A note on the universal optimality criterion for full rank models

The aim of this note is to suggest a revised formulation of the universal optimality criterion for full rank models as stated in Kiefer (1975). We have presented the relevant results with indications of some possible applications.     

Search for a majority element

A new short proof of a theorem of Saks and Werman is given about the number of weighings necessary and sufficient to determine a majority type coin among n coins of two possible weights by comparisons. A lower bound on the number of good algorithms is proved and further questions are posed about determining the majority in different weighing models.     

Comparison of designs equivalent under one or two criteria

Two designs equivalent under one or two criteria may be compared under other criteria. For certain configurations of eigenvalues of the information matrices, we decide which design is the better of the two for many other such criteria. The relationship to universal optimality (in the case of equivalence under one criterion) is indicated. For two criteria, applications are given to weighing and treatment-with-covariate settings.     

《论衡》中同义词运用的特色

本文从同义词与反义词的融合使用，相关同义词的汇合辨析，同义词对用，单音复音同义词交替使用等几个方面，探讨了《论衡》一书中同义词运用的特色。     

A note on D-optimal designs for models with and without an intercept

In this paper we give a sufficient condition under which theD-optimal design for a regression model without an intercept can be obtained from theD-optimal design for the corresponding model with an intercept by simply removing the origin from its support points. Examples are given to demonstrate the applications of the results.     

教育评估指标体系中诸因素权重确定的探讨

科学的评估指标体系及其合理的权重值分配直接影响到教育评估中定量评价结果的客观公正性 本文以一《量表》为例 ,提出了科学确定权重值的方法 ,推导了其计算公式 ,并进行了显著性检验     

The return of weighing in pregnancy: A discussion of evidence and practice

BackgroundInadequate or excessive gestational weight gain is associated with both short and long-term adverse maternal and infant health outcomes. The practice of routine maternal weight monitoring has been suggested as an effective health promotion intervention, both as a screening tool for adverse maternal and infant outcomes and as a weight management strategy for addressing gestational weight gain.DiscussionThe effectiveness of routine maternal weighing as part of maternity care has been debated for more than 30 years. The National Health and Medical Research Council of Australia have recently revised their pregnancy care clinical practice guidelines recommending maternal weight monitoring (clinician and/or self-weighing) be reintroduced into clinical practice. This paper presents a timely discussion of the topic that will contribute new insights to the debate.ConclusionWeight gain in pregnancy is complex. Evaluation of the translation, implementation, acceptability and uptake of the newly revised guidelines is warranted, given that evidence on the practice remains inconclusive. Future research exploring social ecological interventions to assist pregnant women achieve optimal gestational weight gains are suggested to expand the evidence base.     

On the optimality of chemical balance weighing designs

In this paper we consider the problem of optimally weighing n objects with N weighings on a chemical balance. Several previously known results are generalized. In particular, the designs shown by Ehlich (1964a) and Payne (1974) to be D-optimal in various classes of weighing designs where N≡2 (mod4) are shown to be optimal with respect to any optimality criterion of Type I as defined in Cheng (1980). Several results on the E-optimality of weighing designs are also given.