McNemar test McNemar's Chi-squared test data: purity$r1 and purity$r2 McNemar's chi-squared = 1.1429, df = 1, p-value = 0.285 Mantel-Haenszel chi-squared test without continuity correction data: xtabs(~proc + r + batch, data = purity2) Mantel-Haenszel X-squared = 1.1429, df = 1, p-value = 0.285 alternative hypothesis: true common odds ratio is not equal to 1 95 percent confidence interval: 0.6032467 5.3709368 sample estimates: common odds ratio 1.8 Fake comparisons of McNemar and Pearson b a 0 1 0 100 50 1 50 25 Pearson's Chi-squared test data: tab X-squared = 0, df = 1, p-value = 1 McNemar's Chi-squared test data: tab McNemar's chi-squared = 0, df = 1, p-value = 1 b a 0 1 0 100 50 1 50 0 Pearson's Chi-squared test data: tab X-squared = 22.222, df = 1, p-value = 2.428e-06 McNemar's Chi-squared test data: tab McNemar's chi-squared = 0, df = 1, p-value = 1 b a 0 1 0 200 50 1 100 25 Pearson's Chi-squared test data: tab X-squared = 0, df = 1, p-value = 1 McNemar's Chi-squared test data: tab McNemar's chi-squared = 16.667, df = 1, p-value = 4.456e-05 Poisson regression model Poisson regression model with offset Analysis of Deviance Table Model: poisson, link: log Response: falls Terms added sequentially (first to last) Df Deviance Resid. Df Resid. Dev NULL 11 17.849 factor(month) 11 17.849 0 0.000 Chi-square approach Chi-squared test for given probabilities data: falls$falls X-squared = 17.692, df = 11, p-value = 0.089