In general, an increase in variance for the sample of difference scores will cause

Question

In general, an increase in variance for the sample of difference scores will cause
1.
an increase in the standard error and an increase in the value of t
2.
an increase in the standard error and a decrease in the value of t
3.
a decrease in the standard error and an increase in the value of t
4.
a decrease in the standard error and a decrease in the value of t

( answer picked )

Answer 1

Rose:

 

Standard Error is the square root of the variance. When the variance increases, so does the standard error. Since the standard error occurs in the denominator of the t statistic,  when the standard error increases, the value of the t decreases.  I would pick Answer 2.

 

Dattaprabhakar ("Dr. G.")