Multiple Choice Tests: Inferences Based on Estimators of Maximum Likelihood

• 作者: Antonio Martín-Andrés Pedro Femia-Marzo
• 来源期刊: 统计学期刊(英文)
• 学科: 医学
• 关键词: Model DELTA Multiple-Choice TESTS AGREEMENT Guessing
• 年，卷（期）: 2014,（6）
• 页码范围: 466-483
• 页数: 18页
• 分类号: R73

摘要

This paper revises and expands the model Delta for estimating the knowledge level in multiple choice tests (MCT). This model was originally proposed by Martín and Luna in 1989 (British Journal of Mathematical and Statistical Psychology, 42: 251) considering conditional inference. Consequently, the aim of this paper is to obtain the unconditioned estimators by means of the maximum likelihood method. Besides considering some properties arising from the unconditional inference, some additional issues regarding this model are also going to be addressed, e.g. test-inversion confidence intervals and how to treat omitted answers. A free program that allows the calculations described in the document is available on the website http://www.ugr.es/local/bioest/Delta