative (to the left) or positive (to the right) correlation of densities of that taxon with the addition of detritus. The length of each vector represents the joint correlation of the response variable with both axes of the ordination, with the circle representing a correlation of 1. Vectors shown have Spearman coefficients with CAP Axis 1 that are ≥.50 or ≤−.50. To prevent clutter on the graph, arrow heads of the vectors are not drawn. Key to abbreviations is in Fig. 1. (B) Constrained ordination (CAP) with vector overlays representing multiple correlation coefficients (analogous to univariate partial correlation coefficients). [O] . -1

机译：图3：（a）受约束的秩序（帽;资源和围栏是约束因子），其具有表示响应变量和两个轴之间的简单的Spearman相关性的载体覆盖（附录S2）。沿着轴1的群落分离在很大程度上与资源处理对群落结构的影响有关。因此，载体与轴1平行的程度反映了将该分类群的密度的负（向左）或正（右侧）相关的程度反映了碎屑。每个矢量的长度表示与序列的两个轴的响应变量的关节相关性，表示所示的圆圈的圆圈具有凸轴1的矛盾系数，≥50或≤-.50。为了防止图形上的杂乱，没有绘制向量的箭头头。缩写的键在图1中。（b）受约束的偏移（帽），其覆盖层表示多个相关系数（类似于单偏移部分相关系数）。

Toward a Definition and Understanding of Correlation for Variables Constrained by Random Relations

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