Design-based random permutation models with auxiliary information

We extend the random permutation model to obtain the best linear unbiased estimator of a finite population mean accounting for auxiliary variables under simple random sampling without replacement (SRS) or stratified SRS. The proposed method provides a systematic design-based justification for well-known results involving common estimators derived under minimal assumptions that do not require specification of a functional relationship between the response and the auxiliary variables.     

Bayes designs for multiple linear regression on the unit sphere

We deal with experimental designs minimizing the mean square error of the linear BAYES estimator for the parameter vector of a multiple linear regression model where the experimental region is the k-dimensional unit sphere. After computing the uniquely determined optimum information matrix, we construct, separately for the homogeneous and the inhomogeneous model, both approximate and exact designs having such an information matrix.     

A Comparison of Multiple Outlier Detection Methods for Regression Data

The problem of outliers in statistical data has attracted many researchers for a long time. Consequently, numerous outlier detection methods have been proposed in the statistical literature. However, no consensus has emerged as to which method is uniformly better than the others or which one is recommended for use in practical situations. In this article, we perform an extensive comparative Monte Carlo simulation study to assess the performance of the multiple outlier detection methods that are either recently proposed or frequently cited in the outlier detection literature. Our simulation experiments include a wide variety of realistic and challenging regression scenarios. We give recommendations on which method is superior to others under what conditions.     

On the Principal Component Liu-type Estimator in Linear Regression

In this article, we present a principal component Liu-type estimator (LTE) by combining the principal component regression (PCR) and LTE to deal with the multicollinearity problem. The superiority of the new estimator over the PCR estimator, the ordinary least squares estimator (OLSE) and the LTE are studied under the mean squared error matrix. The selection of the tuning parameter in the proposed estimator is also discussed. Finally, a numerical example is given to explain our theoretical results.     

A statistical test for detecting discordance in rankings between k groups

In several research areas such as psychology, social science, and medicine, studies are conducted in which objects should be ranked by different judges/raters and the concordance of the different rankings is then analyzed. In such studies, it is also frequently of interest to compare the rankings between different groups of judges, e.g. female vs. male judges or judges from different professions. In the two-group case, the two-group concordance test of Schucany & Frawley can be employed for such a comparison. In this article, we propose an extension of this test enabling the comparison of rankings from more than two groups of judges. This test aims to detect disagreement in the average rankings of the objects between k groups with an at least moderate intra-group concordance. We evaluate this test in an extensive simulation study and in an application to data from an aesthetics study. This simulation study shows that the proposed test is able to detect differences between average rankings and performs well even in situations in which the disagreement is comparably small or the intra-group concordance is inhomogeneous.     

企业竞争与顾客矩阵

借用西方企业竞争战略的分析工具——顾客矩阵 ,探讨了中国企业实现可持续竞争优势的策略选择 ,即构造自己的顾客矩阵 ,并阐述了构造顾客矩阵的基本步骤和方法。     

关于一种竞赛图和(0,1)——矩阵的有关问题的猜想

本文首先提出了关于一种竞赛图Ｄ的两个猜想：（１） 这种竞赛图是哈密尔顿图;（２） Ｄ的邻接矩阵Ａ（Ｄ）是满秩的。然后,证明了当Ｄ的顶点个数ｎ＝ ３ 和ｎ＝ ５ 时,这两个猜想都成立。     

Haddon矩阵模型在技巧啦啦队训练损伤防范中的运用

本文应用Haddon矩阵模型理论对技巧啦啦队训练伤害的防范进行研究。试图以新的视角寻找损伤防范的规律,建立新的啦啦队训练赛事精准分析矩阵模型,将弥补技巧啦啦队训练伤害防范中的理论空白。并依据新矩阵模型,研究从运动者、物理环境、社会环境以及媒介四个方面提出减少训练损伤的方法。     

Toeplitz矩阵的性质及其应用

运用矩阵方法,研究了特殊的Toeplitz矩阵A和n阶幂零矩阵在相似变换下的广义逆,得到了Toeplitz矩阵的一些性质,并用这些性质刻画了幂零矩阵A在相似变换下的广义逆的表达形式.     

中国城乡居民代际收入流动分析

利用CGSS提供的中国28个省区微观调查数据,应用Atkinson回归模型和转移矩阵两种度量代际收入流动性的方法,研究了中国2005年的城乡居民代际收入流动性及其影响因素。研究发现：代际收入在不同的分类下流动弹性并不大,其中城市的流动高于农村;东、中、西部的流动弹性呈现逐渐递减趋势。利用转移矩阵对流动性进行测度,研究表明：总体的代际收入流动有一种保持效应,即从最低等级转向高一等级的概率较小,从最高等级转向低一等级的概率也较小,总体的不同等级间的流动性较差。性别、年龄、受教育年限和家庭背景对个人收入的高低起着积极的作用。