```
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

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

```