Rounding non-binary categorical variables following multivariate normal imputation: evaluation of simple methods and implications for practice

We study bias arising from rounding categorical variables following multivariate normal (MVN) imputation. This task has been well studied for binary variables, but not for more general categorical variables. Three methods that assign imputed values to categories based on fixed reference points are compared using 25 specific scenarios covering variables with k=3, …, 7 categories, and five distributional shapes, and for each k=3, …, 7, we examine the distribution of bias arising over 100,000 distributions drawn from a symmetric Dirichlet distribution. We observed, on both empirical and theoretical grounds, that one method (projected-distance-based rounding) is superior to the other two methods, and that the risk of invalid inference with the best method may be too high at sample sizes n≥150 at 50% missingness, n≥250 at 30% missingness and n≥1500 at 10% missingness. Therefore, these methods are generally unsatisfactory for rounding categorical variables (with up to seven categories) following MVN imputation.     

Sensitivity to imputation models and assumptions in receiver operating characteristic analysis with incomplete data

Modern statistical methods using incomplete data have been increasingly applied in a wide variety of substantive problems. Similarly, receiver operating characteristic (ROC) analysis, a method used in evaluating diagnostic tests or biomarkers in medical research, has also been increasingly popular problem in both its development and application. While missing-data methods have been applied in ROC analysis, the impact of model mis-specification and/or assumptions (e.g. missing at random) underlying the missing data has not been thoroughly studied. In this work, we study the performance of multiple imputation (MI) inference in ROC analysis. Particularly, we investigate parametric and non-parametric techniques for MI inference under common missingness mechanisms. Depending on the coherency of the imputation model with the underlying data generation mechanism, our results show that MI generally leads to well-calibrated inferences under ignorable missingness mechanisms.     

Joint models for multiple longitudinal processes and time-to-event outcome

ABSTRACT

Joint models are statistical tools for estimating the association between time-to-event and longitudinal outcomes. One challenge to the application of joint models is its computational complexity. Common estimation methods for joint models include a two-stage method, Bayesian and maximum-likelihood methods. In this work, we consider joint models of a time-to-event outcome and multiple longitudinal processes and develop a maximum-likelihood estimation method using the expectation–maximization algorithm. We assess the performance of the proposed method via simulations and apply the methodology to a data set to determine the association between longitudinal systolic and diastolic blood pressure measures and time to coronary artery disease.     

Comparing Normal Random Samples,with Uncertainty About the Priors and Utilities

Abstract. We study the problem of deciding which of two normal random samples, at least one of them of small size, has greater expected value. Unlike in the standard Bayesian approach, in which a single prior distribution and a single loss function are declared, we assume that a set of plausible priors and a set of plausible loss functions are elicited from the expert (the client or the sponsor of the analysis). The choice of the sample that has greater expected value is based on equilibrium priors, allowing for an impasse if for some plausible priors and loss functions choosing one and for others the other sample is associated with smaller expected loss.     

无线光码分多址通信系统编码技术研究

介绍了在光码分多址通信系统中常用的几种编码方式,通过分析、比较各自的优缺点,提出了一种比较适合无线光码分多址通信系统的新编码方案,称为双极性码的单极性实现     

Rethinking the nation and international relations: The space of nation states

Efforts to move sociology beyond the nation state and international relations theory have both been plagued by several limitations and dualisms. Recent research has begun to find ways beyond the problems by turning to Pierre Bourdieu's relational conception of social structure and practice. Yet one specific relational structure forming a key part of the puzzle has been neglected or merely implicitly assumed so far: the space of nation states. After clarifying the structural-constructivist nature of this concept, we aim to specify it by constructing an empirical model of the contemporary space of nation states using a specially compiled dataset and tools of geometric data analysis. The analysis reveals the distribution of powers on the world scene, and more specifically, the uneven possession of two varieties of “meta-capital” understood as capacities to regulate the value and exchangeability of certain capitals and to decree what even defines a legitimate “state”. We argue that the nation state, which is accurately understood as a contingent construct and well-founded fiction from a Bourdieusian viewpoint, should not be excluded when analyzing the expression and reproduction of contemporary global power relations.     

吴昌硕花鸟画构图的创新性研究

吴昌硕是近代中国画的一代宗师,是中国诗、书、画、印完美结合的最杰出而又全能的代表画家。他在继承传统的基础上极大地推进了中国传统绘画的现代转型,在花鸟画的构图方面借古开今,取洋而化,为中国画表现语言的丰富与完备做出了独创性的贡献。     

A Game–Theoretic View of the Fiscal Theory of the Price Level

The goal of this paper is to probe the validity of the fiscal theory of the price level by modelling explicitly the market structure in which households and the government make their decisions. I describe the economy as a game, and I am thus able to state precisely the consequences of actions that are out of the equilibrium path. I show that there exist government strategies that lead to a version of the fiscal theory, in which the price level is determined by fiscal variables alone. These strategies are however more complex than the simple budgetary rules usually associated with the fiscal theory, and the government budget constraint cannot be merely viewed as an equilibrium condition.     

一种非正交多址接入下行链路信号检测方法

非正交多址接入（non-orthogonal multiple access,NOMA）下行链路存在严重的多址干扰。软解调-串行干扰消除（successive interference cancellation,SIC）检测方法是一种性能较好的信号检测方法,但是接收机的复杂度比较高。考虑到软解调算法对其他用户信号的信号特征信息并未充分利用,提出一种基于软解调算法改进的联合检测算法,该算法直接利用多用户叠加信号的联合星座图计算用户信号信息比特的软信息,不需要对干扰信号进行检测和重构,可以降低接收机的复杂度。仿真分析表明,与软解调-SIC检测方法相比,联合检测方法在性能损失不超过1．5 dB的情况下,可以将接收机的复杂度降低一半。     

Involving People with Profound and Multiple Learning Disabilities in Social Work Education: Building Inclusive Practice

Abstract

Service user and carer engagement is a foundational requirement of social work education. Despite this, questions remain about how diverse experiences are represented and who might be excluded from involvement. This paper focusses on one group of people who it is suggested are excluded from involvement, people with profound and multiple learning disabilities. Evidence is presented which demonstrates the extent to which this group have been marginalised and excluded from processes of involvement. The paper then provides a case study of one universities’ experience of developing work in this area, when a man with profound and multiple learning disabilities was commissioned to design and deliver specialist teaching for a group of qualifying social work students. We argue that the main barrier to inclusive involvement for people with profound and multiple learning disabilities is the attitudes and assumption of others about what they are capable of. We demonstrate how involvement in social work education helps to address these barriers by challenging the assumptions of students, the academy and society more broadly.