Mathematical Sciences: Random Effect Rasch Models and Nonparametric Mixture Models

顺序分类数据广泛出现在医学诊断测试和态度调查中。调查将进行拟合的Rasch模型，描述这些类型的数据很好。这项工作将为分析社会学数据提供一个统一的结构。利用几何分析对估计量性质的研究有望产生深刻的结果。还将编制计算机代码以方便数值拟合。

Ordinal categorical data occur extensively in medical diagnostic tests, and attitudinal surveys. Investigation will be carried out on fitting the Rasch model which describe these types of data well. The work will provide an unified structure for analyzing sociological data. A study of the properties of the estimators using geometric analysis is expected to yield insightful results. A computer code will also be developed to facilitate the numerical fitting.