CONTENTS. CHAPTER IIL ASSOCIATION. 3 1-4. The criterion of independence — 5-10. The conception of association, and testing for the same by the comparison of percentages—11-12. Numerical equality of the differences between the four second-order frequencies and their in- dependence values—13. Coefficients of association —14. Necessity for an investigation into the causation of an attribute 4 being extended to include non-A’s . , 25-41 CHAPTER IV. PARTIAL ASSOCIATION. 1-2. Uncertainty in interpretation of an observed association—3-5. Source of the ambiguity : partial associations—6-8. Illusory association due to the association of each of two attributes with a third—9. Estimation of the partial associations from the frequencies of the second order—10-12. The total number of associations for a given number of attributes— 13-14. The case of complete independence . . . 0 CHAPTER V. MANIFOLD CLASSIFICATION. 1. The general principle of a manifold classification—2-4. The table of double entry or contingency table and its treatment by fundamental methods—5-8. The coefficient of contin- gency—9-10. analysis of a contingency table by tetrads 211-13. Isotropic and anisotropic distributions —14-15. Homogeneity of the classifications dealt with in the pre- ceding chapters : heterogeneous classifications . - . 60-74 PART IIL—THE THEORY OF VARIABLES. CHAPTER VL THE FREQUENCY-DISTRIBUTION. 1. Introductory—2. Necessity for classification of observations : the frequency-distribution—3. Tllustrations—4. Method of form- ing the table—5. Magnitude of class-intervals—6. Position of intervals—7. Process of classification—8. Treatment of intermediate observations—9. Tabulation—10. Tables with unequal intervals —11. Graphical representation of the frequency-distribution—12. Ideal frequency-distributions— 13. The symmetrical distribution—14. The moderately asymmetrical distribution—15. The extremely asymmetri- cal or J-shaped distribution—16. The U-shaped distribution ~~ 756-105 PAGE 42-5¢