‘The Value Map’ – Graphic Analysis Proposal
Purpose: This paper presents the Rybaczuk Graphic Method (RGM), an advanced graphical approach to the visualization and analysis of multidimensional data structures. The method is applied to construct a value map based on the seven value types of Schwartz’s value model, providing a framework for examining the relationships between objects and their associated features. Design/methodology/approach: The RGM represents feature points uniformly along the circumference of a unit circle, while object points are positioned within the circle. Standardized feature values ((x_{ij})) for each object (i) and feature (j) are used to determine the corresponding geometrical distances ((d_{ij})) between object and feature points. An optimization algorithm minimizes discrepancies between the empirical feature values and their geometrical representations, subject to constraints that keep feature points on the circumference and object points inside the circle. Findings: The method provides a graphical representation of multidimensional data that facilitates the examination of structural configurations and the identification of relationships among objects, individual features, and pairs of features. Its application to Schwartz’s value model illustrates how the RGM can be used to represent and explore the structure of value-related data. Practical implications: The RGM offers a potential analytical tool for researchers investigating value structures and other multidimensional phenomena. Its graphical representation may support the interpretation of complex relationships that are difficult to identify using conventional numerical presentations alone. Originality/value: The paper presents an optimization-based graphical method for representing multidimensional data and demonstrates its application to value mapping based on Schwartz’s value model. The approach integrates standardized empirical measurements with geometrical constraints to provide an interpretable representation of object–feature relationships.