In general,what is the effect of an increase in the variance for the sample of difference scores?
A)An increase in the standard error and an increase in the value of t
B)An increase in the standard error and a decrease in the value of t
C)A decrease in the standard error and an increase in the value of t
D)A decrease in the standard error and a decrease in the value of t

Question

Quizplus · Accepted Answer

An increase in the variance for the sample of difference scores will increase the standard error because a larger variance indicates that the sample means are more spread out and less likely to represent the population mean. This greater variability means that the t-value will decrease because it becomes less likely that the observed difference is significant. Therefore, the correct answer is B: An increase in the standard error and a decrease in the value of t.

In General,what Is the Effect of an Increase in the Variance