Multiple Taxicab Correspondence Analysis of a Survey Related to Health Services

Abstract

We present an analysis of a health survey data by multiple cor- respondence analysis (MCA) and multiple taxicab correspondence analysis (MTCA), MTCA being a robust L1 variant of MCA. The survey has one passive item, gender, and 22 active substantive items representing health services oered by municipal authorities; each active item has four answer categories: this service is used, never tried, tried with no access, non re- sponse. We show that the rst principal MTCA factor is perfectly charac- terized by the sum score of the category this service is used over all service items. Further, we prove that such a sum score characterization always exists for any survey data.