Differentiating categorical and dimensional data with taxometric analysis: are two variables better than none?

@article{Ruscio2011DifferentiatingCA,
  title={Differentiating categorical and dimensional data with taxometric analysis: are two variables better than none?},
  author={John Ruscio and Glenn D. Walters},
  journal={Psychological assessment},
  year={2011},
  volume={23 2},
  pages={
          287-99
        }
}
Taxometric analyses have proven helpful for distinguishing categorical and dimensional data. Many taxometric procedures require at least 3 variables for analysis. What if a construct is defined by only 2 conceptually nonredundant characteristics or a data set contains only 2 empirically nonredundant variables? In Study 1, we performed extensive simulations to determine whether informative results can be obtained when only 2 variables are available for taxometric analysis. The mean above minus… 

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