Examples of the use of an equivalence theorem in constructing optimum experimental designs for random-effects nonlinear regression models

The problem considered is that of finding an optimum measurement schedule to estimate population parameters in a nonlinear model when the patient effects are random. The paper presents examples of the use of sensitivity functions, derived from the General Equivalence Theorem for D-optimality, in the construction of optimum population designs for such schedules. With independent observations, the theorem applies to the potential inclusion of a single observation. However, in population designs the observations are correlated and the theorem applies to the inclusion of an additional measurement schedule. In one example, three groups of patients of differing size are subject to distinct schedules. Numerical, as opposed to analytical, calculation of the sensitivity function is advocated. The required covariances of the observations are found by simulation.     

On Rao score and PearsonX 2 statistics in generalized linear models

The identity of the Rao score and PearsonX ² statistics is well known in the areas where the latter was first introduced: goodness-of-fit in contingency tables and binary responses. We show in this paper that the same identity holds when the two statistics are used for testing goodness-of-fit of Generalized Linear Models. We also highlight the connections that exist between the two statistics when they are used for the comparison of nested models. Finally, we discuss some merits of these unifying results. Work financially supported by cofin. MIUR grants 2000 and 2002.     

D-efficient window experimental designs

In the paper we present a new method of calculating sampling intervals, so-called windows, allowing an experimenter some flexibility in timing the sample collection, while a minimum required design efficiency for parameter estimation is assured. The method is based on the Equivalence Theorem for D-optimality what makes the length of each window related to the parameter sensitivities. An example of calculating the windows in a pharmacokinetic study is presented. Some other methods of calculating efficient sampling windows are briefly discussed.     

The sensitivity of income polarization

This study looks at polarization and its components’ sensitivity to assumptions about equivalence scales, income definition, ethical income distribution parameters, and the income accounting period. A representative sample of Danish individual incomes from 1984 to 2002 is utilised. Results show that polarization has increased over time, regardless of the applied measure, when the last part of the period is compared to the first part of the period; primary causes being increased inequality (alienation) and faster income growth among high incomes relative to those in the middle of the distribution. Increasing the accounting period confirms the reduction in inequality found for shorter periods, but polarization is virtually unchanged, because income group identification increases. Applying different equivalence scales does not change polarization ranking for different years, but identification ranks are affected. The welfare state considerably reduces income polarization and inequality, but at the expense of some more identification.      

从功能对等角度分析《水浒传》英译本中常见修辞手法的处理——以登特·杨的译本为例

《水浒传》中运用了大量的修辞手法,在增加了艺术感染力的同时,也给小说的翻译增添了难度。奈达的功能对等,是指译文对译文接受者所起的作用与原文对原文接受者所起的作用大体对等。本文以登特．杨父子合译的《水浒传》新译本为例,运用奈达的功能对等理论,对《水浒传》英译本中常见修辞手法的翻译处理进行分析。     

On Bayesian D-optimum Design Criteria and the Equivalence Theorem in Non-linear Models

The concavity of some Bayesian D -optimality criteria is investigated and is found in some cases to depend on the prior distribution. In the case of a non-concave criterion, the standard equivalence theorem may fail, but a local version continues to apply.     

On the efficiency of two-stage and three-stage least squares estimators

This paper utilizes the results of Kruskal (1968), Zyskind (1967), and more recently Milliken and Albohali (1984) to derive a simple necessary and sufficient condition for 3SLS to be equivalent to 2SLS. This condition depends upon the inverse of the variance:covariance matrix of the disturbances, and the set of second stage regressors of each structural equation. More importantly, this condition should prove useful for econometric students and provides an easy method for checking sufficiency.     

Construction of some compound criteria via A-optimality

Abstract

This paper is devoted to attain multiple objects via proposing two compound optimality criteria constructed with A-optimality criterion. The offered compound criteria are ADP-optimality to seek about an optimal design for minimizing the average variance, having an efficient parameter estimates, likewise, maximizing the probability of a particular event and AKL-optimality that provides an identified balance between model discrimination and minimizing the average variance of the parameter estimates. The equivalence theorems are stated and proved. Finally, a numerical example is applied on probit GLMs to illustrate the results for both compound criteria.     

D-Optimum Designs for Optimum Mixture in a Quadratic Log Contrast Model

Optimal designs for estimating the optimum mixing proportions in a quadratic mixture model was first investigated by Pal and Mandal (2006). In this article, similar investigation is carried out when mean response in a mixture experiment is described by a quadratic log contrast model. It is found that in a symmetric subspace of the finite dimensional simplex, there exists a D-optimal design that puts weights at the centroid of the sub-space and the vertices of the experimental domain. The optimality is checked by numerical computation using Equivalence Theorem.     

奈达功能对等理论视角下《简·爱》三个中译本修辞手法翻译的比较

本文运用尤金.奈达的功能对等理论分析比较了文学作品《简·爱》中常用的几种修辞手法:拟人、明喻、暗喻、夸张、反讽、提喻、重复和排比的翻译。有的修辞方法可以直译并对译语读者产生同样的效果,有的则需要进行适当的改动来适应译本的风格。具体选用那种方法则取决于修辞手法在译语中被接受的程度。因此,译者不仅要能够识别各种不同的修辞手法,还必须理解其语义功能和风格特点。只要修辞手法能够自然地融入译语,并且其本意不受影响,那么就应该保留其本来的形式。