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## Unequal variance t-test - using R ### Functions for multinomial andtwo sample independent binomial

Note that because the X2 statistic is being compared to an estimate of the exact distribution, rather than to an approximate continuous model, the 'x2' function (below) does not use a continuity correction.
These instructions have to be entered before using the second set of code below.

### Testing 4 frequencies (a,b,c,d) using themultinomial model and mid-P inference

Gives something like this: 0.06270875 ### Testing 4 frequencies (a,b,c,d) using the two sampleindependent binomial model and conventional inference

Gives something like this: 0.06894862 Remember, since these results are obtained by taking a finite number of random samples, they are only estimates of the statistic's 'exact' distribution, so will differ slightly upon repetition.