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Modelling changes over time in a multivariate paired comparison: An application to window display design
Statistical Modelling ( IF 1 ) Pub Date : 2021-03-31 , DOI: 10.1177/1471082x21995675
Alexandra Grand 1 , Regina Dittrich 2
Affiliation  

This article proposes an alternative method of making comparative judgements in multivariate paired comparisons (PCs) where judgements about change are made directly by comparing an object at two time points for each of a series of attributes. The application deals with the design of shop window displays where products should be arranged by teams of vocational students according to aesthetic principles (attributes).

The photos of the students’ window displays at time 1 (before feedback) and at time 2 (after feedback) were compared by judging each attribute as to whether it was fulfilled better at time 1 or at time 2. An advantage of this PC approach over an alternative of a scoring system is the possibility to assess even subtle changes of various aspects of attractiveness, which cannot easily be measured using a score. To analyse these data, we used earlier work which developed both a multivariate PC pattern model for multi-attribute data and a PC model over time and defined a multivariate PC model of changes (MPCC). The model can be fitted as a non-standard Poisson log-linear model and provides estimates of change for the three attributes for time 2 and we were able to check for possible interaction effects between these attributes.



中文翻译:

在多变量配对比较中对随时间的变化进行建模:窗口显示设计的一个应用程序

本文提出了一种在多元配对比较(PC)中进行比较判断的替代方法,该方法通过对两个属性的每个时间点的一系列属性进行比较来直接做出有关更改的判断。该应用程序涉及商店橱窗陈列的设计,在该陈列橱中,应由职业学生团队根据审美原则(属性)来安排产品。

通过判断每个属性是在时间1还是在时间2满足得更好,比较了在时间1(反馈之前)和时间2(反馈之后)学生窗口显示的照片。在计分系统的替代方案中,有可能评估吸引力各个方面的细微变化,而这些变化很难用分数来衡量。为了分析这些数据,我们使用了早期的工作,该工作既开发了用于多属性数据的多变量PC模式模型,又开发了随时间推移的PC模型,并定义了多变量PC变化模型(MPCC)。该模型可以拟合为非标准的Poisson对数线性模型,并提供时间2的三个属性的变化估计,我们能够检查这些属性之间可能的交互作用。

更新日期:2021-04-01
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