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

多维展开：多维空间中的接受纬度和单峰响应过程的结构

• 批准号: DP0452696
• 负责人: Prof David Andrich
• 金额: $ 2.05万
• 依托单位: Murdoch University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2004
• 资助国家: 澳大利亚
• 起止时间: 2004-01-01 至 2004-12-13
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0452696
• 关键词: Multidimensional; unfolding; latitude; acceptance; structure

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.

接受的纬度和结构的单峰响应过程的操作功能，直到最近才被理解为中央的一维模型的态度，偏好和选择的测量。它们在多维模型中被忽略了。这个项目将正式这两个核心组成部分在一个多维空间。运算函数决定了任何物品与人之间的距离和接受度之间的关系，定义了一个多维超球面，在这个超球面内，更积极的反应更有可能。 该项目将阐明和操作这些模型的一系列典型的响应格式，从排名成对的偏好。