The answer is bulimia. According to the scenario described in the question, Josefina most likely suffers from bulimia.
Explanation:
Bulimia is an eating disorder and a mental illness that manifests itself in the eating habits of the person. Psychologically, bulimia is a result of a person's obsesion with the control of her weight, the person uses vomit as an intent to control it.
A bulimic person will have bingeing episodes, when she eats large quantities of food and then use vomit or laxatives as a way to compensate for that overeating.
Naomi is using a categorical measurement, as she is classifying the members based on a specific class, based on determined characteristics homogeonous to each class, and that is based on qualitative aspects (not quantitative).
