The Cost of Dichotomization. Cohen, J Applied Psychological Measurement, 7(3):249–253, 1983. ISBN: 0146621683007![The Cost of Dichotomization [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex Assuming bivariate normality with correlation r, dichotomizing 1 variable at the mean results in the reduction in variance accounted for to .647r-2; and dichotomizing both at the mean, to .405r-2. These losses, in turn, result in reduction in statistical power equivalent to discarding 38% and 60% of the cases under representative conditions. As dichotomization departs from the mean, the costs in variance accounted for and in power are even larger. Consequences of this practice in measurement applications are considered. (4 ref) (PsycINFO Database Record (c) 2005 APA, all rights reserved).
@article{cohen_cost_1983,
title = {The {Cost} of {Dichotomization}},
volume = {7},
issn = {01466216},
url = {http://apm.sagepub.com/cgi/doi/10.1177/014662168300700301},
doi = {10.1177/014662168300700301},
abstract = {Assuming bivariate normality with correlation r, dichotomizing 1 variable at the mean results in the reduction in variance accounted for to .647r-2; and dichotomizing both at the mean, to .405r-2. These losses, in turn, result in reduction in statistical power equivalent to discarding 38\% and 60\% of the cases under representative conditions. As dichotomization departs from the mean, the costs in variance accounted for and in power are even larger. Consequences of this practice in measurement applications are considered. (4 ref) (PsycINFO Database Record (c) 2005 APA, all rights reserved).},
number = {3},
journal = {Applied Psychological Measurement},
author = {Cohen, J},
year = {1983},
note = {ISBN: 0146621683007},
pages = {249--253},
}
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