Multidimensional unfolding: the latitude of acceptance and the structure of the single peaked response process in a multidimensional space

接受度和构成单峰反应过程的操作功能直到最近才被理解为衡量态度、偏好和选择的一维模型的核心。它们在多维模型中被忽略了。该项目将在一个多维空间中形式化这两个中心组件。操作函数控制着任何物品与人之间的距离和接受度之间的关系，它定义了一个多维度的超空间，在这个超空间中，更积极的回应更有可能出现。该项目将阐明和操作这些模型，用于从排名到成对偏好的一系列典型响应格式。

The latitude of acceptance and the operational function that structures the single peaked response process have only recently been understood as central to unidimensional models for the measurement of attitude, preference and choice. They have been neglected in multidimensional models. This project will formalise these two central components in a multidimensional space. The operational function governs the relationship between any item-person distance and the latitude of acceptance defines a multidimensional hyper-sphere within which the more positive response is more likely. The project will articulate and operationalise these models for a range of typical response formats from ranking to pairwise preferences.