Title: A practical guide and software for analysing pairwise comparison experiments,
Abstract: Most popular strategies to capture subjective judgments from humans involve
the construction of a unidimensional relative measurement scale, representing
order preferences or judgments about a set of objects or conditions. This
information is generally captured by means of direct scoring, either in the
form of a Likert or cardinal scale, or by comparative judgments in pairs or
sets. In this sense, the use of pairwise comparisons is becoming increasingly
popular because of the simplicity of this experimental procedure. However, this
strategy requires non-trivial data analysis to aggregate the comparison ranks
into a quality scale and analyse the results, in order to take full advantage
of the collected data. This paper explains the process of translating pairwise
comparison data into a measurement scale, discusses the benefits and
limitations of such scaling methods and introduces a publicly available
software in Matlab. We improve on existing scaling methods by introducing
outlier analysis, providing methods for computing confidence intervals and
statistical testing and introducing a prior, which reduces estimation error
when the number of observers is low. Most of our examples focus on image
quality assessment.