Agresti, A. and Caffo, B. (2000) Simple and Effective Confidence Intervals for Proportions and Difference of Proportions Result from Adding Two Successes and Two Failures. The American Statistician, 54, 280-288.

has been cited by the following article:

• TITLE: Multiple Choice Tests: Inferences Based on Estimators of Maximum Likelihood

  AUTHORS: Pedro Femia-Marzo, Antonio Martín-Andrés

  KEYWORDS: Model Delta, Multiple-Choice Tests, Agreement, Guessing

  JOURNAL NAME: Open Journal of Statistics, Vol.4 No.6, August 27, 2014

  ABSTRACT: 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