【作者】 苗晨；

【导师】 陶剑；

【作者基本信息】 东北师范大学 ， 应用数学， 2008， 硕士

【摘要】 项目反应理论(IRT),也称项目特征曲线理论,它以模型为测量基础,其特质水平的估计取决于个体的反应行为和所测项目本身的属性。项目反应理论建立在潜在特质理论的基础之上,其研究的主要内容就是被试在测验项目上的反应行为与测验所测的被试在特质之间的关系。项目反应理论中的等级反应模型是Samejima于1969年提出来的,它可用来处理两个或更多个等级类别的项目,如对于某些能力测验,往往要求根据被试回答的正确程度(不正确、部分正确、完全正确)分别记为0分、1分、2分。对大学生心理健康状况的评价就应该属于等级反应模型的范畴。随着教育体制改革的深入,大学生心理健康问题逐渐引起了社会各界的广泛关注与忧虑。“健康不仅仅是没有疾病或虚弱,而是身体的、精神的健康和社会适应良好的总称”。这就是说,生理健康和心理健康是密不可分的,二者相辅相成。对大学生心理健康的研究方法多种多样,不胜枚举,定性的研究,定量的解释,同时借助数学的方法去定量研究学生心理健康状况的文章也很多,本文将在项目反应理论(IRT)框架下,就目前广为讨论的大学生心理健康问题提出新的评价方法,也就是利用项目反应理论知识中的等级反应模型,结合问卷调查的方式所得到的数据,对大学生心理健康方面的潜在特质等一些参数进行估计,对大学生心理健康状况进行评估研究。更多还原

【Abstract】 Item Response Theory (IRT), also known as item characteristic curve theory, a model for the measurement basis, the evaluation of trait levels depends on the behavior of individual acts and the characteristics of projects measured. Item Response Theory is built on the basis of potential trait theory. The main content is about the relationship of responsive behavior acted by person who are tested and traits in testing project. Hierarchy model in response in Item Response Theory is put forward by Samejima in 1969. It can be used to deal with two or more types of hierarchy projects, such as certain test ability in which people who tested are graded as 0,1,2 according to the corrective level(wrong, partly right, absolutely right). Evaluation on mental health of college students belongs to the scope of hierarchy model.With the deepening of reform of the education system, mental health problem of a university student has gradually aroused widespread concern and anxiety in every field of society. "Health is not merely the absence of disease or weakness, but is the collection of physical health, mental health and well suitability to the society. That is to say, physical health and mental health are inextricably linked. The two complement each other.Approaches to research on mental health problems of college students are various and numerable. There are many articles about qualitative research, quantitative interpretation and quantitative research on mental health of college students by means of mathematical methods. The paper will focus on new evaluating methods about college students’mental health problem which is widely discussed within the ITR Framework. This method will be used to evaluate parameters of potential traits about college students’mental health based on hierarch responsive model in the theory of project act combining with data got from questionnaires, thus estimating and investigating their condition of mental health.更多还原