Teacher interactions around instructional practices have been a topic of study for a long time. Previous studies concerning such interactions have focused on questions pertaining to cross-sectional networks. In fact, very few studies have considered longitudinal networks and still fewer have employed longitudinal network models to study changes in such interactions. We analyse teachers’ advice-seeking networks, observed annually between 2010 and 2013, in schools within a district where several initiatives were implemented starting in 2011. We assess whether formal structures, teaching assignment and leadership position, and teacher characteristics, gender and experience, are associated with advice-seeking ties, and the extent to which these associations change over time. To analyse the advice-seeking networks, we implement a Bayesian longitudinal latent space network model with covariates and random sender-receiver effects. Within the Bayesian framework, we address practical aspects of a principled network analysis such as missing ties and yearly immigration and emigration of teachers. Goodness of model fit assessment is conducted using posterior predictive checks. Our results demonstrate that while some of the associations between observed covariates and teachers’ interactions varied in 2011, most were otherwise stable. In 2011, we found decreases in the associations with same grade assignment, leadership position, and teaching in the same school.

中文翻译：

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实施高风险测试后的纵向咨询网络分析

长期以来，围绕教学实践的教师互动一直是研究的主题。以前关于这种相互作用的研究集中在与横截面网络有关的问题上。事实上，很少有研究考虑纵向网络，而且很少有研究采用纵向网络模型来研究这种相互作用的变化。我们分析了 2010 年至 2013 年间每年在一个地区内的学校中观察到的教师咨询网络，该地区的学校从 2011 年开始实施了多项举措。与寻求建议的联系以及这些联系随时间变化的程度有关。分析咨询网络，我们实现了具有协变量和随机发送接收器效应的贝叶斯纵向潜在空间网络模型。在贝叶斯框架内，我们解决了原则网络分析的实际问题，例如缺失的联系以及教师的年度移民和移民。模型拟合优度评估是使用后验预测检查进行的。我们的结果表明，虽然观察到的协变量和教师互动之间的一些关联在 2011 年有所不同，但大多数是稳定的。2011 年，我们发现同年级分配、领导职位和在同一学校任教的关联减少。我们解决了原则性网络分析的实际问题，例如缺失的关系以及教师的年度移民和移民。模型拟合优度评估是使用后验预测检查进行的。我们的结果表明，虽然观察到的协变量和教师互动之间的一些关联在 2011 年有所不同，但大多数是稳定的。2011 年，我们发现同年级分配、领导职位和在同一学校任教的关联减少。我们解决了原则性网络分析的实际问题，例如缺失的关系以及教师的年度移民和移民。模型拟合优度评估是使用后验预测检查进行的。我们的结果表明，虽然观察到的协变量和教师互动之间的一些关联在 2011 年有所不同，但大多数是稳定的。2011 年，我们发现同年级分配、领导职位和在同一学校任教的关联减少。