Simplified Independent Complex Samples T-Test - Comparing Two Means

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Where x¯ and y¯ are the two means and sx¯ and sy¯ are their Standard Errors, the test statistic is:

t=x¯y¯sx¯2+sx¯2,

where:

p=2Pr(tv|t|),
v=(sx¯2+sx¯2)2(sx¯2)2n1+sy¯2)2m1
the groups have sample sizes of m and n respectively.