Full text: An Introduction to the theory of statistics

Si THEORY OF STATISTICS. 
(67) BRowNLEE, J., ‘‘The Mathematical Theory of Random Migration and 
Epidemic Distribution,” roc. Roy. Soc. Edin., vol. xxxi., 1910-11, 
p. 262. 
(68) BROWNLEE, J., * Certain Aspects of the Theory of Epidemiology in 
Special Reference to Plague,” Proc. Roy. Soc. Medicine, Sect. Epi- 
demiolog yand State Medicine, vol. x. D, 1918, p. 85. (The appendix 
to this paper summarises the author’s results and those of Sir Ronald 
Ross ; vide infro.) 
(69) Ross, Sir RoxaLp, ‘An Application of the Theory of Probabilities to 
the Study of a priori Pathometry,” Proc. Roy. Soc., A, vol. xcii., 
1916, p. 204. 
(70) Ross, Sir RoxaLp, and HiLpa P. Hupson, ‘An Application of the 
Theory of Probabilities to the Study of priors Pathometry,” Pts. II. 
and IiI., Proc. Roy. Soc., A, vol. xciil., 1917, pp. 212 and 225. 
(71) Kxine, i&. H., “The Mathematical Theory of Population,” Appendix A 
to vol. i. of Census of the Commonwealth of Australia. (Contains a 
full discussion of the application of various frequency systems to vital 
statistics.) 
(72) Moir, H., ¢‘ Mortality Graphs,” Trams. Actuarial Soc. America, vol. 
xviii, 1917, p. 311. (Numerous graphs of mortality rates in different 
classes and periods.) 
(73) GrEENWOOD, M., and G. U. YUuLg, ‘‘ An Enquiry into the Nature of 
Frequency Distributions representative of Multiple Happenings, with 
particular reference to the Occurrence of Multiple Attacks of Disease 
or of Repeated Accidents,” Journ. Roy. Stat. Soc., vol, 1xxxiii., 1920, 
p- 255. 
Goodness of Fit (p. 315 and p. 370). 
(74) Pearson, Kary, On a Brief Proof of the Fundamental Formula for 
testing the Goodness of Fit of Frequency Distributions and on the 
Probable Error of P,” Phil. Mag., vol. xxx. D (6th ser.) 1916, p. 369. 
(75) PEARrsoN, Karp, Multiple Cases of Disease in the same House,” 
Biometrika, vol. 1x., 1913, p. 28. (A modification of the goodness-of- 
fit test to cover such statistics as those indicated by the title.) 
(76) Fisuer, R. A., “On the Interpretation of x? from Contingency Tables, 
* and the Calculation of P,” Jour. Roy. Stat. Soc., vol. 1xxxv., 1922, 
p- 87. 
(77) YuLE, G. U., ‘On the Application of the x? Method to Association and 
Contingency Tables, with experimental illustrations,” Jour. Roy. Stat. 
Soc., vol. 1xxxv., 1922, p. 95. After correspondence with Mr Fisher 
I wish to withdraw the statement on p. 97 of this paper, that a full 
proof [of the general theorem as applied to contingency tables] seems 
still to be lacking: he has convinced me that his proof covers the case. 
The three following are controversy on the two preceding papers i— 
(78) PEARSON, KARL, «On the x2 Test of Goodness of Fit,” Biometrika, 
vol, xiv., 1922, p. 186; and Further Note,” ¢bid., p. 418. 
(79) BowLEY, A. L., and R. L. CoxNoOg, * Tests of Correspondence between 
Statistical Grouping and F ormule,” Economica, 1923, p. 1. ” 
(80) FisuER, R. A., Statistical Tests of Agreement between Observation 
and Hypothesis” (with a note in reply by A. L. Bowley), Economica, 
1923, p. 139. " 
(81) Fisuer, R. A., “The Conditions under which x? measures the dis- 
crepancy between Observation and Hypothesis,” Jour. Roy. Stat. Soc., 
vol. lxxxvii., 1924, p. 442. 
Qee also references 28 and 29. 
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