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The Distribution of the χ 2 Statistic in Small Contingency Tables
Author(s) -
Craddock J. M.,
Flood C. R.
Publication year - 1970
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.2307/2346547
Subject(s) - contingency table , statistic , statistics , distribution (mathematics) , mathematics , econometrics , computer science , mathematical analysis
Summary An investigation is made into the distribution of the χ 2 statistic in contingency tables of sizes from 5 times 5 down to 3 times 2 when the average expectancies, based on the marginal totals, are about equal, and lie in the range from 1 to 5. Tables of the percentile values required for significance testing are produced and show systematic deviations from those of the χ 2 distribution. Similar results are given for testing 5 times 1, 4 times 1 and 3 times 1 frequency tables against the hypothesis of equal expected values.