nominalSymmetryTest function

Exact and McNemar symmetry tests for paired contingency tables

Conducts an omnibus symmetry test for a paired contingency table and then post-hoc pairwise tests. This is similar to McNemar and McNemar-Bowker tests in use.

nominalSymmetryTest(x, method = "fdr", digits = 3, exact = FALSE, ...)

Arguments

• x: A two-way contingency table. It must be square. It can have two or more levels for each dimension.
• method: The method to adjust multiple p-values. See stats::p.adjust.
• digits: The number of significant digits in the output.
• exact: If TRUE, uses the binom.test function. If FALSE, uses the mcnemar.test function.
• ...: Additional arguments

Returns

A list containing: a data frame of results of the global test; a data frame of results of the pairwise results; and a data frame mentioning the p-value adjustment method.

Details

The omnibus McNemar test may fail when there are zeros in critical cells.

Currently, the exact=TRUE with a table greater than 2 x 2 will not produce an omnibus test result.

Examples

### 2 x 2 repeated matrix example
data(AndersonRainBarrel)
nominalSymmetryTest(AndersonRainBarrel)
                    
### 3 x 3 repeated matrix example
data(AndersonRainGarden)
nominalSymmetryTest(AndersonRainGarden,
                    exact = FALSE)

References

https://rcompanion.org/handbook/H_05.html

See Also

pairwiseMcnemar, groupwiseCMH, pairwiseNominalIndependence, pairwiseNominalMatrix

Author(s)

Salvatore Mangiafico, mangiafico@njaes.rutgers.edu