An Analysis of the Association Rates Between Numbers From 1 To 20

To each number from 1 to 20, 196 subjects were asked to associate three other numbers chosen within the same range. The analysis of the frequency tables allowed us to define 21 types of relationships, distributed into four classes: neighbourhood on the magnitude scale, symmetry relative to 10, simple ratios, and common membership of some typical number families. The weight of each factor was estimated, and possible interactions were examined when two or more factors were involved in a single number pair. Some organizational principles were proposed