Methods for Transforming Observable to Latent Variables of Adolescent Eating Behavior Using Mathematical Tools and Social Behavior Criteria

Social factors such as intelligence, attitude, self-esteem (latent variables) are variables that provide relevant information to facilitate the generation of behavioral patterns or models for experts in the social area. However, such information cannot be measured directly, since they are not quantifiable. There are underlying characteristics (observable variables) to the social factors which can be measured directly to the subject of study. For this reason, a methodology based on the transformation of variables using mathematical tools is proposed. The proposed objective is to transform observable variables into hidden variables by three methods; using the arithmetic mean, Euclidean distance and exponential function. Finally, a metric based on EMD distances is applied to evaluate the similarity of the concept resulting from the three transformation methods. The EMD metric allows to evaluate the cost paid for taking one form of distribution to another, in this case the arithmetic mean and exponential function methods generate the lowest cost, that is, there is greater similarity between the distributions of the observable variables and the distribution of the resulting construct.