An Orthogonality‐Based Estimation of Moments for Linear Mixed Models

Abstract. Estimating higher‐order moments, particularly fourth‐order moments in linear mixed models is an important, but difficult issue. In this article, an orthogonality‐based estimation of moments is proposed. Under only moment conditions, this method can easily be used to estimate the model parameters and moments, particularly those of higher order than the second order, and in the estimators the random effects and errors do not affect each other. The asymptotic normality of all the estimators is provided. Moreover, the method is readily extended to handle non‐linear, semiparametric and non‐linear models. A simulation study is carried out to examine the performance of the new method.     

Studying the dependence between ordinal-nominal categorical variables via orthogonal polynomials

In situations where the structure of one of the variables of a contingency table is ordered recent theory involving the augmentation of singular vectors and orthogonal polynomials has shown to be applicable for performing symmetric and non-symmetric correspondence analysis. Such an approach has the advantage of allowing the user to identify the source of variation between the categories in terms of components that reflect linear, quadratic and higher-order trends. The purpose of this paper is to focus on the study of two asymmetrically related variables cross-classified to form a two-way contingency table where only one of the variables has an ordinal structure.     

“C-S”协同发展的中小学综合督导评估新模式研究

针对中小学综合督导评估存在的问题,构建以促进学校特色发展和可持续发展为宗旨的“C-S”协同发展综合督导评估新模式.该模式通过督导评估理念、内容和流程的重构,超越了强调“全面评估、静态评估,注重‘评’、缺乏‘督’和‘导’”的传统督导评估模式,实现对学校的特色性、发展性督导评估,以专家为核心的民主性、专业性督导评估,以及以整改落实为关键的督导评估,从而整体上提升中小学综合督导评估的实效.     

区域性学业水平测试质量分析——小学数学学业水平检测试卷与课程标准一致性的视角

区域性学业水平测试是地方教育行政部门监测教育质量的重要方法。因此,分析区域性学业水平测试质量就显得十分重要。为此,借鉴韦伯一致性分析模式,对某地区小学数学学业水平检测试卷的质量进行了尝试探究,即从学习领域和年级两个方面分析了区域性小学数学学业水平测试与课程标准的一致性水平状况及特征。同时,还从数与代数、空间与图形、统计与概率、实践与综合应用等学习领域和知识种类、知识深度、知识广度和知识分布平衡性等"一致性维度"进行了归因分析。     

内陆山区中小学教师心理健康观及心理健康教育观的调查报告

运用问卷调查法调查内陆山区中小学教师的心理健康观和心理健康教育观,结果发现：（１）他们已经具备现代健康观念,能够认识到心理健康对现代人全面发展的重要性;（２）他们对心理健康标准、影响心理健康的因素以及心理健康维护方法的认识接近心理学家的认识;（３）多数教师对自己心理健康状态评价良好;（４）多数教师能够认识到学生的孤僻、违纪和攻击行为与心理因素有关;（５）落后地区中小学开展心理健康教育的认识条件已经成熟。     

Martingale generalizations and preservation of martingale properties

This article investigates circumstances under which seven important martingale properties are preserved by the following six martingale generalizations: quasimartingales, amarts, martingales in the limit, games fairer with time, progressive martingales, and eventual martingales.     

“修辞”之“辞”本义谈

对"修辞"之"辞"的本义,至今没有一致的看法.证之以《周易》原文,《说文解字段注》及其它典籍,《说文》中之"辞"应为"说也";《易·乾·文言》中"修辞"之"辞"应是"文辞"、"言说"之义.     

略论斯克里亚宾的晚期和声

斯克里亚宾晚期和声手法是我们研究欧洲19世纪与20世纪之交的音乐发展特点的重要内容之一。这一和声手法具有两个鲜明的特点,一是以个性化的“主和弦”彻底打破了传统调性和声的功能,二是强调和发展了三全音音程在音乐中的作用。     

对我国基础教育"合作学习"有效性的思考

随着我国基础教育新课程标准的逐步实施,"合作学习"已经成为我国基础教育教师普遍采用的教学方式之一.合作学习有效性涵盖合作学习有成效、有效率和有后效等三个层面,必须以动态眼光解读合作学习有效性.确保合作学习有效性,前提是创设合作学习的条件,关键是教师角色定位的正确与作用的发挥,核心是建构多元互动机制.     

Improved Approximation for Breakpoint Graph Decomposition and Sorting by Reversals

Sorting by Reversals (SBR) is one of the most widely studied models of genome rearrangements in computational molecular biology. At present, is the best known approximation ratio achievable in polynomial time for SBR. A very closely related problem, called Breakpoint Graph Decomposition (BGD), calls for a largest collection of edge disjoint cycles in a suitably-defined graph. It has been shown that for almost all instances SBR is equivalent to BGD, in the sense that any solution of the latter corresponds to a solution of the former having the same value. In this paper, we show how to improve the approximation ratio achievable in polynomial time for BGD, from the previously known to for any > 0. Combined with the results in (Caprara, Journal of Combinatorial Optimization, vol. 3, pp. 149–182, 1999b), this yields the same approximation guarantee for n! – O((n – 5)!) out of the n! instances of SBR on permutations with n elements. Our result uses the best known approximation algorithms for Stable Set on graphs with maximum degree 4 as well as for Set Packing where the maximum size of a set is 6. Any improvement in the ratio achieved by these approximation algorithms will yield an automatic improvement of our result.