A Poisson-Gamma model for speed tests
A Poisson-Gamma model for speed tests
复制标题
用于速度测试的泊松伽玛模型
DOI：
--
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
F. Kamphuis
中科院分区：
文献类型：
--
作者：
N. Verhelst;F. Kamphuis
本报告讨论了最初由Rasch开发的计数的泊松计量模型的两个应用。为了解释潜变量的分布，假设了伽马分布。详细讨论了测量模型和分布模型的参数估计。在第一个应用中，对模型的技术读数进行了集体测试，对观测数据进行了很好的测试。在第二个申请中，发现了一个单独的技术阅读测试很差。将分布模型推广到两个伽马变量的混合体，得到了一个很好的t。关键词：泊松模型、伽玛分布、潜类模型、信度1导论本报告的主要目的是对纯速度测试的心理测量模型进行研究。速度测试可以分为两大类。在第一种类型中，被测试者正在执行给定的任务，基本的观察是完成该任务所需的时间。第二种类型原则上包括执行一系列子任务，基本结果是在给定时间段内完成的子任务的数量。我们感谢Niels Veldhuijzen对手稿的仔细阅读和106条改进建议。
The present report discusses two applications of the Poisson measurement model for counts as originally developed by Rasch. To account for the distribution of the latent variable, a gamma distribution is hypothesized. Parameter estimation for the measurement model and for the distribution model are discussed in detail. In the rst application a collective test for technical reading the model ts the observed data very well. In the second application an individual test for technical readingpoor t was found. Extending the distribution model to a mixture of two gamma variables leads to an excellent t. Special attention is given to the estimation of the reliability. Key words: Poisson model, gamma distribution, latent class models, reliability 1 Introduction The main purpose of this report is to present an investigation on a psychometric model for pure speed tests. Speed tests can be categorized in two main types. In the rst type, the testee is performing a given task, and the basic observation is the time needed to nish the task. The second type consists of performing an, in principle innite, series of subtasks, and the basic outcome is the number of subtasks nished within a given time period. The We are indebted to Niels Veldhuijzen for his careful reading of the manuscript and the 106 suggestions for improving it.