The standard error of the difference $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ is equal to the standard error of the difference $\bar { X } _ { 2 } - \bar { X } _ { 1 }$ .

Question

Quizplus · Accepted Answer

The standard error of the difference between two sample means is the same regardless of the order of subtraction, as it depends on the variances and sample sizes of the two groups, which are symmetric in this context.

The Standard Error of the Difference Xˉ1−Xˉ2\bar { X } _ { 1 } - \bar { X } _ { 2 }Xˉ1​−Xˉ2​

The Standard Error of the Difference $\bar { X } _ { 1 } - \bar { X } _ { 2 }$