Open AccessOn a property which holds good for all groupings of a normal distribution of frequency for two variables, with applications to the study of contingency-tables for the inheritance of unmeasured qualities
Author(s) -
George Yule
Publication year - 1906
Publication title -
proceedings of the royal society of london. series a, containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1906.0029
Subject(s) - contingency table , table (database) , row , mathematics , property (philosophy) , contingency , combinatorics , distribution (mathematics) , inheritance (genetic algorithm) , statistics , computer science , mathematical analysis , data mining , biology , genetics , philosophy , linguistics , epistemology , database , gene
1. Suppose a contingency-table to have been formed for two characters A and B which have been assigned in some way into classes A1 ...Ar , B1 ...Bs , the table havingr columns,s rows, and giving the frequencies of occurrence of all combinations like Am Bn . Let (Am ) (Bn ) denote the frequencies of Am and Bn (Am Bn ) the frequency of their combination. Extract from the general contingency-table any four adjacent frequencies, say— (Am Bn ), (Am + 1Bn ) (Am Bn +1), (Am + 1Bn + 1).