Does the -value of the two-sample -test that does not assume equal variances match the -value of the slope on a regression of  on a dummy variable? Suppose that the subjects in an experiment are...

Does the
-value of the two-sample
-test that does not assume equal variances match the
-value of the slope on a regression of
 on a dummy variable?

Suppose that the subjects in an experiment are reused. For example, each person in a taste test samples every product. Are these data suitable for a one-way ANOVA?