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In economics, polytomous choice is a setting (model) with more than two choices; contrast to dichotomous choice. The use of the term polychotomous is also in common usage in the prior research literature; however, polytomous is the more technically correct spelling.
References
Weiss, David J. (1995). “Polychtomous or Polytomous?,” Applied Psychological Measurement, Vol. 19, No. 1, p. 4