Suppose two studies are to compare three means. The results are found in the data sets Study1 and Study2.
a. Copy and paste the data from Study 1 into the Multiple Means applet and report the three means, the three standard deviations, and the MAD statistic.
b. Do at least 1,000 shuffles to find a null distribution for Study 1. Report your p-value and the mean and standard deviation of the null distribution.
c. Copy and paste the data from Study 2 into the Multiple Means applet and report the three means, the three standard deviations, and the MAD statistic.
d. Do at least 1,000 shuffles to find a null distribution for Study 2. Report your p-value and standard deviation of the null distribution.
e. You should have found the MAD statistics are the same for both surveys. Explain why they are the same.
f. Even though the MAD statistics are the same, explain why the p-value for Study 2 is smaller based on the two null distributions.
g. Does this suggest it is wise to compare MAD statistics across different studies?