Francis, Brian and Davies, Elouise (2019) Bilinear models for scaling and score building: when should they be used? In: Correspondence Analysis and Related Methods 2019, 2019-02-042019-02-06.
Full text not available from this repository.Abstract
This talk looks at the utility of bilinear models for score building in contingency tables and contrasts it with the correspondence analysis approach. The groundwork for using bilinear models for score building was laid down by Clogg(1982), who specified a set of rules for the instrumental variable against which the target variable is classified. Typical bilinear models used for this purpose include the logmultiplicative model and the correspondence analysis model. While this approach seems at first sight to be promising, there are issues relating to empty cells and sample size which often mean that the model fails to form exactly as intended. We discuss whether Clogg’s rules need extending and determine whether similar rules are needed for correspondence analysis. An example is used from the problem of scaling crime harm and impact from survey data. Clogg, C. (1982) Using Association Models in Sociological Research: Some Examples. American Journal of Sociology Vol. 88(1) 114-134