In general,if the variance of the difference scores increases,what will happen to the value of the t statistic?
A)It will increase in magnitude (move farther toward the tail of the distribution).
B)It will decrease in magnitude (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

Quizplus · Accepted Answer

The t statistic is inversely related to the standard deviation (or square root of the variance) of the difference scores. As the variance of the difference scores increases, the denominator of the t formula (which includes the standard deviation of the differences) increases, leading to a smaller t value, or a decrease in magnitude.

In General,if the Variance of the Difference Scores Increases,what Will