Woolf Test

Test for homogeneity on \(2 \times 2 \times k\) tables over strata (i.e., whether the log odds ratios are the same in all strata).

woolf_test(x)

Arguments

x

A \(2 \times 2 \times k\) table.

Value

A list of class "htest" containing the following components:

statistic

the chi-squared test statistic.

parameter

degrees of freedom of the approximate chi-squared distribution of the test statistic.

p.value

\(p\)-value for the test.

method

a character string indicating the type of test performed.

data.name

a character string giving the name(s) of the data.

observed

the observed counts.

expected

the expected counts under the null hypothesis.

See also

mantelhaen.test

References

Woolf, B. 1955. On estimating the relation between blood group and disease. Ann. Human Genet. (London) 19, 251-253.

Examples

data("CoalMiners")
woolf_test(CoalMiners)
#> 
#> 	Woolf-test on Homogeneity of Odds Ratios (no 3-Way assoc.)
#> 
#> data:  CoalMiners
#> X-squared = 26.203, df = 8, p-value = 0.0009694
#>