Thread: test statistics/critical regions
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Old June 24th, 2009, 11:03 PM
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a-c look fine, d is just Satherwaite's approximation.

You use as your test stat

T = \frac {\bar{X} - \bar{Y}}{\sqrt{S_X^2/n + S_Y^2/m}}

The NASTY degrees of freedom (which is not an integer) can be found under...
Unequal sample sizes, unequal variance at http://en.wikipedia.org/wiki/Student's_t-test
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