fisher.bintest: Fisher's exact test for binary variables
Description
Performs a Fisher's exact test for comparing response probabilities (i.e. when the response variable is a binary variable). The function is in fact a wrapper to the Fisher's exact test for count data. If the p-value of the test is significant, the function performs pairwise comparisons by using Fisher's exact tests.
a formula of the form a ~ b, where a and b give the data values and corresponding groups, respectively. a can be a numeric vector or a factor, with only two possible values (except NA).
data
an optional data frame containing the variables in the formula formula. By default the variables are taken from environment(formula).
alpha
significance level to compute pairwise comparisons.
p.method
method for p-values correction. See help of p.adjust.
Value
method.testa character string giving the name of the global test computed.
data.namea character string giving the name(s) of the data.
alternativea character string describing the alternative hypothesis.
estimatethe estimated probabilities.
null.valuethe value of the difference in probabilities under the null hypothesis, always 0.
p.valuep-value of the global test.
alphasignificance level.
p.adjust.methodmethod for p-values correction.
p.value.multcompdata frame of pairwise comparisons result.
method.multcompa character string giving the name of the test computed for pairwise comparisons.
Details
If the response is a 0/1 variable, the probability of the '1' group is tested. In any other cases, the response is transformed into a factor and the probability of the second level is tested.
Since chi-squared and G tests are approximate tests, exact tests are preferable when the number of individuals is small (200 is a reasonable minimum).