When investigators have N pairs of binary data, a common test for an increased rate of response is McNemar's test. However, McNemar's is an approximate, conditional test. An exact, unconditional test exists, but requires restrictive assumptions. Critical values and power tables are presented for an exact, unconditional test free of these assumptions.
Malkin, Robert A.
"An Unconditional Exact Test For Small Samples Matched Binary Pairs,"
Journal of Modern Applied Statistical Methods: Vol. 1
, Article 10.
Available at: http://digitalcommons.wayne.edu/jmasm/vol1/iss1/10