Mathematica Ravi Goyal, De Gruttola Victor
Department of Biostatistics, Harvard School of Public Health.
Netw Sci (Camb Univ Press). 2020 Dec;8(4):574-595. doi: 10.1017/nws.2020.24. Epub 2020 Jul 9.
We present a statistical framework for generating predicted dynamic networks based on the observed evolution of social relationships in a population. The framework includes a novel and flexible procedure to sample dynamic networks given a probability distribution on evolving network properties; it permits the use of a broad class of approaches to model trends, seasonal variability, uncertainty, and changes in population composition. Current methods do not account for the variability in the observed historical networks when predicting the network structure; the proposed method provides a principled approach to incorporate uncertainty in prediction. This advance aids in the designing of network-based interventions, as development of such interventions often requires prediction of the network structure in the presence and absence of the intervention. Two simulation studies are conducted to demonstrate the usefulness of generating predicted networks when designing network-based interventions. The framework is also illustrated by investigating results of potential interventions on bill passage rates using a dynamic network that represents the sponsor/co-sponsor relationships among senators derived from bills introduced in the US Senate from 2003-2016.
我们提出了一个统计框架,用于根据人群中社会关系的观察演变生成预测动态网络。该框架包括一个新颖且灵活的程序,用于在给定演化网络属性的概率分布的情况下对动态网络进行采样;它允许使用广泛的方法来对趋势、季节性变化、不确定性和人口构成变化进行建模。当前方法在预测网络结构时没有考虑观察到的历史网络中的变异性;所提出的方法提供了一种在预测中纳入不确定性的原则性方法。这一进展有助于基于网络的干预措施的设计,因为此类干预措施的开发通常需要在有和没有干预的情况下预测网络结构。进行了两项模拟研究,以证明在设计基于网络的干预措施时生成预测网络的有用性。还通过使用一个动态网络来研究对法案通过率的潜在干预结果来说明该框架,该动态网络表示2003年至2016年在美国参议院提出的法案中参议员之间的提案人/共同提案人关系。