两个多重相关变量组的统计分析(1) (典型相关与典型冗余分析)

本文介绍两组相关变量间的典型相关与典型冗余分析的统计分析方法 ,以及在SAS软件包中如何实现 ,文中给出了一个典型的例子     

两个多重相关变量组的统计分析(1)(典型相关与典型冗余分析)

本文介绍两组相关变量间的典型相关与典型冗余分析的统计分析方法，以及在SAS软件包中如何实现，文中给出了一个典型的例子。     

居民消费的典型相关分析

本文介绍了典型相关的基本思想 ,对居民消费与税收等指标之间的相互关系作典型相关分析 ,并就其间的因素影响进行讨论。     

上市公司经营绩效评价方法的典型相关分析

本文介绍了上市公司经营绩效的传统评价方法和EVA、MVA方法,并对几种方法进行了比较,采用典型相关分析方法,以沪市180指标股的相关数据进行了实证研究。我们发现EVA类指标与传统财务评价指标的结论是相一致的,都是公司经营绩效的有效反映。     

从典型相关分析洞悉我国粮食综合生产能力

在全球粮食危机的背景下,笔者试图对我国粮食综合生产能力进行解剖洞悉。将粮食综合生产能力分解为土地产出能力、劳动产出能力和资本产出能力3项形成"产出组",同时围绕土地、劳动、资本、技术、制度五大要素,利用可以直接量化和间接量化的13项指标形成"影响因素组",利用13个粮食主产区2000-2006年的数据,采取典型相关分析方法对两组指标进行分析,结果显示土地产出能力和劳动产出能力相对比较突出,而资本产出能力却有待发掘;对粮食综合生产能力最具影响力的因素是人均耕地、劳动力受教育情况,最不具影响力的因素是金融资源支持度。     

基于DEA的典型相关分析在商业银行信用风险评估中的应用

基于DEA方法用综合输出变量与综合输入变量之比反映相对效率的思想,通过典型相关分析,在最大相关系数条件下,取得线性综合变量的指标权重,引入CCA/DEA分析方法,运用于商业银行的信用风险评估中.提出了综合财务指标T比率的概念,实现了对评估对象的充分评价与排序.     

典型相关分析在考评教师业务素质中的应用

教学工作量，教学质量，科研能力，专业书籍阅读量是学校考评教师业务素质的基本指标，而这些指标间又存在着一定的关系。本文运用典型相关分析的方法，分析了这些指标间的相关关系，并由分析结果，提出了笔者对考评方法的一点参考意见。     

典型相关分析在大学生体育达标因素分析中的应用

为了贯彻德，智，体全面发展的教育方针，国家教委1990年向全国各高校颁发了《大学生体育合格标准》．影响大学生体育达标等级的因素有很多，主要分成身体形态指标，机能指标和运动素质指标三大类．对这些指标中的因素进行分析，找出各指标之间的关系，确定相对重要的因素，这对高校体育教师与学生在教学与平日锻炼中具有一定的指导作用．本文运用典型相关分析方法，分析了大学生身体形态指标与运动素质指标之间的相关关系．我们从华东地质学院95级625名学生的体育达标成绩中，随机抽取男，女各302人，每人七项指标，运用典型相关分析方法，…     

多元分析在分析物价变动主因中的应用

利用多元统计中的典型相关分析、因子分析方法，本文对１９５４年到１９９４年的七种物价指数及影响物价变动的九个因素的环比数列进行了全面分析，并试图找出物价上涨的主要因素，以此治理当前的通货膨胀。     

Large correlation analysis

In this paper, a novel supervised dimensionality reduction method is developed based on both the correlation analysis and the idea of large margin learning. The method aims to maximize the minimal correlation between each dimensionality-reduced instance and its class label, thus named as large correlation analysis (LCA). Unlike most existing correlation analysis methods such as CCA, CCAs and CDA, which all maximize the total or ensemble correlation over all training instances, LCA devotes to maximizing the individual correlations between given instances and its associated labels and is established by solving a relaxed quadratic programming with box-constraints. Experimental results on real-world datasets from both UCI and USPS show its effectiveness compared to the existing canonical correlation analysis methods.     

儿童主体性发展中教师与家长对幼儿评价的统计分析

儿童主体性发展中教师与家长对幼儿评价的统计分析．本文应用典型相关分析方法,对幼儿主体性发展进行统计分析,通过北京师范大学收集的教师和家长对幼儿评价的抽样调查数据,分析了幼儿在家与在园中主体性表现的差异和联系,为制订教育措施提供可靠的依据     

统计相关性分析方法的进展

系统综述了自19世纪开始且至今常用统计相关性的方法,例如Pearson和Spearman相关系数,CorGc和CovGc 相关性及距离相关性方法。重点介绍了2011年提出的MIC方法以及由此引发的毁誉参半的大量评述,旨在揭示这一热点领域研究面貌。该领域不仅受到统计学家的关注,而且受到了分析大样本和异质数据的应用研究领域的学者们的追捧,例如基因组生物学家和网络信息研究者。这些研究者期望在众多已有方法的理解和剖析中更恰当地付诸应用,并提出新的应用问题来推动新的分析方法的创造。     

Regularized generalized canonical correlation analysis for multiblock or multigroup data analysis

This paper presents an overview of methods for the analysis of data structured in blocks of variables or in groups of individuals. More specifically, regularized generalized canonical correlation analysis (RGCCA), which is a unifying approach for multiblock data analysis, is extended to be also a unifying tool for multigroup data analysis. The versatility and usefulness of our approach is illustrated on two real datasets.     

Canonical correlation analysis based on information theory

In this article, we propose a new canonical correlation method based on information theory. This method examines potential nonlinear relationships between p×1 vector Y-set and q×1 vector X-set. It finds canonical coefficient vectors a and b by maximizing a more general measure, the mutual information, between a^TX and b^TY. We use a permutation test to determine the pairs of the new canonical correlation variates, which requires no specific distributions for X and Y as long as one can estimate the densities of a^TX and b^TY nonparametrically. Examples illustrating the new method are presented.     

Simulation of typical Cox–Voronoi cells with a special regard to implementation tests

We consider stationary Poisson line processes in the Euclidean plane and analyze properties of Voronoi tessellations induced by Poisson point processes on these lines. In particular, we describe and test an algorithm for the simulation of typical cells of this class of Cox–Voronoi tessellations. Using random testing, we validate our algorithm by comparing theoretical values of functionals of the zero cell to simulated values obtained by our algorithm. Finally, we analyze geometric properties of the typical Cox–Voronoi cell and compare them to properties of the typical cell of other well-known classes of tessellations, especially Poisson–Voronoi tessellations. Our results can be applied to stochastic–geometric modelling of networks in telecommunication and life sciences, for example. The lines can then represent roads in urban road systems, blood arteries or filament structures in biological tissues or cells, while the points can be locations of telecommunication equipment or vesicles, respectively.     

A maximization problem and its application to canonical correlation

Let Σ be an n × n positive definite matrix with eigenvalues λ₁ ≥ λ₂ ≥ … ≥ λ_n > 0 and let M = {x, y | x?Rⁿ, y?Rⁿ, x ≠ 0, y ≠ 0, x′y = 0}. Then for x, y in M, we have that $\text{x′Σy}\text{(x′Σxy′Σy)}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{≤}\text{(λ}{}_1\text{? λ}{}_{\mathrm{n}}\text{)}\text{(λ}{}_1\text{+ λ}{}_{\mathrm{n}}\text{)}$ and the inequality is sharp. If

$\text{∑=}\text{∑}{}_{11}\text{∑}{}_{12}\text{∑}{}_{21}\text{∑}{}_{22}$

is a partitioning of Σ, let θ₁ be the largest canonical correlation coefficient. The above result yields $\text{θ}{}_1\text{≤}\text{(λ}{}_1\text{? λ}{}_{\mathrm{n}}\text{)}\text{(λ}{}_1\text{+ λ}{}_{\mathrm{n}}\text{)}$.     

Eigenvalue-Eigenvector analysis for a class of patterned correlation matrices with an application: A comment

A correlation matrix analyzed by Kotz, Pearn and Wichern (1984) is reanalyzed with known results on balanced ANOVA models.     

Asymptotic distributions in the projection pursuit based canonical correlation analysis

In this paper, associations between two sets of random variables based on the projection pursuit (PP) method are studied. The asymptotic normal distributions of estimators of the PP based canonical correlations and weighting vectors are derived.     

Convergence of a typical martingale (A remark on the Doob theorem)

We study convergence behavior of discrete martingales with values in the interval [0,1]$[0,1]$ from a measure theoretical point of view as well as from a topological one. We show that almost all martingales converge to 0 or 1 almost everywhere. On the other hand, a typical martingale diverges on a comeager set.