Choice of test for association in small sample unordered r x c tables.

Abstract:

:Pearson's chi-squared, the likelihood-ratio, and Fisher-Freeman-Halton's test statistics are often used to test the association of unordered r x c tables. Asymptotical, exact conditional, or exact conditional with mid-p adjustment methods are commonly used to compute the p-value. We have compared test power and significance level for these test statistics and p-value calculations in small sample r x c tables, mostly 3 x 2 and some with both r and c are greater than 2. After extensive simulations, in general we recommend using an exact conditional mid-p test with Pearson's chi-squared or Fisher-Freeman-Halton's statistic, which usually is the most powerful test yet preserve the approximate significance level. Moreover, we recommend that the asymptotic Pearson's chi-squared or other asymptotic tests not be used for small sample r x c tables.

journal_name

Stat Med

journal_title

Statistics in medicine

authors

Lydersen S,Pradhan V,Senchaudhuri P,Laake P

doi

10.1002/sim.2839

subject

Has Abstract

pub_date

2007-10-15 00:00:00

pages

4328-43

issue

23

eissn

0277-6715

issn

1097-0258

journal_volume

26

pub_type

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