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Cochran´s Q Statistic

Cochran´s Q Statistic:

Cochran´s Q statistic is computed from replicated measurements data with binary responses. This statistic tests a difference in effects among 2 or more treatments applied to the same set of experimental units.

Consider the results of a study of M treatments applied to N experimental units (e.g patients or laboratory animals). The outcomes of individual measurements for the (i)th treatment of the (j)th unit are binary variables {Vij;   i=1,...,M;   j=1,...,N} taking on two values "0" or "1" (e.g. "No effect" or "Effect is found").

The Cochran Q statistic is computed by the formula

 

Q =
M(M-1) M
Ã¥
i=1 
(Gi - mean(G)   )2

M N
?
j=1 
Lj - N

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Courses Using This Term

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Categorical Data Analysis
This course will teach you the analysis of contingency table data. Topics include tests for independence, comparing proportions as well as chi-square, exact methods, and treatment of ordered data. Both 2-way and 3-way tables are covered.
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