Optimal 3×3 factorial and 3-ray designs for drug interaction experiments with dichotomous responses

The only information available to an investigator designing an initial combination drug study is for each drug used singly. The designs that we investigated are constructed using this information. Within the major body of the paper we consider experiments using nine points arrived at from 3x3 factorial and 3-ray design plans for which D-optimal solutions are obtained under the hypothesis of no interaction.     

A characterization of some {3v1 + v3, 3v0 + v2; 3, 3}-minihypers and its applications to error-correcting codes

Recently, Hamada et al. (Des. Codes Cryptogr. 2(1992), 225–229) showed that there exists an [87,5,57;3]-code meeting the Grismer bound. But it is unknown whether or not an [87,5,57;3]-code is unique up to equivalence. In order to characterize all [87,5,57;3]-codes, it is sufficient to characterize all {2v₂ + 2v₃,2v₁ + 2v₂; 4, 3}-minihypers and in order to characterize all {2v₂ + 2v₃,2v₁ + 2v₂;4,3}-minihypers, it is necessary to characterize all {3v₁ + v₃,3v₀ + v₂;3,3}-minihypers, where v₀ = 0, v₁ = 1, v₂ = 4 and v₃ = 13 (cf. Hamada and Helleseth, J. Statist. Plann. Inference, 56 (1996)). The purpose of this paper is to characterize all {3v₁ + v₃,3v₀ + v₂;3,3}-minihypers.     

A characterization of some {3v2 + v3, 3v1 + v2; 3, 3}-minihypers and some [15, 4, 9; 3]-codes with B2 = 0

It is known (cf. Hill and Newton (Ars Combin., 25A (1988), 61–72; Designs Codes Cryptography, 2 (1992), 137–157) and Remark A.2 in the Appendix) that (1) there is no [14, 4, 9; 3]-code meeting the Griesmer bound and (2) if C is a [15, 4, 9; 3]-code then B₂ = 0 or 2 and (3) there is a one-to-one correspondence between the set of all nonequivalent [15, 4, 9; 3]-codes with B₂ = 0 and the set of all {3v₂ + v₃, 3v₁ + v₂: 3, 3}-minihypers, where v₁ = 1, v₂ = 4, v₃ = 13 and B₂ denotes the number of codewords of weight 2 in its dual code. Recently it has been shown by Eupen and Hill (Designs Codes Cryptography, 4 (1994) 271–282) that a [15, 4, 9; 3]-code with B₂ = 2 is unique up to equivalence. The purpose of this paper is to characterize all [15, 4, 9; 3]-codes with B₂ = 0 using the geometrical structure of the corresponding {3v₂ + v₃, 3v₁ + v₂; 3, 3}-minihypers. Those results give a complete characterization of [15, 4, 9; 3]-codes.     

Regression and correlation for 3 × 3 rotation matrices

This paper investigates a regression model for orthogonal matrices introduced by Prentice (1989). It focuses on the special case of 3 × 3 rotation matrices. The model under study expresses the dependent rotation matrix V as A₁UA^t₂ perturbed by experimental errors, where A₁ and A₂ are unknown 3 × 3 rotation matrices and U is an explanatory 3 × 3 rotation matrix. Several specifications for the errors in this regression model are proposed. The asymptotic distributions, as the sample size n becomes large or as the experimental errors become small, of the least squares estimators for A₁ and A₂ are derived. A new algorithm for calculating the least squares estimates of A₁ and A₂ is presented. The independence model is not a submodel of Prentice's regression model, thus the independence between the U and the V sample cannot be tested when fitting Prentice's model. To overcome this difficulty, permutation tests of independence are investigated. Examples dealing with postural variations of subjects performing a drilling task and with the calibration of a camera system for motion analysis using a magnetic tracking device illustrate the methodology of this paper.     

知识解码(三)生命进化知识解码(下)

生物的进化就“进化论”观点而言,生物任何微小的变化都可称为“进化”,所有生物都是藉由自然过程演进而来,是时间加上机率,不涉及超自然力或精心设计,不断由简而繁的传承及发展。这些自然进化过程是物理的交互作用和化学反应,像突变、自然淘汰、环境变化等因素所造成。另可更精确的说,在实验室中能观察到小范围的生物进化,称为“微进化”。而大范围、跨种间的进化为“广进化”,包括突变、自然淘汰、环境变化及其他因素逐渐衍生出复杂的生物(含人类)之过程。至于“进化”动力从何而来？主要有“生机论”、“唯物论”及“有机生物论…     

用COOL 3D快速创建三维动态字幕

文章简单介绍了COOL 3D三维动态字幕制作软件的使用方法、基本特点及一些小的技巧,为广大电脑爱好者制作三维动画提供了一种新的思路.     

SCOAP3 and Open Access

SCOAP3 is an innovative Open Access initiative for publishing in high-energy physics. The model is viewed by many as a potential solution to multiple issues related to the financial crisis, the peer review system, scholarly communication, and the need to support institutional repositories. This installment of “The Balance Point” presents articles written by three Open Access advocates, outlining the SCOAP3 proposal, benefits of participation, and some of the roles libraries, publishers and scientists can play in making important changes to scholarly communication. Contributors discuss scalability and transferability issues of SCOAP3, as well as other matters of concern.     

SCOAP3 and Open Access

Abstract

SCOAP3 is an innovative Open Access initiative for publishing in high-energy physics. The model is viewed by many as a potential solution to multiple issues related to the financial crisis, the peer review system, scholarly communication, and the need to support institutional repositories. This installment of “The Balance Point” presents articles written by three Open Access advocates, outlining the SCOAP3 proposal, benefits of participation, and some of the roles libraries, publishers and scientists can play in making important changes to scholarly communication. Contributors discuss scalability and transferability issues of SCOAP3, as well as other matters of concern.     

On disjoint (3t, 3, 1) cyclic difference families

We give a new and easier proof of the existence of a disjoint (3t  , 3, 1) cyclic difference family for every t>3$t>3$, first proved by Dinitz and Shalaby (2002). Our purely theoretical construction is still elementary but simpler and does not need to be checked by computer.     

Supersaturated designs of projectivity P=3 or near P=3

Supersaturated designs offer a potentially useful way to investigate many factors in few experiments i.e. typical screening situations. Their design properties have mainly been evaluated based on their ability to identify and estimate main effects. Projective properties have received little attention. In this paper we show how to construct two-level supersaturated designs for 2(n−2) factors in n runs (n a multiple of four) of projectivity P=3 or near projectivity P=3 from orthogonal non-regular two-level designs. The designs obtained also have favourable properties such as low maximum absolute value of the inner product between a main effect column and a two-factor interaction column and relatively few types of different projections onto subsets consisting of three factor columns.     

Tucker3 Model for Compositional Data

For the exploratory analysis of three-way data, the Tucker3 is one of the most applied models to study three-way arrays when the data are quadrilinear. When the data consist of vectors of positive values summing to a unit, as in the case of compositional data, this model should consider the specific problems that compositional data analysis brings. The main purpose of this paper is to describe how to do a Tucker3 analysis of compositional data, and to show the relationships between the loading matrices when different preprocessing procedures are used.     

Classification of three-level strength-3 arrays

Generalized aberration (GA) is one of the most frequently used criteria to quantify the suitability of an orthogonal array (OA) to be used as an experimental design. The two main motivations for GA are that it quantifies bias in a main-effects only model and that it is a good surrogate for estimation efficiencies of models with all the main effects and some two-factor interaction components. We demonstrate that these motivations are not appropriate for three-level OAs of strength 3 and we propose a direct classification with other criteria instead. To illustrate, we classified complete series of three-level strength-3 OAs with 27, 54 and 81 runs using the GA criterion, the rank of the matrix with two-factor interaction contrasts, the estimation efficiency of two-factor interactions, the projection estimation capacity, and a new model robustness criterion. For all of the series, we provide a list of admissible designs according to these criteria.     

Generalized neighbor designs with block size 3

A generalized neighbor design relaxes the equality condition on the number of times two treatments as neighbors in the design. In this article, we have considered the construction of some classes of generalized neighbor designs with block size k=3 by using the method of cyclic shifts. The distinguishing feature of this construction method is that the properties of a design can easily be obtained from the sets of shifts instead of constructing the actual blocks of the design. A catalog of generalized neighbor designs with block size k=3 is compiled for v∈{5,6,…,18} treatments and for different replications. We provide the reader with a simpler method of construction, and in general the catalog that gives an open choice to the experimenter for selecting any class of neighbor designs.     

Independent Quadratic Forms in 3-Variance-Component Models

This article addresses derivation and existence of quadratic forms that were suggested by Burch (2007 Burch , B. D. ( 2007 ). Generalized confidence intervals for proportions of total variance in mixed linear models . J. Statist. Plann. Infer. 137 : 2394 – 2404 .[Crossref], [Web of Science ®] , [Google Scholar]) for procedures for inference on variance components in mixed linear models in combination with generalized fiducial inference. A relatively simple algorithm leading to the required quadratic forms in a general 3-variance-component model is stated and designs for two-way ANOVA models without interactions that permit Burch's procedure are characterized. This complements developments in the original article by Burch.     

用3com交换机构建证券公司千兆容错交易网络

文章从证券公司网络现状出发,在用户需求分析的基础上,提出以3COM交换机构建证券公司千兆容错交易网络系统的实现方法,并阐述系统的结构设计和功能设计.