In: Statistics and Probability
Participants enter a research study with unique characteristics that produce different scores from one person to another. For an independent-measures study, these individual differences can cause problems. Briefly explain how these problems are eliminated or reduced with a repeated-measures study
Answer:
Consider two datasets which produce a mean difference of Md = 3.5.
As a researcher, you would like to know if this mean difference
of 3.5 was caused by the treatment. If this study were to be an
independent-measures design, then it would be possible that the
participants in treatment had different characteristics (For
example, a mean difference of 3.5 in test scores could be because
the first group participants were inherently more capable that
those in the second group). But with repeated -measures design,
this problem is eliminated because the same set of participants is
used in the treatment.
Another advantage of repeated-measures design is that since the SS
and variance are computed for the difference in scores, the
individual differences within samples is eliminated. (For example,
a big difference between two data values A and B in both treatments
are eliminated once we take the difference). Because the individual
differences are eliminated, the variance and S are considerably
reduced, and this increases the probability of finding a
significant result.