Influence diagnostics in constrained general linear models

ABSTRACT

Constrained general linear models (CGLMs) have wide applications in practice. Similar to other data analysis, the identification of influential observations that may be potential outliers is an important step beyond in the CGLMs. We develop multiple case-deletion diagnostics for detecting influential observations in the CGLMs. The diagnostics are functions of basic building blocks: studentized residuals, error contrast matrix, and the inverse of the response variable covariance matrix. The basic building blocks are computed only once from the complete data analysis and provide information on the influence of the data on different aspects of the model fit. Computational formulas are given which make the procedures feasible. An illustrative example with a real data set is also reported.     

A two-stage design for multivariate estimation of proportions

ABSTRACT

In this article, the problem of estimation of the several proportions of two inter-dependent sensitive characteristics prevailing in a given population is considered. A new two-stage randomized response model has been proposed by extending Lee et al.’s (2013 Lee, C., Sedory, S., Singh, S (2013). Estimation at least seven measures of qualitative variables from a single sample using randomized response technique. Stat. Probab. Lett. 83(1):399–409.[Crossref], [Web of Science ®] , [Google Scholar]) model. The expressions for biases, variances, and mean square errors of different estimators have been provided. The relative efficiency comparisons of the proposed estimators has been made, numerically by considering the different practicable choices of the design parameters. It was observed that the proposed extended version performs efficiently than simple and crossed models of Lee et al. (2013 Lee, C., Sedory, S., Singh, S (2013). Estimation at least seven measures of qualitative variables from a single sample using randomized response technique. Stat. Probab. Lett. 83(1):399–409.[Crossref], [Web of Science ®] , [Google Scholar]).     

The generalised inverse form of canonical correlation

The generalised inverse equations for the canonical correlation problem are derived using a minimum distance principle which-is shown to be equivalent to the usual maximum correlation formulation.     

Distance Between Random Points in Two Rectangular Cities

ABSTRACT

The travel distance between two cities of rectangular shape is considered. Two uniformly distributed random points, one from each city, are taken. Their straight path travel distance is then measured. The explicit forms for the probability density function of this distance and its expected value are obtained. Numerical results of calculating the exact expected distance and the estimated distance as well as computer simulation are given for various cases. The integer moments of the distance are also discussed.     

Regression and ICOMP—A Simulation Study

A regression simulation study investigates the behaviour of ICOMP, AIC, and BIC under various collinearity-, sample size-, and residual variance-levels. When the variation in the design matrix is large, as the collinearity levels in the design matrix increased, the agreement percentages for all of the information criteria decreased monotonically and that ICOMP agreed with the Kullback Leibler model more often. As the residual variance increases, the agreement percentages of all of the information criteria decreases. However, as the sample size increased the agreement percentages of all information criteria increased. When the variation in the design matrix is low and the collinearity is low, as the residual variance increases, the agreement percentages for all of the information criteria decreases monotonically such that ICOMP agreed more often with Kullback Leibler model than both AIC and BIC.     

汉语反身代词的约束问题探析

本文从汉语反身代词的分类及特性人手,分析了制约理论、阻断效应及约束理论框架内的三种修正方案及其局限性,指出单从句法层面分析难以全面、合理和清晰地解决反身代词自己的照应问题,应当针对不同的语言环境,有时还得参考具体语境引入语用分析。     

一种提高移动式超声波测距系统测距精度的方法

本文分析了移动式超声波测距系统相对被测目标静止及运动测距时,影响测距精度的诸多因素,阐述了相关参数算法及测距系统对回波信号的检测与数据处理的过程。经实际系统测试,其测距精度大有提高,表明了该系统实际应用的可行性。     

老人的居住模式与子女的赡养行为

本文使用2006年全国社会综合调查的抽样数据,分析了老年人的居住模式、与子女的居住距离和儿女数量对子女赡养行为的影响。研究发现,老人的居住模式和居住距离并不明显影响子女给予的经济支持,但会影响子女在日常照料和情感慰藉方面给予的支持。有同住子女的父母可以得到子女更频繁的关心和照顾,而空巢家庭的父母从子女处获得的日常照料和经济支持则较少;子女居住得离父母越近,则越经常给予父母日常照料和情感慰藉。研究也发现,子女给予父母各方面照料的频繁程度不受兄弟姐妹数量的影响,独生子女并不比非独生子女更频繁地照顾父母。     

诗歌翻译的审美距离

诗歌翻译过程中有五个方面的因素会影响译诗实现原诗的审美饱和度:首先是两个文本兴发方式的差异;其次,近譬式与远譬式取材方式的不同;其三,译者客观性的"之谓"式表述方式和主观性的"谓之"式表述会影响原诗和译诗之间的审美距离;其四,对诗歌器用审美结构的调整也会造成原诗和译诗在审美旨趣上的差异;最后,"明辨"式或"忘言"式的诗歌语言表征会对诗言与诗意之间的审美距离产生影响。