Full text: An Introduction to the theory of statistics

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 
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