The binomial distribution and the evidence for independent action of ion channels

Calculations are presented demonstrating a class of hypothetical channel interactions which cannot be recognized by means of the commonly used binomial test. On the contrary, ion channels which interact in such a way will be identified with the help of the binomial test as independent. Thus, the binomial test cannot be used to prove the absence of interactions. Furthermore, in cases in which existing interactions are recognized by the binomial test, estimation of the strength of the interactions may be inaccurate.