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Testing for positive quadrant dependence in ordinal contingency table
Author(s) -
Nguyen Truc T.,
Sampson Allan R.
Publication year - 1987
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(198712)34:6<859::aid-nav3220340611>3.0.co;2-t
Subject(s) - contingency table , mathematics , statistics , ordinal data , resampling , independence (probability theory) , statistical hypothesis testing , econometrics , combinatorics
Two new randomization tests are introduced for ordinal contingency tables for testing independence against strictly positive quadrant dependence, i.e., P ( X > x , Y > y ) ≥ P ( X > x ) P ( Y > y ) for all x,y with strict inequality for some x and y . For a number of cases, simulation is used to compare the estimated power of these tests versus those standard tests based on Kendall's T , Spearman's p , Pearson's X 2 , the usual likelihood ratio test, and a test based upon the log‐odds ratio. In these cases, subsets of the alternative region are identified where each of the testing statistics is superior. The new tests are found to be more powerful than the standard tests over a broad range of the alternative regions for these cases.