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