In general,if the variance of the difference scores increases,then what will happen to the value of the t statistic?
A)It will increase (move farther toward the tail of the distribution).
B)It will decrease (move toward 0 at the center of the distribution).
C)It will stay the same; the t statistic is not affected by the variance of the difference scores.
D)It may increase or may decrease. There is no consistent relationship between variance and the size of the t statistic.

Question

In general,if the variance of the difference scores increases,then what will happen to the value of the t statistic?​
A)It will increase (move farther toward the tail of the distribution).​
B)​It will decrease (move toward 0 at the center of the distribution).
C)​It will stay the same; the t statistic is not affected by the variance of the difference scores.
D)​It may increase or may decrease. There is no consistent relationship between variance and the size of the t statistic.

Quizplus · Accepted Answer

The t statistic is inversely related to the variance of the difference scores. As the variance increases, the denominator in the t formula (which includes the standard error, itself a function of variance) increases, leading to a smaller t value, hence moving it toward 0 at the center of the distribution.

In General,if the Variance of the Difference Scores Increases,then What