t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Unequal Variances $s^2 = frac{(n_1 - 1)s_1^2 + (n_2 - 1)s_2^2}{(n_1 + n_2 - 2)}$ $t = frac{|ar{x}_1 - ar{x}_2|}{ssqrt{frac{1}{n_1} + frac{1}{n_2}}}$ $t = frac{|ar{x}_1 - ar{x}_2|}{sqrt{frac{s_1^2}{n_1} + frac{s_2^2}{n_2}}}$ $v = frac{(frac{s_1^2}{n_1} + frac{s_2^2}{n_2})^2}{frac{s_1^4}{n_1^2(n_1 - 1)} + frac{s_2^4}{n_2^2(n_2 - 1)}}$
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Unequal variances (heteroscedasticity) mean that the variances are different between the two groups, indicating a dissimilar spread of data points. Show more…
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