Why does correcting the standard deviation to account for error in a t test make a much bigger difference for small samples than it does for larger ones?
A) We subtract 1 from the sample size, which removes a greater proportion of the total and corrects to a greater degree for smaller sample sizes compared to larger ones.
B) Small samples are biased.
C) We add 1 to the sample size, which removes a greater proportion of the total for smaller sample sizes compared to larger ones.
D) Large samples are biased.

Question

Quizplus · Accepted Answer

When correcting for error in a t test by adjusting the standard deviation, we subtract 1 from the sample size. This correction factor removes a greater proportion of the total for smaller sample sizes compared to larger ones, which is why it makes a bigger difference for small samples.

Why Does Correcting the Standard Deviation to Account for Error