Would the two-sample t-test that does not assume equal variance also match the r

Question

Would the two-sample t-test that does not assume equal variance also match the results of a regression of Y on a dummy variable?

Choose the correct answer below.

A.No, because a t-test that does not assume equal variances results in a different standard error, and possibility a different conclusion, than the t-test that does assume equal variances.

B.Yes, because a t-test that does not assume equal variances will always result in an identical p-value to a regression of Y on a dummy variable

C.No, because a t-test that does not assume equal variances is only the same as a regression of Y on a dummy variable when comparing more than two means and performing a multiple regression.

D.No, because a t-test is not affected by multiplicity. This eliminates the need to either divide alpha by the number of possible comparisons (Bonferroni's "M"), or to use the larger multiple of the standard error (Tukey's "q").

Explanation / Answer

Answer:

Would the two-sample t-test that does not assume equal variance also match the results of a regression of Y on a dummy variable?

Choose the correct answer below.

Answer: A.No, because a t-test that does not assume equal variances results in a different standard error, and possibility a different conclusion, than the t-test that does assume equal variances.

B.Yes, because a t-test that does not assume equal variances will always result in an identical p-value to a regression of Y on a dummy variable

C.No, because a t-test that does not assume equal variances is only the same as a regression of Y on a dummy variable when comparing more than two means and performing a multiple regression.

D.No, because a t-test is not affected by multiplicity. This eliminates the need to either divide alpha by the number of possible comparisons (Bonferroni's "M"), or to use the larger multiple of the standard error (Tukey's "q").

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