Nonparametric Statistics

Ho and Ha

Test statistics to use

Tail of distribution

Decision Rule

Computation

Decision

Conclusion

In an attempt to compare the relative power of three statistical tests, 100 sets of simulated data were generated. On each set of data the three statistical tests were used and the decision to reject or failing to reject the null hypothesis was recorded. Success was defined as having to reject the null and we consider each combination of results as the blocks. Test if there is a difference in the power of the three tests when applied to populations from which the simulated data were obtained. The results were as follows: (15 pts.) Test 1 Test 2 Test 3 Number of Sets of Data Fail to reject Fail to reject Fail to reject 26 Fail to reject Fail to reject Reject 6 Fail to reject Reject Fail to reject 12 Reject Fail to reject Fail to reject 4 Reject Reject Fail to reject 18 Reject Fail to reject Reject 5 Fail to reject Reject Reject 7 Reject Reject Reject 22