论文标题
连续响应的潜在特征项目响应模型
Latent Trait Item Response Models for Continuous Responses
论文作者
论文摘要
为连续响应提供了潜在特质项目响应模型的一般框架。与传统上区分真实分数和错误得分的古典测试理论模型相反，这些响应与潜在特征明显相关。结果表明，经典测试理论模型可以作为特殊情况得出，但模型类较宽。它特别是对响应的适当建模，这些响应以某种方式受到限制，例如，如果响应是正面的或仅限于间隔。这种限制很容易被纳入建模框架中。通常在建模李克特型数据时，通常会在公共模型中忽略限制间隔的限制。该模型还扩展了常见的响应时间模型，可以将其视为特殊情况。得出了模型类的属性，并研究了总分的作用，从而导致总分改变。几种应用程序说明了模型的使用，其中包括一个示例，其中可能会考虑可以修改响应的协变量。
A general framework of latent trait item response models for continuous responses is given. In contrast to classical test theory models, which traditionally distinguish between true scores and error scores, the responses are clearly linked to latent traits. It is shown that classical test theory models can be derived as special cases but the model class is much wider. It provides, in particular, appropriate modelling of responses that are restricted in some way, for example, if responses are positive or are restricted to an interval. Restrictions of this sort are easily incorporated in the modeling framework. Restriction to an interval is typically ignored in common models yielding inappropriate models, for example, when modeling Likert-type data. The model also extends common response time models, which can be treated as special cases. Properties of the model class are derived and the role of the total score is investigated, which leads to a modified total score. Several applications illustrate the use of the model including an example, in which covariates that may modify the response are taken into account.
