Abstract
The adjusted Rand index is widely used in connection with the free sorting task to assess the degree of association between two partitions of a set of stimuli. A hypothesis testing framework regarding the significance of this index is set up. It consists in a permutation test which involves the simulation of a large number of partitions from the original two partitions being compared. However, since this strategy of analysis may be time consuming, an alternative method is also proposed. It is based on statistical properties regarding the distribution of the values generated by the procedure of permutation. The two strategies of analysis are illustrated and compared on the basis of free sorting data and a simulation study.
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